I am a mathematical scientist pursuing my PhD in the Program in Applied and Computational Mathematics (PACM) at Princeton University.
I’m advised by Boris Hanin. I’m grateful to be supported by the Department of Energy Computational Science Graduate Fellowship (DOE CSGF).
Contact
- email: an4386[at]princeton[dot]edu
- twitter: @negronax
- C.V. 📄
I think about the mathematics of high-dimensional non-linear systems that organize, compute, and learn. I study these systems using tools from probability theory and partial differential equations.
Current (~April ‘26) research topics:
- mathematical foundations of deep/machine learning
- nonlinear PDEs in models of biological neural computation
Mathematical subjects I find exciting:
- random matrix theory
- spin glasses and disordered systems
- interacting particle systems and kinetic equations
- nonlinear dispersive PDE and stochastic PDEs in mathematical physics
- formalization in Lean
Previous chapters
- [2022 - 2024] K. Lisa Yang Post-baccalaureate Research Scholar at MIT in the Brain and Cognitive Sciences department, advised by Ila Fiete
- [2021 - 2022] Simons Foundation Shenoy Undergraduate Research Fellow at the University of Chicago, advised by Brent Doiron
- I earned a B.S. in Applied Mathematics, B.S. in Statistics from the Illinois Institute of Technology, advised by Sergey Nadtochiy
- In a previous life, I wrote poetry and fiction at Northwestern University and studied Classics.
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This site hosts my academic work, but I intend to write about other things too.