Publications and Preprints: 

1. Averaging principle for the stochastic primitive equations in the large rotation limit, with Quyuan Lin and Vincent Martinez, in preparation. 

2. On the local well-posedness of fractionally dissipated primitive equations with transport noise, with Ruimeng Hu and Quyuan Lin, 2025, submitted. 

3. Regularization by noise for the inviscid primitive equations, with Ruimeng Hu and Quyuan Lin, 2024. 

4. Global well-posedness and enhanced dissipation for the 2D stochastic Nernst-Planck-Navier-Stokes equations with transport noise, with Quyuan Lin and Weinan Wang, 2024.

5. Large deviations for 2D stochastic Navier-Stokes equations driven by a periodic force and a degenerate noise, with Kening Lu, 2023.

6. Global existence for the stochastic Boussinesq equations with transport noise and small rough data, with Quyuan Lin and Weinan Wang, SIAM Journal on Mathematical Analysis, 56(1), 501-528, 2024.

7. Exponential mixing and limit theorems of quasi-periodically forced 2D stochastic Navier-Stokes equations in the hypoelliptic setting, with Kening Lu.  Accepted by Communications in Mathematical Physics, 2025. 

8. Limit theorems of 2D stochastic Navier-Stokes equations driving by time-periodic force and degenerate noise, with Kening Lu, Science China Mathematics, 1-16, 2025. 

9. Exclusion of quadruple collisions in minimizers of the planar equal-mass N-body problem, with Duokui Yan, Journal of Differential Equations, 287, 113-147, 2021.

10. New periodic orbits in the planar equal-mass three-body problem, with Jiangyuan Li and Duokui Yan, Discrete and Continuous Dynamical Systems, 38(4), 2187-2206, 2018. 

11. Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem, with Bixiao Shi, Duokui Yan and Tiancheng Ouyang, Advanced Nonlinear Studies, 17(4), 819-835, 2017. 

12. New phenomena in the spatial isosceles three-body problem with unequal masses, with Duokui Yan, Xingwei Hu, Weize Mao and Tiancheng Ouyang, International Journal of Bifurcation and Chaos, 25(12), 1550169, 2015.

13. A type of multiple integral with log-gamma function, with Duokui Yan and Geng-zhe Chang, Involve, 8(4), 593–614 (2015)

Teaching:

University of Arizona, Instructor:

• Spring 2025: MATH 464 - Theory of Probability
        MATH 196L - Precalculus Supplemental Instruction Seminar

• Fall 2024: MATH 454 - Ordinary Differential Equations and Stability Theory

• Spring 2024: MATH 425B/525B - Real Analysis of Several Variables

• Fall 2023: MATH 425A/525A - Real Analysis of One Variable

MATH 196M - Calculus I Supplemental Instruction Seminar

• Spring 2023: MATH 129 - Calculus II 

• Fall 2022: MATH 125 - Calculus I

Brigham Young University, Instructor:

• Spring 2021:   MATH 116 - Essentials of Calculus

• Summer 2020:  MATH 113 - Calculus II

Brigham Young University, Teaching Assistant:

• Fall - Winter  2021: MATH 341 - Theory of Analysis I

• Fall - Winter 2020 : MATH 341 - Theory of Analysis I

• Fall  2019: MATH 112 -  Calculus I
  
  

Service: 

• Co-organizer of the Early Career Math Colloquium, University of Arizona, Spring 2023--present

• Journal referee work: Discrete and Continuous Dynamical Systems, Journal of Differential Equations, SIAM Journal on Mathematical Analysis,  Science China Mathematics, Transactions of the American Mathematical Society

Talks:

• 2024 Sep 17: Analysis, Dynamics and Applications Seminar  at University of Arizona

• 2024 Jan 6: AMS Special Session on Recent Advances in Stochastic Differential Equation Theory and its Applications in Modeling Biological Systems III, JMM 2024

• 2022 Oct 7: Applied Mathematics/PDE/DS Seminars at University of California, Santa Barbara

• 2022 Oct 4: Analysis, Dynamics and Applications Seminar  at University of Arizona