CURRICULUM VITAE

Last update: 15th of February 2020

Name Dr Nikos (Nikolaos) Katzourakis

Affiliation Department of Mathematics and Statistics, University of ReadingWhiteknights Campus, PO Box 220, RG6 6AX, Reading, United KingdomPhone nr: +44 (0) 118 378 7463E-mail: n.katzourakis@reading.ac.ukWeb: http://www.reading.ac.uk/maths-and-stats/about/Staff/n-katzourakis.aspxResearchGate: https://www.researchgate.net/profile/Nikos KatzourakisORCID: 0000-0001-5292-270X

Employment

5. October 2016 - Present day, Associate Professor of Nonlinear Analysis(Reader), Department of Mathematics and Statistics, University of Reading, Read-ing, UK.

4. April 2013 - September 2016, Lecturer in Nonlinear Analysis (AssistantProfessor), Department of Mathematics and Statistics, University of Reading, Read-ing, UK.

3. 1-31 May 2016, Visiting Professor, Department of Mathematics, Technical Uni-versity of Vienna, Austria.

2. August 2012 - December 2012: Leader of the Research Group “Nonlinear PDEand Calculus of Variations” at BCAM, the Basque Centre for Applied Mathematics,Bilbao, Spain.

1. August 2011 - March 2013: Research Fellow at BCAM, the Basque Centre forApplied Mathematics, Bilbao, Spain.

1

Personal Info Nationality: Greek (Hellenic)Languages: English (fluent), Greek (native), Italian (basic),Spanish (elements)Gender: MaleMarital status: Married, 1 child

Education Fellow of the UK Higher Education Academy (FHEA), 2015.

Ph.D. in Mathematics, National and KapodestrianUniversity of Athens, Greece, 2008 - 2011. Title:Nonlinear Elliptic Systems of Partial Differential Equations.Ph.D. Advisor: N. D. Alikakos

M.Sc. in Pure Mathematics, National and KapodestrianUniversity of Athens, Greece, 2004 - 2006. Title:The Isometric Imbedding Problem of Riemannian Manifoldsand the Nash-Moser Theorem. M.Sc. Advisor: A. Melas.

Degree in Mathematics, National and KapodestrianUniversity of Athens, Greece, 2000 - 2004.

Degree in Amateur Electronics, UNI.E.CO. College, 1995.

Research Interests • Nonlinear PDE theory and the calculus of variations• PDE-constrained, shape & topology optimisation• Automotive engineering & aerodynamics• Electromobility & Li-Ion battery cells• Data assimilation & Earth sciences• Bio-medical imaging methods• Inverse source problems• Image processing

Languages Greek (Native)English (Fluent)Italian (Moderate)Spanish (Basic)(Cambridge First Certificate in English (1996))(Certificazione di Italiano Come Lingua Straniera 2 (1997))

Invited Scientific Talks

58. [Upcoming] Mathematics Institute, University of Warwick, 12 June 2020, Coventry,UK.

57. [Upcoming] Department of Mathematics, University of Salermo, 15 May 2020, Coven-try, UK.

56. Department of Mathematics, University of Florence, 13 December 2019, Florence,Italy.

55. Department of Mathematics, University of Surrey, 26 November 2019, Surrey, UK.

2

54. Department of Mathematics, University of Uppsala, 5th November 2019, Uppsala,Sweden.

53. “Nonlinear averaging and PDEs”, 17-21 June 2019, Levico Terme, Italy.

52. “International Workshop on Nonlocal Models, PDEs and Applications”, 13-14 May2019, Caen, France.

51. Department of Mathematics, University of Swansea, 6 December 2018.

50. Department of Mathematics, University of Dundee, 15 October 2018.

49. Workshop in Calculus of Variations, Zagreb, Croatia, 1-6 September 2018.

48. First Congress of Greek Mathematicians, Athens, Greece, 25-30 June 2018.

47. 11th meeting of Southwest network in generalised solutions of nonlinear PDE, Uni-versity of Cardiff, Cardiff, UK, 9th of May 2018.

46. Seminar on Calculus of Variations (common to Paris 6, Paris 7, Orsay and ParisDauphine) GT CalVa, University of Orsay, Paris, France, 26th of March 2018.

45. Department of Mathematics, University of Athens, Athens, Greece, 2nd of March2018.

44. School of Mathematics, University of Cardiff, UK, 5th meeting of the 2016-17 South-west Network in PDE, 14th February 2017.

43. Department of Mathematics, University of Reading, UK, 24th January 2017.

42. Department of Mathematics, University of Edinburgh, UK, 16th January 2017.

41. Department of Mathematics, University of Athens, Greece, 16th December 2016.

40. School of Mathematics, University of Birmingham, UK, 7th November 2016.

39. Department of Mathematics, University of Leicester, UK, 3rd November 2016.

38. Department of Mathematics and Statistics, University of Reading, LMS-CMI summerschool “Recent advances in nonlinear PDE and geometric Analysis”, Reading, UK,20-24th July 2016.

37. School of Mathematics, Conference “New trends in nonlinear PDE: from theory toapplications”, Cardiff, UK, 20th June 2016.

