University of Texas at Austin

1 University Station C1200

Austin,TX, 78712-0257

U.S.A.

- B.S., Mathematics, Ecole Normale Supérieure, rue d'Ulm, PARIS, 1993.

- M.A., Mathematics, Ecole Normale Supérieure, 1995.

- Ph.D., Mathematics, University of Jussieu (Paris 6), 1999. Thesis Advisor: Yann Brenier.

- John T. Stuart Centennial Professor in Mathematics, Department of Mathematics, University of Texas at Austin, from September 2016 to present.

- Affiliated member of ICES, The institute for Computational Engineering and Sciences, from September 2013 to present.

- Professor, Department of Mathematics, University of Texas at Austin, from August 2011 to present.

- Professor, Mathematical Department, University of Oxford, UK, 2010-2011.

- Associate Professor, department of Mathematics, University of Texas at Austin, 2007-2011.

- Assistant Professor, department of Mathematics, University of Texas at Austin, 2003-2007.

- Permanent position of Researcher at the C.N.R.S. (National center of scientific research, France), University of Nice, 1999--2003.

- Fluid mechanics, Navier-Stokes equations.

- Integral operators.

- Hyperbolic conservation laws.

- Kinetic equations, hydrodynamical limits.

- The work of Alexis Vasseur and Cheng Yu has been the topic of a presentation at the Seminaire Bourbaki in IHP, Paris.

- Fellow of the American Mathematical Society (class 2016).

- Closing plenary lecture of the ``14th International Conference on Hyperbolic Problems", Padova June 25-29, 2012, (~340 participants).

- The paper "Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation" (Ann. Math. 171[3]: 1903-30, May 2010) has been identified by Thomson Reuters Essential Science IndicatorsSM as a featured New Hot Paper in the field of Mathematics, which means it is one of the most-cited papers in this discipline published during the past two years.

- Plenary Lecture at the SIAM conference DSPDEs'10, May/June 2010.

- National Science Foundation: Grant award, 2016-2019.

- National Science Foundation: Grant award, 2012-2016.

- National Science Foundation: Grant award, 2009-2012.

- National Science Foundation: Grant award, 2006-2009.

- Frank Gerth III Faculty fellowship: 2009-2010.

- President's associates centennial teaching fellowship: 2008-2009.

- University of Texas Summer Research Appointment, 2005.

- Young Sam Kwon

Ph.D., University of Texas, 2007

Thesis: Strong Trace for Degenerate Parabolic-Hyperbolic Equations and Applications

Associate Professor

Dong-A university, Busan, South Korea.

- Chi-Hin Chan

Ph.D., University of Texas, 2008

Thesis: The De Giorgi's Method as Applied to The Regularity Theory for Incompressible Navier Stokes Equations.

Associate Professor

National Chiao Tung University, Taiwan.

- Craig Michoski

Ph.D., University of Texas, 2009 (co-advised with John F. Stanton, chemistry department)

Thesis: Evolution equations in chemical systems.

Postdoctoral Researcher

ICES, The university of Texas at Austin.

- Nicholas Leger

Ph.D. University of Texas, 2010

Thesis: A Fragmentation Model for Sprays and L2 Stability Estimates for Shocks Solutions of Scalar Conservation Laws Using the Relative Entropy Method.

Clinical Assistant Professor

University of Houston.

- Kyudong Choi

Ph.D. University of Texas, 2012

Thesis: Estimates on derivatives for the Navier-Stokes equations and Holder continuity for integro-differential equations.

Assistant Professor

Ulsan National Institute of Science and Technology, South Korea.

- Eric Baer,

Ph.D. University of Texas, 2012 (Co-advised with Prof. Figalli)

Van Vleck Visiting Assistant Professor

University of Wisconsin-Madison

- Cheng Yu

- Sam Krupa

- Matt Novack

- Logan Stokols

- Program Director of the Activity Group on Analysis of PDE (SIAG/APDE)

at the Society for Industrial and Applied Mathematics (SIAM), January 2017-December 2018.

- Acting Chair of the Department of Mathematics, January-June 2016.

- Associate Chair, Department of Mathematics, September 2013-January 2017.

- Associate Editor for SIMA (SIAM Journal on Mathematical Analysis) (From January 2016).

- Associate Editor for CMS (Communications in Mathematical Sciences) (from January 2015).

- Associate Editor for M3AS (Math. Models and Methods in Applied Sciences) (From January 2009).

