Biography

Research Interest

• (Singular) stochastic partial differential equations
• Levy processes and nonlocal partial differential equations
• Non-equilibrium statistical physics

Education Experience

• 2018 - 2022 | Illinois Institute of Technology | Applied Mathematics | Doctor | (Supervisor: Jinqiao Duan)
• 2014 - 2018 | Wuhan Institute of Physics and Mathematics | Applied Mathematics | Master | (Supervisor: Yujin Guo)
• 2010 - 2014 | Northwest Normal University | Statistics | Bachelor

Work Experience

• 2022 - -- | BIMSA | Postdoc

Honors and Awards

• 2022 | Karl Menger Student Award for Exceptional Scholarship Graduate, The Department of Applied Mathematics, Illinois Institute of Technology
• 2021 | Excellence in Dissertation Research award, The College of Computing, Illinois Institute of Technology

Publication

• [1] Qi Zhang, Yanjie Zhang, Ao Zhang, Singular Perturbations of Nonlocal HJB Equations in Multiscale Stochastic Control, Arxiv (2025)
• [2] Qi Zhang, Yubin Lu, Entropy production rate and time-reversibility for general jump diffusions on R^n, Chaos, 35(10) (2025)
• [3] Q Zhang, Y Lu, Entropy production rate and time-reversibility for general jump diffusions on RR n, Chaos: An Interdisciplinary Journal of Nonlinear Science, 35(10) (2025)
• [4] S Fan, Q Zhang, Free energy dissipation and a decomposition of general jump diffusions on ℝn without detailed balance, arXiv, 2512.06839 (2025)
• [5] Qi Zhang, Jingqiao Duan, Constraint minimization problem of the nonlinear Schrödinger equation with the Anderson hamiltonian, Journal of Mathematical Analysis and Applications, 538(2024), 1
• [6] Qi Zhang, Global well-posedness for the nonlinear generalized parabolic Anderson model equation, Stochastics and Dynamics(2023)
• [7] Qi Zhang, Jingqiao Duan, Linear Response Theory for Nonlinear Stochastic Differential Equations with $\alpha$-Stable L\'{e}vy Noises., JOURNAL OF STATISTICAL PHYSICS (2021)
• [8] Q Zhang, J Duan, Linear Response Theory for Nonlinear Stochastic Differential Equations with $α$ -Stable Lévy Noises, Journal of Statistical Physics, 182(2), 32 (2021)
• [9] Qi Zhang, Jingqiao Duan, Yong Chen, Global solution and blow-up of the stochastic nonlinear Schr\"{o}dinger system, JOURNAL OF MATHEMATICAL PHYSICS (2020)
• [10] Q Zhang, J Duan, Y Chen, Global solution and blow-up of the stochastic nonlinear Schrödinger system, Journal of Mathematical Physics, 61(6) (2020)
• [11] Yujin Guo, Yong Luo, Qi Zhang, Minimizers of mass critical Hartree energy functionals in bounded domains, JOURNAL OF DIFFERENTIAL EQUATIONS (2018)