Nam Q. Le

Contact Indiana University, Bloomington Tel: (1) 812-855-8538 (office) Information Department of Mathematics Fax: 812-855-0046 Rawles Hall 432 Email: [email protected] 831 E 3rd St, Bloomington, IN 47405 https://nqle.pages.iu.edu/

Research Partial Differential Equations, the Calculus of Variations, Geometric Analysis Interests Education Courant Institute of Mathematical Sciences, Ph.D in Mathematics, September 2008; M.S. in Mathematics, May 2006 • Dissertation: Analysis of Several Sharp-interface Limits in Variational Problems • Advisor: Professor Sylvia Serfaty

Vietnam National University at Hochiminh City B.S. in Mathematics, 2002 • Valedictorian

Academic 2018- Associate Professor of Mathematics, Department of Mathematics, In- Appointments diana University at Bloomington, Indiana, USA 2014-2018 Vaclav Hlavaty Assistant Professor of Mathematics, Department of Mathematics, Indiana University at Bloomington, IN, USA 2013-2014 Researcher, Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam 2013-2013 Senior Researcher, the Vietnam Institute for Advanced Study in Math- ematics, Hanoi, Vietnam 2008-2013 Ritt Assistant Professor, Department of Mathematics, Columbia Uni- versity, New York, NY, USA (on leave 07/2011-06/2012) 2011- 2012 Assistant Professor of Mathematics, Tan Tao University, Vietnam 2002- 2004 Instructor, Vietnam National University at Hochiminh City

Visiting positions 2016 Visiting Associate Professor, Tokyo Institute of Technology, from Oc- tober 01, 2016 to October 31, 2016. 2012 Visiting Fellow, Mathematical Sciences Institute, Australian National University from January 10, 2012 to February 20, 2012.

Honors and June 2018 Work with Ovidiu Savin, published in Inventiones, was included in a Awards Bourbaki Seminar on the Monge-Amp`ereequation by Alessio Figalli 2018 Trustees’ Teaching Award, Indiana University Bloomington 2018 Outstanding Junior Faculty Award, Indiana University Bloomington 2013 Scientific Prize of the Institute of Mathematics, Vietnam Academy of Science and Technology 2006 Harold Grad Memorial Prize, Courant Institute, New York University 2005–2008 Henry MacCracken Fellowship, New York University 2004-2008 Vietnam Education Foundation Fellowship 2002 Valedictorian, Vietnam National University at Hochiminh City 1997 Gold Medal, Asian Pacific Mathematics Olympiad

Editorial Boards 05/2020– Indiana University Mathematics Journal (IUMJ), Editor

Curriculum Vitae, Nam Q. Le, May 2021, 1 Grants 2021 NSF Grant DMS-2054686 ($178,120), Partial Differential Equations with and without Convexity Constraints, 2021-2024 2018 NSF Grant DMS-1764248 ($168,820), Regularity Estimates for the Lin- earized Monge-Amp`ere and Degenerate Monge-Amp`ere Equations and Applications in Nonlinear Partial Differential Equations, 2018-2021 2015 NSF Grant DMS-1500400 ($150,000), The linearized Monge-Amp`ere equation and applications in nonlinear, geometric partial differential equations, 2015-2018 2015 Indiana University Summer Faculty Fellowship ($8000) 2010 NSF Travel grant ($3050) to ICM-2010, Hyderabad, India.

Book 29. N. Q. Le, H. Mitake and H. V. Tran, Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Amp`ere Equations, Lecture Notes in Math- ematics, vol. 2183, Springer, Cham, 2017, vii + 228.

Publications 1. 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.

2. D. D. Trong, N. L. Luc, L. Q. Nam and T. T. Tuyen, Reconstruction of Hp- functions: Best Approximation, Regularization and Optimal Error Estimates, Complex Var. Theory Appl. 49 (2004), no. 4, 285–301.

3. 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.

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

5. 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.

6. 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.

7. 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.

8. 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.

9. N. Q. Le and 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.

10. N. Q. Le and N. Sesum, On the extension of the mean curvature flow, Math. Z. 267 (2011), no. 3–4, 583–604.

11. 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.

12. N. Q. Le and 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),

Curriculum Vitae, Nam Q. Le, May 2021, 2 no. 4, 633–659.

13. N. Q. Le, On the second inner variation of the Allen-Cahn functional and its applications, Indiana Univ. Math. J. 60 (2011), no. 6, 1843–1856.

