Research

My research lies at the intersection of dynamical systems, applied analysis, collective dynamics, and mathematical aspects of machine learning.

Research themes

Collective dynamics and kinetic equations

I study interacting particle systems, their mean-field limits, and emergent collective behavior.

Dynamical systems and networks

I work on nonlinear dynamics on networks, including synchronization, bifurcation, and stability problems.

Mathematical aspects of machine learning dynamics

I am interested in dynamical-systems approaches to models arising in machine learning, including attention mechanisms and related continuum limits.

Consensus-based optimization

I am interested in the mathematical analysis of consensus-based optimization methods, including convergence, stochastic effects, and infinite-dimensional formulations.