| Title | Instructor | Date | 
            
            | Ramanujan Property and Edge Universality of Random Regular Graphs | Jiaoyang Huang (University of Pennsylvania) | 2025-10-23 | 
        
            | Large mass limit of G2 and Calabi Yau monopoles | Yang Li (Cambridge University) | 2025-10-10 | 
        
            | Low regularity time integration of dispersive problems | Alexander Ostermann (University of Innsbruck, Austria) | 2025-09-19 | 
        
            | Fractals and the dynamics of  Thurston maps | Mario Bonk (University of California, Los Angeles) | 2025-09-18 | 
        
            | Toward a Mathematical Theory of Deep Learning: Lessons from Personal Research | Weijie Su 苏炜杰 University of Pennsylvania | 2025-07-07 | 
        
            | Dynamic Stochastic Variational Inequalities and Their Applications in AI | Xiaojun Chen (The Hong Kong Polytechnic University) | 2025-05-30 | 
        
            | Spectrum of Quasi-periodic Schrodinger operator | Qi Zhou (Nankai University) | 2025-05-16 | 
        
            | Moment maps in complex geometry | Ruadhaí Dervan (University of Glasgow) | 2025-05-09 | 
        
            | Compact Lie algebras admitting integrable complex structures | Lei Ni (UCSD) | 2025-05-06 | 
        
            | Dimensions of escaping and recurrent geodesics | Wenyuan Yang (BICMR) | 2025-04-25 | 
        
            | Beyond uniform distribution | Zeev Rudnick (Tel Aviv University) | 2025-04-17 | 
        
            | Life on Earth: An Accident? | Ulf-G. Meißner (University of Bonn & FZJ) | 2025-04-16 | 
        
            | PEARL: Performance-enhanced Aggregated Representation Learning | Xinyu Zhang (CAS) | 2025-03-27 | 
        
            | Positivity/bound/length preserving  schemes for complex nonlinear systems | Jie Shen (Eastern Institute of Technology, Ningbo) | 2025-03-25 | 
        
            | The Brownian loop measure on Riemann surfaces and applications to length spectra | Yilin Wang (IHES) | 2025-03-20 | 
        
            | Foundations and applications of numerical infinities and infinitesimals | Yaroslav D. Sergeyev | 2025-03-07 | 
        
            | Local Langlands conjecture and positive-depth Deligne-Lusztig theory / Global Langlands parameters for G_2 | Masao Oi (NTU), Wee Teck Gan (NUS) | 2025-02-28 | 
        
            | Diffusive Limit in Non-Convex Domains | Lei Wu (Lehigh University) | 2025-02-24 | 
        
            | The last Kervaire invariant problem | Guozhen Wang (Fudan University) | 2024-12-06 | 
        
            | An invitation to nonlinear dispersive PDEs | Chenjie Fan (CAS) | 2024-11-08 | 
        
            | Automorphisms of the Boutet de Monvel algebra | Ryszard Nest (Copenhagen University) | 2024-11-28 | 
        
            | Well-posedness for fluid free boundary problems in general relativity | Shuang Miao (Wuhan University) | 2024-10-24 | 
        
            | A number theorist's adventures in the land of spectral theory | Zeev Rudnick (Tel Aviv University) | 2024-11-15 | 
        
            | Boundary trace of reflected diffusions on uniform domains | Zhen-Qing Chen (University of Washington) | 2024-10-18 | 
        
            | Infrequent Resolving Algorithm for Online Linear Programming | Zizhuo Wang (CUHK, Shenzhen) | 2024-10-11 | 
        
            | Factors in Fashion: Factor Analysis towards the Mode | Yundong Tu (Peking University) | 2024-09-13 | 
        
            | LOWER EIGENVALUE BOUNDS FOR THE HARMONIC AND BI-HARMONIC OPERATOR | Carsten Carstensen (Humboldt-Universität zu Berlin) | 2024-09-20 | 
        
            | Vanishing negative K-theory and bounded t-structures | Amnon Neeman (University of Milan) | 2024-09-06 | 
        
            | Machine Learning and Seismic Tomography / Directed Chain Generative Adversarial Networks for Multimodal Distributed Financial Data | Xu Yang / Ruimeng Hu | 2024-06-28 | 
        
            | Wall-crossing for Calabi-Yau fourfolds and applications | Arkadij Bojko (Academia Sinica) | 2024-06-07 | 
        
            | Current topics in nonabelian Hodge theory | Carlos Simpson (Université Côte d | 2024-05-24 | 
        
            | Kähler-Yang-Mills equations and gravitating vortices | Oscar Garcia-Prada (Consejo Superior de Investigaciones Científicas) | 2024-05-17 | 
        
            | Minimal surfaces and randomness | Antoine Song (Caltech) | 2024-05-10 | 
        
            | Some Unsolved Problems in Quantum and Classical Electromagnetics | Weng Cho Chew (Purdue University & University of Illinois) | 2024-04-26 | 
        