14. N. Q. Le and N. Sesum, Remarks on the curvature behavior at the first singular time of the Ricci flow, Pacific J. Math. 255 (2012), no. 1, 155–175.

15. N. Q. Le and T. Nguyen, Geometric properties of boundary sections of solutions to the Monge–Amp`ereequation and applications, J. Funct. Anal. 264 (2013), no. 1, 337–361.

16. N. Q. Le, Global second derivative estimates for the second boundary value problem of the prescribed affine mean curvature and Abreu’s equations, Int Math Res Notices 11 2013 (2013), 2421–2438.

17. N. Q. Le and O. Savin, Boundary regularity for solutions to the linearized Monge- Amp`ereequations, Arch. Ration. Mech. Anal. 210 (2013), no. 3, 813–836.

18. N. Q. Le and O. Savin, Some minimization problems in the class of convex functions with prescribed determinant, Anal. PDE. 6 (2013), no. 5, 1025–1050.

19. N. Q. Le and T. Nguyen, Global W 2,p estimates for solutions to the linearized Monge–Amp`ereequations, Math. Ann. 358 (2014), no. 3-4, 629–700.

20. N. Q. Le and O. Savin, On boundary H¨oldergradient estimates for solutions to the linearized Monge-Amp`ereequations, Proc. Amer. Math. Soc. 143 (2015), no. 4, 1605–1615.

21. N. Q. Le, On the second inner variations of Allen-Cahn type energies and appli- cations to local minimizers, J. Math. Pures Appl. 103 (2015), no. 6, 1317-1345.

22. N. Q. Le, W 4,p solution to the second boundary value problem of the prescribed affine mean curvature and Abreu’s equations, J. Differential Equations. 260 (2016), no. 5, 4285–4300.

23. N. Q. Le, Remarks on the Green’s function of the linearized Monge-Amp`ere operator, Manuscripta Math. 149 (2016), no. 1, 45–62.

24. N. Q. Le, The second boundary value problem of the prescribed affine mean curvature equation and related linearized Monge-Amp`ereequation, Lecture Notes in Mathematics, Springer, Cham, 2017, vol. 2183, pp. 1–123.

25. N. Q. Le and O. Savin, Schauder estimates for degenerate Monge-Amp`ereequa- tions and smoothness of the eigenfunctions, Invent. Math. 207 (2017), no. 1, 389–423.

26. N. Q. Le, On optimal H¨olderregularity of solutions to the equation ∆u+b·∇u = 0 in two dimensions, C. R. Math. Acad. Sci. 355 (2017), no. 4, 439–446.

27. N. Q. Le, Boundary Harnack inequality for the linearized Monge-Amp`ereequa- tions and applications. Trans. Amer. Math. Soc. 369 (2017), no. 9, 6583–6611.

28. N. Q. Le and T. Nguyen, Global W 1,p estimates for solutions to the linearized

Curriculum Vitae, Nam Q. Le, May 2021, 3 Monge–Amp`ereequations. J. Geom. Anal. 27 (2017), no. 3, 1751-1788.

29. N. Q. Le, H. Mitake and H. V. Tran, Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Amp`ere Equations, Lecture Notes in Math- ematics, vol. 2183, Springer, Cham, 2017, vii + 228.

30. N. Q. Le, On the Harnack inequality for degenerate and singular elliptic equations with unbounded lower order terms via sliding paraboloids, Commun. Contemp. Math. 20 (2018), no.1, 1750012 (38 pages).

31. N. Q. Le, H¨olderregularity of the 2D dual semigeostrophic equations via analysis of linearized Monge-Amp`ereequations, Comm. Math. Phys. 360 (2018), no. 1, 271–305.

32. N. Q. Le, The eigenvalue problem for the Monge-Amp`ereoperator on general bounded convex domains, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 18 (2018), no. 4, 1519-1559.

33. N. Q. Le and P. Sternberg, Asymptotic Behavior of Allen-Cahn Type Energies and Neumann Eigenvalues via Inner Variations, Ann. Mat. Pura Appl. (4) 198 (2019), no. 4, 1257–1293.

34. N. Q. Le, Global H¨olderestimates for 2D linearized Monge–Amp`ereequations with right-hand side in divergence form, J. Math. Anal. Appl. 485 (2020), no. 2, 123865, 13pp.

35. N. Q. Le, Polynomial decay in W 2,ε estimates for viscosity supersolutions of fully nonlinear elliptic equations, Math. Res. Lett. 27 (2020), no. 1, 189-207.