- 21st Century Research Working Group, 2016-2017, College of Natural Sciences.

- Strategic plan for Seed Funding for Interdisciplinary Research, Summer 2013, College of Natural Sciences.

- Internal review of the Institute for Fusion Studies (IFS), April 2014, College of Natural Sciences.

- Review committee (Chair), 2013-2015, Math department.

- Tenure and Promotion committee, 2011--2014, College of Natural Sciences.

- Tenure and Promotion committee, 2011--2013, Math department.

- Strategic planning committee, 2011--2015, Math department.

- Chair committee, 2011--2017, Math department.

- Hiring committee (Chair), 2012--2013, Math department.

- Member of the Organizing Committee for the PSPDE's meeting in Braga, Portugal, December 2015.

- Focus session on Nonlocal Phenomena, co-organized with Peter Bates at X Americas conference on Differential Equations, Buenos Aires, Argentina, 2015-01-16-20.

- Minisymposium co-organizer on "Boltzmann Equations in transport theory" with Prof. Gamba and Prof. Carvalho in the SIAM Conference on Ananlysis of Partial Differential Equations in Houston, December 6-8 2004.

- Nonlocal School on Fractional Equations NSFE 2017, Iowa State University, 2017-08-18, "Regularity theory for a family of Integral-differential operators".

- Equadiff 2017, Bratislava, Slovakia, 2017-07-25, "The quantum Navier-Stokes equation and its semiclassical limit".

- Lecture on the Quasi-geostrophic equation, University of Chicago, 2017-06.

- Advanced School & Workshop on Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability, ICTP, Trieste, Italy, 2017-05-25, "Global regularity of solutions to the 4-species quadratic diffusion-reaction system in any space dimension".

- Seminar, The University of Kansas, 2017-04-06, "Global solutions to the compressible Navier-Stokes equation with degenerate viscosities".

- Conference on Current Developments in Mathematical Fluid Dynamics, Brown University, 2017-01-25, "Recent results on the 3D quasi-geostrophic equation".

- Seminar, Capital Normal University, Beijing, China, 2016-12-05, "Global existence of solutions for the compressible Navier-Stokes equation".

- Lecture on the quasi-geostrophic equation, The Chinese academia of Sciences, Beijing, China, 2016-12.

- Seminar, University of Wisconsin-Madison, 2016-11-14, "Recent results on the 3D quasi-geostrophic equation".

- Conference on Transport phenomena in collective dynamics: from micro to social hydrodynamics, ETH, Zurich, Switzerland, 2016-11-03, "Recent results on the 3D quasi-geostrophic equation".

- Colloquium, Rice University, Houston, 2016-09-08, "Recent results for the quasi-geostrophic equation".

- 7th European Congress of Mathematics, Berlin, Germany, 2016-07-20, "Global solutions to 3D compressible Navier-Stokes equations with degenerate viscosities".

- Asymptotic behavior of systems of PDE arising in physics and biology, University of Lille, 2016-06-15, "Global Existence of Solutions to the 3D Navier-Stokes Equations with Degenerate Viscosities".

- Conference-Calculus of Variations and Nonlinear Partial Differential Equations, Columbia University, NY, 2016-05-25, "Holder regularity for hypoelliptic kinetic equations with bounded measurable coefficients".

- Colloquium, PennState, Department of Mathematics, 2016-03-29, "Relative entropy and stability for Conservation Laws".

- Advances in Kinetic and Fluid Dynamics Transport: Analysis and Approximations, ICES, The University of Texas at Austin, 2016-02-24, "Holder regularity for hypoelliptic kinetic equations with rough diffusion coefficients".

- Mini workshop on modeling, analysis, computation and application of kinetic problems, Brown University, 2016-02-05, "Holder regularity for hypoelliptic kinetic equations with rough diffusion coefficients".

- 2016 Joint Mathematics meetings, Seattle, Washington, 2016-01-9, "Global weak solutions to the inviscid 3D quasi-geostrophic equation".

- Particle Systems and PDE's - IV, University of Minho, Braga, Portugal, 2015-12-17, "Global Existence of Solutions to the 3D Navier-Stokes Equations with Degenerate Viscosities".

- SIAM Conference on PDE, Scottsdale, Arizona, 2015-12-08, "Global Existence of Solutions to the 3D Navier-Stokes Equations with Degenerate Viscosities".

- Analysis seminar, Rutgers University, New Brunswick, 2015-10-14, "Regularity theory for the Surface Quasi-Geostrophic Equation".

