Algebraic geometry Arithmetic rings and other special rings Category theory; homological algebra Cluster algebras Commutative algebra Cycles and subschemes Dynamical systems and ergodic theory Free probability and free operator algebras Functional analysis General theory of topological algebras Group theory and generalizations Homological methods Infinite-dimensional holomorphy Instructional exposition (textbooks, tutorial papers, etc.) Local cohomology Low-dimensional dynamical systems Mathematicians Mathematics Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) Representation theory of groups Representations of infinite symmetric groups Riemann-Roch theorems Rotation numbers and vectors Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$- ) algebras, etc.) Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) Topological algebras, normed rings and algebras, Banach algebras Women mathematicians