I completed my Ph.D. study at Brigham Young University, advised by Kening Lu. I am currently a postdoc in the math department at University of Arizona, mentored by Qiudong Wang. Here is my CV.
I am interested in (stochastic) differential equations, for example, the Navier-Stokes equations from fluid mechanics, the N-body problem from celestial mechanics.
Publications and Preprints:
Global well-posedness and enhanced dissipation for the 2D stochastic Nernst-Planck-Navier-Stokes equations with transport noise (with Quyuan Lin and Weinan Wang), submitted, 2024.
Large deviations for 2D stochastic Navier-Stokes Equations driven by a periodic force and a degenerate noise (with Kening Lu), submitted, arXiv preprint arXiv:2307.05570, 1-60 (2023)
Global existence for the stochastic Boussinesq equations with transport noise and small rough data (with Quyuan Lin and Weinan Wang), SIAM J. Math. Anal. (2024). https://doi.org/10.1137/23M155953
Ergodicity and mixing of quasi-periodically forced 2D stochastic Navier-Stokes Equations and limit theorems in the hypoelliptic setting (with Kening Lu), submitted, arXiv preprint arXiv:2205.14348. 1-54 (2022)
Statistical Properties of 2D Stochastic Navier-Stokes Equations with Time-Periodic Forcing and Degenerate Stochastic Forcing (with Kening Lu), submitted, arXiv preprint arXiv:2105.00598. 1-68 (2021)
Exclusion of quadruple collisions in minimizers of the planar equal-mass N-body problem (with Duokui Yan). J. Differential Equations. 287, 113–147 (2021)
New periodic orbits in the planar equal-mass three-body problem (with Jiangyuan Li and Duokui Yan), Discrete Contin. Dyn. Syst. 38(4), 2187–2206 (2018)
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), Adv. Nonlinear Stud. 17(4), 819–835 (2017)
New phenomena in the spatial isosceles three-body problem with unequal masses (with Duuokui Yan, Xingwei Hu, Weize Mao and Tiancheng Ouyang), Internat. J. Bifur. Chaos Appl. Sci. Engrg. 25(12), 1550169 (2015)
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 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
Recent Talks:
2022 Oct 4: Analysis, Dynamics and Applications Seminar at University of Arizona
2022 Oct 7: Applied Mathematics/PDE/DS Seminars at University of California, Santa Barbara