Biography
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).
- Partial Differential Equations
- Probability Theory
- Calculus of Variations
- Mathematical Modeling
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
Publications
[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
Qualification Exams
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.
Teaching
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
Contact
- rchu [at] math [dot] ucla [edu]
- 520 Portola Plaza, Los Angeles, CA 90031
- UCLA Mathematical Sciences Building 2943