I am a third year PhD student studying mathematics at UCLA, where I am advised by Professor Inwon Kim. I mainly study the Analysis of Partial Differential Equations and Integro-differential equations using tools from Stochastic Analysis, Optimization, and Mathematical Analysis.

As an undergraduate, I studied Applied Mathematics at UCLA and worked with Professor Marcus Roper on inertial migration of particles.

Download my Curriculum Vitae (last updated 03/30/22).

Interests

- Partial Differential Equations
- Probability Theory
- Calculus of Variations
- Mathematical Modeling

Education

PhD in Mathematics, 2020-Present

University of California, Los Angeles

MA in Mathematics, 2020-2022

University of California, Los Angeles

BS in Applied Mathematics, 2016-2020

University of California, Los Angeles

[1] **R. Chu**, *A Hele-Shaw Limit with a Variable Upper Bound and Drift*, *Under Revision at SIAM Journal on Mathematical Analysis*

[2] S. Christensen, **R. Chu**, C. Anderson, M. Roper, *Fast Asymptotic-Numerical Method For Coarse Mesh Particle Simulation In Channels Of Arbitrary Cross Section*, *Accepted to Journal of Computational Physics*

[3] **R. Chu**, I. Kim, Y. Kim, K. Nam, *A Stochastic Optimization Approach To The Fractional Stefan Problems*, *In preparation*

[4] **R. Chu**, S. Christensen, H. Ji, M. Roper, *A theory for curvature-induced migration in inertial microfluidic devices*, *In preparation*

While studying for my qualification exams, I found it very helpful to type out my solutions to old exams. I hope these resources help future students with their preparation for their exams.

**Analysis Qualifying Exam:** Analysis Qualifying Exam Solutions (Spring 2010 - Fall 2020) pdf

**Basic Qualifying Exam:** Basic Qualifying Exam Solutions (Spring 2010 - Spring 2020) pdf

**Basic Qualifying Exam:** Honors Real Analysis (Math 131AH and 131BH) lecture notes 131AH, 131BH 1/2, and 131BH 2/2

**Math 204 (Basic Qualifying Exam)** I will be posting lecture notes and homework assignments here.

The Honors Real Analysis Lecture Notes are from Professor Visan’s Math 131AH and 131BH class from Fall 2017 and Winter 2018. I would like to thank my friend Damien Lefebvre for typing up the lecture notes.

**Graduate Student Instructor**

**Winter 2023** UCLA Math 204 (Masters Real Analysis)

**Teaching Assistant**

**Fall 2022** UCLA Math 174E (Mathematical Finance)

**Spring 2022** UCLA Math 142 (Mathematical Modeling)

**Winter 2022** UCLA Math 266B (Applied Partial Differential Equations) Review

**Fall 2021** UCLA Math 266A (Applied Ordinary Differential Equations) Review

**Spring 2021:** UCLA Math 131B (Real Analysis) Review

**Winter 2021:** UCLA Math 142 (Mathematical Modeling) Review

**Fall 2020:** UCLA Math 31A (Differential and Integral Calculus) Review

- rchu [at] math [dot] ucla [edu]
- 520 Portola Plaza, Los Angeles, CA 90031
- UCLA Mathematical Sciences Building 2943