- PDE seminar, Laboratoire Jacques-Louis Lions, Paris 6, La Sorbonne, Paris, France, 2015-06-26, "Théorie de régularité pour une famille d'opérateurs intégraux-différentiels".

- XEDP seminar, Ecole Polytechnique, Paris, France, 2015-06-23, "Existence of Global Solutions for 3D Compressible Navier-Stokes".

- PDE seminar, University of Savoie, Chambery, France, 2015-06-19, "Existence of Global Solutions for 3D Compressible Navier-Stokes".

- The fourth international conference on nonlinear evolutionary partial differential equations-theories and applications, Jiao Tong University, Shanghai, China, 2015-06-04, "Existence of Global Solutions for 3D Compressible Navier-Stokes".

- Conference-Calculus of Variations and Nonlinear Partial Differential Equations, Austin, Texas, 2015-05-27, "Regularity theory for non local operators".

- International Conference on Local and Nonlocal Nonlinear Partial Differential Equations, NYU at Shanghai, China, 2015-04-24, "Regularity theory for non local operators".

- Conference on PDEs and Free Boundary Problems, University of Pittsburgh, 2015-03-12, "Global weak solutions to the inviscid 3d quasi-geostrophic equation".

- PDE seminar, Princeton University, 2015-02-26, "Global weak solutions to the inviscid 3d quasi-geostrophic equation".

- X Americas conference on Differential Equations, Buenos Aires, Argentina, 2015-02-19, "Regularity theory for non local operators".

- Particle Systems and PDE's - III, University of Minho, Braga, Portugal, 2014-12-19, "Study of shocks via entropy methods".

- Conference "Revisiting decades of conservation laws", Valpré, Lyon, France, 2014-10-5, "Shocks and layers in compressible fluid mechanics".

- PDE seminar, University of Houston, 2014-09-12, "Shocks and layers in compressible fluid mechanics".

- PDE seminar, Chung-Ang University, Seoul, South Korea, 2014-07-30, "Shocks and Layers".

- Lecture, National Seoul University, South Korea, 2014-07-28, "The De Giorgi method applied to fluid mechanics".

- Seminar, Academia of Sciences of the Czech Republic, Prague, Czech Republic, 2014-07-15 2014-07-18, "Shocks and Layers".

- CIMI Workshop, Toulouse, France, 2014-06-18, CIMI Workshop, Toulouse, France. New trends in modeling, control, and inverse problems. "Shocks and Layers". New trends in modeling, control, and inverse problems. "Shocks and Layers".

- Kinetics, non standard diffusions and stochastics: emerging challenges in the sciences, University of Texas at Austin, 2014-05-15, "De Giorgi regularity method applied to Hamilton Jacobi".

- Lecture, Chiao-Tung University, Taiwan, 2014-05-08, "Partial regularity for the Navier-Stokes equation and higher derivatives estimates." "Partial regularity for the Navier-Stokes equation and higher derivatives estimates."

- Analysis seminar, University of Chicago, 2014-04-09, "C alpha regularity for Hamilton-Jacobi equations".

- International Conference on Recent Advances in PDEs and Applications, Levico Terme, Italy, 2014-02-20, "Relative entropy, contraction of shock in $L^2$, and applications".

- UCLA Colloquium. UCLA, Los Angeles, CA. 2014-01-23, "The Stability of Shocks in Inviscid Compressible Flows and the Second Law of Thermodynamics".

- SIAM Minisymposium on New Developments with Entropic Solutions to Nonlinear Conservation Laws. 2014 joint mathematics meetings. Baltimore, MA. 2014-01-16, "Relative entropy, contraction of shock in L^2, and applications".

- SIAM Conference on Analysis of PDE, Lake Buena Vista, Florida, 2013-12-07 2013-12-10 , "Relative entropy and contraction to extremal shocks".

- Analysis seminar, Princeton University, 2013-12-02, "Regularity theory for a class of fully nonlinear integral operators".

- Red-Raider Mini-symposium, Aspects of Fluid Dynamics, Texas Tech University, Lubbock, TX, 10-25 10-27 2013, "Relative entropy applied to shocks for Conservation Laws and applications".

- Seminar, Capital Normal University, Beijing, China, September 25, 2013, "Stability of shocks for conservation laws".

- Lecture, Morningside center, Academia of Sciences of China, Beijing, China, September 16-27,2013, 'The De Giorgi method for elliptic and parabolic equations and applications'.