36. Department of Mathematics, University of Athens, Greece, 17th June 2016.

35. Department of Mathematics, University of Zagreb, Croatia, 16th May 2016.

3

34. Department of Mathematics, University of Swansea, Swansea, UK, 10th March 2016.

33. 1st meeting of Southwest network in generalised solutions of nonlinear PDE, Univer-sity of Bath, Bath, UK, 12th February 2016.

32. 8th Workshop on Whitney problems, Luminy, France, October, 18th-23rd, 2015.

31. Department of Mathematics, University of Athens, Greece, October 1st 2015.

30. Department of Mathematics and statistics, Reading University, July 4th 2015.

29. Applied Analysis Seminar, Department of Mathematics, Regensburg University, Re-gensburg, Germany, April 16th 2015.

28. Analysis Seminar, School of Mathematics, Cardiff University, Cardiff, UK, March16th 2015.

27. London Analysis Seminar, Imperial College London, UK, January 29th 2015.

26. PDE Seminar of the Department of Mathematics, University of Sussex, Sussex, UK,October 20th 2014.

25. ERC Workshop on Existence and Regularity for Nonlinear Systems of Partial Differ-ential Equations, Centro de Giorgi, Pisa, Italy, July 1st 2014.

24. Seminar of the Department of Mathematics, University of Edingurgh, Edinburgh, UK,February 24th 2014.

23. Applied Analysis Seminar of the Department of Mathematics, University of Bath,Bath, UK, February 21th 2014.

22. Analysis Seminar of the Department of Mathematics and Statistics, University ofReading, Reading, UK, November 29th 2013.

21. Oxford Centre for Nonlinear PDE, Lunchtime Seminar, Oxford, UK, November 28th2013.

20. Analysis Seminar of the Department of Mathematics and Statistics, University ofReading, Reading, UK, November 1st 2013.

19. Cardiff School of Mathematics, Analysis Seminar, Cardiff, UK, October 7th 2013.

18. Joint AMS and RMS Meeting, Special Session on Calculus of Variations and PartialDifferential Equations, Alba Julia, Romania, June 29th, 2013.

17. Aalto University, Analysis Seminar, Helsinki, Finland, may 30th, 2013.

16. Department of Mathematics, University of Reading, Reading, UK, February 6th 2013.

4

15. Learning Seminar of BCAM on “Analysis and Differential Equations”, January 30th2013, BCAM, Bilbao, Spain.

14. Learning Seminar of BCAM on “Analysis and Differential Equations”, December11th 2012, BCAM, Bilbao, Spain.

13. Department of Mathematics, University of Athens, December 17th 2012, Athens,Greece.

12. Department of Mathematics, University of Kentucky, Lexington, November 13th2012, Kentucky, USA.

11. Department of Mathematics, University of California Irvine, November 7th 2012,California, USA.

10. Department of Mathematics, University of Pittsburgh, October 29th 2012, Pennsyl-vania, USA.

9. Cambridge Centre for Analysis, University of Cambridge, UK, January 28th 2012.

8. University of Oxford, Mathematical Institute, OxPDE, UK, (Online), December 20th2011.

7. Department of Pure Mathematics and Mathematical Statistics, University of Cam-bridge, UK, Geometric Analysis and PDE Seminar, November 28th 2011.

6. SIAM Conference on the Analysis of Partial Differential Equations, at the minisym-posium on “Aronsson’s Equation and Calculus of Variations in L∞”, San Diego, Cal-ifornia, USA, 14th - 17th November 2011.

5. Partial Differential Equations, Optimal Design and Numerics, Centro de CienciasPedro Pasqual, Benasque, Spain, September 3rd 2011.

4. Continuum and Kinetic Methods in the Theory of Shocks, Fronts and Dislocations,Archimedes Centre for Modelling, Analysis & Computation (ACMAC), Universityof Crete, Greece, June 23rd 2011.

3. Dynamics in Samos, Department of Mathematics, University of Agean, Karlovasi,Samos, Greece, July 29th - September 3rd 2010.

2. Problems in Analysis, Department of Mathematics, University of Agean, Karlovasi,Samos, Greece, September 27th 2008.

1. 12th Panhellenic Conference in Mathematical Analysis, Department of Mathematics,University of Athens, Greece, May 16th 2008.

