CV1.html

Professor David Kinderlehrer (my Ph.D. advisor) and myself
(Carnegie Mellon, Summer 2005)

Education:

   2002-2005     Doctor of Philosophy in Mathematical Sciences (May 2005), Carnegie Mellon University, Pittsburgh, USA.
   2000-2002 Master of Science in Mathematical Sciences, Carnegie Mellon University.
   1996-1997     Master of Science in Applied Mathematics, University of Craiova, Romania and Complutense University, Madrid, Spain.
                          Dissertation written under the supervision of Professor C. P. Niculescu and Professor E. Zuazua.
   1991-1996     Bachelor of Science in Mathematics, University of Craiova, Romania.

Research interests:

    In general:       Partial Differential Equations, Methods in the Calculus of Variations, Fluid Dynamics.
    In particular:    Pressureless Gas Dynamics, Monge-Kantorovich Optimal Mass Transportation Theory and Applications to PDE's and Calculus of Variations, Fourth-order degenerate parabolic
                            PDE's for thin films.

Thesis title: ``Optimal Mass Transportation Methods for Gradient Flows in the Weak Topology"
Thesis advisor: Professor David Kinderlehrer.

Research Articles

Lagrangian Dynamics on an infinite dimensional torus; a Weak KAM theorem (with W. Gangbo), submitted, 2009.

On the velocities of flows consisting of cyclically monotone maps , Indiana University Mathematics J., to appear, 2009.

Hamilton-Jacobi equations in the Wasserstein space (with W. Gangbo & T. Nguyen), Methods and Applications of Analysis (in honour of N. Trudinger),Vol. 15, No.2 (2008), 155--184.

Pressureless Euler/Euler-Poisson systems via adhesion dynamics and scalar conservation laws, (with T. Nguyen), SIAM J. on Mathematical Analysis , Vol. 40, No. 2 (2008), 754--775.

Lubrication approximation for thin viscous films: asymptotic behavior of nonnegative solutions, Communications in Partial Differential Equations, Vol. 32, No. 7 (2007), 1147--1172.

Euler-Poisson systems as action-minimizing paths in the Wasserstein space (with W. Gangbo & T. Nguyen), Archive for Rational Mechanics and Analysis, Vol. 192, No. 3 (2009),419--452.

On the JKO variational scheme and constrained optimization in the Wasserstein metric, Calculus of Variations and Partial Differential Equations, Vol. 32, No. 2 (2008), 155--173.

Wasserstein kernels for one-dimensional diffusion problems, Nonlinear Analysis, Vol. 67, No. 9 (2007), 2553--2572.

Transport via mass transportation (with D. Kinderlehrer), Discrete and Continuous Dynamical Systems B, Vol. 6, No. 2 (2006), 311--338.

Variational principle for general diffusion problems (with L. Petrelli; revised), Applied Mathematics and Optimization, Vol. 50, No. 3 (2004), 229--257.

One-phase Stefan problems; a mass transfer approach, Advances in Mathematical Sciences and Applications, Vol. 14, No. 1 (2004), 151--185.

Work in progress:

    ``Decay to zero for strong solutions of the thin-film equation on the line'' (with E. Carlen)
    ``Homogenization for Hamilton-Jacobi equations in the Wasserstein space" (with W. Gangbo)
    ``Lagrangian solutions for the semi-geostrophic system with variable rotation rate" (with M. Feldman)

Talks and participation in Conferences, Workshops and Seminars:

