qzeng.math AT gmail.com
Hello! I am an Assistant Professor in the Department of Mathematics at CUNY Queens College.
Before coming to New York, I held postdoc positions at Harvard University, Mathematical Sciences Research Institute, and Northwestern University. I received my Ph.D. in mathematics from University of Illinois at UrbanaChampaign 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 am interested in probability theory, functional analysis, and mathematical physics. Currently, I work in spin glasses and noncommutative probability.
Teaching
The information for courses I am teaching is updated in Blackboard.
Papers

Existence of twostep replica symmetry breaking for the spherical mixed pspin glass at zero temperature, (with Antonio Auffinger).
Communications in Mathematical Physics, to appear. [arXiv] [journal]

The SK model is Fullstep Replica Symmetry Breaking at zero temperature, (with Antonio Auffinger and WeiKuo Chen).
Submitted. [arXiv]

Harmonic analysis approach to GromovHausdorff 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, 2018(17): 5486–5535 (2018). [arXiv] [journal]

An application of free transport to mixed qGaussian algebras, (with Brent Nelson).
Proceedings of the American Mathematical Society, 144(10): 4357–4366 (2016). [arXiv] [journal]

Ultraproduct methods for mixed qGaussian algebras, (with Marius Junge).
Submitted. [arXiv]

Subgaussian 1cocycles 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(34): 449–507 (2015). [arXiv] [journal]

Noncommutative Bennett and Rosenthal inequalities, (with Marius Junge).
The Annals of Probability, 41(6): 4287–4316 (2013). [arXiv] [journal]