            | Automata and pseudocharacters from one-dimensional TQFTs with defects | Mikhail Khovanov (Columbia University & Johns Hopkins University) | 2024-04-19 | 
        
            | On the geometry of the Chern classes for singular varieties | José Antonio Seade Kuri (UNAM) | 2024-04-12 | 
        
            | Beilinson--Bloch--Kato Conjecture and Iwasawa theory for Rankin--Selberg motives | Yichao Tian (MCM, CAS) | 2024-03-22 | 
        
            | Asymptotic analysis for harmonic maps with prescribed singularities | Qing Han (University of Notre Dame) | 2024-03-08 | 
        
            | Fourier restriction type problems: New developments in the last 15 years | Ruixiang Zhang (UC Berkeley) | 2024-01-05 | 
        
            | Inverse Lax-Wendroff Procedure for Numerical Boundary Conditions | Chi-Wang Shu (Brown University) | 2023-12-29 | 
        
            | Singular stochastic partial differential equations:  more geometry and less combinatorics | Felix Otto | 2023-12-15 (cancelled) | 
        
            | Thurston's «broken windows only theorem» and «bounded image theorem» | Kenichi Ohshika | 2023-12-08 | 
        
            | Dynamics on character varieties and Hodge theory | Josh Lam (Humboldt University) | 2023-11-24 | 
        
            | Convergence of unitary representations and spectral gaps of manifolds | Michael Magee (Durham University) | 2023-11-17 | 
        
            | Geometry of Multidimensional Diophantine approximation and Diophantine exponents | Nikolay Moshchevitin (Israel Institute of Technology) | 2023-11-10 | 
        
            | Intersection cohomology in combinatorics | Botong Wang (University of Wisconsin-Madison) | 2023-11-03 | 
        
            | Two dimensional percolation and Liouville quantum gravity | Xin Sun (BICMR) | 2023-10-27 | 
        
            | An introduction to Resurgence | David Sauzin (CNRS-IMCCE, Paris Observatory) | 2023-10-25 | 
        
            | Geometry of the P=W conjecture and beyond | Junliang Shen (Yale University) | 2023-10-20 | 
        
            | Percolation Theory: Some Open Problems | Charles M. Newman (NYU) | 2023-10-13 | 
        
            | Modular forms, moduli and invariant theory | Gerard van der Geer (University of Amsterdam) | 2023-09-28 | 
        
            | An irregular Deligne-Simpson problem and Cherednik algebras | Zhiwei Yun (MIT) | 2023-09-22 | 
        
            | Mathematics of magic angles | Dr. Simon Becker (ETH Zurich) | 2023-09-08 | 
        
            | Computational methods for the dynamics of the nonlinear Schroedinger/Gross-Pitaevskii equations | Weizhu Bao (National University of Singapore) | 2023-06-16 | 
        
            | BSD in higher dimensions | Yifeng Liu (Zhejiang University) | 2023-06-12 | 
        
            | Nonnegative Ricci curvature, nilpotency, and asymptotic geometry | Jiayin Pan (University of California, Santa Cruz) | 2023-06-09 | 
        
            | Conductivity Imaging using Deep Neural Networks | Bangti Jin (The Chinese University of Hong Kong) | 2023-06-02 | 
        
            | Hidden algebraic structures in geometry from quantum field theory | Du Pei (University of Southern Denmark) | 2023-05-26 | 
        
            | On the Geometry of Landau-Ginzburg Model | Huijun Fan (Peking University) | 2023-05-19 | 
        
            | Spaces of norms and Geometric Invariant Theory | Sébastien Boucksom (CNRS) | 2023-05-12 | 
        
            | Geometry of moduli spaces of quadratic differentials and applications | Martin Möller (Goethe-Universität Frankfurt) | 2023-04-28 | 
        
            | An introduction to rigid local systems | Michael Groechenig (University of Toronto) | 2023-04-21 | 
        
            | KLEINIAN GROUPS IN SEVERAL COMPLEX VARIABLES | José Antonio Seade Kuri (UNAM) | 2023-04-14 | 
        
            | Homological conjectures and singularities in mixed characteristic | Linquan Ma (Purdue University) | 2023-04-07 | 
        
            | Machine intelligence and network science for complex systems big data analysis | Carlo Vittorio Cannistraci (Tsinghua University) | 2023-03-24 | 
        
            | Reflections on the Hodge Conjecture from an Arithmetic Geometer | James D. Lewis (University of Alberta) | 2023-03-31 | 
        
            | Settling the Efficiency of the First-Price Auction | Pinyan Lu (Shanghai University of Finance and Economics) | 2023-03-16 | 
        
            | Canonical tuples of matrices | Daniel Litt (University of Toronto) | 2023-03-17 | 
        