- Workshop "Recent Advances in PDEs and Fluids", Stanford University, August 5-18, 2013 ``Relative entropy, stability of shocks for conservation laws, and applications to asymptotic limits".

- Contributed talk at a special session of the 2013 SIAM annual meeting, July 8-12, 2013, ``Relative entropy, stability of shocks for conservation laws, and applications to asymptotic limits".

- PDE seminar, University of Nice, France, June 2013, ``Relative entropy, stability of shocks for conservation laws, and applications to asymptotic limits".

- Quantum Systems: A Mathematical Journey from Few to Many Particles, University of Maryland, May 13 - 16, 2013, ``Relative entropy, stability of shocks for conservation laws, and applications to asymptotic limits".

- Symposium on Blow-up vs. Regularity for Fluid Equations, City University of New York, May, 2nd, 2013, ``Relative entropy, stability of shocks for conservation laws, and applications to asymptotic limits".

- Spring Central Sectional Meeting Iowa State University, Ames, April 26th-28th, 2013, ``Relative entropy, stability of shocks for conservation laws, and applications to asymptotic limits".

- Workshop on Kinetic PDEs: Analysis and Computation, Iowa State University, April 25th - 26th, 2013, ``Relative entropy applied to the stability of shocks for fluid mechanics".

- Mathflows 2012, Porquerolles, France, October 21-26th, 2012, ``Relative entropy applied to the stability of shocks for fluid mechanics".

- Model reduction in continuum thermodynamics: Modeling, analysis and computation, Banff, Canada, September 16th- September 21st, 2012, ``Relative entropy applied to the stability of shocks for fluid mechanics".

- Partial differential equations in the social and life science: emergent challenges in modeling, analysis, and computations, Banff, Canada, March 31st- April 5th, 2012, ``Relative entropy applied to shocks for the compressible Euler equation".

- Mathematical Aspects of Hydrodynamics, MFO Oberwolfach (Germany), August 12th - August 18th, 2012, ``Relative entropy applied to shocks for the compressible Euler equation".

- Closing plenary lecture at the14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Padova (Italy), June 25-29, 2012, ``Relative entropy applied to shocks for the compressible Euler equation".

- Nonlocal Operators: Analysis, Probability, Geometry and Applications, Bielefeld (Germany), July 9th - 14th, 2012, ``Integral Variational Problems".

- Seminar at the University of Toulouse (France), June 19, ``Integral Variational Problems".

- 5th Symposium on Analysis and PDEs, Perdue University, May 20-23, 2012, ``Regularity theory for nonlocal variational problems".

- Workshop on Hyperbolic conservation laws and infinite-dimensional dynamical systems, University of Pittsburgh, March 30 - April 1, 2012. ``Relative entropy applied to shocks for the compressible Euler equation".

- Colloquium, University of Maryland, March 14th, ``De Giorgi methods applied to regularity issues in Fluid Mechanics".

- Symposium on 3D Euler equation and Navier-Sokes equation, City University of New York, October 27th, 2011, ``Drift diffusion equation with fractional diffusion and the Surface Quasigeostrophic equation".

- Hyperbolic Conservation laws and related analysis, ICMS Edinburgh (UK), ``L^2 Stability of shocks for conservation laws".

- oxPDE-Royal Society International Seminars, Entropy and Convexity for Nonlinear Partial Differential Equations 16-17 June 2011, Kavli Royal Society International Centre (UK), "Integral variational problems".

- Oxbridge PDE Days, Oxford University (UK), 26 and 27 April 2011, "Regularity theory for nonlinear integral operators".

- Conference in Honour of the 70th birthday of Prof. Bardos, University of Nice, 21-25 February 2011, "Relative entropy method applied to the stability of shocks for systems of conservation laws".

- Newton Institute seminar, Cambridge University (UK), September 7 2010, "Relative entropy method applied to the stability of shocks for systems of conservation laws".

- Partial Differential Equations in Kinetic Theories: Tutorials for Graduate Students, Cambridge University (UK), August 25-26 2010, "Regularity theory for non linear singular integral operators based on De Giorgi techniques".

- Partial Differential Equations & Fluid Mechanics 2010, University of Warwick (UK), 5th-9th July 2010, "Regularity of Solutions of Some Non Linear Integral Variational Problems".

- International Summer School on Mathematical Fluid Dynamics, Levico Terme, Italy, "The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics".

