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ICTI: CMU-Portugal Program in Applied Mathematics
Research, PhD and Postdoc Training in Applied Analysis,Probability and Stochastic Analysis
http://icti.math.cmu.edu/index.html
Faculty
Because of their common scientific themes, the ICTI programfunctions within the CNA, Center for Nonlinear Analysis
http://www.math.cmu.edu/cna/index.html
Since 1991; now funded by the National Science Foundation
• Management:Irene Fonseca (PI), Director (Calculus of Variations, PDEs)David Kinderlehrer (PDEs)Giovanni Leoni (Calculus of Variations)Robert Pego (Co-PI), Associate Director (PDEs)Noel Walkington (Numerical Analysis of PDEs)
• Other Permanent Faculty Include: Dejan Slepcev (PDEs),Kavita Ramanan (Probability), Shlomo Ta’asan (ScientificComputing)
Faculty
Because of their common scientific themes, the ICTI programfunctions within the CNA, Center for Nonlinear Analysis
http://www.math.cmu.edu/cna/index.html
Since 1991; now funded by the National Science Foundation
• Management:Irene Fonseca (PI), Director (Calculus of Variations, PDEs)David Kinderlehrer (PDEs)Giovanni Leoni (Calculus of Variations)Robert Pego (Co-PI), Associate Director (PDEs)Noel Walkington (Numerical Analysis of PDEs)
• Other Permanent Faculty Include: Dejan Slepcev (PDEs),Kavita Ramanan (Probability), Shlomo Ta’asan (ScientificComputing)
Current Postdocs
• Filippo Cagnetti, 2008-2009 (ICTI)Ph.D. 2007, SISSA-TriesteMentors: Irene Fonseca and Giovanni Leoni
• Milena Chermisi, 2008-2009 (ICTI)Ph.D. 2007, U. Roma IMentors: Irene Fonseca and Giovanni Leoni
• Marco Barchiesi, 2007-2009Ph.D. 2007, SISSA - TriesteMentors: Irene Fonseca and Giovanni Leoni
• Elaine Cozzi, 2007-2010Ph.D. 2007, University of Texas at AustinMentor: Robert Pego
• Yekaterina Epshtein, 2007-2010Ph.D. 2007, University of PittsburghMentors: David Kinderlehrer and Shlomo Ta’asan
Current Postdocs
• Filippo Cagnetti, 2008-2009 (ICTI)Ph.D. 2007, SISSA-TriesteMentors: Irene Fonseca and Giovanni Leoni
• Milena Chermisi, 2008-2009 (ICTI)Ph.D. 2007, U. Roma IMentors: Irene Fonseca and Giovanni Leoni
• Marco Barchiesi, 2007-2009Ph.D. 2007, SISSA - TriesteMentors: Irene Fonseca and Giovanni Leoni
• Elaine Cozzi, 2007-2010Ph.D. 2007, University of Texas at AustinMentor: Robert Pego
• Yekaterina Epshtein, 2007-2010Ph.D. 2007, University of PittsburghMentors: David Kinderlehrer and Shlomo Ta’asan
More Current Postdocs
• Jason Howell, 2007-2010Ph.D. 2007, Clemson UniversityMentor: Robert Pego
• Stefan Kroemer, 2008-2010Ph.D. 2007, University of AugsburgMentor: Irene Fonseca
• Ana Margarida Ribeiro, 2007-2008Ph.D. 2006, EPFL - LausanneMentor: Irene Fonseca
• Richard Sharp, 2007-2009Ph.D. 2005, Princeton UniversityMentors: David KInderlehrer and Shlomo Ta’asan
Former Postdocs
Central to CNA: graduate education and postdoctoral training
Rustum Choksi (Simon Fraser), Antonio De Simone (SISSA),Georg Dolzmann (U. Maryland and U. of Regensburg), MariaEmelianenko (George Mason), Gero Friesecke (U. of Warwickand U. of Munich), Wilfrid Gangbo (Georgia Tech), RobertJerrard (U. of Toronto), Michal Kowalczyk (U. Chile), GiovanniLeoni (CMU), Chun Liu (Penn State), Vincent Millot (U.Cergy-Pontoise), Massimiliano Morini (SISSA), Stefan Muller
(Director, Max Planck Institute for Mathematics in the Sciences,Leipzig), Felix Otto (Director, Hausdorff Center for Mathematics,U. of Bonn), Konstantina Trivisa (U. of Maryland).