Invited Scientific Visits

5

24. University of Florence, 12-15 December 2019, Italy.

23. Levico Terme, 17-21 June 2019, Levico Terme, Italy.

22. Caen, 10-14 May 2019, Caen, France.

21. University of Athens, 25-30 June 2018, Athens, Greece.

20. University of Athens, 21 February - 9 March 2018, Athens, Greece.

19. Basque Centre for Applied Mathematics, 7-13 of May 2017, Bilbao, Spain.

18. School of Mathematics, University of Cardiff, Cardiff, UK, 20th-24th June 2016.

17. Department of Mathematics, Technical University of Vienna, Austria, 1-31 May2016.

16. Department of Mathematics, Regensburg University, Regensburg, Germany, April15th-18th 2015.

15. Centro de Giorgi, Pisa, Italy, June 29th-July 5th 2014.

14. Aalto University, Helsinki, Finland, May 25th-31st 2013.

13. BCAM - Basque Centre for Applied Mathematics, Bilbao, Spain, May 6th-11th 2013.

12. Department of Mathematics, University of Reading, Reading, Berkshire, UK, Febru-ary 5th-8th 2013.

11. Department of Mathematics, University of Reading, Reading, Berkshire, UK, Febru-ary 5th-8th 2013.

10. Department of Mathematics, University of Athens, December 16th - 21st 2012, Athens,Greece.

9. Department of Mathematics, University of Kentucky, Lexington, November 13th-18th 2012, Kentucky, USA.

8. Department of Mathematics, University of California Irvine, November 4th - 12th2012, California, USA.

7. Department of Mathematics, University of Pittsburgh, October 28th - November 3rd2012, Pennsylvania, USA.

6. Cambridge Centre for Analysis, University of Cambridge, UK, January 27th - 29th2012.

5. Department of Pure Mathematics and Mathematical Statistics, University of Cam-bridge, UK, November 27th - December 3rd 2011.

6

4. Department of Mathematics, University of Athens, Greece, December 16th - 23rd2011.

3. Department of Mathematics, University of Agean, Karlovasi, Samos, Greece, July29th - September 3rd 2010.

2. Istituto Nazionale di Alta Matematica, Universita di Roma La Sapienza, Rome, Italy,May 25th - 29th 2009.

1. Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy, May 26th - 30th, 2008.

Conferences - Workshops - Schools

31. [Upcoming] Progress in Calculus of Variations in L∞, Department of Mathematics,University of Salermo, 15-16 May 2020, Coventry, UK.

30. “Nonlinear averaging and PDEs”, 17-21 June 2019, Levico Terme, Italy.

29. “International Workshop on Nonlocal Models, PDEs and Applications”, 13-14 May2019, Caen, France.

28. Workshop in Calculus of Variations, Zagreb, Croatia, 1-6 September 2018.

27. First Congress of Greek Mathematicians, 25-30 June 2018, University of Athens,Athens, Greece.

26. 11th meeting of Southwest network in generalised solutions of nonlinear PDE, Uni-versity of Cardiff, Cardiff, UK, 9th of May 2018.

25. 10th meeting of Southwest network in generalised solutions of nonlinear PDE, Uni-versity of Bath, Bath, UK, 18th of April 2018.

24. 9th meeting of Southwest network in generalised solutions of nonlinear PDE, Univer-sity of Reading, Reading, UK, 6th of February 2018.

23. 8th meeting of Southwest network in generalised solutions of nonlinear PDE, Univer-sity of Cardiff, Cardiff, UK, 25th of September 2017.

22. 7th meeting of Southwest network in generalised solutions of nonlinear PDE, Univer-sity of Reading, Reading, UK, 13th of June 2017.

21. 6th meeting of Southwest network in generalised solutions of nonlinear PDE, Univer-sity of Bath, Bath, UK, 3rd of May 2017.

20. 5th meeting of Southwest network in generalised solutions of nonlinear PDE, Univer-sity of Cardiff, Cardiff, UK, 14th February 2017.

7

19. 4th meeting of Southwest network in generalised solutions of nonlinear PDE, Univer-sity of Reading, Reading, UK, 30th September 2016.

18. 3rd meeting of Southwest network in generalised solutions of nonlinear PDE, Uni-versity of Cardiff, Cardiff, UK, 11th July 2016.

17. Modern topics in nonlinear PDE and geometric analysis, Reading, 4th-8th July 2016.

16. New trends in nonlinear PDE: from theory to applications, Cardiff, 20th-24th June2016.

15. 2nd meeting of Southwest network in generalised solutions of nonlinear PDE, Uni-versity of Bath, Bath, UK, 20th April 2016.

14. 1st meeting of Southwest network in generalised solutions of nonlinear PDE, Univer-sity of Bath, Bath, UK, 12th February 2016.

13. 8th Workshop on Whitney problems, Luminy, France, October, 18th-23rd, 2015.

12. Conference on Calculus of Variations, PDE, and Geometric Measure Theory, Uni-versity of Sussex, Sussex, 7-8 September 2015.

11. ERC Workshop on Existence and Regularity for Nonlinear Systems of Partial Differ-ential Equations, Centro de Giorgi, Pisa, Italy, July 30th-July 5th 2014.

10. Modern Nonlinear PDE Methods in Fluid Dynamics LMS-EPSRC Short Course, Uni-versity of Reading, July 8th-12th 2013.

9. Joint AMS and RMS Meeting, Special Session on Calculus of Variations and PartialDifferential Equations, Alba Iulia, Romania, June 26th- July 1st, 2013.

8. BCAM Workshop Environmental Mathematics Day, February 26th 2013, Bilbao,Spain.

7. Summer Course Frontiers of Mathematics and Applications III - UIMP 2012, UIMP,Palacio de la Magdalena, Santander, August 13th-17th, 2012, Spain.