36. N. Q. Le, Singular Abreu equations and minimizers of convex functionals with a convexity constraint, Comm. Pure Appl. Math. 73 (2020), no. 10, 2248-2283.

37. N. Q. Le, On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexity, Proc. Roy. Soc. Edinburgh Sect. A. 151 (2021), no. 1, 356-376.

38. N. Q. Le, On singular Abreu equations in higher dimensions, arXiv:1905.09696v3, Journal d’Analyse Math´ematique, to appear.

39. N. Q. Le, Uniqueness for a system of Monge-Amp`ereequations, arXiv:2001.02196v2, Methods Appl. Anal., to appear.

40. N. Q. Le and O. Savin, Global C2,α estimates for the Monge-Amp`ereequation on polygonal domains in the plane, arXiv:1910.03541, Amer. J. Math., to appear.

41. N. Q. Le and B. Zhou, Solvability of a class of singular fourth order equations of Monge-Amp`eretype, arXiv:2011.05262, Annals of PDE, to appear.

42. N. Q. Le, A spectral characterization and an approximation scheme for the Hessian eigenvalue, arXiv:2012.07670, preprint.

43. N. Q. Le, Optimal boundary regularity for some singular Monge-Amp`ereequa- tions on bounded convex domains, arXiv:2104.10056, preprint.

Curriculum Vitae, Nam Q. Le, May 2021, 4 Mentoring Mentoring Zorn Postdoctoral Fellow at Indiana University 1. Siao-Hao Guo (August 2017-May 2020) Position after IU: Tenure-track Assistant Professor at Taiwan National University Mentoring PhD students at Indiana University 1. Youngho Kim (Spring 2021-present)

Teaching at Spring 2021 M540, Partial Differential Equations (PDEs) 1 (Graduate Indiana course) (10 students) University Spring 2021 M311, Calculus 3 (26 students) Fall 2020 M541, PDEs 2 (Graduate course) (7 students) Spring 2020 M742, Selected Topics in Applied Mathematics 2 (Graduate course) (5 students) Spring 2020 M211, Calculus 1 (49 students) Spring 2019 M540, PDEs 1 (Graduate course) (9 students) Spring 2019 M211, Calculus 1 (42 students) Fall 2017 M541, PDEs 2 (Graduate course) (10 students) Fall 2017 M413, Introduction to Analysis 1 (12 students) Spring 2017 M312, Calculus 4 (15 students) Spring 2017 M311, Calculus 3 (25 students) Spring 2016 M742, Selected Topics in Applied Mathematics 2 (Graduate course) (7 students) Fall 2015 M441, PDEs with Applications 1 (17 students) Fall 2015 M311, Calculus 3 (28 students) Spring 2015 M542, Nonlinear PDEs (Graduate course) (6 students) Fall 2014 M541, PDEs 2 (Graduate course) (6 students)

Teaching at Spring 2013 Calculus III (2 sections: 78 students + 84 students) Columbia Fall 2012 Honors Complex Variables (21 students) University Spring 2011 Calculus III (2 sections: 96 students + 98 students) Fall 2010 Calculus III (97 students) Spring 2010 Calculus III (95 students) Spring 2010 Fourier Analysis (Graduate course) (12 students) Fall 2009 Calculus III (97 students) Spring 2009 Calculus I (2 sections: 35 students + 55 students) Fall 2008 Calculus I (59 students)

Teaching at Spring 2014 Partial Differential Equations (Graduate course) (8 students) Hanoi Institute of Mathematics Teaching at Fall 2011 The Monge-Amp`ere Equation and its Applications (Graduate Vietnam National course) (22 students) University Conference and 6. (with Khai T. Nguyen, Tuoc V. Phan and Hung V. Tran) Summer Meeting 2021, Mini Symposium virtually on Zoom, July 24-July 25, 2021. organized 5. (with Hung V. Tran) Seminar Expository Mathematics (Diˆengiai to´anho.c) (an on- line expository seminar in Vietnamese aiming at undergraduate students in Vietnam), 2020-present.

4. (with Connor Mooney) Special session “Analysis of Nonlinear Partial Differential Equations and Applications“, AMS Meeting at University of California, Riverside, California, November 9-10, 2019.

3. (with Mike Jolly, Peter Sternberg, Roger Temam, Shouhong Wang and Kevin Zum- brun) 83rd Midwest PDE seminar, Indiana University, Bloomington, March 2019.

