**Hongwei Gao**

Department of Mathematics

University of California, Los Angeles

Los Angeles, CA 90095

**Office**: MS 7380

**Email**: hwgao@math.ucla.edu

**
Personal Information **

Currently, I am employed by the Department of Mathematics as an Assistant Adjunct Professor, mentored by Professor Inwon C. Kim . Previously, I obtained my Ph.D. at University of California, Irvine, under the supervision of Professor Song-Ying Li and Professor Yifeng Yu.

**Research Interests**

- Homogenization
- Nonlinear PDEs and their applications in the study of combustion, traffic flow, etc.

**Teaching at UCLA**

- Fall 2016: Math 134 (Linear and Nonlinear Systems of Differential Equations) Lecture 2 and Lecture 3.
- Winter 2017: Math 135 (Ordinary Differential Equations) Lecture 2 and Lecture 3.
- Spring 2017: Math 136 (Partial Differential Equations) Lecture 1.
- Summer 2017: Math 135 (Ordinary Differential Equations) Lecture 1.
- Fall 2017: Math 33 B (Differential Equations) Lecture 2 and Math 170 A (Probability Theory) Lecture 5.
- Winter 2018: Math 170 A (Probability Theory) Lecture 4.
- Spring 2018: Math 135 (Ordinary Differential Equations) Lecture 2 and Math 136 (Partial Differential Equations) Lecture 1.
- Fall 2018: Math 135 (Ordinary Differential Equations) Lecture 2 and Math 151A (Applied Numerical Methods) Lecture 3.
- Winter 2019: Math 135 (Ordinary Differential Equations) Lecture 1.
- Spring 2019: Math 134 (Linear and Nonlinear Systems of Differential Equations) Lecture 1 and Lecture 2.

- Sep. 2011- Jun. 2016: Ph. D. Mathematics, University of California, Irvine ; Irvine, CA
- Sep. 2007- Jun. 2011: B. S. Mathematics, Zhejiang University, China

**Publications and Preprints**

- H. Gao and Inwon Kim, Head and tail speeds of mean curvature flow with forcing.

Submitted. - H. Gao, Homogenization of rotational nonconvex Hamilton-Jacobi equations with a small potential.

To appear. - H. Gao, Stochastic homogenization of certain nonconvex Hamilton-Jacobi equations.

Submitted. - H. Gao, Analysis of a Hamilton-Jacobi equation in modeling traffic flow on an inhomogeneous signalized ring road.

Preprint. - H. Gao, Random homogenization of coercive Hamilton-Jacobi equations in 1d.

Calc. Var. Partial Differential Equations, 55 (2016), no. 2, 1 - 39. - H. Gao, Strain induced slowdown of front propagation in random shear flow via analysis of G-equations.

Proc. Amer. Math. Soc. 144 (2016), no. 7, 3063 - 3076.