By the end of June 2016, my term as department chair of the Department of Mathematics will come to a close. This July, I will move to a regular faculty office in the Weber building, where I will be able to give more time and focus to my research. Although my future retirement maybe eminent, I am not ready to take that final plunge yet! Looking back over the last five years, I am pleased with a number of positive changes and transformations that occurred during my term. We introduced two new undergraduate courses, a sophomore-level course preparing students for the proof-based junior and senior courses, and a senior-level Fourier-Wavelets course that provides professional training in signal and data analysis. As you will notice further inside this newsletter, in the fall of 2015 our department began an undergraduate poster session for students enrolled in 400 level mathematics courses. Our first poster session in the fall semester had 13 participants, followed by 37 this spring semester. The quality of these posters was very noteworthy. I hope this program continues to grow in future semesters ahead. On the graduate level, we made changes to the MS program in applied and computational mathematics, and it is now consistent with our course offerings. In addition, a number of new courses were established in both applied mathematics and number theory. The newly established SIAM Student Chapter enhances communication among our graduate students and provides additional seminars in applied and computational mathematics designed specifically for graduate students. Both our undergraduate and graduate student populations have shown a great deal of accomplishments and promise. Our Putnam Competition team had the best performances during the last 10 years, with two students placed in the top 15% of the over 400 contestants in 2013, the 2014-team ranked 122 out of 557 teams, and the 2015-team ranked 31 out of 554. Several of our graduate students successfully competed for prestigious postdoc positions at national labs and other high-ranked institutions. Many graduates secured tenure track positions at colleges and universities, while others were hired into promising positions in industry. Additional information regarding our recent graduates can be found inside this newsletter. Our department, including the PACe program, continues to provide service courses to approximately 10,000 students across campus each academic year. Despite growing enrollment numbers, we were able to maintain, and in most cases improve, the success rates of these courses, which are consistently rated as stable and above the national average. By following our policy of continuous dialogue with client departments across campus, we collaborated with faculty from chemistry in establishing a new mathematics sequence for their majors. These changes serve to increase the success of chemistry students in their program of study. The past two years, our course coordinators of calculus I (MATH 160), calculus II (MATH 161), and calculus for biological scientists (MATH 155), have put an enormous amount of effort helping students to succeed in these freshmen level courses. By introducing the concepts of active learning, flipped classrooms, and evidence based pedagogy, the way students are learning mathematics continues to evolve and change. The department’s newly established Calculus Center offers an exciting opportunity to streamline and expand on these efforts. This program will include special Mathematics Spring 2016 Newsletter Looking back at my 5-year term as Department Chair Dr. Gerhard Dangelmayr
Transcript
By the end of June 2016, my term as department chair of the Department of Mathematics will come to a close. This July, I will move to a regular faculty office in the Weber building, where I will be able to give more time and focus to my research. Although my future retirement maybe eminent, I am not ready to take that final plunge yet! Looking back over the last five years, I am pleased with a number of positive changes and transformations that occurred during my term. We introduced two new undergraduate courses, a sophomore-level course preparing students for the proof-based junior and senior courses, and a senior-level Fourier-Wavelets course that provides professional training in signal and data analysis. As you will notice further inside this newsletter, in the fall of 2015 our department began an undergraduate poster session for students enrolled in 400 level mathematics courses.
Our first poster session in the fall semester had 13 participants, followed by 37 this spring semester. The quality of these posters was very noteworthy. I hope this program continues to grow in future semesters ahead. On the graduate level, we made changes to the MS program in applied and computational mathematics, and it is now consistent with our course offerings. In addition, a number of new courses were established in both applied mathematics and number theory. The newly established SIAM Student Chapter enhances communication among our graduate students and provides additional seminars in applied and computational mathematics designed specifically for graduate students. Both our undergraduate and graduate student populations have shown a great deal of accomplishments and promise. Our Putnam Competition team had the best performances during the last 10 years, with two students placed in the top 15% of the over 400 contestants in 2013, the 2014-team ranked 122 out of 557 teams, and the 2015-team ranked 31 out of 554. Several of our graduate students successfully competed for prestigious postdoc positions at national labs and other high-ranked institutions. Many graduates secured tenure track positions at colleges and universities, while others were hired into promising positions in industry. Additional information regarding our recent graduates can be found inside this newsletter. Our department, including the PACe program, continues to provide service courses to approximately 10,000 students across campus each academic year. Despite growing enrollment numbers, we were able to maintain, and in most cases improve, the success rates of these courses, which are consistently rated as stable and above the national average. By following our policy of continuous dialogue with client departments across campus, we collaborated with faculty from chemistry in establishing a new mathematics sequence for their majors. These changes serve to increase the success of chemistry students in their program of study. The past two years, our course coordinators of calculus I (MATH 160), calculus II (MATH 161), and calculus for biological scientists (MATH 155), have put an enormous amount of effort helping students to succeed in these freshmen level courses. By introducing the concepts of active learning, flipped classrooms, and evidence based pedagogy, the way students are learning mathematics continues to evolve and change. The department’s newly established Calculus Center offers an exciting opportunity to streamline and expand on these efforts. This program will include special
Mathematics
Spring 2016 Newsletter
Looking back at my 5-year term as Department Chair
training for all GTA’s teaching our service courses. Not to be forgotten, our department also established a distance learning program for a number of undergraduate courses. This program continues to grow and excel in a number of directions, and is seeing enrollment increases each semester. Early in my term as chair, the task of reviewing and revising the department code was finalized. Despite the challenges of the economic recession and the accompanying budget cuts to higher education, our department has emerged stronger than in previous years. In 2010, we had the lowest number of regular faculty (22) in the new millennium, while in 2016 the number of regular faculty will have risen to 31, the highest number after 2000. The number of special faculty increased from one to four, including the hire of non-tenure track assistant professors for the distance learning program and the Calculus Center. Administrative professionals increased from three to four, including the hire of an Academics Support Coordinator and the Associate Director of the Calculus Center. The new regular faculty hires comprise disciplinary hires in algebraic geometry, number theory, inverse problems, applied mathematics and numerical PDE’s, as well as CNS cluster hires in mathematical aspects of materials science, mathematics of education, and data science. Our recently hired faculty include rising stars with exciting new directions for cutting edge research, allowing for many possibilities to collaboration within the department, as well as interdisciplinary collaborations across campus. All of these changes and new hires are extremely exciting, opening doors for interesting future prospects. The Weber building in itself is always a challenge as our faculty, administrative professionals, postdocs, and instructor numbers increase. In 2014, we remodeled our computer lab space on the second floor to include two updated computer labs, and four additional faculty offices. In the summer of 2015, a section of the basement was completely remodeled to make room for 15 additional graduate student cubicles. Also in 2015, we saw the final build-out of the computer machine room in the basement of Weber. This room houses ten computer clusters used by several faculty members to aid them in their research. This was followed by remodeling another adjoining section of the basement in January of 2016, for our new Calculus Center. As a department the last five years, we have been deeply saddened by the passing of our dear friends and emeriti Dick Painter, Ralph Niemann and Gennie Garst. We were also deeply saddened by the passing of our longtime supporter and friend Margaret "Peggy" Magnus, the wife of former faculty member Dr. Arne Magnus. Mrs. Magnus established the Arne Magnus Lecture Fund in 1992 as a memorial to her beloved husband. She also introduced the Magnus scholarship for undergraduate majors in Mathematics. As I pass the chair duties to my capable successor, Prof. Ken McLaughlin, coming to us from the University of Arizona, I want to thank the friends, alumni and other supporters of the department for their sustained encouragement, support and friendship. I also want to thank Dean Janice Nerger for the pleasant collaboration and her consistent support of our department. Under her continued leadership, I know we will grow and expand in the years ahead. In the department, I want to thank my associate chairs, Professors Alexander Hulpke and Jennifer Mueller, for their enjoyable collaboration during my term, including the significant amount of time and effort they invested in the program review. I am deeply indebted to Hilary Freeman for her efforts in building and managing the teaching assignments and many other administrative tasks that keep the department running smoothly. Without the professionalism of our front office staff, Bryan Elder, Annette Gonzales and Kate Sherman, and the accounting office staff, Sheri Hofeling and Jane Owen-Maul, the department would not have been able to master the increasingly complex tasks that had to be accomplished. A special thanks goes to my personal assistant, Christie Franklin, for her constant and persistent help and support throughout my term, which often included a number of addition hours necessary to finish a task or meet a deadline.
