Here are the books I have written on mathematical physics.

## Advanced topics in quantum mechanics

*Advanced topics in quantum mechanics*(Cambridge University Press, 2021) is my most recent book. It has roughly speaking two parts. The first part is a detailed introduction to the exact WKB method with traditional tools. The second part is a presentation of the two alternative formulations of quantum mechanics: the well-known path integral formulation, and the less known phase-space or Wigner formulation.

## Instantons and large *N*

*Instantons and large N*(Cambridge University Press, 2015) is, as its subtitle indicates, an introduction to these two non-perturbative methods in quantum field theory. The book is intended for graduate students and researchers. It is one of the few textbooks which discusses the basics of the theory of resurgence (one can actually go far with what is explained here) and large

*N*instantons, among other things.

## Chern-Simons theory, matrix models and topological strings

This book, published by Oxford University Press in 2005, is more specialized. It provides a succinct introduction to the interactions between the large

**N limit of Chern-Simons theory and matrix models, and topological string theory. It might be useful for experts or prospective researchers who want to understand better the Gopakumar-Vafa duality or the topological vertex formalism.## Topological quantum field theory and four-manifolds

This book, written with my former Ph.D. supervisor Jose Labastida, and published by Springer in 2005, was my first one. It is also quite specialized. Our goal was to provide a direct path from the basics to Witten's magic formula and to Moore and Witten's u-plane integral. It will be useful for people willing to learn the applications of supersymmetric gauge theory to four-manifolds, which constitutes one of the most dramatic successes of quantum field theory in mathematics.