Gabriel Abreu

Mathematics · Optimization · Machine Learning

Gabriel Abreu

PhD Student in Mathematics at NYU Courant

I am a second-year PhD student in Mathematics at New York University's Courant Institute of Mathematical Sciences. I am interested in computational mathematics, machine learning, and numerical optimization. My current research focuses on scalable optimization methods for training large language models.

2026–present

Second-Order Optimization for Large Language Models

NYU Center for Data Science · Andrew Gordon Wilson

My work explores scaling and improving the efficiency of Gauss–Newton methods as alternatives to first-order optimizers for training large models.

2026–present

Transient Sprinkler Fluid Dynamics

Applied Mathematics Lab, NYU · Leif Ristroph

Experimental and computational research on real-world fluid dynamics problems, currently investigating the Feynman sprinkler problem.

2024–2025

Smoothing Newton Method for Phase Retrieval

Brandeis University · Tyler Maunu

Researched implicit regularization properties of Newton's Method, targeting quadratic convergence for nonsmooth phase retrieval problems.

2025–present

New York University

PhD in Mathematics · Courant Institute

2021–2025

Brandeis University

B.S. Applied Mathematics & Computer Science, with Honors

Minor in Economics

GPA: 3.96 · Summa Cum Laude