Andres Contreras Hip
Department of Mathematics
University of Chicago
Department of Mathematics
University of Chicago
Research interests:
Publications:
"Fluctuation exponents of the open KPZ equation in the maximal current phase", 2025. arXiv preprint https://arxiv.org/abs/2508.11094 (Joint with S. Das and A. Zitridis).
"Bounds on the distance exponent for higher-dimensional Liouville first passage percolation", 2025. arXiv preprint https://arxiv.org/abs/2504.09141 (Joint with Z. Zhuang).
``"Channels of Energy for the Linearized Energy Critical Wave Equation in Even Dimensions N ≥ 8", 2025. arXiv preprint https://arxiv.org/abs/2504.09127
"Gaussian curvature on random planar maps and Liouville quantum gravity". To appear in Probability Theory and Related Fields. arXiv preprint https://arxiv.org/abs/2406.08674 (Joint with E. Gwynne).
Approximation of length metrics by conformally flat Riemannian metrics'', 2024. arXiv preprint https://arxiv.org/abs/2410.23304 (Joint with E. Gwynne).
"A support theorem for exponential metrics of log-correlated Gaussian fields in arbitrary dimension", 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". Journal of Fourier Analysis and Applications 30, 12 (2024). 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. arXiv preprint https://arxiv.org/abs/1903.02811 (Joint with J. Cahill and A. Contreras).
Upcoming Talks:
Probability seminar Auburn University
Integrable systems and random matrix theory seminar University of Michigan
Analysis seminar Virginia Tech
Recent Talks:
``"Gaussian curvature for Liouville Quantum Gravity and random planar maps" probability seminar. UCSD, San Diego, California, November 6, 2025
"Gaussian fluctuations for the open one-dimensional KPZ equation" probability seminar. UIUC, Champaign-Urbana, Illinois, September 30, 2025.
"Gaussian curvature for Liouville Quantum Gravity and random planar maps" probability seminar. MIT, Cambridge, Massachusetts. September 15, 2025. https://calendar.mit.edu/event/probability-seminar-Andres-Contreras-Hip
"Gaussian curvature for Liouville Quantum Gravity and random planar maps" probability seminar. UPenn, Philadelphia, Pennsylvania. September 9, 2025. https://www.math.upenn.edu/events/tba-145
"Fine structure of entropy solutions to the isentropic Euler equation with $\gamma=3$", Mathematical Congress of the Americas 2025, session 43, Miami, Florida. July 24, 2025.
"Stable separation of orbits for finite Abelian group actions", Constructive functions 2025, Vanderbilt University, Nashville, Tennessee. May 22, 2025.
"Gaussian fluctuations for the open one-dimensional KPZ equation'', Analysis seminar. EPFL, Lausanne, Switzerland. April 1, 2025. https://memento.epfl.ch/event/gaussian-fluctuations-for-the-open-one-dimensional/
"Gaussian fluctuations for the open one-dimensional KPZ equation", Probabilty Seminar. University of Vienna, Austria. March 24, 2025. https://mathematik.univie.ac.at/en/eventsnews/full-news-display/news/tba-857e7fcd4a/?no_cache=1&cHash=57e8cb21d4b9f8583da60c942b04e034}
"Gaussian curvature for LQG surfaces and random planar maps'', Probability Seminar. Center for Mathematical Modeling (CMM), Universidad de Chile. August 28, 2024. https://www.youtube.com/watch?v=jqX0tl9-CI8
"Gaussian curvature for LQG surfaces and random planar maps", Workshop on KPZ meets KPZ. Fields Institute, Toronto, Canada. March 8, 2024. https://www.youtube.com/watch?v=jx8kR9LnrL4
"Approximation of Length Metrics and Probability Measures on $\mathbb{S}^2$ by Liouville Quantum Spheres". Proseminar, UChicago. Autumn 2022.
Research Visits:
MIT, September 15-18, 2025 (hosted by Jacopo Borga)
UPenn, September 8-10, 2025 (hosted by Ahmed Bou-Rabee)
EPFL, April 2025 (hosted by Tobias Schmid)
University of Vienna, March 2025 (hosted by Nathanaël Berestycki)
University of Geneva, June 2023 (hosted by Hugo Duminil-Copin)
EPFL, June 2023 (hosted by Joachim Krieger)
CY Cergy Paris Universite, June 2023 (hosted by Charles Collot)