Curriculum Vitae, Nam Q. Le, May 2021, 5 2. (with Peter Sternberg) Special session “Analysis of Variational Problems and Nonlin- ear Partial Differential Equations“, AMS Meeting at Indiana University, Bloomington, Indiana, April 1-2, 2017.

1. (with Jochen Denzler and Tuoc Phan) Mini-symposium “Current Trends and Phe- nomena in the Analysis of Nonlinear Partial Differential Equations”, SIAM SEAS 2013 Annual Meeting, Knoxville, Tennessee, March 22-24, 2013.

Mini courses 4. Mini-course “An introduction to the Monge-Amp`ereequation and its applications”, June 12-17, 2017, Faculty of Mathematics and Computer Sciences, Vietnam National University at Hochiminh City, Vietnam

3. Mini-course “The Monge-Amp`ereequation”, October 04-October 14, 2016, Depart- ment of Mathematics, Tokyo Institute of Technology, Tokyo, Japan.

2. Mini-course “From a classical theorem of J¨orgens,Calabi, and Pogorelov to the affine Bernstein problem”, July 01-August 31, 2013, Vietnam Institute for Advanced Study in Mathematics, Hanoi, Vietnam.

1. Mini-course “The linearized Monge-Amp`ereequation and its geometric applica- tions”, Workshop on Geometric Analysis and Nonlinear PDEs, May 1-5, 2013, Depart- ment of Mathematics, Rutgers University.

Invited 4. Oberwolfach workshop “Calculus of Variations”, Oberwolfach, Germany, August participant to 2-8, 2020. workshops 3. AIM workshop “Nonlinear PDEs in real and complex geometry”, San Jose, Califor- nia, August 13-17, 2018.

2. Banff workshop “Generated Jacobian Equations: from Geometric Optics to Eco- nomics”, Banff, Alberta, Canada, April 9-14, 2017.

1. CMC conference “Analysis, Geometry, and Optimal Transport”, Korean Institute of Advanced Study, Seoul, Korean, June 20-24, 2016.

Invited Talks 81. International Conference on Differential Equations and Applications, Hanoi, Viet- nam, August 4-8, 2021 (Plenary talk). Talk title: Meteorology, Economics, and the linearized Monge-Ampere equations.

80. CMS’s 75th Anniversary Summer Meeting, Ottawa, ON, Canada, June 4-7, 2021. Talk title: Approximating minimizers of the Rochet-Chon´efunctional with non-quadratic costs by solutions of singular Abreu equations.

79. Virtual Analysis and PDE Seminar (VAPS), May 13, 2021. Talk title: Solvability of a class of singular fourth order equations of Monge-Amp`ere type.

78. Colloquium, University of North Carolina, Charlotte, March 24, 2021. Talk title: Liouville type theorems for the Monge-Amp`ere equation.

77. PDE Focused Session in Korean Mathematical Society meeting, October 24, 2020. Talk title: Global C2,α estimates for the Monge-Amp`ere equation on polygonal domains in the plane.

76. Online Series Lectures of “Optimal Transportation Problems, PDEs and their Applications in Image Processing”, September 18, 2020. Talk title: Singular Abreu

Curriculum Vitae, Nam Q. Le, May 2021, 6 equations and minimizers of convex functionals with a convexity constraint.

75. PDE/Differential Geometry seminar, Ohio State University, November 12, 2019. Talk title: The Brunn-Minkowski inequality for the Monge-Ampere eigenvalue and smoothness of the eigenfunctions.

74. PDE seminar, University of Science and Technology of China, Hefei, Anhui, China, October 31, 2019. Talk title: Global C2,α estimates for the Monge-Amp`ere equation on polygonal domains in the plane.

73. Geometric Analysis seminar, Peking University, Beijing, China, October 23, 2019. Talk title: Global C2,α estimates for the Monge-Amp`ere equation on polygonal domains in the plane.

72. PDE seminar, School of Mathematics and Statistics, University of Sydney, Aus- tralia, August 26, 2019. Talk title: The Brunn-Minkowski inequality for the Monge- Ampere eigenvalue and smoothness of the eigenfunctions.

71. Workshop on Monge-Amp`ereequations, Kiama, New South Wales, Australia, August 19-23, 2019. Talk title: Singular Abreu equations and minimizers of convex functionals with a convexity constraint.

