Research talks
On the first eigenvalue of the Laplacian for polygons
CONF-CIAP, 3/23.
On the first eigenvalue of the Laplacian for polygons
Hunan University, 12/22.
On the first eigenvalue of the Laplacian for polygons
National University of Singapore, 3/22.
The nontransversal intersection conjecture for the fully nonlinear obstacle problem
SIAM PDE Conference, 3/22.
On the equilibrium shape of a crystal
Virginia Commonwealth University, 2/22.
The equilibrium shape of a planar crystal in a convex background
The 4th Geometric Analysis Festival, 11/21.
The equilibrium shape of a planar crystal in a convex coercive background is convex
Webinario, PPG-Mat-UFRGS, 3/31/21.
The equilibrium shape of a planar crystal in a convex coercive background is convex
PDE Seminar, Purdue University, 11/5/20.
The sharp relative isoperimetric inequality inside convex cones
PDE Seminar, Purdue University, 11/14/19.
The geometry of the free boundary near the fixed boundary generated by a fully nonlinear uniformly elliptic operator
Dynamics, Equations Applications, Krakow, AGH University of Science and Technology, 9/19/19.
The geometry of the free boundary near the fixed boundary generated by a fully nonlinear uniformly elliptic operator
Center for Nonlinear Studies, Los Alamos National Laboratory, 9/9/19.
The geometry of the free boundary near the fixed boundary generated by a fully nonlinear uniformly elliptic operator
Workshop on Monge-Ampere Equations, Kiama, 8/19/19.
The geometry of the free boundary near the fixed boundary generated by a fully nonlinear uniformly elliptic operator
Minisymposium ``Qualitative properties of solutions to Elliptic and Parabolic PDEs and related topics”, International Conference on Elliptic and Parabolic Problems, Gaeta, 5/23/19.
The geometry of the free boundary generated by a fully nonlinear uniformly elliptic operator
PDE Seminar, Purdue University, 1/24/19.
The geometry of the free boundary near the fixed boundary generated by a fully nonlinear uniformly elliptic operator
Analysis and PDE Seminar, Johns Hopkins University, 11/5/18.
The geometry of the free boundary near the fixed boundary generated by a fully nonlinear uniformly elliptic operator
12th AIMS Conference, Taipei, 7/6/18.
The geometry of the free boundary near the fixed boundary generated by a fully nonlinear uniformly elliptic operator
AMS Meeting: SS Harmonic analysis and partial differential equations, Northeastern University, Boston, 4/21/18.
The geometry of the free boundary near the fixed boundary generated by a fully nonlinear uniformly elliptic operator
AMS Sectional Meeting: SS Analysis at the intersection of geometric measure theory and partial differential equations, Portland State University, 4/14/18.
Dynamics of uniformly elliptic free boundary problems in higher dimensions
AMS Central Sectional Meeting: SS Nonlinear elliptic and parabolic partial differential equations and their various applications, Indiana University, 4/2/17.
The tangential touch problem for fully nonlinear elliptic operators
Oberseminar Analysis, Rheinische Friedrich-Wilhelms-Universität Bonn, 11/17/16.
Quantitative logarithmic Sobolev inequalities
Probability Seminar, Purdue University, 10/18/16.
Regularity of solutions in semilinear elliptic theory
Midwest PDE, Loyola University, 10/16/16.
Regularity of solutions in semilinear elliptic theory
Analysis Seminar, University of Minnesota, 10/12/16.
Regularity of solutions in semilinear elliptic theory
PDE Seminar, Purdue University, 9/22/16.
Quantitative logarithmic Sobolev inequalities
Hausdorff Institute of Mathematics, Bonn, 8/31/16.
The tangential touch problem for fully nonlinear elliptic operators
Colloquium, Purdue University, 1/26/16.
The tangential touch problem for fully nonlinear elliptic operators
Partial Differential Equations Seminar, University of Oxford, 10/19/15.
Regularity of shadows and the singular set associated to a Monge-Ampere equation
Analysis and PDE Seminar, University of Sussex, 10/5/15.
The tangential touch problem for fully nonlinear elliptic operators
Max Planck Institute for Mathematics in the Sciences, Leipzig, 7/10/15.