The CNA Footprint
leadership in the areas of Calculus of Variations and PDEs;
worldwide asset in the education of young investigatorscognizant of research opportunities at the broad interfacebetween mathematics and physical sciences and engineering;
well poised to identify cutting-edge mathematical questions inscience and engineering, including materials science andbiotechnology;
engaged in the development of international partnerships andcooperation agreements, which play a vital part in the CNAprogram and in the enhancement of the scientific training andresearch activities of the Center.
The CNA Footprint
leadership in the areas of Calculus of Variations and PDEs;
worldwide asset in the education of young investigatorscognizant of research opportunities at the broad interfacebetween mathematics and physical sciences and engineering;
well poised to identify cutting-edge mathematical questions inscience and engineering, including materials science andbiotechnology;
engaged in the development of international partnerships andcooperation agreements, which play a vital part in the CNAprogram and in the enhancement of the scientific training andresearch activities of the Center.
The CNA Footprint
leadership in the areas of Calculus of Variations and PDEs;
worldwide asset in the education of young investigatorscognizant of research opportunities at the broad interfacebetween mathematics and physical sciences and engineering;
well poised to identify cutting-edge mathematical questions inscience and engineering, including materials science andbiotechnology;
engaged in the development of international partnerships andcooperation agreements, which play a vital part in the CNAprogram and in the enhancement of the scientific training andresearch activities of the Center.
The CNA Footprint
leadership in the areas of Calculus of Variations and PDEs;
worldwide asset in the education of young investigatorscognizant of research opportunities at the broad interfacebetween mathematics and physical sciences and engineering;
well poised to identify cutting-edge mathematical questions inscience and engineering, including materials science andbiotechnology;
engaged in the development of international partnerships andcooperation agreements, which play a vital part in the CNAprogram and in the enhancement of the scientific training andresearch activities of the Center.
Research: Imaging
Inpainting (recolorization)
Frescoes of Andrea Mantegna, Ovetari Chapel of the
Eremitani’s Church, Padova (Italy); destroyed by
bombing in WWII
Z
Ωφ(∇u) dx+λ
Z
D|L(u)−v|
pdx+µ
Z
Ω\D|u−u|
pdx
Research: Foams
Surf(ace) Act(ive) A(ge)nt
Fε(u, ρ) :=
∫
Ω
(
1
εf (u) + ε|∇u|2 + ε (ρ − |∇u|)
2
)
dx+β(ε)
∫
Ω
|∇ρ|2 dx
Epitaxially Strained Crystalline Films
F (u,Ωh) :=
∫
Ωh
W (E (u) (x) − E0 (y)) dx +
∫
Γh
ϕ0 (y) dH1 (x) ,
Research: Interface with Materials Science
Interfacial energies in evolving networks; coarsening processes,texture distributions
m i s o r i e n t a t i o n a n g l e 0 . 8 0 . 6 0 . 4 0 . 2 0 . 0 0 . 2 0 . 4 0 . 6 0 . 8 1 . 0energy 1 . 0 0 01 . 0 0 11 . 0 0 21 . 0 0 31 . 0 0 41 . 0 0 51 . 0 0 6 p op ulation0 . 3 50 . 4 00 . 4 50 . 5 00 . 5 50 . 6 00 . 6 50 . 7 00 . 7 50 . 8 0S h a l l o w W e l l : s i m u l a t i o nshallow-well energy den-sity displaying a flattenedwell energy (red) and abimodal GBCD (blue)consistent with experi-mental picture (CMU MRSEC)
More:Grain boundaries
Orientation imaging mi-croscope of (Ni) nickelscale: grains are diame-ter = 200 microns(CMU MRSEC)
Research: Fokker-Planck, Mass Transport, cont.
