CV
Research interests
- Mathematical general relativity (specifically singularity/trapped surface formation)
- Geometric analysis
- Partial differential equations (specifically hyperbolic systems)
Education
- Ph.D in Mathematics, University of Michigan, June 2025 (Expected)
- M.S. in Mathematics, University of Michigan, April 2021
- B.S. in Mathematics (with Honors), University of Chicago, June 2019
Papers & Preprints
- Linear hyperbolic equations in a double null foliation, 2024. Preprint on arXiv.
Conferences & Workshops
- 34th Midwest Relativity Conference (University of Michigan, Fall 2024)
- AMS Fall Western Sectional (University of California, Riverside, Fall 2024)
- Recent Progress on Geometric Analysis and Riemannian Geometry (SLMath, Fall 2024)
- 33rd Midwest Relativity Conference (University of Chicago, Fall 2023)
- 32nd Midwest Relativity Conference (Oakland University, Fall 2022)
- MSRI Summer School on Geometric Flows (FORTH-IACM, Crete, Summer 2022)
- Harvard CMSA General Relativity Program Visitor (Harvard University, Spring 2022)
- For more information, visit the program’s website
- Boston City Limits 2018: Summer School on Mathematical General Relativity and the Geometric Analysis of Waves of Fluids (MIT, Summer 2018)
- For more information, visit the program’s website
Talks
- 34th Midwest Relativity Conference, Algebraic constraints for the linearized Bianchi equations (University of Michigan, 2024)
- Student Analysis Seminar, Hyperbolic equations and double null foliations (University of Michigan, 2024)
- AMS Special Session on Dynamics of Solutions to Wave Equations, Hyperbolic equations in a double null gauge (University of California, Riverside, 2024)
- Student Analysis Seminar, General Relativity and the Einstein Equations (University of Michigan, 2024)
- 33rd Midwest Relativity Conference, Black hole formation with null dust (University of Chicago, 2023)
- University of Maine Mathematics Department Colloquium, Trapped surface formation in general relativity (University of Maine, 2023)
- 32nd Midwest Relativity Conference, Black hole formation with null dust (Oakland University, 2022)
- Student Dynamics/Geometry/Topology Seminar, Penrose’s incompleteness theorem (University of Michigan, 2022)
- Student Analysis Seminar, Field equations on flat spacetime (University of Michigan, 2022)
- Student Dynamics/Geometry/Topology Seminar, Black hole spacetimes and closed trapped surfaces (University of Michigan, 2021)
- Student Analysis Seminar, Lagrangians in PDE (University of Michigan, 2021)
- MCAIM Student Seminar, The Cauchy problem in general relativity (University of Michigan, 2020)
- Student Analysis Seminar, Optimal transport theory (University of Michigan, 2020)
- Student Analysis Seminar, The Cauchy problem in general relativity (University of Michigan, 2020)
Teaching
- Primary Instructor/Instructor of Record for Math 116 (Calculus II) (Winter 2024, Fall 2020, Winter 2020)
- Primary Instructor/Instructor of Record for Math 115 (Calculus I) (Fall 2019)
- Co-coordinator for Math 116 (Calculus II) (Fall 2022)
- Lab Instructor for Math 216 (Introduction to Differential Equations) (Winter 2021)
- See my teaching page for more information regarding my teaching experience
Service
- Assisted with 34th Midwest Relativity Conference at the University of Michigan (2024)
- Invited panelist at MORE 2023 (Mathematics - Opportunities in Research and Education 2023)
- I was the co-chair for the Midwest Research Experience for Graduates (MREG 2023) (previously known as the Michigan Research Experience for Graduates), for which we secured funding from NSF and MCAIM; I’m now in an advisory position as we seek to transition MREG to a more sustainable funding model
- I was on the organizing committee for the Michigan Research Experience for Graduates (MREG 2022) in Summer, 2022
- Co-organizer, Student Analysis Seminar (2021 - 2023) (See the list of UM seminars)
- I have lead two Math Circle sessions at the University of Michigan (one on spherical geometry, one on Conway’s Game of Life)
- Friend of the Math Corps summer camp at the University of Michigan
Selected Honors
- Mort Brown Excellence in Teaching Award (University of Michigan, 2023)
- Joel Smoller Graduate Fellowship (University of Michigan, 2023)
- Gabrielle & Sophie Rainich Fellowship (University of Michigan, 2020)
- Rackham Merit Fellowship (University of Michigan, 2019 - Present)
- Phi Beta Kappa (2019 - Present)
Miscellaneous
- I’ve worked on data-related projects with local organizations through CTAC at the Ginsberg Center at U of M, such as:
- Data visualization of organizational collaboration for MI-CEMI
- Data visualization & mapping for Brilliant Detroit
- Data visualization & mapping for the Girl Scouts of Southeastern Michigan
- Data analysis of survey responses for OLHSA
- Python & Bash visualization tutorials for CTAC
- I’ve worked on a team project for the Erdos Institute Data Science Bootcamp that used machine learning and data science methods to predict the direction of neutrinos from cosmic rays. Our project received a Certificate of Completion with Distinction
- Following the Data Science Bootcamp, I worked on a team project for the Erdos Institute’s Deep Learning Bootcamp, where we used LLMs (specifically DeBERTa and RoBERTa) to identify personally identifying information (PII) in academic writing