I am the associate chair for undergraduate studies in C&O. You can email questions to coundergrad.officer@uwaterloo.ca (do not send advising questions to my personal email) or book a virtual appointment through this link. Virtual meetings use Microsoft Teams – please make sure Teams is installed and updated to the latest version before the start of our call.

I’ve written a set of lecture notes and two textbooks,

• An Invitation to Enumeration (online lecture notes). An elementary introduction to enumerative combinatorics for math undergrads working up to the basics of analytic combinatorics.

• An Invitation to Analytic Combinatorics: From One to Several Variables (Springer). A gentle introduction to analytic combinatorics and analytic combinatorics in several variables (ACSV), focused on explicit computational methods.

• Analytic Combinatorics in Several Variables, 2nd Edition (Cambridge, with R. Pemantle and M. C. Wilson). The most complete and expansive treatment of ACSV, making use of topological methods to present a comprehensive framework for studying multivariate generating functions.

These references give a pathway from first year university mathematics to the frontiers of research in analytic combinatorics.

You should also try our sage_acsv package that will rigorously do (much of) it for you – feedback always welcome!

News / Events

MPI Leipzig Lecture Series, June 2026

An Invitation to Analytic Combinatorics

ISSAC 2026 Program Committee, July 2026

At Oldenburg, Germany

Joined CanaDAM Executive Committee, May 2025

Next event in Kelowna, BC in 2027

FPSAC 2025 (Plenary Speaker), July 2025

At Hokkaido University, Japan

Joined AofA Steering Committee, June 2024

Next event in Munich (2026)

Analytic Combinatorics in Several Variables, 2nd Edition Now Available

An Invitation to Analytic Combinatorics hits 14k chapter downloads

Map to Office

My office is MC 6028 (click for a larger version).

Coauthors

Yuliy Baryshnikov, Alin Bostan, Mireille Bousquet-Mélou, Sophie Burrill, Jeremy Chizewer, Julien Courtiel, Ruiwen Dong, Éric Fusy, Torin Greenwood, Benjamin Hackl, Kevin Hyun, Veronika Irvine, Manuel Kauers, Jessica Khera, Alexander Kroitor, Kisun Lee, Andreas Lenz, Erik Lundberg, Andrew Luo, Marc Mezzarobba, Marcus Michelen, Marni Mishna, Somabha Mukherjee, J. Ian Munro, Greta Panova, Robin Pemantle, Ava Pun, Kilian Raschel, Cyrus Rashtchian, Frank Ruskey, Tiadora Ruza, Bruno Salvy, Éric Schost, Jesse Selover, Paul H. Siegel, Josip Smolčić, Catherine St-Pierre, Armin Straub, Mark Wilson, Elaine Wong