Stability estimates for the log-Sobolev ineqality
Information Theory and Concentration Phenomena, IMA, University of Minnesota, 4/15/15.
A sharp quantitative polygonal isoperimetric inequality
Rheinische Friedrich-Wilhelms-Universität Bonn, 2/5/15.
Stability estimates for the log-Sobolev inequality
Entropy and singular solutions for conservation laws: pressureless gas dynamics and other applications conference, West Virginia University, 9/26/14.
A sharp quantitative isoperimetric inequality inside convex cones
Le séminarie d’Analyse Fonctionnelle, Université Pierre et Marie Curie, 6/12/14.
The regularity theory for the free boundary arising in the optimal partial transport problem
Groupe de travail Courbure, transport optimal, et probabilités, Institut Henri Poincaré, 6/5/14.
Fully nonlinear elliptic and parabolic free boundary problems
Analysis Seminar, West Virginia University, 4/24/14.
A sharp quantitative log-Sobolev inequality
Young European Probabilists XI, Technische Universiteit Eindhoven, 3/12/14.
A sharp quantitative log-Sobolev inequality
Analysis Seminar, University of Pennsylvania, 2/25/14.
Regularity of shadows and the singular set associated to a Monge-Ampere equation
CNA Seminar, Carnegie Mellon University, 2/11/14.
A sharp quantitative log-Sobolev inequality
Mathematical Physics Seminar, California Institute of Technology, 1/29/14.
Regularity of shadows and the singular set associated to a Monge-Ampere equation
Postdoc Seminar, Mathematical Sciences Research Institute, Berkeley, 12/6/13.
Regularity of shadows and the singular set associated to a Monge-Ampere equation
Geometry Seminar, Stanford University, 11/18/13.
Optimal regularity for the shadow boundary generated by parallel illumination
Analysis Seminar, The University of Auckland, 8/1/13.
Stability for the log-Sobolev inequality
Partial Differential Equations and Analysis Seminar, The Australian National University, 6/18/13.
Optimal transport, free boundary regularity, and stability results for geometric and functional inequalities
Analysis Seminar, The University of Texas at Austin, 11/26/12.
Free boundary regularity for the optimal partial transport problem
Transport, Flows and Applications Workshop, The Australian National University, 7/17/12.
Stability for the relative isoperimetric inequality inside an open, convex cone
Math Physics Seminar, Georgia Institute of Technology, 4/30/12.
Optimal transport and quantitative isoperimetric inequalities
Analysis Seminar, The University of Texas at Austin, 1/27/10.
Talks aimed at high school, undergraduate, and graduate students
Regularity of shadows
Bridge to Research Seminar, Purdue University, 9/30/19.
Stability for the polygonal isoperimetric inequality
Bridge to Research Seminar, Purdue University, 9/24/18.
Regularity of shadows and the singular set associated to a Monge-Ampere equation
Student Harmonic Analysis and PDE seminar, UC Berkeley, 11/19/13.
Solving polynomial equations with circulant matrix theory
Berkeley Math Circle, UC Berkeley, 11/5/13.
Free boundary regularity for the optimal partial transport problem
6th Annual Graduate Student Probability Conference, Georgia Tech, 4/27/12.
Stability of soap bubbles
Undergraduate Math Club, UT Austin, 10/24/11.
Stability for the relative isoperimetric inequality inside convex cones
5th Annual Graduate Student Probability Conference, Georgia Tech, 5/1/11.
Ellipsoids of minimum volume
Jr. Analysis Seminar, UT Austin, 2/18/11.
A variant of the Monge-Kantorovich problem
Jr. Analysis Seminar, UT Austin, 9/24/10.
The sharp Sobolev inequality
Jr. Analysis Seminar, UT Austin, 4/12/10.
The Monge-Kantorovich problem
Jr. Math Finance / Probability Seminar, UT Austin, 12/11/09.
The DeGiorgi-Nash-Moser theorem
Jr. Analysis Seminar, UT Austin, 9/14/09.
The Thomas-Fermi problem
Jr. Analysis Seminar, UT Austin, 4/6/09.
An investigation of really simple functions
Sophex Seminar, UT Austin, 2/22/08.
A survey of the Collatz conjecture
Sophex Seminar, UT Austin, 9/21/07.