Icm 2026 Public Lecture Talithia Williams

Summary

Between Numbers and People: The Art of Mathematical Communication ~ athematics shapes the modern world, from medicine ... Mathematics in the Age of AI ~ Current AI tools, when combined with formal verification and modern collaboration platforms, are ... Bridges to Translational Tilings: From Domino to p-adic Sudoku. Predictive Inference and Inverse Probability We consider the construction of prior-free posterior distributions for parameters of ... Moduli Spaces of Graphs Finite metric graphs represent processes and objects in many different areas of mathematics and ... Automorphic Density Theorems and Applications An automorphic density theorem quantifies to what extent the Ramanujan ... Hard Lefschetz Phenomena and Lie Algebra Actions I will present several instances where interesting vector spaces, such as ... Multi-Bubble Isoperimetric Problems The classical isoperimetric inequality in Euclidean space Rn states that among all sets of ... Mixed Non-Abelian Hodge Theory and the Linear Shafarevich Conjecture For a complex algebraic variety X, classical Hodge ... Synthetic Perspectives on Higher Structures Through painstaking work, higher structures, such as weak infinite-dimensional ... Estimation in Linear High Dimensional Hawkes Processes: A Bayesian Approach In this paper we study the frequentist properties ... On Geometric Models in Representation Theory Geometric models have emerged as an important tool in the representation ... Minimal Surfaces and Comparison Geometry We discuss applications of area-minimization to the study of curvature in ... Persistent Homology: Representation-Theoretic Foundations and Applications Topological data analysis (TDA) is an emerging ... Spin Glasses and the Parisi Formula Spin glasses are models of statistical mechanics in which a large number of simple elements ...