Hi! I am a second year PhD student studying mathematics at University of California, Los Angeles (UCLA), where I am advised by Professor Inwon Kim. I am interested in Partial Differential Equations, Probability Theory, and Applied Mathematics.

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

I am also interested in mentoring undergraduates. I am currently a committee member and mentor for the Directed Reading Program (DRP) at UCLA. I am also a graduate student represenative for the Undergraduate Studies Committee.

Download my Curriculum Vitae (last updated 01/23/22).

Interests

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

Education

PhD in Mathematics, 2020-Present

University of California, Los Angeles

BS in Applied Mathematics, 2016-2020

University of California, Los Angeles

**Submitted:**

S. Christensen, **R. Chu**, C. Anderson, M. Roper, *Fast Asymptotic-Numerical Method For Coarse Mesh Particle Simulation In Channels Of Arbitrary Cross Section* arXiv

**In Preparation:**

**R. Chu**, *On the Hele-Shaw Limit with a Dynamic Density Constraint and Drift*

**R. Chu**, S. Christensen, A. Bertozzi, H. Ji, M. Roper, *A Theory For Curvature-Induced Migration In Inertial Microﬂuidic Devices*

I am honored to have received the Horn-Moez Prize for my qualification exam results. 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

**Disclaimer**:

These are my solutions to the analysis qualifying exam and basic qualifying exams at UCLA. Almost surely, there will be some errors and typos in my solutions. Please email me any errors or typos in my solutions.

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.

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

**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