This coming fall 2016, the Department of Mathematics will open the doors to a new Calculus Center. The mission of the Calculus Center is to improve student learning and academic performance for all students in our calculus courses, while maintaining our commitment to provide a first-class undergraduate calculus education. This mission is one of the primary goals of the Department of Mathematics: To facilitate positive changes and implement continuous improvements in the teaching and learning of undergraduate mathematics at Colorado State University. The center will accomplish this by reinvigorating the way calculus is taught at CSU, with innovative pedagogy, the utilization of new technologies inside and outside the classroom, and the expansion and improvement of tutoring and small group mentoring to increase student learning in a sustainable way.
The center will ensure consistent, high-quality teaching in calculus by providing a support structure for the coordinators of the various calculus courses. Important components of this support structure will be support of student tutoring and small group learning, support of teaching innovations and use of technology in the classroom, and maintaining a training and mentoring program for instructors, undergraduate tutors and mentors. To guarantee state of the art pedagogy and continuous improvement in calculus instruction, the center will facilitate research and the development of scholarship in the science of teaching and learning. In particular, the center will serve as a
communication center for faculty engaged in the scholarship of teaching and learning undergraduate mathematics at CSU and facilitate and organize scholarly activities on teaching and learning, while maintaining a vigorous research program related to calculus instruction and student performance
The calculus center will initially be overseen by two Co-Directors. A Director of Research: Dr. Mary Pilgrim and a Director of Operations: Dr. Anton Betten. Additionally, the Department received funds for opening two new positions for staffing the center. A Special Assistant Professor: Dr. Cameron Byerley and an Administrative Professional acting as Associate Director: Janet Oien, will join the department in fall 2016.
The Department of Mathematics establishes a new Calculus Center
Colorado State University honored the faculty and staff who have reached service milestones during the 2015-16 fiscal year at the Celebrate CSU Milestones event. This unique event takes place each year to recognize, celebrate and congratulate the people who make the CSU community what it is today. With more than 750 employees celebrating milestones this year, the event showcased the best the University has to offer, from all disciplines and departments. This all-University event to commemorate retirement and years of service was held on Thursday, April 28, 2016 in the LSC Grand Ballroom. Congratulations to the following individuals being recognized from the Department of Mathematics. To view the complete list of honorees go to: http://csuevents.colostate.edu/celebrate-employee-milestones-of-service/
Oleg Emanouilov Alexander Hulpke James Liu
10 years 15 years 10 years
Jennifer Mueller Will Newton Zube 15 years 10 years 25 years
M. Gregory Forest Grant Dahlstrom Distinguished Professor Departments of Mathematics & Biomedical Engineering Director, Carolina Center for Interdisciplinary Applied Mathematics University of North Carolina at Chapel Hill
The 2016 Magnus Lecture Series was held April 4 – 6, 2016, hosted by the Department of Mathematics. This year’s guest speaker was Professor M. Gregory Forest from UNC, Chapel Hill. While visiting, Professor Forest gave three impressive talks: PUBLIC LECTURE Title: The Virtual Lung Project at UNC Abstract: In the late 1990s, the Virtual Lung Project (VLP) at the University of North Carolina (UNC) at Chapel Hill began as an interdisciplinary response to the mucus transport problem for cystic fibrosis patients, integrating basic and medical science toward an understanding of disease and the potential for science-based, engineering solutions. Lung biologists Ric Boucher, John Sheehan, and Bill Davis of the UNC Cystic Fibrosis Center, now the Marsico Lung Institute, teamed with physicists Rich Superfine and Michael Rubinstein, applied mathematicians Greg Forest, Roberto Camassa, Tim Elston, Rich McLaughlin, and Sorin Mitran, and computer scientist Russ Taylor. All saw the opportunity to formulate open questions from mathematics, microscopy, stochastic processes, fluid mechanics, rheology, materials science, and computational science, in one remarkable biological system – lung transport of mucus. This lecture will survey the biology, the pathology, experiments and data, selected highlights of progress, with an emphasis on the role of mathematics and computation interwoven with medical science and biology. Contributions from many former PhD students, postdocs, and faculty will be acknowledged during the lecture. COLLOQUIUM – OPEN TO FACULTY AND GRADUATE STUDENTS Title: Dynamic organization of DNA in living yeast Abstract: DNA molecules are packaged in the cell nucleus in a sequence of compression steps by different molecular species, e.g., histones, condensin, and cohesin. While the genome has been sequenced from yeast to human, a current focus in biology is on the post-genome questions: how does the genome organize and interact throughout the cell cycle; what features of this dynamic organization can be explained simply from entropy of molecular confinement; and, what features require "intelligent design", guided by specific molecular species. My group, led by Paula Vasquez, together with David Adalsteinsson and several joint math-biology graduate students, has worked with Kerry Bloom's lab to weave experiments and modeling of chromosomal DNA in living yeast. This lecture will survey progress of that collaboration. RESEARCH SEMINAR – OPEN TO FACULTY & ADVANCED GRADUATE STUDENTS Title: Transient anomalous diffusion in mucus gels and other biological fluids Abstract: Measurements of Brownian probes in viscous fluids have remarkably robust time series, e.g., mean-squared displacement (MSD) scales linearly with time, and one can use such data to determine the fluid viscosity. Passive microrheology generalizes this classical protocol to determine dynamic viscous and elastic moduli of complex fluids, i.e., the loss and storage modulus across a broad frequency range. One finds that in mucus gels, micron-scale particle paths are sub-diffusive (MSD scales sub-linearly with time) and transient (the local MSD power law exponent changes over time). Our group uses microbead time series data both as a viscoelasticity protocol and for inference of diffusive transport across mucus barriers. For the latter purpose, one must model the underlying stochastic process, since little is known about passage time distributions for transient anomalous diffusion. This lecture will cover the more technical aspects of data analysis, model inference, and direct simulations, based on joint work with a host of collaborators to be acknowledged.
Brief Biography M GREGORY (GREG) FOREST is an applied mathematician at UNC Chapel Hill with a long history of building collaborations that cross traditional boundaries. His early career was devoted to nonlinear wave theory and applications to hydrodynamics, solid-state physics and nonlinear optics. He migrated into polymer science with applications to inkjet printing, textile spinlines and spider silk, flowing liquid crystals and nano-rod composites. For the past 15 years, Forest has taken a deep dive into biology, starting with the Virtual Lung Project. Over the past five years, his group has built strong collaborations in molecular cell biology and cell motility as well as antibody-based vaccines for viral diseases. Scores of applied mathematicians have built careers in these collaborative ventures. The Arne Magnus Lectures are given annually in the Department of Mathematics at Colorado State University in honor of Dr. Arne Magnus, our friend and colleague for 25 years. The 20015 lectures were supported by the Arne Magnus Lecture Fund. Contributions to the Magnus Fund are greatly appreciated and may be made through the Department of Mathematics. Please contact Sheri Hofeling ([email protected]) at (970)-491-7047 for specific details and information.
