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Office - MC 6028

smelczer (at) uwaterloo.ca

1-519-888-4567 x41282

I’m an assistant professor in the Department of Combinatorics and Optimization at the University of Waterloo, interested in leveraging computational algebraic geometry, analysis, and topology to create effective tools for combinatorics, computer science, and mathematics.

A short overview of some of my research interests can be found in this Notices of the AMS article or this grad course outline. More details can be found on my research page.

Previously I was a CRM-ISM postdoctoral fellow at UQAM (2019 – 2020) and a postdoc at the University of Pennsylvania (2017 – 2019). I received doctorates from the École normale supérieure de Lyon and the University of Waterloo in 2017.

I organize Waterloo’s Tutte Colloquium.

Analytic Combinatorics in Several Variables

I am a long-term organizer of the analytic combinatorics in several variables project and am involved in two textbooks on the topic.

  • An Invitation to Analytic Combinatorics: From One to Several Variables
    S. Melczer.
    Springer Texts & Monographs in Symbolic Computation, 2021.
    Book webpage

  • Analytic Combinatorics in Several Variables, 2nd Edition
    R. Pemantle, M. C. Wilson and S. Melczer.
    Cambridge Studies in Advanced Mathematics.
    Expected late 2022
    ACSV project webpage

The first book is an introductory treatment, suitable for students and those new to the area, while the second is a more advanced treatment making extensive use of homology, multivariate residues, and similar constructions.

Upcoming and Recent Events

An Invitation to Analytic Combinatorics Textbook Published by Springer

Details on the book webpage

American Institute of Mathematics (AIM), April 2022

Workshop on analytic combinatorics in several variables

ALEA Days (Mini-Course Instructor), March 2021

At the CIRM in Marseille-Luminy

Analysis of Algorithms 2022 (Program Committee), June 2022

University of Pennsylvania, Philadelphia

Map to Office

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

Coauthors

Yuliy Baryshnikov, Alin Bostan, Mireille Bousquet-Mélou, Sophie Burrill, Erin Compaan, Julien Courtiel, Éric Fusy, Torin Greenwood, Kevin Hyun, Veronika Irvine, Manuel Kauers, Jessica Khera, Andreas Lenz, Erik Lundberg, Marc Mezzarobba, Marcus Michelen, Marni Mishna, Somabha Mukherjee, Greta Panova, Robin Pemantle, Kilian Raschel, Cyrus Rashtchian, Frank Ruskey, Tiadora Ruza, Bruno Salvy, Éric Schost, Paul H. Siegel, Catherine St-Pierre, Armin Straub, Mark Wilson