Before coming to Evanston, I was a postdoc fellow in the Center of Mathematical Sciences and Applications at Harvard University for one year and in Mathematical Sciences Research Institute for one semester.
I received my Ph.D. in mathematics from University of Illinois at Urbana-Champaign in 2014. I got my B.S. in (Mathematical) Statistics from Beijing Normal University and then spent one year in Peking University as a graduate student. I work at the interfaces of probability theory, functional analysis, and mathematical physics. Papers-
Existence of two-step replica symmetry breaking for the spherical mixed p-spin glass at zero temperature, (with Antonio Auffinger).
*Submitted*. [arXiv] -
The SK model is Full-step Replica Symmetry Breaking at zero temperature, (with Antonio Auffinger and Wei-Kuo Chen).
*Submitted*. [arXiv] -
Harmonic analysis approach to Gromov--Hausdorff convergence for noncommutative tori, (with Marius Junge and Sepideh Rezvani).
*Communications in Mathematical Physics,*358(3): 919–994 (2018). [arXiv] [journal] -
Free monotone transport for infinite variables, (with Brent Nelson).
*International Mathematics Research Notices,*to appear. [arXiv] [journal] -
An application of free transport to mixed q-Gaussian algebras, (with Brent Nelson).
*Proceedings of the American Mathematical Society,*144(10): 4357–4366 (2016). [arXiv] [journal] -
Ultraproduct methods for mixed q-Gaussian algebras, (with Marius Junge).
*Submitted*. [arXiv] -
Subgaussian 1-cocycles on discrete groups, (with Marius Junge).
*Journal of the London Mathematical Society*, 92(2): 242–264 (2015). [arXiv] [journal] -
Poincaré type inequalities for group measure spaces and related transportation cost inequalities.
*Journal of Functional Analysis*, 266(5): 3236–3264 (2014). [arXiv] [journal] -
Kolmogorov's law of the iterated logarithm for noncommutative martingales.
*Annales de l'Institut Henri Poincaré, Probabilités et Statistiques*, 51(3): 1124–1130 (2015). [arXiv] [journal] -
Noncommutative martingale deviation and Poincaré type inequalities with applications, (with Marius Junge).
*Probability Theory and Related Feilds*, 161(3-4): 449–507 (2015). [arXiv] [journal] -
Noncommutative Bennett and Rosenthal inequalities, (with Marius Junge).
*The Annals of Probability*, 41(6): 4287–4316 (2013). [arXiv] [journal]
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