The CSU team ranked 31st out of 554 participating institutions from the United States and Canada. Congratulations to all students who participated in the Putnam practice session. Individual students taking the exam included: Ethan Coldren Amber Moin Nabeel Moin Katy Sieviec Gavin Stewart Sean Walters The Colorado State Putnam team included: Ethan Coldren Nabeel Moin Gavin Stewart. With an individual ranking of 235th, Gavin Stewart made the honor list of the top 500 contestants (out of 4,275) that is distributed to each participating university. The CSU Putnam team was advised by Professor Henry Adams, and the team would also like to acknowledge Professor James Wilson for his leadership in recent years which was instrumental for the team this year. The Putnam competition is widely considered the most prestigious university-level mathematics examination in the United States and Canada. The six hour exam is difficult enough that the median score is often zero or one out of 120 (as was the case in 2015), despite being attempted by self-selected students specializing in mathematics. The competition was founded in 1927 by Elizabeth Lowell Putnam in memory of her husband William Lowell Putnam, has been offered annually since 1938, and is administered by the Mathematical Association of America. The Putnam is a valuable opportunity for our department to attract more math majors; please see the CSU Putnam team website for further information. Congratulations to each of the 2015 CSU participants!
2015 team (left to right): Henry Adams, Ethan Coldren, Gavin Stewart, Nabeel Moin, Amber Moin, Katy Sieviec. Not pictured: Sean Walters.
Congratulations to the 2015 Colorado State University William Lowell Putnam Mathematical Competition!
The department graduate committee elected Melody Alsaker for their 2015-16 Outstanding Graduate Teaching Assistant (GTA) award recipient. Her research interest is in 2-D Electrical Tomograhpy. Her adviser is Prof. Jennifer Mueller. Melody graduated this past May with a PhD in Mathematics and will be starting as a tenure-track assistant professor position at Gonzaga University in Spokane Washington. Congratulations Melody!
The department graduate students elected Prof. Rachel Pries as the 2015-16 Outstanding Professor in Graduate Instruction. Prof. Pries joined Colorado State in 2002 and is currently working on her research related to moduli spaces of curves and abelian varieties, and Galois theory of curves in positive characteristic. Congratulations Rachel!
Please join our department in congratulating both Melody and Rachel for their excellent instructional contribution in 2015-16.
After graduating with a degree in electrical engineering from college in her native Ethiopia, Rebecca Girma has spent the past two years studying her passion — mathematics — in CSU’s College of Natural Sciences. She is receiving her second bachelor’s degree this month.
Girma has always loved math, but she recognized that having a math degree in Ethiopia didn’t give her many opportunities unless she wanted to go into teaching, a field she didn’t see herself pursuing. Soon she realized she loved electrical engineering, but still faced challenges.
“In addition to the education and the difficulty of finding materials, there were many more things I had to deal with, especially being in engineering,” Girma says. “Engineering is seen as a more masculine field in general. With maybe five girls in my class, being a female in the field wasn’t easy.”
Moving to a new continent to take up a new field of study here at CSU wasn’t always easy, either.
2015-2016 Outstanding Professor in Graduate Instruction Outstanding Graduate Teaching Assistant
Mathematics major Rebecca Girma recognized as an Outstanding Graduate for the College of Natural Sciences
“The first semester was quite the struggle with adjustments,” Girma says. “Especially the food, the food was the hardest. I’m just used to a lot of spices. My hallmates used to really laugh at me because I used so much hot sauce when we would go to the dining halls. They were like, “They’re running out of hot sauce because of you, Rebecca.”
Overall, however, Girma has thoroughly enjoyed her experience at CSU. She noted that the campus is very student-oriented and provides resources for extra help outside of class, as well as professors who are available to students for further assistance.
Girma also works in the Office of International Programs as a student program coordinator. Serving as a liaison between the office and the nonprofit Fort Collins International Center, she uses her personal experiences to assist international students while they are here.
As a member of the President’s Multicultural Student Advisory Committee, she also helps identify concerns and advises CSU President Tony Frank and the administration on opportunities for improvements on issues of diversity and inclusiveness on campus.
Football games will certainly not go down as one of her favorite things to do at CSU, since she still doesn’t understand the rules, but International Programs is here to help.
“We have Basketball 101, Football 101 and Tennis 101 for the students, as they may not know the rules to those different sports or have them in their home country,” she says. “We try to give new international students a general overview of the rules, and we coordinate with the coaches of the teams to come and talk to us about the rules and how the game is played before going to see a game.”
With her experience in math and electrical engineering, Girma plans to become an IT consultant.
“I love being given a problem and working through it, coming up with new ideas and trying them,” she said. “They may not always work, but I am persistent.”
* Content of article submitted by College of Natural Sciences
Spring 2016
Melody Alsaker – PhD Advisor: Jennifer Mueller Thesis title: Computational Advancements in the D-bar Reconstruction Method for 2-D Electrical Impedance Tomography After graduation: Tenure track assistant professor, Gonzaga University Fall 2015 Anne Ho – PhD Advisor: Rachel Pries Thesis title: Counting Artin-Schreier Curves Over Finite Fields After graduation: Assistant Professor, Coastal Carolina University
Recent Graduates of the Mathematics Graduate Program
Summer 2015 Mark Blumstein – MS Advisor: Jeanne Duflot Thesis title: Dimension and Multiplicity of Graded Rings and Modules After graduation: PhD, Colorado State University Sofya Chepushtanova - PhD Advisor: Michael Kirby Thesis title: Algorithms for Feature Selection and Pattern Recognition on Grassmann Manifolds After graduation: Assistant Professor of Mathematics & Computer Science, Wilkes University Benjamin Cooper - PhD Advisor: Tim Penttila Thesis title: Abstract Hyperovals, Partial Geometries, & Transitive Hyperovals After graduation: Unknown Eric Hanson - PhD Advisor: Dan Bates Thesis title: Algorithms in Numerical Algebraic Geometry and Applications After graduation: Instructor, Texas Christian University Steven Ihde - PhD Advisor: Dan Bates Thesis title: Preconditioning Polynomial Systems Using Macaulay Dual Spaces After graduation: Analyst, State of Colorado Michael Mikucki - PhD Advisor: Yongcheng Zhou Thesis title: Electromechanical and curvature driven molecular flows for lipid membranes After graduation: Teaching Associate Professor, Colorado School of Mines Douglas Ortego – MS Advisor: Renzo Cavalieri Thesis title: An explicit verification of the Open Crepant Resolution Conjecture After graduation: PhD, Colorado State University Farrah Sadre-Marandi - PhD Advisor: James Liu, Simon Tavener Thesis title: Mathematical Modeling for HIV-1 Viral Capsid Structure and Assembly After graduation: Postdoc, Mathematical Biosciences Institute (MBI) The Ohio State University Joan Toth – MS Advisor: Patrick Ingram Thesis title: Explicit Bounds for the Height of Periodic Points of Certain Families of H\'{e}non Maps After graduation: Unknown
Spring 2015 Melissa Adkins – PhD Advisor: Yongcheng Zhou Thesis title: Modeling Local Pattern Formation on Membrane Surfaces using Non-local Interactions After graduation: System Engineer Level 2, Northrop Grumman
In Fall 2015 and Spring 2016, the first two undergraduate poster sessions were held. Students enrolled in 400 level mathematics courses were invited to submit posters for the sessions; some instructors required submission of a poster as part of the student’s portfolio for the course, and for other classes, submission of a poster was optional. Participation in the poster sessions offered a capstone experience in these senior level courses and provided practice in presentation skills and professional poster creation in mathematics. Prizes were also awarded: $300 for first place, with $200 and $100 for the second and third place awards respectively.
