Ziran Liu

BIO

Dr. Liu graduated from NYU with his PhD degree. Probability theory goes through his research interests, but he is also driven by the hidden connections from the probability theory to other disciplines, as well as the mathematical principles/laws behind many exciting works in other fields of applied research such as in physics, AI and OR etc, for which his aim is the solutions or theory on the fundamental level to understand the observed phenomenon in the research of applied sciences, by leveraging the tools including the (broad) probability theory, stochastic processes, and methods of global analysis on manifolds. 

Education Experience

• Leonard N. Stern School of Business, New York University New York, United States Ph.D in Operations 09/2016-06/2023
• Courant Institute of Mathematical Sciences New York University New York, United States M. S. in Mathematics 09/2014-05/2016
• Chern Institute of Mathematics, Nankai University Tianjin, China M.S. in Mathematics 09/2011-07/2014
• School of Mathematical Sciences, Nankai University Tianjin, China B.S. in Mathematics 09/2007-07/2011

Work Experience

• UC Berkeley, Department of Statistics, Lecturer, 2024, (terminated by issue of visa)
• Cardinal Operations, Visiting Scholar, 2024
• NYU Stern School of Business, Instructor for “Operations Management, OPMG-UB 1-001”, 2019,
• NYU Courant Institute, Recitation Leader for “Mathematics for Econ” (section I and II), 2016,
• NYU Courant Institute, Teaching Assistant for “Analysis III”, 2015,

Honors and Awards

• 2021-2022;The Ernest Kurnow Doctoral Fellowship, New York University
• 2016-2020;NYU Stern Doctoral Fellowship, New York University

Publications

1. Studies on reflected Brownian motion, and its applications to geometric invariants [PhD Thesis], Ziran Liu, 2022.
2. Reflected Brownian motion with drift in a wedge. Peter Lakner, Ziran Liu, Josh Reed, (accepted for publication, Queueing Systems: Theory and Applications).
3. A Note on Hausdorff Multifractal Spectrum of Log-correlated Gaussian Multiplicative Chaos. Ziran Liu, Preprint, 2020.
4. Assortment Optimization: A Near Linear Algorithm for a Type of Choice Modelling Problem. Ziran Liu, Preprint, 2020.
5. Using Hardy Function to predict Gaussian processes from its whole past. [M.S. Thesis] Ziran Liu, 2016.
6. A Lichnerowicz vanishing theorem on non-compact spin manifolds with a type of Lie group action. [M.S. Thesis] Ziran Liu, Preprint, 2014.
7. A Lichnerowicz vanishing theorem for proper cocompact actions. Ziran Liu, 2013. arXiv:1310.4903.