6. Fully Nonlinear PDEs in Real and Complex Geometry and Optics Cetraro, July 9th -13th, 2012, Italy.

5. European Finite Element Fair 2012, June 8th-9th 2012, Bilbao, Basque Country,Spain.

4. Aquitaine-Euskadi Workshop on Applied Mathematics, June 6th-7th 2012, Bilbao,Basque Country, Spain.

3. EMS-RSME joint Mathematical Weekend, Bilbao, 7th - 9th October, 2011, Spain.

8

2. Symmetry for elliptic PDEs (30 years after a conjecture of De Giorgi and relatedproblems), INDAM, Universita di Roma La Sapienza, Rome, Italy, May 25th - 29th,2009.

1. Singularities in nonlinear evolution phenomena and applications, Centro di RicercaMatematica Ennio De Giorgi, Pisa, Italy, May 26th - 30th, 2008.

Organisation of Meetings & Academic Events

5. 2017-18 Southwest Network in Generalised Solutions of Nonlinear PDE.

A Reading-Bath-Cardiff network with scheduled meetings in the theory of nonlinearPDE supported by the London Mathematical Society.

• Workshop 12 (Cardiff).

• Workshop 11 (Cardiff).

• Workshop 10 (Bath).

• Workshop 9 (Reading).

4. 2016-17 Southwest Network in Generalised Solutions of Nonlinear PDE.

A Reading-Bath-Cardiff network with scheduled meetings in the theory of nonlinearPDE supported by the London Mathematical Society.

• Workshop 8 (Cardiff).

• Workshop 7 (Reading).

• Workshop 6 (Bath).

• Workshop 5 (Cardiff).

3. 2015-2016 Southwest Network in Generalised Solutions of Nonlinear PDE

A Reading-Bath-Cardiff network with scheduled meetings in the theory of nonlinearPDE supported by the London Mathematical Society.

• Workshop 4 (Reading).

• Workshop 3 (Bath).

• Workshop 2 (Cardiff).

• Workshop 1 (Bath).

2. Modern topics in Nonlinear PDE and Geometric Analysis

Research School supported by the London Mathematical Society and the Clay Math-ematical Institute, 4th-8th July 2016. Whiteknights Campus, Reading, UK.

9

1. Recent Advances in Nonlinear PDE and Calculus of Variations

Supported by the Oxford Centre for Nonlinear PDE the Department of Mathematicsand Statistics of the University of Reading and the London Mathematical Society,12th-13th-14th February 2014, Whiteknights Campus, Reading, UK.

Administrative and Management

12. 2018 - today, Coordinator of the 3rd and 4th year undergraduate programme of theChinese NUIST students completing their studies at the University of Reading.

11. 2016 - today, Coordinator of 3rd and 4th year of undergraduate programme of studyof the Department of Mathematics and Statistics of the University of Reading.

10. 2017, Member of the recruitment panel for the EPSRC postdoctoral position on“Adaptive Regularisation”.

9. 2016 - 2018, Organiser of the “Lunchtime Seminar in PDE” of the Department ofMathematics and Statistics of the University of Reading.

8. 2016, Chair of the recruitment panel for the EPSRC postdoctoral position on “Vecto-rial Calculus of Variations in L∞, generalised solutions in nonlinear PDE and appli-cations in Data Assimilation”.

7. 2015, Member of the Evaluation Committee of Department of Mathematics andStatistics of the University of Reading in the Call for Rado Fellows.

6. 2014 - 2016, Organiser of the Seminar of the Department of Mathematics and Statis-tics of the University of Reading.

5. 2013 - 2016, Representative of the Department of Mathematics and Statistics of theUniversity of Reading to the London Mathematical Society.

4. 2011 - 2013, Organiser of the weekly Learning Seminar on “Analysis and DifferentialEquations” at BCAM (Bilbao, Spain) (every working Tuesday at 15.00, Ground floorSeminar Room).

3. 2014, Organisation of the Workshop Recent Advances in Nonlinear PDE and Calcu-lus of Variations.

2. 2013, Member of the Evaluation Committee of ERC Numeriwaves Advanced Grantof Professor Enrique Zuazua at BCAM in the Call for PhD students.

1. 2012, Member of the Evaluation Committee of BCAM in the Call for Researchersand Postdctoral Fellows.

10

Funding (Grants and Fellowships)

7. Grant, £125,000 : EPSRC first grant on “Vectorial Calculus of Variations in L∞, gen-eralised solutions for fully nonlinear systems and applications to Data Assimilation”,ranked first by the EPSRC panel.

6. Grant, £40,000 : Summer School supported by the London Mathematical Societyand the Clay Mathematical Institute, 4th-8th July 2016, “Modern topics in NonlinearPDE and Geometric Analysis” (£31K from CMI-LMS plus registration fees).

5. Grant, £4,500 : Southwest Network in Generalised Solutions of Nonlinear PDE, AReading-Bath-Cardiff network with scheduled meetings in the theory of nonlinearpartial differential equations supported by the London Mathematical Society, 2015-2016 (LMS: £1,500, host Universities: £3,000).

4. Grant, £10,000 : Recent Advances in Nonlinear PDE and Calculus of Variations,University of Reading, 12-14 February 2014, (University of Oxford Grant & LMSco-funding).

