Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations

Solving Mathematical Problems: A Personal Perspective

The $K$-book: An Introduction to Algebraic $K$-theory

Combinatorial Game Theory

Matrix Theory

Introduction to Smooth Ergodic Theory

Mathematics of Probability

Compactness and Contradiction

Introduction to 3-Manifolds

What Is Mathematics?: An Elementary Approach to Ideas and Methods, Edition 2

An Introduction to Extremal Kahler Metrics

Hilbert's Fifth Problem and Related Topics

Basics of Math

A Course in Complex Analysis and Riemann Surfaces

An Introduction to the Representation Theory of Groups

Poincare's Legacies, Part II: Pages from Year Two of a Mathematical Blog