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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
    Undergoing editing, expected late 2020 or 2021
    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, while the second is a more advanced treatment making extensive use of homology, multivariate residues, and similar constructions.

Upcoming Events

AMS Math Research Community (Spring 2021)

I'm co-organizing an MRC, Combinatorial Applications of Computational Geometry and Algebraic Topology, aimed at introducing young researchers (between -2 and +5 years post PhD) in computational algebra, combinatorics, analysis, or algebraic topology to new research directions in enumerative combinatorics. [Delayed from 2020 due to the coronavirus]

2020 Conferences

All 2020 conferences are currently canceled or delayed due to the coronavirus.

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, 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