3. Grant, £3,500 : London Mathematical Society Scheme 2 Grant supporting interna-tional visits to the UK, £3,500 (LMS: £1,500, host Universities: £2,000).

2. Grant, £3,200 : Southwest Network in Generalised Solutions of Nonlinear PDE, AReading-Bath-Cardiff network with scheduled meetings in the theory of nonlinearpartial differential equations supported by the London Mathematical Society, 2016-2017 (LMS: £1,200, host Universities: £2,000).

1. Fellowship, €45,000 : PhD fellowship 2009-2011, Heraclitus II - Strengthening hu-man research potential through the implementation of doctoral research, OperationalProgramme for Education and Lifelong Learning (HPAKΛEITOΣ II), ERC (80%)Greek State (20%).

Editorial

2. Guest editor of the Special Issue “Calculus of Variations and Its Applications”, Math-ematics (ISSN 2227-7390) (MDPI)

1. Editor of the Journal Cogent Mathematics (Taylor & Francis)

Journals’ Referee

16. Referee for the Advances in Calculus of variations

15. Referee for the Bulletin of the LMS

11

14. Referee for the Transactions of the AMS

13. Referee for the Journal of Mathematical Analysis and Applications

12. Referee for the Revista Matematica Iberoamericana

11. Referee for the Advances in Nonlinear Analysis

10. Referee for the Journal of Applied Analysis

9. Referee for the SIAM Journal of Mathematical Analysis

8. Referee for the Calculus of Variations and PDE

7. Referee for the Proceedings of the Royal Society of Edinburgh A

6. Referee for the Rocky Mountain Mathematics Journal

5. Referee for the Journal of Geometric Analysis

4. Referee for the Acta Mathematica Aplicandae

3. Referee for the Journal of Nonlinear Mathematical Physics

2. Referee for the Journal of Mathematical Physics

1. Referee for the Quarterly of the Royal Meteorological Society

Professional Memberships

1. Member of the London Mathematical Society

PhD External examiner

5. University of Cardiff, Cardiff, December 2018.

4. University of Swansea, Swansea, December 2018.

3. University of Sussex, Brighton, September 2018.

2. Indian Institute of Technology Gandhinagar, March 2018.

1. Indian Institute of Technology Gandhinagar, March 2017.

Postdoctoral research Associates and assistants

2. Giles Shaw (funded by the EPSRC & the University of Reading), September 2016 -January 2018.

12

1. Ioannis Boras (funded by the EPSRC & the University of Reading), January 2018 -June 2018.

PhD Research Students

4. Ed Clark, October 2019 - September 2022 (supervision load 100%).

3. Georgios Sialounas, October 2018 - September 2021 (supervision load 100%).

2. Birzhan Ayanbayev, February 2016 - January 2020 (supervision load 95%).

1. Hussien Abugirda, October 2014 - June 2018 (supervision load 100%).

MSc and BSc Graduate Students

25. Daniel Lloyd, Part 3 dissertation, 2019-20.

24. Elizabeth Hopkins, Part 3 dissertation, 2019-20.

23. Oliver Robottom, Part 3 dissertation, 2019-20.

22. James Rabson, Part 3 dissertation, 2019-20.

21. Evita Cheung, Part 3 dissertation, 2019-20.

20. Matthew Crick, Part 3 dissertation, 2019-20.

19. Bethany Robinson, Part 3 dissertation, 2019-20.

18. Helen Wilde, Part 3 dissertation, 2019-20.

17. Shaokang Deng, Part 3 dissertation, 2019-20.

16. James Clark, Part 3 dissertation, 2019-20.

15. Edward Clark, Part 4 dissertation 2018-2019.

14. William Paine, Part 3 dissertation, 2017-18.

13. Andrew Kwok, Part 3 dissertation, 2017-18.

12. Liam Centala, Part 3 dissertation, 2017-18.

11. Edward Clark, Part 3 dissertation, 2017-18.

10. Patrick Coles, Part 3 dissertation, 2017-18.

9. Peter Acroyd, Part 3 dissertation, 2016-17.

13

8. Sophie Parker, Part 3 dissertation, 2016-17.

7. Naufil Shah, Part 3 dissertation, 2016-17.

6. Giorgos Chalivopulos, CDT MRes dissertation 2015-2016.

5. Kabali Musoke, Part 4 dissertation 2015-2016.

4. Jholie Recla, Part 3 dissertation 2014-2015.

3. Rhodrigue Tshibangu, Part 3 dissertation 2014-2015.

2. Lewis Saunders, Part 3 dissertation 2013-2014.

1. Oliver Williamson, Part 3 dissertation 2013-2014.

Interns

2. Maxime Prodhomme, 01/07/2016 - 31/08/2016.

1. Vassiliki Bora, 01/01/2012 - 30/06/2012 (BCAM, Bilbao, Spain).

Teaching for 2019-2020

2. MA3MS - Metric spaces (undergraduate, autumn term, 20hrs)

1. MA3FA1 - Functional Analysis I, (undergraduate, spring term, 20hrs)

Teaching for 2018-2019

2. MA4PDE/MAMPDE1* - Advanced PDE theory (postgraduate, 20hrs)

1. MA1RA1/MA2RA1 - Real Analysis (undergraduate, autumn term, 20hrs)

Teaching for 2017-2018

2. MA4PDE/MAMPDE1 - Advanced PDE theory (postgraduate, 25hrs)

1. MA1RA1/MA2RA1 - Real Analysis (undergraduate, autumn term, 20hrs)

Teaching for 2016-2017

*Module for the Centre for Doctoral Training “Mathematics of Planet Earth” (Joint between ImperialCollege of London and the University of Reading, http://mpecdt.org/ ).

