Frontiers of Mathematics Lectures 2025 – Institute of Mathematical Research

Numerical Analysis Seminar – Optimal Control Design for Fluid Mixing: from Open-Loop to Closed-Loop

Numerical Analysis Seminar – Reduced-Order Models in Computational Science and Engineering: fundamentals and applications

Analysis and PDE Seminar – Regular solutions to Lp Minkowski problem

Number Theory Seminar – Sum product phenomenon and super approximation

Numerical Analysis Seminar – Physics-informed neural networks for multiscale hyperbolic models for the spatial spread of infectious diseases

Optimization and Machine Learning Seminar – Lyapunov Stability of the Subgradient Method with Constant Step Size

Numerical Analysis Seminar – A New Framework for Solving Dynamical Systems

Numerical Analysis Seminar – Dynamical Low Rank approximation of random time dependent problems

Analysis and PDE Seminar – On Liouville-type theorems for the stationary MHD equations

From microscopic to macroscopic scale equations: mean field, hydrodynamic and graph limits

Professor Emmanuel Trélat (Sorbonne Université, France)

p-adic L-functions and modifying factors

Professor Binyong Sun (Institute for Advanced Study in Mathematics & New Cornerstone Science Laboratory, Zhejiang University)

Machine Learning algorithms inspired by Complex Analysis, Dynamics and Whitney Embedding Theorem

Professor Zhihong Xia (Northwestern University)

Combinatorics of the amplituhedron

Professor Lauren K Williams (Harvard University)

Control and Machine Learning

Professor Enrique ZUAZUA (Friedrich Alexander Universität Erlangen Nürnberg – Alexander von Humboldt Professorship, Germany)

Integral models with nonlocal operators: applications and recent development

Professor Qiang Du (Department of Applied Physics and Applied Mathematics, Columbia University)

Geometry of gravitational instantons

Professor Song Sun (IASM, Zhejiang University)