March 2009, invited speaker, Mathemaitcs Colloquium, West Virginia University, Morgantown, WV.
February 2009, invited speaker, PDE Seminar, University of Florida, Gainesville, FL.
February 2009, invited speaker, Mathematics Colloquium, University of Florida, Gainesville, FL.
February 2009, invited speaker, Geometric Analysis/PDE Seminar, UW-Madison, WI
February 2009, invited co-author, Nice Weak KAM Methods in Nice, Nice, France.
April 2008, invited speaker, Optimal Transport in Geometry and Calculus of Variations (IPAM), UCLA, CA.
February 2008, invited speaker, Analysis Colloquium, Michigan State University, MI.
January 2008, invited speaker, Analysis Colloquium, North Carolina State University, Raleigh, NC.
December 2007, invited speaker, SIAM Conference on Analysis of Partial Differential Equations (PD07), Mesa, AZ.
November 2007, invited speaker, PDE Seminar, University of Wisconsin, Madison, WI.
September 2007, invited speaker, PDE Seminar, Georgia Institute of Technology, Atlanta, GA.
July 2007, invited speaker, Topics in Nonlinear PDE's, CIM/UC Summer School, University of Coimbra, Portugal.
July 2007, invited speaker, Optimal Transportation, and Applications to Geophysics and Geometry, ICMS, Edinburgh, UK.
May-June 2007, minicourse lecturer, Optimal Mass Transportation and Euler/Euler-Poisson Systems, University of Craiova, Romania.
January, 2007, invited speaker, Analysis Colloquium, University of Pittsburgh, Pittsburgh.
January, 2007, speaker, Joint Mathematical Meetings, New Orleans.
October, 2006, invited speaker, Conference on Applied Analysis on the Occasion of the 65th Birthday of David Kinderlehrer, CNA, Carnegie Mellon University.
April, 2006, invited speaker, Geometry-Analysis Seminar, Rice University, Houston, TX.
April, 2006, invited speaker, Analysis and Differential Geometry Seminar, Emory University, Atlanta, GA.
November, 2005, invited speaker, MSRI Workshop on Optimal Mass Transportation and its Applications, MSRI, University of California at Berkeley, CA.
October, 2005, invited participant, CNA Workshop on the Calculus of Variations in 2005, CNA, Carnegie Mellon University.
October, 2005, invited speaker, CDSNS Seminar, Georgia Institute of Technology, Atlanta, GA.
September, 2005, speaker, Frontiers of Applied Analysis, Carnegie Mellon University.
September, 2005, invited speaker, PDE Seminar, Georgia Institute of Technology, Atlanta, GA.
January, 2005, speaker, Pan-American Advanced Studies Institute (PASI 2005), Santiago, Chile.
December, 2004, speaker, SIAM Conference on Analysis of PDE's, Houston, TX.
June, 2004, speaker, Conference in honour of H. Brezis, Laboratoire Jacques-Louis Lions, Paris, Fr.
May-June, 2004, participant, CNA Summer School, CNA, Carnegie Mellon University, Pittsburgh, PA.
November, 2003, participant, Workshop on Multi-Dimensional Euler Equations and Conservation Laws , University of Pittsburgh, Pittsburgh, PA.
August, 2003, invited participant, Optimal Transportation and Nonlinear Dynamics Workshop, PIMS, Vancouver, CA.
May- June, 2003, speaker, Advanced Nonlinear Analysis , CNA, Carnegie Mellon University, Pittsburgh, PA.

Honors and Awards :

1997 : Tempus scholarship (European Program), Complutense University, Madrid, Spain.
1991-1996 : Honor scholarship, University of Craiova, Craiova, Romania.

Teaching experience:

    2009 Spring:              Applied Mathematical Analysis (UW-Madison);
                                       Calculus for business (UW-Madison);
2008 Fall:                  Introduction to Modern Algebra (UW-Madison);
    2008 Spring:             Calculus II, Linear Algebra (GaTech);
    2007 Spring, Fall:     Calculus I (GaTech);
    2006 Spring, Fall:     Calculus II, Linear Algebra (GaTech);
    2005 Fall:                  Calculus I, Differential Equations (GaTech);
    2004 Fall:                  Differential and Integral Calculus (TA-CMU);
2004 Summer:           Differential Equations (Instructor-CMU);
    2003 Summer:           Calculus in Three Dimensions (Instructor-CMU);
    2003 Spring:              Multivariate Analysis and Calculus of Approximations (TA-CMU);
    2002 Summer:           Multivariate Analysis and Calculus of Approximations (Instructor-CMU);
    2001 Fall:                  Calculus in Three Dimensions (TA-CMU);
    2000 Fall:                  Differential Equations (TA-CMU).

Work Experience:

2008-present Van Vleck Assistant Professor, University of Wisconsin-Madison, Madison, WI.

2005-2008 Visiting Assistant Professor, Georgia Institute of Technology, Atlanta, GA.

2000-2005 Teaching Assistant, Carnegie Mellon University, Pittsburgh, PA.

1997-1999 Assistant Lecturer, University of Craiova, Romania.

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