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 nonlinear systems that organize, compute, and learn.
Whether these systems are neuronal, algorithmic, made of particles, or something else entirely — I’m interested in universal mathematical structure underlying their function.
The big scientific question motivating my work is the following:
What distinguishes life and mind from the matter and energy that composes them?
Some topics occupying me lately:
- mathematical foundations of deep learning
- high-dimensional statistics
- learning PDEs in high dimension
- complex biological systems
I’m generally excited by mathematics in the convex hull of the following areas:
- partial differential equations
- high-dimensional phenomena in probability and statistics
- interacting particle systems
- random matrix theory
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.