14

2. MA4PDE/MAMPDE1 - Advanced PDE theory (postgraduate, 25hrs)

1. MA3MTI - Measure theory and integration (undergraduate, 25hrs)

Teaching for 2015-2016

4. MA4PDE/MAMPDE1∗ - Advanced PDE theory (postgraduate, 25hrs)

3. MA3MTI - Measure theory and integration (undergraduate, 25hrs)

2. MA4FA2 - Functional Analysis II (postgraduate, 20hrs)

1. Introduction to Viscosity solutions and application to Calculus of Variations in L∞

(postgraduate, 30hrs)[at the Technical University of Vienna in Austria during the visiting position]

Teaching for 2014-2015

3. MAMPDE1∗ - Advanced PDE theory (postgraduate, 25hrs)

2. MA3FA1 - Functional Analysis I (undergraduate, 20hrs)

1. MA4FA2 - Functional Analysis II (postgraduate, 20hrs)

Teaching for 2013-2014

1. MA4FA2 - Functional Analysis II (postgraduate, 20hrs)

Previous Teaching (Postgraduate and Graduate courses) in the years 2004-2011

(Mostly as private tutoring and for 1 term in 2009-10 at the Vitali Educational Group(equivalent to University) in Athens, Greece).

Algebra-Geometry:

6. Linear Algebra (Vector spaces and maps)

5. Analytic Geometry (Cartesian approach)

4. Affine Geometry (Klein’s approach of group actions)

3. Elementary Differential Geometry (Curves and surfaces)

2. Classical Riemannian Geometry (Surfaces)

15

1. Differential Geometry (Basic manifold theory)

Analysis:

12. Calculus I (Single variable, basics)

11. Calculus II (Single variable, advanced)

10. Calculus III (Multivariable, advanced)

9. Geometric Analysis (Gauss-Green-Stokes Integration theory)

8. Ordinary Differential Equations (Basic theory)

7. Partial Differential Equations I (Linear 2nd order theory)

6. Partial Differential Equations II (Nonlinear 1st order theory)

5. Fourier Analysis (Series, Transform and applications)

4. Real Analysis (Theory of Metric Spaces)

3. Functional Analysis I (Banach-Hilbert spaces)

2. Functional Analysis II (Topological vector spaces)

1. Nonlinear Programming (Basic Optimisation)

Lecturing Experience of invited Advanced Courses

6. A glimpse of vectorial Calculus of Variations in L∞ and fully nonlinear PDE systemsthrough the non-expert’s keyhole, Deusto University of Bilbao and BCAM, Bilbao,Spain, May 7th-14th, 2017.

5. An Introduction to Viscosity Solutions for Fully Nonlinear PDEs and Applications toCalculus of Variations in L∞, Technical University of Vienna, Austria, May 1st-31st,2016.

4. An Introduction to Viscosity Solutions for Fully Nonlinear PDEs and Applications toCalculus of Variations in L∞, BCAM, Bilbao, Spain, May 6th-10th, 2013.

3. A tour to the ∞-Laplacian PDE with viscosity free pass, Department of Pure Mathe-matics and Mathematical Statistics, University of Cambridge, UK, November 27th -December 3rd 2011.

2. A course on the∞-Laplacian PDE, Department of Mathematics, University of Athens,Greece, regular lectures within 2011 every working Friday in the Analysis Seminar.

16

1. A course on Viscosity Solutions for fully nonlinear PDE, Department of Mathematics,University of Athens, Greece, regular lectures within 2011 every working Friday inthe Analysis Seminar.

Scientific work:

(Preprints and Offprints available at the ArXiv website and my ResearchGate Profile)

Invited Books – Monographs

59. (with E. Varvaruca) An Illustrative Introduction to Modern Analysis, CRC Press /

Taylor & Francis, 558 pages, 2018. Publisher’s link and free material.

58. An Introduction to Viscosity Solutions for Fully Nonlinear PDE with Applicationsto Calculus of Variations in L∞, Springer Briefs in Mathematics, 150 pages, 2015.Publisher’s link and preprint.

Research Papers

In preparation:

57. (with E. Clark) Data assimilation for the Navier-Stokes equations through PDE-constrained optimisation in L∞.

56. (with R. Moser) On various properties of second order variational problems in L∞.

55. (with E. Lindgren) On the eigenvalue problem for the∞-Laplace system.

54. (with G. Shaw) On the existence and uniqueness of vectorial absolute minimisers.

53. (with B. Ayanbayev and R. Moser) On absolute minimisers in higher order Calculusof Variations in L∞.

