Analysis and Geometry
Partial Differential Equations
I am currently working on analysis and stability of geometric and functional inequalities.
[Link] Lam, N., Lu, G. & Russanov, A. Stability of Gaussian Poincaré inequalities and Heisenberg uncertainty principle with monomial weights. Math. Z. 312, 42 (2026).
[Link] Lam, N., Lu, G. & Russanov, A. Log-Sobolev and Beckner inequalities and stability of Poincaré inequality with weighted Gaussian measures
Graduate Research Forum, May 2, University of Connecticut (Upcoming)
Fairfield University Analysis and Differential Equations Conference, April 11 [link]
AMS Spring Sectional Meeting - Boston College: Special Session on Geometric and Functional Inequalities, Sharp Constants, Extremals, Stability and Their Applications, II, March 28, 2026 [link]
Workshop in PDE and Applied Math in the Northeastern Region, March 7, 2026, University of Connecticut [link]
AMS Fall Eastern Virtual Sectional Meeting: Special Session on Research in Analysis and PDEs by Early Career Mathematicians, I, October 25, 2025 [link]
AMS Sectional Meeting - Hartford: Special Session on Sharp Geometric Inequalities and their Stability, PDEs and Applications, II, April 5, 2025 [link]
AMS Sectional Meeting - Boston: Special Session on Geometric and Functional Inequalities, Sharp Constants, Extremals, Stability, and Their Applications March 28, 2026 [link]
AMS Sectional Meeting - Hartford: Special Session on Sharp Geometric Inequalities and their Stability, PDEs and Applications, April 5-6, 2025 [link]