Molecular motors and brownian rachets to model eukaryoticintracellular transport
simulation of an ensemble ofkinesin-1 molecular motors illus-trating conditions that favor trans-port. Shown exponential decay ispredicted by the theory
0 0.2 0.4 0.6 0.8 1.00
1
2
3
4
5
6
7
8
9
X
i=1,...,n
ρi (x + λ) ≦ C0e− C
σ
X
i=1,...,n
ρi (x), x ∈ Ω, x < 1 − λ, where λ = period
Research: Constrained Stochastic Processes
Skorokhod problem (SP) with SP for a stochastic networkoblique reflection field
Gd
d
d
1
2
3
n
n
n
1
3
2
d 0
Dirichlet process characterization of a large class of reflected diffusions Z :
Z = M + A
M martingale and A a “zero energy” process; enables calculation of functionalsof non-semimartingale reflected diffusions, using a generalized Ito’s formula
Research: Mesh Generation Algorithms
Liquid crystals, polymer and biological fluids
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Time = 0.0000
Research: Complex Materials
Three dimensional meshing algorithms are under development
Research: Mathematical Biology
Immune Response
Mathematical modeling of immune response to biodefensepathogens
A
pivotal player in the immune system - a dendritic cell
Main CNA Activities
advanced topics courses
working groups
workshops and conferences
visitors program
seminar series
scientific report series
summer schools
outreach: Summer Undergraduate Applied MathematicsInstitute (SUAMI)
interchange, mobility and internationalization
Advanced Topics Courses
Targeted to graduate students and postdoctoral fellows.Material research oriented, forefront research topics.
• Calculus of Variations in Sobolev Spaces - Fall 2007, Irene
Fonseca
• Geometric Measure Theory and Fine Properties of
Functions - Spring 2008, Nicola Fusco
• Convex Analysis - Spring 2008, Giovanni Leoni
• Optimal Transport, Gradient Flows, and Applications -Spring 2008, Dejan Slepcev
Advanced Topics Courses
Targeted to graduate students and postdoctoral fellows.Material research oriented, forefront research topics.
• Calculus of Variations in Sobolev Spaces - Fall 2007, Irene
Fonseca
• Geometric Measure Theory and Fine Properties of
Functions - Spring 2008, Nicola Fusco
• Convex Analysis - Spring 2008, Giovanni Leoni
• Optimal Transport, Gradient Flows, and Applications -Spring 2008, Dejan Slepcev
Working Groups
CNA mentors, invited researchers, postdocs and graduate students.Working Groups meet weekly . . . “brown bag” lunch setting
• Complex Fluids and Transport- Fall 2007Organizers: Robert Pego and Noel Walkington
• Grain Evolution- Fall 2007Organizers: David Kinderlehrer and Shlomo Ta’asan
• Recent Methods in the Calculus of Variations- Spring 2008Organizers: Irene Fonseca, Nicola Fusco and Giovanni Leoni
Working Groups
CNA mentors, invited researchers, postdocs and graduate students.Working Groups meet weekly . . . “brown bag” lunch setting
• Complex Fluids and Transport- Fall 2007Organizers: Robert Pego and Noel Walkington
• Grain Evolution- Fall 2007Organizers: David Kinderlehrer and Shlomo Ta’asan
• Recent Methods in the Calculus of Variations- Spring 2008Organizers: Irene Fonseca, Nicola Fusco and Giovanni Leoni
Workshops and Conferences
Young researchers are invited to present contributed talks that runon parallel sessions, and are encouraged to apply for financialsupport.
Frontiers of Applied Analysis
Douglas ArnoldHenri BerestyckiHaim BrezisEmmanuele DiBenedettoWeinan EIvar EkelandWilli JagerBarbara KeyfitzGregory LawlerFang-Hua LinPierre-Louis LionsAndrew MajdaHiroshi MatanoLouis NirenbergStanley Osher
Frontiers of Applied Analysis
The list of speakers includes:Douglas Arnold (University of Minnesota)Henri Berestycki (École des Hautes Études en Sciences Sociales)Haim Brezis (Rutgers University)Emmanuele DiBenedetto (Vanderbilt University)Weinan E (Princeton University)Ivar Ekeland (Pacific Institute for the Mathematical Sciences, Vancouver)Willi Jäger (University of Heidelberg)Barbara Keyfitz (Fields Institute)Gregory Lawler (Cornell University)Fang-Hua Lin (Courant Institute)Pierre-Louis Lions (Collège de France)Andrew Majda (Courant Institute)Hiroshi Matano (University of Tokyo)Louis Nirenberg (Courant Institute)Stanley Osher (University of California, Los Angeles)
Advanced undergraduate students, graduate students, and postdoctoral fellows are encouraged to apply for financial support. The deadline for applications is June 15, 2005.
