Qiang ZENG曾强 Assistant Professor |

### Academic Qualifications

- Ph.D. in Mathematics, University of Illinois at Urbana-Champaign, USA (2014)
- M.S. in Mathematics, University of Illinois at Urbana-Champaign, USA (2009)
- B.S. in Statistics, Beijing Normal University, China (2007)

### Working Experiences

08/2020—present | Assistant Professor | University of Macau, Macau |

08/2018—08/2020 | Assistant Professor | Queens College, City University of New York, New York |

01/2016—08/2018 | Boas Assistant Professor | Northwestern University, Evanston, Illinois |

08/2015—12/2015 | Postdoc Fellow | Mathematical Sciences Research Institute, Berkeley, California |

08/2014—07/2015 | Postdoc Fellow | Harvard University, Cambridge, Massachusetts |

### Award and Honor

- AMS-Simons Travel Grant, 2017–2020.
- Graduate College Dissertation Fellowship, UIUC, Fall 2013–Spring 2014.
- Bourgin Fellowship and University Fellowship, UIUC, Spring 2013.
- Ranked as excellent teacher by students, UIUC, Spring 2012.

### Teaching

- Introduction to Probability and Mathematical Statistics (Queens College)
- Functions of Real Variables (Queens College)
- Introduction to Mathematical Probability (Queens College)
- Multivariable differential calculus (Northwestern University)
- Integral calculus of one variable functions and series, (Northwestern University)
- Probability and stochastic processes (Northwestern University)

### Research

#### Research Interests

- General areas: probability and statistics, functional analysis, mathematical physics.
- Specific fields: spin glasses, random matrices, (noncommutative) martingale/functional inequalities, free probability, approximation properties of groups and operator algebras, application to data science and theoretical computer science, etc.

### Selected Publications

- Antonio Auffinger and Qiang Zeng. Complexity of high dimensional Gaussian random fields with isotropic increments. Preprint. arXiv:2007.07668.
- Marius Junge and Qiang Zeng. Ultraproduct methods for mixed q-Gaussian algebras. Submitted. arXiv:1505.07852.
- Antonio Auffinger, Wei-Kuo Chen, and Qiang Zeng. The SK model is infinite step replica symmetry breaking at zero temperature.
*Communications on Pure and Applied Mathematics*, 73(5): 921–943 (2020). - Antonio Auffinger and Qiang Zeng. Existence of two-step replica symmetry breaking for the spherical mixed p-spin glass at zero temperature.
*Communications in Mathematical Physics*, 370(1): 377–402 (2019). - Brent Nelson and Qiang Zeng. Free monotone transport for infinite variables.
*International Mathematics Research Notices*, 2018(17): 5486–5535 (2018). - Marius Junge, Sepideh Rezvani, and Qiang Zeng. Harmonic analysis approach to Gromov–Hausdorff convergence for noncommutative tori.
*Communications in Mathematical Physics*, 358(3): 919–994 (2018). - Brent Nelson and Qiang Zeng. An application of free transport to mixed q-Gaussian algebras.
*Proceedings of the American Mathematical Society*, 144(10): 4357–4366 (2016). - Marius Junge and Qiang Zeng. Subgaussian 1-cocycles on discrete groups.
*Journal of the London Mathematical Society*, 92(2): 242–264 (2015). - Qiang Zeng. Kolmogorov’s law of the iterated logarithm for noncommutative martingales.
*Annales de l’Institut Henri Poincaré Probabilités et Statistiques*, 51(3):1124–1130 (2015). - Marius Junge and Qiang Zeng. Noncommutative martingale deviation and Poincaré type inequalities with applications.
*Probability Theory and Related Fields*, 161(3-4): 449–507 (2015). - Qiang Zeng. Poincaré type inequalities for group measure spaces and related transportation cost inequalities.
*Journal of Functional Analysis*, 266(5): 3236–3264 (2014). - Marius Junge and Qiang Zeng. Noncommutative Bennett and Rosenthal inequalities.
*The Annals of Probability*, 41(6): 4287–4316 (2013).

### Services

- Journals Refereed: Advances in Mathematics, Annales de l’Institut Henri Poincaré D, Frontiers of Mathematics in China, Illinois Journal of Mathematics, Journal of Functional Analysis, Journal/Proceedings of the London Mathematical Society, Journal of Theoretical Probability, Michigan Mathematical Journal, Taiwanese Journal of Mathematics.
- Co-organizer of probability seminar at Northwestern University, Winter 2016–Spring 2018.
- Scientific committee member for Midwest Probability Colloquium 2018.
- Reviewer for Mathematical Reviews (MathSciNet).

### Contact Details

Faculty of Science and Technology

University of Macau, E11

Avenida da Universidade, Taipa,

Macau, China

Room: E11-3078

Telephone: (853) 8822-4969

Fax: (853) 8822-2426

Email: qiangzeng