James H. Simons Instructor
Mathematics Department
Stony Brook University

Office: Math Tower 4-103,
100 Nicolls Road, Stony Brook, NY 11794

I am interested in the analysis of partial differential equations. I received my PhD from Duke University under supervision of Professor Tarek M. Elgindi. Currently, I am a Post-Doc at Stony Brook University, and my mentor is Professor Theodore D. Drivas.

Strong Ill-posedness of the 2d Incompressible Euler Equation in Critical Besov Spaces, [arxiv]
On the Loss and Propagation of Modulus of Continuity for the Two-Dimensional Incompressible Euler Equations, Journal of Functional Analysis, [arxiv]
Strong Ill-Posedness in L∞ for the Riesz Transform Problem (with T. M. Elgindi), Analysis & PDE, [arxiv]
Traveling Waves for a Microscopic Model of Traffic Flow (with W. Shen), Discrete and Continuous Dynamical Systems, [arxiv]
Resetting of a particle system for the Navier-Stokes equations (with A. Novikov), Communications in Mathematical Sciences, [arxiv]

Spring 2026 - Stony Brook-Calculus B (MAT 126), and Calculus II (MAT 132).
Fall 2025 -Stony Brook- Calculus B (MAT 126).
Spring 2025 - Duke- Calculus I (MATH 110).
Fall 2022 - Duke- Calculus II (MATH 122L).