Graduate students, postdocs and scientists with a recent Ph.D. degree are encouraged to contribute a presentation for this conference. The deadline for submission of contributed abstracts is June 30, 2005.
http://www.math.cmu.edu/cna
Organizers: Irene Fonseca, David Kinderlehrer, Roy Nicolaides, Robert Pego, Shlomo Ta’asan
This conference is sponsored by the National Science Foundation, the Office of Naval Research, the Office of Naval Research Global, and the Department of Mathematical Sciences at Carnegie Mellon University.
A Conference on the Occasion of the 15th Anniversary of the Center for Nonlinear Analysis
Carnegie Mellon University, Pittsburgh, PA
September 8–10, 2005
Carnegie Mellon Univ
ersit
y
A Brownian motion path on the plane,
by G
rego
ry F
. Law
ler.
Two-phased incompressible Navier-Stokes splash using O
sh
er-Se
thian
leve
l set
met
hod,
by
R. F
edkiw
e
t al.
A crystallite from a 3D grain growth simula
tion,
D. Kin
derle
hrer
, S. T
a’as
an e
t al
.
Andrew Carnegie, founder of C
arneg
ie M
ello
n U
nive
rstiy
Pittsburgh, PA
US-Chile Workshops: New Developments in Partial
Differential Equations I
Xinfu ChenGianni Dal MasoJuan DavilaManuel Del PinoJean DolbeaultPatricio FelmerIrene FonsecaMarta Garcia-HuidobroIgnacio GuerraDavid KinderlehrerMike KowalczykGiovanni LeoniRaul ManasevichJuan ManfrediSalome MartinezAlexander QuaasPhilippe SoupletCecilia Yarur
Workshop: New Trends in Calculus of Variations and Mass
Transport
Alberto BressanAlmut BurchardIrene FonsecaNicola FuscoPiotr HajlasTadeusz IwaniecRobert JerrardDavid KinderlehrerPekka KyskelaJan MalyRobert McCannMassimiliano MoriniJani OnninenAldo PratelliDejan Slepcev
Alberto Bressan, Penn State UniversityAlmut Burchard, University of Toronto, Toronto, Canada
Irene Fonseca, Carnegie Mellon UniversityNicola Fusco, University of Naples, Naples, Italy
Piotr Hajlasz,
Tadeusz Iwaniec, Syracuse UniversityRobert Jerrard, University of Toronto, Toronto, Canada
David Kinderlehrer, Carnegie Mellon University
Pekka Koskela, University of Jyväaskyläa, Jyväaskyläa, Finland
Jan Malý, Charles University, Prague, Czech RepublicRobert McCann, University of Toronto,
Toronto, CanadaMassimiliano Morini, SISSA,
Trieste, ItalyJani Onninen, Syracuse University
Aldo Pratelli, University of Pavia, Pavia, ItalyDejan Slepčev, Carnegie Mellon University
Center for Nonlinear AnalysisCarnegie Mellon University
Department of Mathematical Sciences
and the National Science Foundation.
Nicola Fusco and Giovanni Leoni
2001 Summer School: Multiscale Problems in Nonlinear
Analysis
Gianni Dal MasoIrene FonsecaRichard JamesDavid KinderlehrerShlomo Ta’asanLuc TartarLev TruskinovskyNoel WalkingtonDieter Wolf
2004 Summer School: Advances in Nonlinear Analysis
Luigi AmbrosioMaria-Carme CaldererWilfrid GangboNassif GhoussoubIrene FonsecaStefan Muller
2006 Summer School: Probabilistic and Analytical
Perspectives on Contemporary
Krzysztof BurdzyCarlos KenigRicardo NochettoPanagiotis SouganidisSrinivasa Varadhan
2006 CNA Summer SchoolProbabilistic and Analytical Perspectives on Contemporary PDEs
Center for Nonlinear Analysis
Carnegie Mellon University, Pittsburgh, PA
May 29 – June 6, 2006
Graduate students and postdocs are encouraged to contribute a presentation for this conference. The deadline for submission of contributed abstracts is March 1, 2006.
Advanced undergraduate students, graduate students, and postdoctoral fellows are encouraged to apply for financial support. The deadline for applications is March 15, 2006.