In Fall 2015, there were 13 participants in the poster session, from our MATH 419, MATH 455, MATH 425 and MATH 466 classes. First Place: Christie Burris (MATH 455) Construction and Optimality of Unoriented de Bruijn Sequences Second Place: Tucker Manton (MATH 466) The Octonions Third Place: Koedi Lawley (MATH 455) Analysis of the reaction-diffusion model for cellular differentiation Special Prize for Mathematics and Arts – Kelsey Gupton (MATH 425) Einstein Spring 2016 saw an increase in the number of participants in the poster session, with 37 submitted posters, authored by a total of 36 students from our MATH 460, MATH 435, MATH 405 and MATH 470 classes. The Spring poster session was held in the Grey Rock Room at Lory Student Center, and the increased numbers lent a lot of excitement to the event.
First Place: Ian May (MATH 455) Determining Minimal Polynomials for the Bifurcation Values of the Logistic Map Second Place: Benton Gremillion (MATH 435) Examining the fractal dimension of patterns as a curve Third Place: Erin Doan (MATH 460) Hamming Bound Increases reliability of DNA computation for Hamiltonian Path problem
Honorable Mention: John Obuch (MATH 435) Simulating Avrami model crystallization dynamics in 1-D Honorable Mention: Ethan Coldren (MATH 455) Biases in the distribution of consecutive primes
Thanks to all student participants, and their instructors Chris Peterson (MATH 419), Paul Kennedy (MATH 425), Patrick Shipman (MATH 455), James Wilson (MATH 466), Jeff Achter (MATH 405), Henry Adams (MATH 435), Jess Ellis (MATH 470), and Anton Betten (MATH 460) for their contributions to this fun and informative event.
Award Dollars Received January 2015 - December 2015 Investigators Sponsor Title Amount
Jeffrey D Achter (Primary PI)-1874 DOD-NSA-National Security Agency
Arithmetic Structures From Exceptional Period Maps $29,325.00
David Gregory Aristoff (Primary PI)-1874 Simons Foundation Complex Systems and Algorithms $7,000.00 David Gregory Aristoff (Primary PI)-1874
NSF - National Science Foundation Algorithms for Complex Systems $179,802.00
Margaret Cheney (Primary PI)-1874 DOD-USAF-Air Force Radar Remote Sensing $139,881.00 Margaret Cheney (Primary PI)-1874 Matrix Research, Inc.
Curves and Abelian Varieties: Supersingularity and Beyond $30,261.00
Rachel J Pries (Primary PI)-1874 NSF - National Science Foundation Curves, covers, and cohomology $37,041.00
Clayton W Shonkwiler (Primary PI)-1874 Simons Foundation
Geometric Approaches to Closed Random Walks $7,000.00
Kaitlyn E Voccola (Primary PI)-1874 DOD-USAF-Air Force
Mathematical and Statistical Techniques for Synthetic-Aperture Radar $124,756.00
Department Award Dollars received January 2015 – December 2015
Yongcheng Zhou (Primary PI)-1874
HHS-NIH-Nat Inst of General Medical Sci
Collaborative Research: A Multiscale Model of Protein Mediated Changes in Membrane Morphology $376,036.00
Yongcheng Zhou (Primary PI)-1874 Simons Foundation
Multiscale Electrodiffusion in Bulk and on Manifolds $7,000.00
Bruce Draper (Primary PI)-1873; J Ross Beveridge (Co-PI)-1873; Jaime G Ruiz (Co-PI)-1873; Michael J Kirby (Collaborator)-1874; Christopher Peterson (Collaborator)-1874 DOD-ARMY
Communication through Gestures, Expression, and Shared Perception $135,761.00
Sanjay V Rajopadhye (Primary PI)-1873; Jennifer L Mueller (Co-PI)-1874
DOE-US Department of Energy
Scalable Compiler Technology for Exascale $9,901.00
Sanjay V Rajopadhye (Primary PI)-1873; Jennifer L Mueller (Co-PI)-1874
DOE-US Department of Energy
Scalable Compiler Technology for Exascale $290,000.00
Mahmood R Azimi-Sadjadi (Primary PI)-1373; Louis L Scharf (Co-PI)-1874
DOD-NAVY-ONR-Office of Naval Research
Invariance and Co-Variance ATR Using Multichannel Sonar $99,050.00
Anthony A Maciejewski (Primary PI)-1373; Thomas Wei Chen (Co-PI)-1373; Michael Anthony De Miranda (Co-PI)-1588; Zinta S Byrne (Co-PI)-1876; Gerhard H Dangelmayr (Sr. Personnel)-1874; Branislav M Notaros (Sr. Personnel)-1373; Thomas J Siller (Collaborator)-1372
NSF - National Science Foundation
Revolutionizing Roles to Reimagine Integrated Systems of Engineering Formation $50,000.00
Anthony A Maciejewski (Primary PI)-1373; Thomas Wei Chen (Co-PI)-1373; Michael Anthony De Miranda (Co-PI)-1588; Zinta S Byrne (Co-PI)-1876; Gerhard H Dangelmayr (Sr. Personnel)-1874; Branislav M Notaros (Senior Personnel)-1373; Thomas J Siller (Collaborator)-1372
NSF - National Science Foundation
Revolutionizing Roles to Reimagine Integrated Systems of Engineering Formation $1,938,663.00
Richard M Bradley (Primary PI)-1875; Patrick D Shipman (Co-PI)-1874
NSF - National Science Foundation
Self-Assembled Nanoscale Patterns Produced by Ion Bombardment of Solid Surfaces $80,000.00
Total Administered in Math: Total Administered outside of Math:
$1,280,229.00 $2,603,375.00
Total:
$3,883,604.00
ACHTER, Jeff Illinois Number Theory Conference, Urbana, IL (May 2015) Explicit Methods for Abelian Varieties Kickoff Workshop, University of Calgary (May 2015) AMS session on Arithmetic Geometry, Las Vegas, NV (April 2015) Number theory seminar, University of Colorado at Boulder (February 2015) ADAMS, Henry Adams, H., Tausz, A., and Vejdemo-Johansson, M. Introduction to Javaplex software for persistent homology. Young Topologists’ Meeting, EPFL, Lausanne, Switzerland (2015) Adams, H., Tausz, A., and Vejdemo-Johansson, M. Introduction to Javaplex software for persistent homology. Applied Algebraic Topology Research Network, Student Online Seminar Series (2015) Adamaszk, M. and Adams, H. The bietoris-Rips complexes of a circle. Uni of Rochester Data Science Colloquium (2015) ARISTOFF, David Phase transitions in models of quasicrystals, ICERM Semester Program on Phase Transitions and Emergent Properties, (Feb. 2015) SIAM sponsored workshop on dimension reduction, Penn State University (March 2015) Mathematical framework for exact milestoning, BIRS conference on free-energy calculations: a mathematical perspective (July 2015) Positive Temperature Models of Quasicrystals, SIAM central states section at Missouri Uni of Science and Technology (April 2015) The parallel replica method for simulating Markov chains, ICES seminar (April 2015) BATES, Daniel SIAM AG 15, Daejeon, Korea (August 2015) Workshop on Hybrid Methodologies for Symbolic-Numeric Computation, Beijing, China (August 2015) BETTEN, Anton 1st Colombian Conference on Coding Theory, Presentation on Classification of Codes & Combinatorial Structures (2015) SIAM conference on Applied Algebraic Geometry, presentation on The Grassman Graph, Daejeon Korea (Aug 2015) Seminar talk at the University of Northern Colorado on Graphs with Integral Spectrum (April 2015) Rocky Mountain Algebraic Combinatorics seminar, CSU on Graphs with Integral Spectrum (February 2015) Talk at Math club, at CSU on Classification of Codes and Combinatorial Structures (November 2015) CAVALIERI, Renzo Tropicalizing a Hurwitz Theorist, Algebraic Geometry Seminar, University of George (SP15). Tropicalizing a Hurwitz Theorist, Algebraic Geometry Seminar, University of Utah (SP15). Tropicalizing a Hurwitz Theorist, Algebraic Geometry Seminar, ANT, University of Colorado (SP15). Tropicalizing a Hurwitz Theorist, Algebraic Geometry Seminar, UFF, Niteroi (SP15). Tropicalizing a Hurwitz Theorist, Algebraic Geometry Seminar, Warwick University, UK (FA15) Tropicalizing a Hurwitz Theorist, Algebraic Geometry Seminar, KTH, Stockholm, Sweden (FA15) Crepant transformations and Open Invariants, Geometry & Topology Seminar, Imperial College, London, UK (FA15) Crepant transformations and Open Invariants, Algebraic Geometry Seminar, Oxford University, UK (FA15) Tropicalizing a Hurwitz Theorist, Colloquium, University of Liverpool, UK (FA15) Tropical geometry, a graphical interface for the GW theory of curves, GLEN conference, Uni of Manchester, UK (FA15) Crepant transformations and Open Invariants, Algebraic Geometry Seminar, University of Edinburgh, UK (FA15) Crepant transformations and Open Invariants, Algebraic Geometry Seminar, ETH, Zurich, Switzerland (FA15) Tropical geometry, a graphical interface for the GW theory of curves, Tropical Geometry Seminar, Geneva, Switzerland (FA15) CHENEY, Margaret Invited talk, Joint Math Meeting in San Antonio Texas on Resolution Optimization with Irregularly Sampled Fourier Data (January 2015) Invited talk, conference in honor of Bill Symes, Michigan State University, Multi-static radar imaging of moving targets (April 2015) Multi-static radar imaging of moving targets and Open problems in radar imaging, ICERM workshop, Computational and Analytical Aspects if Image Reconstruction (July 2015) Multi-static radar imaging of moving targets, Chalmers Institute of Technology (March 2015) ELLIS, Jessica The Role of Calculus in the STEM “Gender Filter”. Invited colloquium for the Department of Mathematics, Montana State University, Bozeman (December 2015).
