Qiang Zeng


I am an Assistant Professor in the Department of Mathematics at CUNY Queens College. 
I can be reached at qzeng.math AT gmail.com.

Before coming to New York, I held postdoc positions in the Center of Mathematical Sciences and Applications at Harvard University, in Mathematical Sciences Research Institute, and in Northwestern University

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).
    Communications in Mathematical Physics, to appear. [arXiv]  [journal]

  • 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, 2018(17): 5486–5535 (2018). [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): 
    242264 (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]




Links

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