52. (with J. Kristensen) On the regularity of p-Polyharmonic maps as p ∈ [2,∞].

51. (with J. Kristensen) On Approximate Solutions of Differential Inclusions via L∞ trun-cation.

50. Minimising the drag coefficient through PDE-constrained shape and topology opti-misation in L∞.

49. Minimising the degradation of Li-ion battery cells for electric vehicles through opti-mal control in L∞.

48. Optimising electric motors through PDE-constrained shape and topology optimisa-tion in L∞.

17

47. Solvability of the Dacorogna-Moser problem for the Jacobian and pullback equationwith L∞ right hand side.

Preprints:

46. (with B. Ayanbayev) The fully nonlinear inverse source identification problem in L∞.

45. On a vector-valued generalisation of viscosity solutions for general PDE Systems.

44. (with H. Abugirda) A quick review of vectorial Calculus of variations in L∞.

43. Mollification ofD-Solutions to Fully Nonlinear PDE Systems.

Published / Accepted:

42. (with T. Pryer) On the numerical approximation of vectorial absolute minimisers,NoDEA, accepted.

41. (with H. Abugirda and B. Ayanbayev) Rigidity and flatness of the image of certainclasses of mappings having tangential Laplacian, Rocky Mountain Journal of Math-ematics, to appear (2020).

40. A minimisation problem in L∞ with PDE and unilateral constraints, ESAIM: Control,Optimisation and Calculus of Variations, to appear (2020).

39. Inverse optical tomography through PDE-constrained optimisation in L∞, SIAMJournal on Control and Optimization, Vol. 57, No. 6, pp. 4205-4233 (2019).

38. (with B. Ayanbayev) Vectorial variational principles in L∞ and their characterisationthrough PDE systems, Applied Mathematics & Optimization, 1-16 (2019).

37. An L∞ regularisation strategy to the inverse source identification problem for ellipticequations, SIAM Journal Math. Analysis, SIAM Journal Math. Analysis, Vol. 51,No. 2, pp. 1349-1370 (2019).

36. (with R. Moser) Existence, Uniqueness and Structure of Second Order Absolute Min-imisers, Archive for Rational Mechanics and Analysis 231:3, 1615 - 1634 (2019).

35. (with T. Pryer) On the numerical approximation of p-Biharmonic and∞-Biharmonicfunctions, Numerical Methods for PDE, Numerical Methods in Partial DifferentialEquations, 1-26 (2018).

34. (with G. Shaw) Counterexamples in Calculus of Variations in L∞ through the vecto-rial Eikonal equation, Comptes Rendus Mathematique Ser. I 356:5, 498-502 (2018).

33. Weak versusD-solutions to linear hyperbolic first order systems with constant coeffi-cients, Journal of Hyperbolic Differential Equations, Vol. 15, No. 2 (2018) 329-347.

18

32. (with T. Pryer) A review form the PDE viewpoint of Hamilton-Jacobi-Bellman Equa-tions Arising in Optimal Control with Vectorial Cost, Journal of Nonlinear FunctionalAnalysis, Vol. 2018, Article ID 6, pp. 1-20 (2018).

31. (with T. Pryer) 2nd order L∞ Variational Problems and the ∞-Polylaplacian, Ad-vances in Calculus of Variations, Published Online: 27-01-2018, DOI: https://doi.org/

10.1515/acv-2016-0052 (in press).

30. (with B. Ayanbayev) A Pointwise Characterisation of the PDE system of vectorialCalculus of variations in L∞, Proceedings of the Royal Society of Edinburgh: SectionA Mathematics, 1-17. doi:10.1017/prm.2018.89.

29. (with E. Parini) The eigenvalue problem for the∞-Bilaplacian, Nonlinear DifferentialEquations and Applications NoDEA 24:68, (2017).

28. (with G. Croce and G. Pisante) D-solutions to the system of vectorial Calculus ofVariations in L∞ via the singular value problem, Discrete and Continuous DynamicalSystems 37:12, 6165-6181 (2017).

27. Solutions of Vectorial Hamilton-Jacobi Equations are Rank-One Absolute Minimisersin L∞, Advances in Nonlinear Analysis, in press. Published Online: 2017-06-04 —DOI: https://doi.org/10.1515/anona-2016-0164.

26. Generalised solutions for fully nonlinear PDE systems and existence-uniqueness the-orems, Journal of Differential Equations 23, 641 - 686 (2017).

25. A New Characterisation of ∞-Harmonic and p-Harmonic Mappings via Affine Vari-ations in L∞, Electronic Journal of Differential Equations 2017:29, 1 - 19 (2017).

24. Absolutely Minimising Generalised Solutions to the Equations of vectorial Calculusof Variations in L∞, Calculus of Variations and PDE 56:1, 1 - 25 (2017).

23. (with H. Abugirda) Existence of 1D Vectorial Absolute Minimisers in L∞ under Min-imal Assumptions, Proceedings of the AMS 145:6, 2567 - 2575 (2017).

22. A Remark on Global W1,p Bounds of Harmonic Functions with Lipschitz BoundaryValues, Glasnik Matematicki, Vol. 52:72, 107 113 (2017).