Center for Nonlinear Analysis
Carnegie Mellon UniversityDepartment of Mathematical SciencesPittsburgh, PA 15213Telephone: 412-268-2545Fax: 412-268-6380email: cn0s@math.cmu.edu http://www.math.cmu.edu/cna/Summer06
Topics will cover:
Essential uses of probability in analysis
Quantitative unique continuation for elliptic, parabolic
and dispersive equations, and applications
Adaptive finite element methods for elliptic PDEs
Fully nonlinear stochastic partial differential equations
and applications
Interacting particle systems and their scaling limits
List of lecturers:
Krzysztof Burdzy, University of WashingtonCarlos Kenig, University of Chicago
Ricardo Nochetto, University of MarylandPanagiotis Souganidis, University of Texas at Austin
Srinivasa Varadhan, New York University
Organizers:
Irene Fonseca, Giovanni Leoni,Robert Pego, Kavita Ramanan
This conference is sponsored by the National Science Foundation and the Department of Mathematical Sciences at Carnegie Mellon University.
2008 Summer School: Contemporary Topics in Nonlinear
PDEs
Ivar EkelandRobert KohnClaude Le BrisFelix OttoBenoit Perthame
and
Goran PeskirAlbert Shiryaev
2008 CNA Summer SchoolContemporary Topics in Nonlinear PDEs
Center for Nonlinear Analysis
Carnegie Mellon University, Pittsburgh, PA
May 29 – June 7, 2008
Graduate students and postdocs are encouraged to contribute a presentation for this conference. The deadline for submission of contributed abstracts is March 1, 2008.
Advanced undergraduate students, graduate students, and postdoctoral fellows are encouraged to apply for financial support. The deadline for applications is March 15, 2008.
Center for Nonlinear Analysis
Carnegie Mellon UniversityDepartment of Mathematical SciencesPittsburgh, PA 15213Telephone: 412-268-2545Fax: 412-268-6380email: cn0s@math.cmu.edu
Lecturers and Topics:
Ivar Ekeland, University of British Columbia Demand functions and the structure of economic theory
Robert Kohn, Courant Institute, New York University Energy-driven pattern formation
Claude Le Bris, École Nationale des Ponts et Chaussées From molecular theories to continuum elasticity: a possible track
Felix Otto, University of Bonn Some PDE problems from materials science
Benoit Perthame, Université Pierre et Marie Curie Growth processes and physiologically structured dynamics
The Summer School will be held concurrently with the “Heath Lectures on Probability and
Mathematical Finance” given byGoran Peskir, University of Manchester and
Albert Shiryaev, Moscow University.
Organizers:
Irene Fonseca, David Kinderlehrer,Dmitry Kramkov, Giovanni Leoni,
Robert Pego, Dejan Slepcev,Shlomo Ta’asan, Noel Walkington
This conference is sponsored by the Department of Mathematical Sciences and Center of Computational Finance at Carnegie Mellon University and the National Science Foundation.
http://www.math.cmu.edu/cna/Summer08 A grain of brass, diameter about 1 cm, separated from
an ingot. From the collection of W.W. Mullins.
Simulation of singularities in a nematic liquid crystal. Director filed superimposed
upon the view through cross polarizers (Walkington).
Model of coarsening in thin liquid films; a configuration early in the coarsening stage (Otto, Rump, and Slepcev).
ˇ
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Networking
Searching for new opportunities, facilitating already existingcollaborations, and fostering the building of new bridges acrossdifferent institutions in the US and in Europe.
International School for Advanced Studies (SISSA) in TriesteEuropean TMR on Phase Transitions on Crystalline Solids.Italy, France, UK, Germany, and The NetherlandsPIMS (Pacific Institute for the Mathematical Sciences,Vancouver, Canada, and the Banff International ResearchStation)Max Planck Institute for Mathematics in the Sciences inLeipzig, GermanyThe Mathematical Institute at the University of Oxford
2002 Agreement on Cultural Cooperation (graduate studentsand research faculty mobility and interchange) with theUniversities of Firenze (Italy), Roma Tor Vergata (Italy),University Louis Pasteur in Strasbourg (France),
Networking
Searching for new opportunities, facilitating already existingcollaborations, and fostering the building of new bridges acrossdifferent institutions in the US and in Europe.
