Hi! I am a third year PhD student in Computer Science at Cornell University. I'm fortunate to be advised by Professors Ahmed El Alaoui and Karthik Sridharan. I completed my undergraduate studies in mathematics at Caltech. In summer and fall 2025, I worked as a Student Researcher with Claudio Gentile at Google Research.
Research Interests: High-dimensional probability and statistics, learning theory, algorithms.
Contact: ayc74 at cornell.edu
All authors are listed alphabetically unless otherwise stated.
How abundant are good interpolants?
With Ahmed El Alaoui.
In preparation 2026.
Beyond the broken tetrahedron.
With Bjarne Schülke.
Combinatorics, Probability, and Computing, to appear 2026+. [journal, arXiv].
Efficiently Escaping Saddle Points under Generalized Smoothness via Self-Bounding Regularity.
With Daniel Yiming Cao, Karthik Sridharan, and Benjamin Tang.
39th Annual Conference on Neural Information Processing Systems (NeurIPS) 2025. [proc., arXiv].
Optimization, Isoperimetric Inequalities, and Sampling via Lyapunov Potentials.
With Karthik Sridharan.
38th Annual Conference on Learning Theory (COLT) 2025. [proc., arXiv].
Langevin Dynamics: A Unified Perspective on Optimization via Lyapunov Potentials.
With Ayush Sekhari and Karthik Sridharan.
Preprint 2024. [arXiv].