            | On Grothendieck's Algebraicity Conjecture and random matrices | Maxim KONTSEVICH (IHÉS) | 2023-03-06 | 
        
            | Lagrangian correspondence and its application to Floer theory | Kenji Fukaya (Stony Brook University) | 2023-02-24 | 
        
            | Renormalization and Rigidity in Dynamical Systems | Konstantin Khanin (University of Toronto) | 2022-12-28 | 
        
            | On stationary measure rigidity and orbit closures for actions of non-abelian groups | Alex Eskin (The University of Chicago) | 2022-12-23 | 
        
            | Link homology and foams | Mikhail Khovanov (Columbia University) | 2022-12-16 | 
        
            | Some random recursive systems in probability theory | Shi Zhan (CAS) | 2023-03-10 | 
        
            | Holomorphic Floer Theory and exponential integrals | Prof.Yan Soibelman (Kansas State University) | 2022-12-09 | 
        
            | Homeomorphisms of Euclidean space | Prof.Oscar Randal-Williams(University of Cambridge) | 2022-11-25 | 
        
            | From condensed matter theory to sub-wavelength physics | Prof. Habib Ammari (ETH Zürich) | 2022-11-18 | 
        
            | A constructive proof of finite time blowup of 3D incompressible Euler equations with smooth data | Prof.Thomas Y. Hou (California Institute of Technology) | 2022-11-18 | 
        
            | Dowling-Wilson conjecture and equivariant compactification of the vector group | Prof. Botong Wang(University of Wisconsin-Madison) | 2022-11-11 | 
        
            | Unramified correspondance and virtual homology of mapping class groups | Prof. Vladimir Markovic (University of Oxford) | 2022-11-15 | 
        
            | Representation theory and a little bit of quantum field theory | Prof. Ben Webster(University of Waterloo) | 2022-11-11 | 
        
            | Constructing  algebraic solutions of Painleve VI equation from p-adic Hodge theory and Langlands correspondence | Prof. Zuo Kang(Wuhan University) | 2022-11-04 | 
        
            | Mathematical imaging--From geometric PDEs and variational modelling to deep learning for images | Prof.Carola-Bibiane Schönlieb(University of Cambridge) | 2022-10-28 | 
        
            | Modularity of arithmetic theta series | Zhang Zhiyu (MIT) | 2022-10-21 | 
        
            | Non-abelian Hodge theory and higher Teichmüller spaces | Prof. Oscar García-Prada (Instituto de Ciencias  Matemáticas) | 2022-10-18 | 
        
            | Perverse sheaves on affine flag varieties and coherent sheaves on the dual Steinberg variety | Prof. Simon Riche (Université Clermont Auvergne) | 2022-10-14 | 
        
            | Localization Schemes: A Framework for proving mixing bounds in Markov chains | Prof.Ronen Eldan (Weizmann Institute of Science) | 2022-10-07 | 
        
            | Data-driven optimization --- Integrating data sampling, learning, and optimization | Prof.Wei Chen (Microsoft Research Asia) | 2022-09-30 | 
        
            | Model Selection for Optimal Regression Learning | Prof.Yuhong Yang(University of Minnesota) | 2022-09-23 | 
        
            | Superconvergence of Discontinuous Galerkin Methods (间断有限元超收敛) | Prof.Zhang Zhimin (Wayne State University ) | 2022-09-16 | 
        
            | Energetic Variational Approaches  in  Active Materials and Reactive Fluids | Prof.Chun Liu (Illinois Institute of Technology) | 2022-06-09 | 
        
            | The geometry of k-Ricci curvature and a Monge-Ampere equation | Prof.Ni Lei(UCSD) | 2022-06-02 | 
        
            | Symmetry and uniqueness via a variational approach | Prof.Yao Yao(National University of Singapore) | 2022-05-27 | 
        
            | MSP theory and BCOV Feynman rule | Prof.Huai-Liang Chang (HKUST) | 2022-05-20 | 
        
            | Sparsity—The Beauty of Less is More | Prof. Raymond Hon-fu Chan (City University of Hong Kong) | 2022-05-13 | 
        
            | Rainbow structures, Latin squares & graph decompositions | Prof. Benny Sudakov (ETH Zurich) | 2022-05-06 | 
        
            | Geometries of affine Deligne-Lusztig varieties | Prof. Sian Nie (AMSS) | 2022-04-29 | 
        
            | Projection theorems and applications | Prof. Hong Wang(UCLA) |  2022-4-8 | 
        
            | Kähler-Einstein metrics and K-stability of Fano varieties | Dr. Ziquan Zhuang (MIT) |  2022-4-22 | 
        
            | Geometric Bogomolov conjecture in arbitrary characteristics | Prof. Junyi Xie ( BICMR, Peking university) | 2022-4-15 |