Computational algebraic geometry
Finding equations of the fake projective plane (C18, p=3, {2I})
With Lev Borisov. Accepted for publication in the Journal of the Korean Mathematical Society.
About
I am a Ph.D. candidate in Mathematics at Rutgers University. My research connects explicit mathematics, robust learning, and high-performance scientific computation.
My doctoral research in computational algebraic geometry is advised by Lev Borisov. I develop computational methods that turn higher-dimensional existence results into explicit defining equations, with a current focus on fake projective planes.
I am also developing research directions in singular learning theory for robust large language and quantitative models, and in online scientific computation for real-world dynamical systems. Across these areas, I am interested in the mathematical obstructions that limit reliable computation and in algorithms that make abstract theory operational.
Selected Work
GPU and scientific computing
G-PASTA: GPU-Accelerated Partitioning Algorithm for Static Timing Analysis
Published at the 61st ACM/IEEE Design Automation Conference (DAC 2024).
Recent News
- 2026Our fake projective plane paper was accepted for publication in the Journal of the Korean Mathematical Society.
- 2026I am developing new research directions in singular learning theory, robust models, and online scientific computation.