2015 Papers Presented / Invited Talks at Professional Meetings and Workshops
Teaching Undergraduate Mathematics with the Common Core in Mind. Discussion leader for the teacher presentation at Colorado State University, May Day, Fort Collins, CO (November 2015) The features of successful college calculus programs: An overview of the CSPCC project’s main findings. Invite colloquium speaker for the Department of Mathematics, Metropolitan State University, Denver (October 2015) The features of successful college calculus programs: An overview of the CSPCC project’s main findings. Invite colloquium speaker for the Department of Mathematics, Oregon State University, Corvalis, OR (May 2015) Supporting Graduate Students as Innovative Instructors. Invited colloquium for the STEM Center, Oregon State University, Corvalis, OR (May 2015) The features of successful college calculus programs: An overview of the CSPCC project’s main findings. Invite colloquium speaker for the Depart of Mathematics, California Polytechnic University, San Luis Obispo, CA (May 2015) Characteristics of Successful Calculus Programs and PIC Math. Poster presentation to the Coalition for National Science Foundation (CNSF) Washington, DC. (April 2015) The features of successful college calculus programs: An overview of the CSPCC project’s main findings. Invite colloquium speaker for the Department of Mathematics, The Ohio State University, Columbus, OH (April 2015) The features of successful college calculus programs: An overview of the CSPCC project’s main findings. Invite colloquium speaker for the Department of Mathematics, University of Wyoming, Laramie, WY (April 2015) Features of Successful Calculus Programs at Five Doctoral Degree Granting Institutions. Invited presentation for the Front Range Math Education Seminar (FRaMES), Denver, CO (February 2015) INGRAM, Patrick Seminar talk and colloquium at Oregon State University (February 2015) Talk in a special session at AMS Wester Section meeting in Las Vegas, NV (April 2015) Talk in Canadian Math. Soc. Summer meeting (June 2015) Talk at AMMCS-CAIMS conference in Waterloo (June 2015) Talk at Silverman birthday conference in Providence (August 2015) Seminar talk at University of Michigan (November 2015) Talk at Canadian math. Soc. Winter meeting (December 2015) HULPKE, Alexander Invited lecture series on Computational Group Theory at U. Costa Rica (April 2015) Computing with Arithmetic Groups Workshop Experimental Methods on Computational Algebra, Hannover Germany (May 2015) Invited talk Constructing All Composition Series of a Finite Group, ISSAC (July 2015) Invited talk at the AMS Sectional meeting in Fullerton, CA. Gave a talk in section on representation theory (2015) Invited talk Finite Simple Groups: Thirty years of the Atlas and Beyond, Princeton (November 2015) Colloquium and seminar talk, U. Southern Alabama (October 2015) KIRBY, Michael Pathway Monitoring as a Methodology for the Early Diagnosis of Infection, 2015 Chemical and Biological Defense Science and Technology Conference, St. Louis (May 2015) (poster presentation) Detecting Threats in Data: from Euclidean Space to Grassmannians, NSF/DTRA ATD Workshop, Washington DC (July 2015) Anomaly Detection in Host Signaling Pathways for the Early Prognosis of Acute Infection, Lipari School on Bio-Informatics and Computational Biology (July 2015) An Application of Persistent Homology on Grassman Manifolds for the Detection of Signals In Hyperspectral Imagery, International Geoscience and Remote Sensing Symposium 2015 (IGARSS 2015), July 26, Milan (poster presentation) Identify maps and their extensions on parameter spaces: Applications to anomaly detection in video, Science and Information Conference, (July 2015) Early Detection of Ebola Infection using Machine Learning for Pathway Analysis, Katze Lab Research Seminar, Department of Microbiology, University of Washington (October 2015) LIU, Jiangguo (James) Application of the Weak Galerkin in Finite Element Method to two-phase Flow Problems, special session on Modeling and Numerical Studies for Coupled System of PDEs Arising From Interdisciplinary Problems, AMS Western Sectional Meeting , University of Nevada at Las Vegas (April 2015) A Comparative Study of Finite Element Methods for Darcy Flow Compuation, Special Session on Mathematical and Numerical Aspects of Modeling Flow Through Porous Media, AMS Western Sectional Meeting, University of Nevada at Las Vegas (April 2015) Development of C++ Libraries for the Weak Galerkin Finite Element Methods, Minisymposium on Weak Galerkin Method and Applications, ICIAM15, Beijing, China (August 2015) Mathematical Modeling for the Structure and Assembly of HIV-1 Viral Capsid, Analysis and Dynamics, Department of Mathematics, University of Denver (2015) C++ Polymorphism for Weak Galerkin Finite Element Methods on Polytopal Meshes, NSF workshop Polytopal Element Methods in Mathematics and Engineering, Georgia Tech University (October 2015) A Kinetic Model for HIV-1 Viral Capsid Nucleation, Joint Math Meetings: San Antonio, TX (January 2015) A Matlab Toolbox for Darcy Flow Computations, Joint Math Meetings: San Antonia, TX (January 2015)
Comparison of the Weak Galerkin and Mixed Finite Element Methods, SIAM conference on Computational Science and Engineering, Salt Lake City, UT (March 15) A Matlab Toolbox for Darcy Flow Computations, ICIAM 2015, Beijing, China (August 2015) MUELLER, Jennifer Direct Reconstruction algorithms for Real-Time Patient Imaging with Electrical Impedance Tomography, Computational and Analytical Aspects of Image Reconstruction (July 16, 2015) Electrical Impedance Tomography for Functional Pulmonary Imaging, Institute for Engineering in Medicine Seminar Series, University of Minnesota (October 2, 2015) The ACE1 thoracic electrical impedance tomography system for ventilation and perfusion, 37th annual International Conference of the IEEE Engineering in Medicine and Biology Society (July 27, 2015) Electrical imaging of patients with cystic fibrosis (poster), NIH-IEEE 2015 Strategic Conference on Healthcare Innovation and Point-of-care Technologies for Precision Medicine. (July 27, 2015) OPREA, Iuliana SIAM Central Conference in Applied Math, La Rolla, (April 2015) American Geographic Union Hydrology Days (2015) 26th International Union of Geodesy and Geophysics, Prague (July 2015) 8th International Congress of Romanian Mathematicians (July 2015) Advanced Research Workshop on New and Modern Research Infrastructure for Wind Engineering, organized by the European Union at the Civil Constructions University, Bacau, Romania (June 2015) PENTTILA, Tim Rocky Mountain Algebraic Combinatorics Seminar, An new proof of the Artin-Zorn theorem (Sept 11, 2015) Rocky Mountain Algebraic Combinatorics Seminar, New families of strongly regular graphs (Nov 13, 2015) Colorado State