About me

I am a postdoc at the Einstein Institute of Mathematics. My mentors are Cy Maor and Raz Kupferman. Previously, I was a postdoc at IST Austria and at TU Dresden. My mentors were Julian Fischer and Stefan Neukamm. I obtained a Ph.D. from Courant Institute (New York University). My advisor was Bob Kohn, and I also conducted research supervised by Sylvia Serfaty. Before that, I obtained a Licenciatura (roughly equivalent to an M.S.) from UNAM in Mexico City, where I was born and grew up.

I am particularly curious about problems that have, on the one hand, a purely mathematical depth and complexity to them, but also a meaningful application in the natural world. I am fascinated by complex mathematical challenges that arise from seemingly simple models. So far I have worked both individually and in collaborations. My main field of research is Calculus of Variations with applications to Materials Science. Another important area in my research is Probability with applications to interacting particle systems. I am also open to thinking about problems in Applied Analysis in general.

Here is my CV

Personal Website of David Padilla-Garza

Publications and Preprints

Padilla‐Garza, D. (2015). Mecanica gravitacional en el espacio hiperbolico (senior thesis in Spanish)
Padilla‐Garza, D. (2020). An asymptotic variational problem modeling a thin elastic sheet on a liquid, lifted at one end. Mathematical Methods in the Applied Sciences, 43(8), 4956-4973. (Journal version)
Padilla-Garza, D. (2022). Dimension reduction through gamma convergence for general prestrained thin elastic sheets. Calculus of Variations and Partial Differential Equations, 61(5), 1-40. (Journal version)
Padilla-Garza, David. "Concentration inequality around the thermal equilibrium measure of Coulomb gases." Journal of Functional Analysis (2022): 109733. (Journal version)
Padilla-Garza, D. (2020). Large Deviation Principle for local empirical measure of Coulomb gases at intermediate temperature regime. arXiv preprint arXiv:2011.00480.
Cortes-Poza, Y., Padilla-Garza, D., & Padilla, P. (2021). New links between PDE's and Voronoi patterns. arXiv preprint arXiv:2111.04999.
Bartels, S., Griehl, M., Neukamm, S., Padilla-Garza, D., & Palus, C. (2023). A nonlinear bending theory for nematic LCE plates. Mathematical Models and Methods in Applied Sciences, 33(07), 1437-1516.
Böhnlein, K., Neukamm, S., Padilla-Garza, D., & Sander, O. (2022). A homogenized bending theory for prestrained plates. Journal of Nonlinear Science 33.1 (2023): 1-90. (Journal version)
Padilla-Garza, D. (2022). Large Deviations Principle for the tagged empirical field of a general interacting gas. arXiv preprint arXiv:2208.01516.
García-Zelada, D., & Padilla-Garza, D. (2022). Generalized transport inequalities and concentration bounds for Riesz-type gases. arXiv preprint arXiv:2209.00587.
Padilla-Garza, D. (2023). Asymptotes of macroscopic observables in Gibbs measures of general interacting particle systems. arXiv preprint arXiv:2309.00961.
Foghem, G., Padilla-Garza, D, & Schmidtchen, M. (2023). Gradient Flow Solutions For Porous Medium Equations with Nonlocal Lévy-type Pressure. arXiv preprint arXiv:2311.15340.
Padilla-Garza, D., Peilen, L., & Thoma, E. (2024). Emergence of a Poisson process in weakly interacting particle systems. arXiv preprint arXiv:2405.02625.

Conferences and seminars

2019, Applied Mathematics Symposium on "Advanced Materials", Kent, Ohio (simply attended)
2019 Workshop on Mathematical Models for Pattern Formation, Carnegie Mellon University
2019 Weekly Colloquium, Applied Math Institute in National Autonomous Mexican University
2019 Workshop on New Trends in Variational Models, Fields Institute, Canada
2019 KI-Net: Formation of small scales in nonlinear PDEs. Maryland, USA
2019 Simons Collaboration on Wave Turbulence, MIT. (simply attended)
2019 Simons Collaboration on Wave Turbulence, Courant Institute. (simply attended)
2020 Joint SIAM/CAIMS Annual Meeting. Virtual
2020 German Mathematical Society Annual Meeting. Virtual
2020 Applied Mathematics Seminar in Technische Universität Dresden
2021 FOR Workshop. Technische Universität Dresden
2021 Analysis Seminar in Heidelberg University
2021 Analysis and Applied Mathematics Seminar. University of Illinois at Chicago
2021 9th GAMM-Seminar on Analysis of Partial Differential Equations. University of Freiburg
2021 SIAM Conference on Mathematical Aspects of Materials Science
2021 SIAM Annual Meeting (simply attended)
2022 FOR Workshop, Technische Universität Dresden
2022 Workshop on Nonlinear Bending, Albert-Ludwigs-Universität Freiburg
2022 "PDEs for Surfaces and Interfaces" and "Mathematical Methods for Complex Phenomena". University of Regensburg
2022 SIAM Conference on Analysis of Partial Differential Equations
2022 Random Matrices and Beyond, A conference in celebration of Kurt Johansson's 60th birthday, KTH
2022 Point Configurations: Deformations and Rigidity, University College London
2022 Random Matrices and Random Landscapes, Conference in honor of Yan Fyodorov's 60th birthday, Congressi Stefano Franscini, Ascona, Switzerland
2022 GAMM Annual Meeting, RWTH Aachen University
2022 Seminario de Análisis y Geometría, Pontificia Universidad, Pontificia Universidad Católica de Chile
2022 Analysis and Applied Mathematics Seminar, the University of Illinois at Chicago
2022 Online Probability Seminar. University College London
2022 Coulomb Gases and Universality. Sorbonne Universite Paris (simply attended)
2023 GAMM Seminar on Microstructures. TU Wien
2023 Munich-Augsburg Analysis seminar. University of Augsburg
2023 93rd Annual GAMM Meeting. TU Dresden
2023 Geometric Trends in Applied Analysis. Mulhouse, France
2023 Langenbach Seminar, WIAS. Berlin, Germany
2023 Workshop: “Nonlinear PDEs: Recent Trends in the Analysis of Continuum Mechanics”. Hausdorff Center for Mathematics. Bonn, Germany.
2023 10th International Congress on Industrial and Applied Mathematics (ICIAM). Tokyo, Japan.
2023 PDE/Applied Math Seminar, Indiana University Bloomington. Indiana, USA.
2023 PDE and Analysis Seminar, Pittsburgh University. Pennsylvania, USA.
2023 CNA Seminar, Carnegie Mellon University. Pennsylvania, USA.
2024 23rd GAMM Seminar on Microstructures. Bochum, Germany.
2024 Analysis Seminar, Hebrew University of Jerusalem, Jerusalem, Israel
2024 Conference “Multi-scale methods for reactive flow and transport in complex elastic media Conference in memory of prof. Andro Mikeliċ”. Dubrovnik, Croatia.
2024 MATHPHYS ANALYSIS SEMINAR, ISTA, Austria
2024 SIAM Conference on Mathematical Aspects of Materials Science (MS 24), Pittsburgh, PA, USA
2024 Special Probability Seminar, CIMAT, Guanajuato, Mexico
2024 Conference on Calculus of Variations in Lille - 4th edition, Polytech Lille, Lille, France