70. Colloquium, University of Cincinnati, April 25, 2019. Talk title: The Brunn- Minkowski inequality for the Monge-Ampere eigenvalue and smoothness of the eigen- functions.

69. Nonlinear PDE seminar, University of California, Irvine, March 15, 2019. Talk title: Singular Abreu equations and minimizers of convex functionals with a convexity constraint.

68. CAMP/Nonlinear PDE seminar, University of Chicago, Dec. 05, 2018. Talk title: Singular Abreu equations and minimizers of convex functionals with a convexity constraint.

67. 82th Midwest PDE seminar, Purdue University, October 27-28, 2018 (Plenary talk). Talk title: H¨olderregularity of the 2D dual semigeostrophic equations.

66. AMS Fall Central Sectional Meeting, University of Michigan, Ann Arbor, MI, Oct. 20-21, 2018. Talk title: H¨olderregularity of the 2D dual semigeostrophic equations.

65. Colloquium, Indiana University, September 07, 2018. Talk title: On the work of Alessio Figalli in Optimal Transport theory and Monge-Amp`ere equation.

64. Summer Meeting 2018, Vietnam National University at Hochiminh City, July 12- 13, 2018. Talk title: The Brunn-Minkowski inequality for the Monge-Amp`ere eigenvalue and boundary regularity of the eigenfunctions.

63. CMS Summer Meeting, University of New Brunswick at Fredericton, Canada, June 1-4, 2018. Talk title: H¨olderregularity of the 2D dual semigeostrophic equations.

62. PDE seminar, Purdue University, Mar. 29, 2018. Talk title: The Brunn-Minkowski inequality for the Monge-Amp`ere eigenvalue and boundary regularity of the eigenfunc- tions.

61. Differential Geometry - Mathematical Physics - Partial Differential Equations Seminar, University of British Columbia, Canada, Feb. 06, 2018. Talk Title: The

Curriculum Vitae, Nam Q. Le, May 2021, 7 Monge-Amp`ere eigenvalue problem, Brunn-Minkowski inequality and global smoothness of the eigenfunctions.

60. Differential Equations Seminar, Department of Mathematics, North Carolina State University, April 27, 2017. Talk title: The Monge-Amp`ere eigenvalue problem and global smoothness of the eigenfunctions.

59. Courant Institute Analysis Seminar, NYU, March 23, 2017. Talk title: The Monge- Amp`ere eigenvalue problem and global smoothness of the eigenfunctions.

58. PDE seminar, School of Mathematics, University of Minnesota, Twin Cities, Nov. 09, 2016. Talk title: Global smoothness of the Monge-Amp`ere eigenfunctions.

57. Hiroshima Mathematical Analysis Seminar, Hiroshima University, Japan, Oct. 21, 2016. Talk title: Global smoothness of the Monge-Amp`ere eigenfunctions.

56. PDE seminar, Department of Mathematics, Tokyo Institute of Technology, Tokyo, October 13, 2016. Talk title:Global smoothness of the Monge-Amp`ere eigenfunctions.

55. PDE Real Analysis Seminar, University of Tokyo, Tokyo, Japan, October 11, 2016. Talk title: Global solutions to the second boundary value problem of the prescribed affine mean curvature and Abreu’s equations.

54. Analysis and Applied Mathematics Seminar, Department of Mathematics, Uni- versity of Toronto, Toronto, Ontario Canada, September 23, 2016. Talk title: Global smoothness of the Monge-Amp`ere eigenfunctions.

53. Differential Equations Seminar, University of Tennessee, Knoxville, September 08, 2016. Talk title: Global smoothness of the Monge-Amp`ere eigenfunctions.

52. The 7th Pacific RIM conference in Mathematics 2016, Seoul National University, Korea, June 27-July 1, 2016. Talk title: Global smoothness of the Monge-Amp`ere eigenfunctions.

51. Felix Klein seminar, Department of Mathematics, University of Notre Dame, March 17, 2016. Talk title: Global smoothness of the Monge-Amp`ere eigenfunctions.

50. Analysis seminar, Department of Mathematics, Kansas State University, December 08, 2015. Talk title: Global solutions to the second boundary value problem of the prescribed affine mean curvature and Abreu’s equations.

49. PDE and Geometric analysis seminar, University of Wisconsin-Madison, November 23, 2015. Talk title: Global smoothness of the Monge-Amp`ere eigenfunctions.

48. AMS Fall Eastern Sectional Meeting Rutgers University, New Brunswick, NJ, Nov. 14-15, 2015. Talk title: Global smoothness of the Monge-Ampere eigenfunctions.

