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smelczer (at) uwaterloo.ca

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. 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 Algebraic and Enumerative Combinatorics Seminar.

I am periodically taking graduate students, contact me if interested.
(Eventually you will need to apply through our department application process)

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 2021 or 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

Textbook Published

An Invitation to Analytic Combinatorics has now been published by Springer! Details can be found on the book webpage.

CanaDAM Minisymposium (Organizer, May 2021)

Come to the New Trends in Analytic Combinatorics minisymposium at CanaDAM 2021.

AMS Math Research Community (Co-Organizer, June 2021)

The MRC Combinatorial Applications of Computational Geometry and Algebraic Topology aims to introduce young researchers (PhD / postdoc) in computational algebra, combinatorics, analysis, or algebraic topology to new research directions in enumerative and analytic combinatorics.

CIRM Lattice Path Workshop (Speaker, June 2021)

Come to the Lattice Paths, Combinatorics and Interactions conference, hosted virtually at the CIRM Marseille-Luminy.

Mathematical Congress of the Americas (Speaker, July 2021)

Come to the Symbolic Computation: Theory, Algorithms and Applications session, hosted virtually by the University of Buenos Aires.

SIAM Conference on Applied Algebraic Geometry (Co-Organizer, August 2021)

Come to the Symbolic Combinatorics minisymposium at SIAM AG21, hosted virtually by Texas A&M University.

Coauthors

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