Uni, History of Mathematics, An inquiry into the origins of the House of Wisdom (Nov 3, 2015) Colorado State Uni, History of mathematics, Projective geometry in the first half of the 19th Century (Nov 17, 2015) 38th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, Strongly regular graphs form large arcs in affine planes, joint work with Stanley Payne and Liz-Lane Harvard. PETERSON, Chris SLAM 2015, speaker, Oklahoma State University (February 2015) University of Chicago, seminar talk (May 2015) 10 Lecture minicourse, Asuncion, Paraguay (July 2015) Allerton Conference, speaker, (September 2015) Notre Dame University, research visit (November 2015) PILGRIM, MARY Seminar in Department of Mathematics, Increasing Student Engagement in Learning Calculus Through Oral Assessments, Discourse, and Writing, Wichita State University, Wichita, KS Mathematics Education Seminar, Increasing Student Engagement in Learning Calculus Through Oral Assessments, Discourse, and Writing, Texas State University, San Marcos, TX PINAUD, Olivier 1-week invitation and seminar at the Research Center for Pure and Applied Mathematics at Tohoku University in Sendai, Japan (2015) Seminar in the Department of Mathematics at the Meiji University in Tokyo Japan (2015) IMACS, conference on Non-linear evolution equations, Member of the scientific program committee, Athens, GA (2015) Seminar speaker in the Department of Mathematics at Stanford University, Palo Alto, CA (2015) Seminar speaker, Dept. of Mathematics, University of Wyoming, Laramie (2015) AMS Joint meeting, San Antonio, TX (2015) PRIES, Rachel Number theory seminar, University of Colorado, Boulder (February 2015) Kick-off workshop, Explicit methods for abelian varieties (2 talks), University of Calgary (May 2015) Arithmetic 2015: Silvermania Conference, Brown University (August 2015) Moduli Spaces and Arithmetic Geometry, Lorentz Center, Leiden, the Netherlands (November 2015) Arithmetic geometry, AMS sectional meeting, University of Nevada (April 2015) SHIPMAN, Patrick Minisymposium on Free-Boundary Problems, SIAM Conference on Partial Differential Equations, Phoenix (2015) Math Seminar, University of Texas, Arlington (2015) Math Seminar, University of Denver (2015) Math Circle Louisiana State University, Mathematics and Linguistics.
Applied Math Seminar, University of Wyoming, Nanoscale Pattern Formation by Ion Bombardment of Binary Compounds. SHONKWILER, Clayton SIAM Conference on Algebraic Geometry, invited minisymposium speaker, Daejeon, South Korea (August 2015) Joint Center for Computational Math and Discrete Math Seminar, University of Colorado, Denver (2015) Geometry Seminar, University of Georgia (2015) Invited Math Club talk, University of Georgia (2015) TAVENER, Simon A posteriori error analysis 2.0, University of Denver (2015) Error analysis and efficient discretization for two-stage integration method, Sandia National Laboratory (2015) A posteriori error analysis 2.0, Nottingham University (2015) Forward sensitivity analysis, parameter estimation and inverse sensitivity analysis, Manchester University (2015) Adjoint-Based a Posteriori Error Estimation for Complex Systems, 13th US National Congress on Computational Mechanics (2015) WILSON, James B. Something new inside 81% of all small groups, Colloquium Kent State (April 2015) Nilpotence, Simplicity, and Exoctic Geometry, Discrete Math Seminar, U. British Columbia, (March 2015) Group isomorphism by nonassociative methods, Oliver Club Colloquium, Cornell (February 2015) Group isomorphism is tied up in knots, Dagstuhl Workshop: The Graph Isomorphism Problem (Dec. 2015) Wildness in groups: three problems, Wildness Workshop, Santa Fe Inst. (October 2015) Groups acting on tensor products, Wildness Workshop, Santa Fe Inst. (October 2015) ZHOU, Yongcheng MBI Workshop: Modeling and computation of Transmembrane Transport, The Ohio State University (Nov. 2015) IMA Special Workshop: Mathematics and Mechanics in the 22nd Century: Seven Decades and Counting. . . Eugene, Oregon (Oct. 2015) IMA Hot Topics Workshop Mathematics of Biological Charge Transport: Molecules and Beyond, University of Minnesota (July 20, 2015) IMA New Directions Short Course: Introduction to Uncertainty Quantification, University of Minnesota (June 15, 2015)
ACHTER, Jeff Achter, Jeffrey D.; Pries, Rachel Superspecial rank of supersingular abelian varieties and Jacobians. J. Théor. Nombres Bordeaux 27 (2015), no. 3, 605–624. 14Kxx (11G10 11G20 14H40)
Achter, Jeffrey; Williams, Cassandra Local heuristics and an exact formula for abelian surfaces over finite fields. Canad. Math. Bull. 58 (2015), no. 4, 673–691. 14K15 (14G15)
Achter, Jeffrey D.; Erman, Daniel; Kedlaya, Kiran S.; Wood, Melanie Matchett; Zureick-Brown, David A heuristic for the distribution of point counts for random curves over finite field. Philos. Trans. A 373 (2015), no. 2040, 20140310, 12 pp. (Reviewer: Claus Diem) 11G20 (14G15 60C05)
Achter, Jeffrey D.; Cunningham, Clifton A note on L-packets and abelian varieties over local fields. Pacific J. Math. 273 (2015), no. 2, 395–412. (Reviewer: Laura Paladino) 11G10 (11F70 11S37 14K15)
ADAMS, Henry Adams, Henry; Atanasov, Atanas; Carlsson, Gunnar Nudged elastic band in topological data analysis. Topol. Methods Nonlinear Anal. 45 (2015), no. 1, 247–272. (Reviewer: Daniel A. Griffith) 62-07 (57Q05 62G07)
Adams, Henry; Carlsson, Gunnar Evasion paths in mobile sensor networks. International Journal of Robotics Research 34:90-104, 2015.
ARISTOFF, David Aristoff, David; Lelièvre, Tony; Mayne, Christopher G.; Teo, Ivan Adaptive multilevel splitting in molecular dynamics simulations. CEMRACS 2013—modelling and simulation of complex systems: stochastic and deterministic approaches, 215–225, ESAIM Proc. Surveys, 48, EDP Sci., Les Ulis, 2015. 60J22 (60J70 65C05 65C50)
Aristoff, David The parallel replica method for computing equilibrium averages of Markov chains. Monte Carlo Methods Appl. 21 (2015), no. 4, 255–273. 65C05 (60J22 65C20 65C40 65Y05)
BATES, Daniel Bates, Daniel J.; Davis, Brent R.; Kirby, Michael; Marks, Justin; Peterson, Chris The max-length-vector line of best fit to a set of vector subspaces and an optimization problem over a set of hyperellipsoids. Numer. Linear Algebra Appl. 22 (2015), no. 3, 453–464. (Reviewer: Masoud Hajarian) 65F15 (14Q99 90C90)
CAVALIERI, Renzo Cavaileri, Renzo with Markwig, Hannah and Ranganathan, Dhruv; Tropicalizing the Space of Admissible Covers. arXiv:1401.4626. CHENEY, Margaret J. Kim, M. Cheney and E. Mokole, Optimal time-reversed wideband signals for distributed sensing. Preprint of paper submitted to IEEE Antennas and Propagation, online at http://arxiv.org.abs/1510.0377 DANGELMAYR, Gerhard C. Strickland, G. Dangelmayr, P.D. Shipman, S. Kumar, T.J. Stohlgren. Network spread of invasive species and infectious diseases, Ecological Modelling, 2015.