21. (with H. Abugirda) On the Well-Posedness of Global Fully Nonlinear First Order El-liptic Systems, Advances in Nonlinear Analysis, DOI: https://doi.org/10.1515/anona-2016-0049, May 2016.

20. (with T. Pryer) On the Numerical Approximation of∞-Harmonic Mappings, Nonlin-ear Differential Equations and Applications 23 (6), 1 - 23 (2016).

19

19. Existence and Uniqueness of Global Solutions to Fully Nonlinear Second Order El-liptic Systems, Nonlinear Differential Equations and Applications NoDEA 23:3, 1-30(2016).

18. (with J. Manfredi) Remarks on the Validity of the Maximum Principle for the ∞-Laplacian, Le Matematiche LXXI:I, 63 - 74 (2016).

17. On Linear Degenerate Elliptic PDE Systems with Constant Coefficients, Advances inCalculus of Variations 9:3, 283-291 (2016).

16. On the Dirichlet Problem for Fully Nonlinear Elliptic Hessian Systems, Ann. Sc.Norm. Super. Pisa Cl. Sci. XVI:5, 707 - 727 (2016).

15. On the Loss of Compactness in the Vectorial Heteroclinic Connection Problem, Proc.Royal Soc. Edinburgh A, 146A, 114 (2016).

14. Existence and Uniqueness of Global Solutions to Fully Nonlinear First Order EllipticSystems, Nonlinear Analysis 115, 50 - 61 (2015).

13. Nonsmooth Convex Functionals and Feeble Viscosity Solutions of Singular Euler-Lagrange Equations, Calculus of Variations and PDE, published online November2014, (DOI) 10.1007/s00526-014-0786-x.

12. Nonuniqueness in Vector-valued Calculus of Variations in L∞ and some Linear Ellip-tic Systems, Communications on Pure and Applied Analysis 14:1, 313 - 327 (2015).

11. Optimal∞-Quasiconformal Immersions, ESAIM Control, Optimisation and Calculusof Variations 21:2, 561 - 582 (2015).

10. On the Structure of∞-Harmonic Maps, Communications in PDE 39:11, 2091 - 2124(2014).

9. ∞-Minimal Submanifolds, Proceedings of the AMS 142, 2797-2811 (2014).

8. Explicit 2D∞-Harmonic Maps whose Interfaces have Junctions and Corners, ComptesRendus Acad. Sci. Paris, Ser.I, 351, 677 - 680 (2013).

7. The Subelliptic ∞-Laplace System on Carnot-Caratheodory Spaces, Advances inNonlinear Analysis. 2:2, 213 - 233 (2013).

6. L∞-Variational Problems for Maps and the Aronsson PDE system, J. DifferentialEquations 25:7, 2123 - 2139 (2012).

5. A Holder Continuous Nowhere Improvable Function with Derivative Singular Distri-bution, SeMA Journal 59, 37 - 51 (2012).

20

4. Maximum Principles for Vectorial Approximate Minimizers of Nonconvex Function-als, Calculus of Variations and PDE, DOI 10.1007/s00526-012-0491-6, publishedonline (2012).

3. Explicit Singular Viscosity Solutions of the Aronsson Equation, Comptes RendusMathematique, C. R. Acad. Sci. Paris, Ser.I. 349, 1173 - 1176 (2011).

2. (with N. Alikakos) Heteroclinic Travelling Waves of Gradient Diffusion Systems,Transaction of the AMS 363, 1365 - 1397 (2011).

1. The Riemann Surface of the Logarithm Constructed in a Geometrical Framework,RHIT math. Massachusetts Journal 6:5, (2005). [Undergraduate research]

Theses

2. Nonlinear Elliptic Systems of Partial Differential Equations, Doctoral dissertation,2011 (in Greek).

1. The Isometric Imbedding Problem of Riemannian Manifolds and the Nash-MoserTheorem, Master’s dissertation, 2006 (in Greek).

Unpublished Research and Lecture Notes (manuscripts)

18. Notes on the electrochemical model of Li-ion cells.

17. Notes on the degradation models of Li-ion cells.

16. Notes on the shape and topology optimisation.

15. Notes on the drag of moving objects in fluids.

14. Notes on Hutchinson’s measure-function pairs.

13. Notes on the Miranda-talenti inequality.

12. Notes on essential limsup and the local sup norm.

11. Notes on Tartar’s theory of Compensated Compactness.

10. Notes on Null Lagrangians in Calculus of Variations.

9. Notes on viscosity solutions of fully nonlinear PDEs.

8. Notes on comparison with cones and the∞-Laplacian.

7. Notes on viscosity solutions and Aronsson’s equation.

21

6. Notes on Perron’s method for Absolute Minimisers.

5. Notes on supremal functionals and the Lipschitz space.

4. Notes on generalised functions of finite order and ultra-weak convergence.

3. Notes on Young measures and disintegration theory.

2. Notes on the loss of compactness in the heteroclinic connection problem.

1. Notes on Kaluza-Klein 5-D General Relativity and imbedding theorems.

22