- Seminar, June 11 2010, Universite Pierre et Marie Curie (Paris 6), France, "Conservation laws, relative entropy, and shocks".

- Plenary lecture, Emerging Topics in Dynamical Systems and Partial Differential Equations, DSPDEs 10, June 1 2010, Barcelona, Spain, "Regularity of solution to a class of nonlinear integral operators".

- Workshop Nonlinear Analysis and PDEs, April 16 2010, Austin, Texas, "Conservation laws, relative entropy, and shocks".

- Seminar, February 24 2010, Stanford University, "Regularity theory for a family of nonlinear integral equations".

- Colloquium of the Center for Applied Mathematical Sciences, February 2 2010, University of Southern California, Los Angeles, "The partial regularity results for Navier-Stokes revisited".

- France-China summer institute on mathematics, January 6 2010, Morningside Institute, Beijing, China, "Estimates on higher derivatives for the Navier-Stokes equation".

- Seminar, December 2 2009, University of Houston, "Global regularity for a class of systems of reaction-diffusion equations".

- FRG annual meeting, Kinetic Description of Multiscale Phenomena, September 25 2009, University of Maryland, "Global regularity for a class of systems of reaction-diffusion equations".

- Workshop on Regularity problems in hydrodynamics, August 4 2009, PIMS Vancouver, Canada, "Estimates on higher derivatives for the Navier-Stokes equation".

- IMA Summer program on Conservation laws, July 29 2009, University of Minnesota, "Global regularity for a class of Reaction-Diffusion systems".

- Workshop on Mathematical Aspects of Hydrodynamics, July 20 2009, Oberwolfach, Germany, "Estimates on higher derivatives for the Navier-Stokes equation".

- Workshop on Applied Math, July 3 2009, Bilbao, Spain, "Estimates on higher derivatives for the Navier-Stokes equation".

- Conference on Kinetic equations, June 25 2009, Banff, Canada, "Global regularity for a class of Reaction-Diffusion systems".

- Seminar, June 9 2009, University of Pisa, Italy, "Estimates on higher derivatives for the Navier-Stokes equation".

- College de France, Paris, June 5 2009, "Recent Results in Fluid Mechanics".

- Lecture at the Kazov School on Fluid Mechanics (former Paseky School), Kazov, Czech Republic, 23-29 May 2009, "Application of De Giorgi methods to Fluid Mechanics".

- Riviere-Fabes Symposium, University of Minnesota, April 18 2009, "Recent Results in Fluid Mechanics".

- AIM Workshop on the 3D Euler and 2D SQG equations, Palo Alto, April 6 2009, "Global regularity for the SQG equation in the critical case".

- Minisymposium "non linear fluid equations" in the SIAM Conference on Nonlinear Waves and Coherent Structures (NW08), July 24 2008, Roma, "Higher derivatives estimates for the Navier-Stokes equation".

- Seminar, The Academy of Sciences of the Czech Republic, June 2008, "Higher derivatives estimates for the Navier-Stokes equation".

- Seminar, University of Chicago, March 5 2008, "Higher derivatives estimates for the Navier-Stokes equation".

- Seminar, UBC Vancouver Canada, January 9 2008, "A bound from below for the temperature in compressible Navier-Stokes equations".

- Minisymposium Kinetic Theory and Interacting Particle Systems, SIAM Conference on Analysis of Partial Differential Equations, Phoenix, December 10-12 2007, "Regularity Result for Drift-Diffusion Equations with Fractional Laplacian".

- Seminar, Georgia Tech, November 6 2007,"C^a regularity for the quasi-geostrophic equation in the critical case".

- Seminar, University of Maryland, October 30 2007, "C^a regularity for the quasi-geostrophic equation in the critical case".

- Special Session on Nonlinear Conservation Laws and Related Problems, AMS Meeting, Chicago, October 5-6 2007, "A bound from below for the temperature in compressible Navier-Stokes equations".

- Seminar, Technische Universitat (Vienna, Austria), June 5 2007, "C^a regularity for the quasi-geostrophic equation in the critical case".

- Seminar, Academy of Sciences of the Czech Republic (Prague, Czech Republic), May 23 2007, "A bound by below for the temperature for Navier-Stokes".

- Seminar, University of Chicago, April 11 2007, "C^a regularity for the quasi-geostrophic equation in the critical case".

- Seminar, College Station, February 14 2007, "A new proof of partial regularity for Navier-Stokes equations".