HULPKE, Alexander Hulpke, Alexander Constructing all composition series of a finite group. ISSAC'15—Proceedings of the 2015 ACM International Symposium on Symbolic and Algebraic Computation, 229–234, ACM, New York, 2015. (Reviewer: Bernd Baumann) 20D30 (68W30) Hulpke, Alexander; Pambuccian, Victor, Aristotle's problem. Beitr. Algebra Geom. 56 (2015), no. 2, 473–477. 51M09 (12F10) Detinko, A. S.; Flannery, D. L.; Hulpke, A. Algorithms for arithmetic groups with the congruence subgroup property. J. Algebra 421 (2015), 234–259. (Reviewer: Steffen Kionke) 20H05 (20B40) ELLIS, Jessica Rasmussen, C., & Ellis, J. (2015). Calculus coordination at PhD-granting universities: More than just using the same syllabus, textbook, and final exam. In D. Bressoud, V. Mesa, and C. Rasmussen (Eds.), Insights and recommendations from the MAA national study of college calculus. MAA Notes (pp 109-117). Washington, DC: Mathematical Association of America. Ellis, J., Hanson, K., Nunez, G., & Rasmussen, R., (2015). Beyond Plug and Chug: an Analysis of Calculus I Homework. International Journal of Research in Undergraduate Mathematics Education. DOI 10.1007/s40753-015-0012-z.
Johnson, E., Ellis, J., & Rasmussen, C. (2015). It’s about Time: The Relationships between Coverage and Instructional Practices in College Calculus. International Journal of Mathematical Education in Science and Technology, 1-14.
Ellis, J. (2015) Professional Development of Graduate Students Involved in the Teaching of Calculus I. Manuscript under review. In D. Bressoud, V. Mesa, and C. Rasmussen (Eds.), Insights and recommendations from the MAA national study of college calculus. MAA Notes (pp 121-128). Washington, DC: Mathematical Association of America.
INGRAM, Patrick Ingram, Patrick Variation of the canonical height for polynomials in several variables. Int. Math. Res. Not. IMRN 2015, no. 24, 13545–13562. 14G25 (14C20 14Hxx)
Ingram, Patrick Arithmetic methods in complex dynamics. CMS Notes 47 (2015), no. 1, 14–15. 30D05 (37F10 37F50)
KIRBY, Michael Sofya Chepushtanova, Michael Kirby, Chris Peterson and Lori Ziegelmeier (2015). An Application of Persistent Homology on Grassmann Manifolds for the Detection of Signals in Hyperspectral Imagery, in proceedings of the IEEEE International Geoscience and Remote Sensing Symposium (IGARSS), Milan, Italy. K. Wang, J. Thompson, C. Peterson, and M. Kirby, (2015). Identity maps and their extensions on parameter spaces: Applications to anomaly detection in video, Proceedings Science and Information Conference, pp. 345-351, London, July 28-30, 2015.
M. Mai, K. Wang, G. Huber, M. Kirby, MD Shattuck, CS OHern (2015) Outcome Prediction in Mathematical Models of Immune Response to Infection. PLoS ONE(8): e135861. Julia. R. Dupuis, Michael Kirby, and Bogdan R. Cosofret (2015) Longwave infrared compressive hyperspectral imager, Proc. SPIE 9482, Next-Generation Spectrospcopic Technologies VIII, 94820Z (June 2, 2015); doi:10.01117/12.2177893. (Emerson, Tegan and Kirby, Michael) and (Bethel, Kelly and Kolatkar, Anand) and (Luttgen, Madelyn and OHara, Stephen) and (Newton, Paul and Kuhn, Peter), (2015) Fourier-Ring Descriptor to Characterize Rare Circulating Cells from Images Generated Using Immunofluorescence Microscopy, Computerized Medical Imaging and Graphics, Vol. 40, pp 70-87. T. Marrinan, R. Beveridge, B. Draper, M. Kirby, and C. Peterson (2015) Flag Manifolds for the Characterization of Geometric Structure in Large Data Sets, A. Abdulle et cal. (eds.), Numerical Mathematics and Advanced Applications ENUMATH 2013, Lecture Notes in Computational Science and Engineering 103, Springer International Publishing. Pp 457-464. Kirby, Michael An embedding algorithm using Whitney's theorem. Math. Today (Southend-on-Sea) 51 (2015), no. 3, 142–145. 62-07 (62-02 62H11 65F15)
Jamshidi, Arta A.; Kirby, Michael J. A radial basis function algorithm with automatic model order determination. SIAM J. Sci. Comput. 37 (2015), no. 3, A1319–A1341. (Reviewer: Roberto Cavoretto) 65D10 (62M10 65D15 94A12)
Bates, Daniel J.; Davis, Brent R.; Kirby, Michael; Marks, Justin; Peterson, Chris The max-length-vector line of best fit to a set of vector subspaces and an optimization problem over a set of hyperellipsoids. Numer. Linear Algebra Appl. 22 (2015), no. 3, 453–464. (Reviewer: Masoud Hajarian) 65F15 (14Q99 90C90)
LIU, Jiangguo (James) Sadre-Marandi, Farrah; Liu, Yuewu; Liu, Jiangguo; Tavener, Simon; Zou, Xiufen Modeling HIV-1 viral capsid nucleation by dynamical systems. Math. Biosci. 270 (2015), part A, 95–105. 92D20
Yang, Min; Liu, Jiangguo; Lin, Yanping Pressure recovery for weakly over-penalized discontinuous Galerkin methods for the Stokes problem. J. Sci. Comput. 63 (2015), no. 3, 699–715. 65N30 (76D07)
Wang, Yuanbin; Tan, Jinying; Sadre-Marandi, Farrah; Liu, Jiangguo; Zou, Xiufen, Mathematical modeling for intracellular transport and binding of HIV-1 gag proteins. Math. Biosci. 262 (2015), 198–205. 92D20
Lin, Guang; Liu, Jiangguo; Sadre-Marandi, Farrah A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods. J. Comput. Appl. Math. 273 (2015), 346–362. 65N30
Liu, Jiangguo, Sadre-Marandi, Farrah; Tavener, Simon; Chen, Chaoping, Curvature concentrations on the HIIV-1 capsid, Molecule Based Mathematical Biology, 3(2015), pp, 43-53.
MUELLER, Jennifer L. Croke, Ryan; Mueller, Jennifer L.; Stahel, Andreas Transverse instability of plane wave soliton solutions of the Novikov-Veselov equation. Nonlinear wave equations: analytic and computational techniques, 71–89, Contemp. Math., 635, Amer. Math. Soc., Providence, RI, 2015. 37K40 (35C07 35C08 35Q53)
Croke, R.; Mueller, J. L.; Music, M.; Perry, P.; Siltanen, S.; Stahel, A. The Novikov-Veselov equation: theory and computation. Nonlinear wave equations: analytic and computational techniques, 25–70, Contemp. Math., 635, Amer. Math. Soc., Providence, RI, 2015. 37K15 (35P25 35Q53 35R30 47J35 65M32)
Herrera, CN, Vallejo, MF, Mueller, JL., Lima, RG., Direct 2-D reconstructions of conductivity and permittivity from EIT data on a human chest. IEEE transactions on medical imaging (2015); 34(1):267-74.
M. Mellenthin, J. Mueller, E.D.L.B. Camargo, F.S. de Moura, S. J. Hamilton, R. Gonzalez Lima, 2015, {\it The ACE1 Thoracic Electrical Impedance Tomography System for Ventilation and Perfusion.} In: Proceedings of the 37th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp. 4073-4076.
