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, May 2025
• M.S. in Mathematics, University of Michigan, December 2021
• B.S. in Mathematics (with Honors), University of Chicago, June 2019

Papers & Preprints

• Black hole formation with null dust (with Lydia Bieri, Neel Patel, and Pengyu Le), in preparation.
• Trapped surface formation in general relativity and double null foliations (Ph.D. Thesis), 2025. Available on Deep Blue.
• Linear hyperbolic equations in a double null foliation, 2024. Preprint on arXiv.

Talks

• Harvard CMSA General Relativity Seminar, Hyperbolic equations in a double null gauge (Harvard University, 2025)
• 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)

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

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

• Wirt & Mary Cornwell Prize (University of Michigan, 2025)
• Rackham Merit Fellowship (University of Michigan, 2019 – 2024)
• 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)
• 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