International School for Advanced Studies (SISSA) in TriesteEuropean TMR on Phase Transitions on Crystalline Solids.Italy, France, UK, Germany, and The NetherlandsPIMS (Pacific Institute for the Mathematical Sciences,Vancouver, Canada, and the Banff International ResearchStation)Max Planck Institute for Mathematics in the Sciences inLeipzig, GermanyThe Mathematical Institute at the University of Oxford
2002 Agreement on Cultural Cooperation (graduate studentsand research faculty mobility and interchange) with theUniversities of Firenze (Italy), Roma Tor Vergata (Italy),University Louis Pasteur in Strasbourg (France),
Networking
Searching for new opportunities, facilitating already existingcollaborations, and fostering the building of new bridges acrossdifferent institutions in the US and in Europe.
International School for Advanced Studies (SISSA) in TriesteEuropean TMR on Phase Transitions on Crystalline Solids.Italy, France, UK, Germany, and The NetherlandsPIMS (Pacific Institute for the Mathematical Sciences,Vancouver, Canada, and the Banff International ResearchStation)Max Planck Institute for Mathematics in the Sciences inLeipzig, GermanyThe Mathematical Institute at the University of Oxford
2002 Agreement on Cultural Cooperation (graduate studentsand research faculty mobility and interchange) with theUniversities of Firenze (Italy), Roma Tor Vergata (Italy),University Louis Pasteur in Strasbourg (France),
Networking
Searching for new opportunities, facilitating already existingcollaborations, and fostering the building of new bridges acrossdifferent institutions in the US and in Europe.
International School for Advanced Studies (SISSA) in TriesteEuropean TMR on Phase Transitions on Crystalline Solids.Italy, France, UK, Germany, and The NetherlandsPIMS (Pacific Institute for the Mathematical Sciences,Vancouver, Canada, and the Banff International ResearchStation)Max Planck Institute for Mathematics in the Sciences inLeipzig, GermanyThe Mathematical Institute at the University of Oxford
2002 Agreement on Cultural Cooperation (graduate studentsand research faculty mobility and interchange) with theUniversities of Firenze (Italy), Roma Tor Vergata (Italy),University Louis Pasteur in Strasbourg (France),
Networking
Searching for new opportunities, facilitating already existingcollaborations, and fostering the building of new bridges acrossdifferent institutions in the US and in Europe.
International School for Advanced Studies (SISSA) in TriesteEuropean TMR on Phase Transitions on Crystalline Solids.Italy, France, UK, Germany, and The NetherlandsPIMS (Pacific Institute for the Mathematical Sciences,Vancouver, Canada, and the Banff International ResearchStation)Max Planck Institute for Mathematics in the Sciences inLeipzig, GermanyThe Mathematical Institute at the University of Oxford
2002 Agreement on Cultural Cooperation (graduate studentsand research faculty mobility and interchange) with theUniversities of Firenze (Italy), Roma Tor Vergata (Italy),University Louis Pasteur in Strasbourg (France),
Networking
Searching for new opportunities, facilitating already existingcollaborations, and fostering the building of new bridges acrossdifferent institutions in the US and in Europe.
International School for Advanced Studies (SISSA) in TriesteEuropean TMR on Phase Transitions on Crystalline Solids.Italy, France, UK, Germany, and The NetherlandsPIMS (Pacific Institute for the Mathematical Sciences,Vancouver, Canada, and the Banff International ResearchStation)Max Planck Institute for Mathematics in the Sciences inLeipzig, GermanyThe Mathematical Institute at the University of Oxford
2002 Agreement on Cultural Cooperation (graduate studentsand research faculty mobility and interchange) with theUniversities of Firenze (Italy), Roma Tor Vergata (Italy),University Louis Pasteur in Strasbourg (France),
Networking
Searching for new opportunities, facilitating already existingcollaborations, and fostering the building of new bridges acrossdifferent institutions in the US and in Europe.
International School for Advanced Studies (SISSA) in TriesteEuropean TMR on Phase Transitions on Crystalline Solids.Italy, France, UK, Germany, and The NetherlandsPIMS (Pacific Institute for the Mathematical Sciences,Vancouver, Canada, and the Banff International ResearchStation)Max Planck Institute for Mathematics in the Sciences inLeipzig, GermanyThe Mathematical Institute at the University of Oxford
2002 Agreement on Cultural Cooperation (graduate studentsand research faculty mobility and interchange) with theUniversities of Firenze (Italy), Roma Tor Vergata (Italy),University Louis Pasteur in Strasbourg (France),
A great opportunity!
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Encourage your students to apply !!!