I am a mathematician by training and was most recently a Postdoctoral Associate in the Department of Mathematical Sciences at Carnegie Mellon University, the same department where I completed my Ph.D. under the supervision of Professor Ian Tice.
My research focuses on the rigorous analysis of nonlinear partial differential equations coming from physics, specifically on the free-boundary Navier-Stokes equations modeling incompressible fluids.
Background
Experience
Postdoctoral Associate
Carnegie Mellon University
Department of Mathematical Sciences
2023 – 2025
Research Mentor
Carnegie Mellon University
SEMS (Summer Experiences in the Mathematical Sciences)
Topic: Physics-informed neural networks (PINNs)
Summer 2024
Mathematical Finance Summer Undergraduate Research Program (MFSURP)
Topic: Options pricing
Summer 2022
Ph.D. Researcher
Carnegie Mellon University
Department of Mathematical Sciences
2017 – 2023
Education
Ph.D. in Mathematics
Carnegie Mellon University
Advised by Prof. Ian Tice
2017 – 2023
B.A. with Honors in Mathematics
New York University
2013 – 2017
Projects
PINNs for Options Pricing
Physics-informed neural network approaches to PDE-based pricing problems, connecting PDE analysis with ML-based numerical methods.
Research
My research focuses on the rigorous analysis of nonlinear partial differential equations.
Research Areas
Selected Publications
Talks
Thesis
Traveling wave solutions to the free boundary incompressible Navier-Stokes equations
Carnegie Mellon University · 272 pp.