Research

Research Interests

• Analysis and Geometry

• Partial Differential Equations

I am currently working on analysis and stability of geometric and functional inequalities. 

Publications

• [Link] Lam, N., Lu, G. & Russanov, A. Stability of Gaussian Poincaré inequalities and Heisenberg uncertainty principle with monomial weights. Math. Z. 312, 42 (2026). 

Talks

• AMS Sectional Meeting - Hartford: Special Session on Sharp Geometric Inequalities and their Stability, PDEs and Applications, II, April 5, 2025

• AMS Fall Eastern Virtual Sectional Meeting: Special Session on Research in Analysis and PDEs by Early Career Mathematicians, I, October 25, 2025

Organizing

• AMS Sectional Meeting - Hartford: Special Session on Sharp Geometric Inequalities and their Stability, PDEs and Applications, April 5-6, 2025

• AMS Sectional Meeting - Boston: Special Session on Geometric and Functional Inequalities, Sharp Constants, Extremals, Stability, and Their Applications March 28-29, 2026