47. AMS Central Fall Sectional Meeting Loyola University Chicago, Chicago, IL Oc- tober 3-4, 2015. Talk title: Global smoothness of the Monge-Ampere eigenfunctions.

46. Geometric Analysis seminar, Department of Mathematics, University of Oregon, May 12, 2015. Talk title: Global smoothness of the Monge-Amp`ere eigenfunctions.

45. Center for Nonlinear Analysis seminar, Carnegie Mellon University, April 14, 2015. Talk title: Second inner variations of Allen-Cahn type energies and applications to local minimizers.

Curriculum Vitae, Nam Q. Le, May 2021, 8 44. AMS Spring Southeastern Sectional Meeting University of Alabama in Huntsville, Huntsville, AL March 27-29, 2015. Talk title: Global second derivative estimates for the second boundary value problem of the prescribed affine mean curvature equation.

43. Columbia University Geometry and Analysis Seminar, March 05, 2015. Talk title: The second boundary value problem of the prescribed affine mean curvature and Abreu’s equations.

42. PDE/Applied Math seminar, Department of Mathematics, Indiana University, Bloomington, October 20, 2014. Talk title: On the second inner variations of Allen- Cahn type energies and applications to local minimizers.

41. PDE/Applied Math seminar, Department of Mathematics, Indiana University, Bloomington, October 13, 2014. Talk title: Global second derivative estimates for the second boundary value problem of the prescribed affine mean curvature equation.

40. Geometric Analysis Seminar, Department of Mathematics, Rutgers University, New Brunswick, October 07, 2014. Talk title: Global second derivative estimates for the second boundary value problem of the prescribed affine mean curvature equation.

39. Workshop in Partial Differential Equations, Vietnam Institute for Advanced Study in Mathematics, Hanoi, July 18, 2014. Talk title: Global second derivative estimates for the second boundary value problem of the prescribed affine mean curvature equation.

38. Colloquium, Institute of Mathematics, Vietnam Academy of Science and Technol- ogy, April 18, 2014. Talk title: Phase transitions and Minimal surfaces.

37. Conference on Geometry and Topology of Singular Varieties: Theory and Appli- cations, Hanoi, December 11, 2013. Talk title: Blow-up rate of the mean curvature during the mean curvature flow.

36. Mini-workshop on Differential Equations and Applications, Vietnam Institute for Advanced Study in Mathematics, Hanoi, Vietnam, October 18, 2013. Talk title: Boundary regularity for the linearized Monge-Amp`ere equations and applications.

35. Differential Equations Seminar, Institute of Mathematics, Vietnam Academy of Science and Technology, (a series of 4 talks on Oct. 01, 22, 29, Nov. 11, 2013). Talk title: The linearized Monge-Amp`ere equation and its geometric applications.

34. Applied Mathematics Seminar, Department of Mathematics, Michigan State Uni- versity, April 05, 2013. Talk title: The linearized Monge-Amp`ere equation and its geometric applications.

33. Joint Analysis / Applied Math seminar, Department of Mathematics and Statistics, McGill University, Canada, March 20, 2013. Talk title: The linearized Monge-Amp`ere equation and its geometric applications.

32. Colloquium, Department of Mathematics, Vanderbilt University, January 08, 2013. Talk title: The linearized Monge-Amp`ere equation and its geometric applications.

31. Colloquium, Indiana University, Bloomington, Dec. 07, 2012. Talk title: The linearized Monge-Amp`ere equation and its geometric applications.

30. Colloquium, University of Wisconsin-Madison, Nov. 30, 2012. Talk title: Boundary regularity for solutions to the linearized Monge-Amp`ere equations and applications.

Curriculum Vitae, Nam Q. Le, May 2021, 9 29. Nonlinear Analysis Seminar, Rutgers University, New Brunswick, Nov. 13, 2012. Talk title: Boundary regularity for solutions to the linearized Monge-Amp`ere equations and applications.

28. ICST Seminar, Institute for Computational Science and Technology, Hochiminh City, June 28, 2012. Talk title: Bounding Morse index of minimal hypersurface in the van der Waals-Cahn-Hilliard gradient theory of phase transitions.

27. Colloquium, Vietnam National University at Hanoi, May 10, 2012. Talk title: Bounding Morse index of minimal hypersurface in the van der Waals-Cahn-Hilliard gradient theory of phase transitions.

