The Floer Jungle traces the development of Floer theory while portraying the life of mathematician Andreas Floer (1956-1991), whose ideas transformed geometry and topology. Blending mathematical exposition with biography, it reconstructs the existing ideas, and introduces the main characters, describing their interactions, their judgements and ......
This book presents a rich, insightful exploration of the interplay between randomness, the Riemann Hypothesis, and analytic number theory. Written for readers with a moderate background in mathematics (preferably having some familiarity with probability theory and complex analysis), it offers a deeper and more comprehensive account of the Riemann ......
Over the past forty years, a substantial body of work has appeared centered around the syzygies of algebraic varieties. Classical results about defining equations have emerged as the first cases of a much more general picture involving higher syzygies. Moreover, as computer-assisted computations have become practical, Castelnuovo-Mumford ......
This volume contains the proceedings of the LMFDB, Computation, and Number Theory (LuCaNT) 2025 conference, held at the Institute for Computational and Experimental Research in Mathematics (ICERM), from July 7-11, 2025, in Providence, Rhode Island. This conference provided an opportunity for researchers, scholars, and practitioners to exchange ......
This volume contains the proceedings of the Homotopical Methods in Geometry and Physics Conference in honor of the 60th birthday of Ezra Getzler held at Northwestern University in Evanston, Illinois, on March 21-25, 2022. It includes papers on geometry and topology of moduli spaces and configuration spaces, on theory of operads, and on ......
This volume contains the proceedings of the Workshop on Higher Segal Spaces and their Applications to Algebraic $K$-Theory, Hall Algebras, and Combinatorics, held from January 21 to 26, 2024, at the Banff International Research Station, Banff (AB), Canada. This book is a collection of ten expository papers providing an introduction to the theory ......
Articles in this volume are based on talks given at the special session ""Dynamical Systems: Statistical Properties, Spectral Theory, and Fractal Geometry"" at the AMS Sectional Meeting held at University of Texas at San Antonio on September 14-15, 2024. The authors discuss topics at the intersection of dynamical systems, ergodic theory, fractal ......
An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric ......
This volume contains the proceedings of the AMS Special Session on Inverse Problems at the AMS Fall Western Sectional Meeting, held from October 22-23, 2022, at the University of Utah, Salt Lake City, Utah. This book presents a wide variety of high-quality research in Reshetikhin-Turaev invariants, Khovanov homology, quantum groups, topological ......
