Andres A. Contreras Hip
Andres A. Contreras Hip
University of Chicago
Department of Mathematics
acontreraship[at]uchicago.edu
I'm a Ph.D. student at the University of Chicago. Here is my CV .
Research interests:
Analysis, Nonlinear PDE's, Probability and Geometry.
Publications:
"A Support theorem for Liouville quantum gravity", 2023. arXiv preprint https://arxiv.org/abs/2305.15588 (Joint with E. Gwynne).
"Generalized characteristics for finite entropy solutions of Burger's equations" . Nonlinear Analysis 219 (2022), 112804. arXiv preprint https://arxiv.org/abs/2109.08683 (Joint with X. Lamy and E. Marconi).
"On the L2 stability of shock waves for finite-entropy solutions of Burgers". Journal of Differential Equations 301 (2021), 236-265. arXiv preprint https://arxiv.org/abs/2011.03710 (Joint with X. Lamy).
"Stable separation of orbits for finite abelian group actions". arXiv preprint https://arxiv.org/abs/1911.05862 (Joint with J. Cahill and A. Contreras).
"Complete set of translation invariant measurements with Lipschitz bounds". Appl. Comput. Harmon. Anal. 49 (2020), 521-539. (Joint with J. Cahill and A. Contreras). arXiv preprint https://arxiv.org/abs/1903.02811
My google scholar profile can be found here.