26. Geometry – Topology Seminar, Institute of Mathematics, Vietnam Academy of Science and Technology, April 12, 2012. Talk title: Bounding Morse index of minimal hypersurface in the van der Waals-Cahn-Hilliard gradient theory of phase transitions.

25. The Japan-Vietnam conference on Topology of Singularities and Related Topics, III Dalat, Vietnam, March 26 - 30, 2012. Talk title: The nature of singularities for Type-I mean curvature flow.

24. PDE/Analysis seminar, Mathematical Sciences Institute, Australian National Uni- versity, February 07, 2012. Talk title: Boundary regularity for solutions to the linearized Monge-Amp`ere equations and applications.

23. IMIA seminar, Institute for Mathematics and its Applications, School of Math- ematics and Statistics, University of Wollongong, Australia, January 20, 2012. Talk title: The nature of singularities for Type-I mean curvature flow.

22. Plenary talk, the Vietnamese national conference on Algebra, Geometry and Topol- ogy (Dahito 2011), Thai Nguyen, Vietnam, November 3-5, 2011. Talk title: Regularity results for the mean curvature flow.

21. AMS Spring Eastern Sectional Meeting Worcester, MA, April 9-10, 2011. Talk title: Boundary regularity for minimizers of the Futaki invariant functional with constraints.

20. PDE Seminar, Brown University, Division of Applied Mathematics, March 18, 2011. Talk title: Boundary regularity for solutions to the linearized Monge-Ampere equations and application.

19. FRG Workshop. March 14-16, 2011, Princeton University. Talk title: Blow-up rate of the mean curvature during the mean curvature flow.

18. Colloquium, Department of Mathematics, Louisiana State University, February 04, 2011. Talk title: Regularity results for the mean curvature flow.

17. Colloquium, Department of Mathematical Sciences, Binghamton University, Jan- uary 17, 2011. Talk title: Regularity results for the mean curvature flow.

16. University of Connecticut, PDE and Differential Geometry Seminar, October 18, 2010. Talk title: Regularity results for the mean curvature flow.

15. D´epartement de Math´ematiques,Universit´eParis-Sud 11, France, September 01, 2010. Talk title: On the convergence of the Ohta-Kawasaki Equation to motion by nonlocal Mullins-Sekerka Law.

14. Differential Geometry Seminar, CUNY Graduate Center, May 11, 2010. Talk title:

Curriculum Vitae, Nam Q. Le, May 2021, 10 Optimal conditions for the extension of the Ricci flow and the mean curvature flow equations.

13. 35th Annual Spring Lecture Series, Minimal Surfaces and Mean Curvature Flow, University of Arkansas, April 15-17, 2010. Talk title: Blow up of subcritical quantities at the first singular time of the mean curvature flow.

12. Differential Geometry - Mathematical Physics - Partial Differential Equations Seminar, University of British Columbia, Canada, March 16, 2010. Talk Title: Optimal conditions for the extension of the mean curvature flow.

11. Sapporo Winter School 2010, Hokkaido University, Sapporo, Japan, February 17- February 19, 2010. Talk title: On the convergence of the Ohta-Kawasaki Equation to motion by nonlocal Mullins-Sekerka Law.

10. Princeton University, Differential Geometry and Geometric Analysis Seminar, Feb. 12, 2010. Talk title: Optimal conditions for the extension of the mean curvature flow.

9. Courant Institute Analysis Seminar, NYU, February 11, 2010. Talk title: Optimal conditions for the extension of the mean curvature flow.

8. University of Pennsylvania, Analysis Seminar, Feb. 09, 2010. Talk title: On the convergence of the Ohta-Kawasaki Equation to motion by nonlocal Mullins-Sekerka Law.

7. SIAM Conference on Analysis of Partial Differential Equations, December 07-10, 2009, Miami, Florida. Talk title: On the convergence of the Ohta-Kawasaki Equation to motion by nonlocal Mullins-Sekerka Law.

6. Texas Tech University, 9th Annual Red Raider Mini-Symposium: Non-linear Anal- ysis, PDEs and Applications, October 29 - 31, 2009. Talk title: On the convergence of the Ohta-Kawasaki Equation to motion by nonlocal Mullins-Sekerka Law

5. Columbia University Geometry and Analysis Seminar (October 16, 2008). Talk title: A gamma-convergence approach to the Cahn-Hilliard equation.

