Andres A. Contreras Hip

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.