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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 recent Notices of the AMS article. More details can be found on my research page.

Previously I was a CRM-ISM postdoctoral fellow at LaCIM UQAM (2019-2020) and the University of Pennsylvania (2017-2019). In 2017 I completed doctorates at the University of Waterloo and the École normale supérieure de Lyon.

Analytic Combinatorics in Several Variables

I am a long-term organizer of the analytic combinatorics in several variables project and maintain its website, acsvproject.com. Currently I am under contract to publish two textbooks on this topic.

  • An Invitation to Analytic Combinatorics: From One to Several Variables
    S. Melczer. Springer Texts & Monographs in Symbolic Computation.
    In press, expected late 2020
    The submitted manuscript is available on the 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

The first book is an introductory treatment of this material, 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 Events

AMS Math Research Community (Summer 2021)

I’m co-organizing an MRC, Combinatorial Applications of Computational Geometry and Algebraic Topology to introduce young researchers in computational algebra, combinatorics, analysis, or algebraic topology to new research directions in enumerative combinatorics.

Mathematical Congress of the Americas (July 2021)

I’ll (virtually) be participating in the Symbolic Computation: Theory, Algorithms and Applications session.

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