Nam Le


Mathematics Department
Columbia University
2990 Broadway, MC 4417
New York, NY 10027

Office: Room 423
Phone: (212) 854-4306
Email: namle at math dot columbia dot edu

I am a Ritt Assistant Professor in the department of mathematics at Columbia University.
I received my Ph.D. from New York University in 2008 under the supervision of Professor Sylvia Serfaty .

My mathematical interests are Partial Differential Equations, Geometric Analysis and the Calculus of Variations . Specifically, I have been studying the Linearized Monge-Ampere equation, the Mean Curvature Flow, and Gamma-convergence and its applications in Mathematical Physics.

Teaching

Spring 2011:
Spring 2010:

Publications

1.  N. Q. Le, ``A Gamma-Convergence Approach to the Cahn-Hilliard Equation'', Calc. Var. Partial Differential Equations. 32 (2008), no. 4, 499--522 .pdf file

2.  N. Q. Le, Regularity and Non-existence Results for Some Free-interface Problems Related to Ginzburg-Landau Vortices, Interfaces Free Bound. 11 (2009), no. 1, 139--152.pdf file

3.  G. A. Francfort, N. Q. Le and S. Serfaty, Critical Points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case, ESAIM Control Optim. Calc. Var. 15 (2009), no. 3, 576--598 .pdf file

4.  N. Q. Le, Convergence results for critical points of the one-dimensional Ambrosio-Tortorelli functional with fidelity term, Adv. Differential Equations. 15 (2010), no. 3-4, 255-282 .pdf file

5 .  N. Q. Le, On the convergence of the Ohta-Kawasaki Equation to motion by nonlocal Mullins-Sekerka Law, SIAM. J. Math. Analysis. 42 (2010), no. 4, 1602--1638 .pdf file

6 .  N. Q. Le, N. Sesum, The mean curvature at the first singular time of the mean curvature flow, Ann. Inst. H. Poincare Anal. Non Lineaire. 27 (2010), no. 6, 1441--1459. .pdf file

7 .  N. Q. Le, N. Sesum, On the extension of the mean curvature flow, Math. Z. 267 (2011), no. 3--4, 583--604 .pdf file

8 .  N. Q. Le, Blow up of subcritical quantities at the first singular time of the mean curvature flow, Geom. Dedicata, 151 (2011), no. 1, 361--371 .pdf file

9 .  N. Q. Le, N. Sesum, Blow-up rate of the mean curvature during the mean curvature flow and a gap theorem for self-shrinkers, Comm. Anal. Geom, 19 (2011), no. 4, 1-27 .pdf file

10 .  N. Q. Le, On the second inner variation of the Allen-Cahn functional and its applications, to appear in Indiana Univ. Math. J .pdf file

11 .  N. Q. Le, N. Sesum, Remarks on curvature behavior at the first singular time of the Ricci flow, to appear in Pacific J. Math .pdf file

12 .  N. Q. Le, O. Savin, Boundary regularity for solutions to the linearized Monge-Ampere equations, arXiv:1109.5677v1 [math.AP] .pdf file

13 .  N. Q. Le, O. Savin, Some minimization problems in the class of convex functions with prescribed determinant, arXiv:1109.5676v1 [math.AP] .pdf file

Publications before entering graduate school:

1. D. D. Trong, N. L. Luc, L. Q. Nam and T. T. Tuyen, Reconstruction of $H^{p}$-functions: Best Approximation, Regularization and Optimal Error Estimates, Complex Var. Theory Appl. 49 (2004), no. 4, 285--301. pdf file

2. D. M. Duc, N. L. Luc, L. Q. Nam and T. T. Tuyen, Multiple Solutions for a Nonlinear Singular Dirichlet Problem, Abstract and applied analysis, 51--63, World Sci. Publishing, River Edge, NJ, 2004.

3. D. M. Duc, N. L. Luc, L. Q. Nam and T. T. Tuyen, On Topological Degree for Potential Operators of Class (S)+ , Nonlinear Anal., 55 (2003), no. 7-8, 951--968. pdf file

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