J.L. Mueller, M.M. Mellenthin, P. Muller, R. R. Deterdin, and S.D. Sagel, 2015, {\em Electrical Imaging of Patients with Cystic Fibrosis}. In: Proceedings of the NIH-IEEE 2015 Strategic Conference on Healthcare Innovation and Point-of-Care Technologies for Precision Medicine, in press.
OPREA, Iuliana I. Oprea, S. Fassnacht, G. Borleske, D. Kamin, Geometric Methods in the study of the Snow Surface Roughness. Proceedings American Geophysical Union, Hydrology Days 2015, pp 27-36. PENTTILA, Tim Bamberg, John; Penttila, Tim Completing Segre's proof of Wedderburn's little theorem. Bull. Lond. Math. Soc. 47 (2015), no. 3, 483–492. (Reviewer: Ivan D. Chipchakov) 12E15 (05B25 16K20 16P10 51A30)
Cossidente, Antonio; Penttila, Tim A new hemisystem on H(3,49). Ars Combin. 119 (2015), 257–262. 05Bxx
Lane-Harvard, Liz; Penttila, Tim Some strongly regular graphs with the parameters of Paley graphs. Australas. J. Combin. 61 (2015), 138–141. 05E30
PETERSON, Chris Bates, Daniel J.; Davis, Brent R.; Kirby, Michael; Marks, Justin; Peterson, Chris The max-length-vector line of best fit to a set of vector subspaces and an optimization problem over a set of hyperellipsoids. Numer. Linear Algebra Appl. 22 (2015), no. 3, 453–464. (Reviewer: Masoud Hajarian) 65F15 (14Q99 90C90)
Sofya Chepushtanova, Michael Kirby, Chris Peterson and Lori Ziegelmeier (2015). An Application of Persistent Homology on Grassmann Manifolds for the Detection of Signals in Hyperspectral Imagery, in proceedings of the IEEEE International Geoscience and Remote Sensing Symposium (IGARSS), Milan, Italy. K. Wang, J. Thompson, C. Peterson, and M. Kirby, (2015). Identity maps and their extensions on parameter spaces: Applications to anomaly detection in video, Proceedings Science and Information Conference, pp. 345-351, London, July 28-30, 2015. PINAUD, Olivier Pinaud, Olivier(1-COS) Absorbing layers for the Dirac equation. (English summary) J. Comput. Phys. 289 (2015), 169–180. 65M99 (81Q05 82C10)
PRIES, Rachel Pries, Rachel; Weir, Colin The Ekedahl-Oort type of Jacobians of Hermitian curves. Asian J. Math. 19 (2015), no. 5, 845–869. 11G20 (14H40)
Achter, Jeffrey D.; Pries, Rachel Superspecial rank of supersingular abelian varieties and Jacobians. J. Théor. Nombres Bordeaux 27 (2015), no. 3, 605–624. 14Kxx (11G10 11G20 14H40)
SHIPMAN, Patrick Pennybacker, Matthew F.; Shipman, Patrick D.; Newell, Alan C. Phyllotaxis: some progress, but a story far from over. Phys. D 306 (2015), 48–81. 92C80
Motta, Francis C.; Shipman, Patrick D.; Springer, Bethany A point of tangency between combinatorics and differential geometry. Amer. Math. Monthly 122 (2015), no. 1, 52–55. (Reviewer: Timothy A. Schroeder) 05C20 (05C10 05C45)
C. Strickland, G. Dangelmayr, P.D. Shipman, S. Kumar, T.J. Stohlgren. Network spread of invasive species and infectious diseases, Ecological Modelling, 2015.
M. Pennyback, P.D. Shipman, A.C. Newell. Phyllotaxis: some progress, but a story for from over. Physica D, 2015.
D.A. Pearson, R.M. Bradley, F.C. Motto, P.D. Shipman. Producing nanodot arrays with improved hexagonal order by patterning surfaces before ion puttering. Physical Review E, 92, 062401,2015.
SHONKWILER, Clayton
Cantarella, Jason; Grosberg, Alexander Y.; Kusner, Robert; Shonkwiler, Clayton The expected total curvature of random polygons. Amer. J. Math. 137 (2015), no. 2, 411–438. (Reviewer: Anne Marie Svane) 60D05 (53A04)
Cohen, F. R.; Komendarczyk, R.; Shonkwiler, C. Homotopy Brunnian links and the κ-invariant. Proc. Amer. Math. Soc. 143 (2015), no. 3, 1347–1362. (Reviewer: Ryan D. Budney) 57M25 (55Q25 55R80 57M27)
TAVENER, Simon Collins, J. B.; Estep, D.; Tavener, S. A posteriori error analysis for finite element methods with projection operators as applied to explicit time integration techniques. BIT 55 (2015), no. 4, 1017–1042. 65L60 (65L70)
Liu, Jiangguo, Sadre-Marandi, Farrah; Tavener, Simon; Chen, Chaoping, Curvature concentrations on the HIIV-1 capsid, Molecule Based Mathematical Biology, 3(2015), pp, 43-53.
Sadre-Marandi, Farrah; Liu, Yuewu; Liu, Jiangguo; Tavener, Simon; Zou, Xiufen, Modeling HIV-1 viral capsid nucleation by dynamical systems. Math. Biosci. 270 (2015), part A, 95–105. 92D20
Collins, J. B.; Estep, Don; Tavener, Simon A posteriori error estimation for a cut cell finite volume method with uncertain interface location. Int. J. Uncertain. Quantif. 5 (2015), no. 5, 415–432. 65N08 (35J25 60H25 65C05 76S05)
Berger, Lorenz; Bordas, Rafel; Kay, David; Tavener, Simon Stabilized lowest-order finite element approximation for linear three-field poroelasticity. SIAM J. Sci. Comput. 37 (2015), no. 5, A2222–A2245. (Reviewer: Riccardo Sacco) 65N30 (65N15 74F10 76S05)
Chaudhry, J. H.; Estep, D.; Ginting, V.; Tavener, S. A posteriori analysis for iterative solvers for nonautonomous evolution problems. SIAM/ASA J. Uncertain. Quantif. 3 (2015), no. 1, 434–459. (Reviewer: Ilya V. Boykov) 65L05 (65L07 65L20 65L70)
Johansson, A.; Chaudhry, J. H.; Carey, V.; Estep, D.; Ginting, V.; Larson, M.; Tavener, S. Adaptive finite element solution of multiscale PDE-ODE systems. Comput. Methods Appl. Mech. Engrg. 287 (2015), 150–171. (Reviewer: István Faragó) 65M60 (65L60 65M15 65M50)
Chaudhry, Jehanzeb H.; Estep, Donald; Ginting, Victor; Shadid, John N.; Tavener, Simon A posteriori error analysis of IMEX multi-step time integration methods for advection-diffusion-reaction equations. Comput. Methods Appl. Mech. Engrg. 285 (2015), 730–751. (Reviewer: Eugene O'Riordan) 65M06 (35K20 35K57 65M15 65M60)
Arbogast, T.; Estep, D.; Sheehan, B.; Tavener, S. A posteriori error estimates for mixed finite element and finite volume methods for parabolic problems coupled through a boundary. SIAM/ASA J. Uncertain. Quantif. 3 (2015), no. 1, 169–198. (Reviewer: Srinivasan Natesan) 65M08 (65M15 65M22 65M60)
Sheehan, B.; Estep, D.; Tavener, S.; Cary, J.; Kruger, S.; Hakim, A.; Pletzer, A.; Carlsson, J.; Vadlamani, S. The interaction of iteration error and stability for linear partial differential equations coupled through an interface. Adv. Math. Phys. 2015, Art. ID 787198, 13 pp. 65M99
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