Research Interests

I am mainly interested in the existence/uniqueness of solutions of nonlinear PDEs (mostly dispersive) arising from fluid mechanics and mathematical physics. 

Planned Talks/Conferences

1. May 19 - 22, 2025: Recent advances in Harmonic Analysis and Partial Differential Equations 

2. June 9 - 13, 2025: Physical Mathematics of QFT Summer School 2025 

3. November 17 - 20, 2025: SIAM Conference on Analysis of Partial Differential Equations 

Past Talks/Conferences

1. March 18 - 19, 2022: Current Developments in Mathematics  

2. May 19 - 22, 2022: Houston Workshop on Hyperbolic Dynamical Systems  

Title: Classical Hamiltonian Dynamics and its Applications to Dynamical Systems

3. June 9 - 12, 2022: Great Lakes Mathematical Physics Meeting 

Title: Application to Statistical Physics 

4. Sept 12 - 16, 2022: Mathematical Results in Quantum Theory (QMATH15) 

5. April 1, 2023: 48th Annual New York Regional Graduate Mathematics Conference Registration Form  

Title: Local Well-Posedness of BBM Equation 

6. Sept 9-10, 2023: University at Buffalo (SUNY), Buffalo, NY (2023 Fall Eastern Sectional Meeting) 

7. June 7 - 9, 2024:  Great Lakes Mathematical Physics Meeting 

Title: Dispersive blow-up of Nonlinear Schrodinger Equation 

8. June 10 - 14, 2024: The Physical Mathematics of Quantum Field Theory Summer School 2024  

9. October 31, 2024: Invited to speak at AMS Graduate Chapter at Ohio University.