4. MIT PDE Seminar (April 16, 2008). Talk title: On the convergence of critical points of the Ambrosio-Tortorelli functional.

3. Graduate Student/Postdoc Seminar, Courant Institute, NYU (February 15, 2008). Talk title: Positivity of Limiting Vortices for the Ginzburg-Landau Equations

2. A Gamma-Convergence Approach to the Cahn-Hilliard Equation, SIAM Conference on Analysis of Partial Differential Equations, December 10-12, 2007, Mesa, Arizona.

1. A Gamma-Convergence Approach to the Cahn-Hilliard Equation, Materials Working Seminar, Courant Institute, NYU, November 19, 2007.

Synergistic Departmental committee in the Department of Mathematics, Indiana Uni- activities versity, Bloomington:

9. Distinguished Lectures Series Committee (chair, 2020-2021) 8. Teaching mentor for Julia Plavnik (Fall 2019), Iulia Demeter (Fall 2020), Ching Wei Ho (Spring 2021) 7. Salaries Committee (2018-2020)

Curriculum Vitae, Nam Q. Le, May 2021, 11 6. Coordinator of M211 (Spring 2019, Spring 2020) 5. Graduate Advisory Committee (S 2017, 2019, 2021; F 2017, 2018, 2020) 4. Library Committee (2016-2017) 3. Tier I Analysis Committee (Springs 2016, 2017, 2018, Fall 2020) 2. Colloquium/Distinguished Lectures Committee (2015-2016) 1. Pinic Committee (2014-2015)

PhD thesis defense committee (all at Indiana University, Bloomington, unless otherwise indicated):

9. Dominique Kemp (Advisor: Ciprian Demeter; May 05, 2021) 8. Mike Novack (Advisor: Peter Sternberg; April 29, 2019) 7. Zhao Yang (Advisor: Kevin Zumbrun; April 29, 2019) 6. Elina Andriyanova, Australian National University (Advisor: Xu-Jia Wang; thesis submitted: Oct, 2018) 5. Marco Hernandez (Advisor: Shouhong Wang; Oct. 22, 2018) 4. Andres Zu˜niga(Advisor: Peter Sternberg; May 03, 2018) 3. Raghav Venkatraman (Advisor: Peter Sternberg; April 12, 2018) 2. Rafael A. Monteiro (Advisor: Kevin Zumbrun; April 7, 2015) 1. Abby Shaw-Krauss, Columbia University, New York (Advisor: Michael Weinstein. Date of defense: January 15, 2010)

Tier 3 exam committee at Indiana University, Bloomington:

6. Zuyi Zhang (Chair: Paul Kirk; Sep. 23, 2020) 5. Adnan Cihan C¸akar (Chair: Peter Sternberg; Dec. 12, 2019) 4. Michael Novack (Chair: Peter Sternberg. Date: April 27, 2016) 3. Zhao Yang (Chair: Kevin Zumbrun. Date: Nov. 06, 2015) 2. Andres Zu˜niga(Chair: Peter Sternberg; May 14, 2015) 1. Raghav Venkatraman (Chair: Peter Sternberg; May 11, 2015)

Reviewer for Mathematical Reviews (reviewed 21 articles, as of August 2020)

NSF panelist: 2020

Reviewer for the Ta Quang Buu Prize of the Ministry of Science and Technology of Vietnam, 2017, 2020.

Referee for several journals including: Acta Mathematica, Advances in Mathemat- ics, Annales de l’Institut Henri Poincar´eAnalyse Non Lin´eaire, Annali di Matematica Pura ed Applicata, Annali della Scuola Normale Superiore di Pisa, Bulletin of the Lon- don Mathematical Society, Calculus of Variations and Partial Differential Equations, Communications in Contemporary Mathematics, Communications in Partial Differen- tial Equations, Communications on Pure and Applied Mathematics, Geometria Dedi- cata, International Mathematics Research Notices, Journal d’Analyse Math´ematique, Journal de Math´ematiquesPures et Appliqu´ees, Journal of Differential Equations, Journal of Functional Analysis, Journal of Geometric Analysis, Journal of Nonlin- ear Science, Journal of the European Mathematical Society, Mathematical Research Letters, Potential Analysis, Proceedings of the American Mathematical Society, Revista Matem´atica Iberoamericana, SIAM Journal on Mathematical Analysis, Studia Mathe- matica, Transactions of the American Mathematical Society.

Membership American Mathematical Society

Curriculum Vitae, Nam Q. Le, May 2021, 12