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CRM - ISM Postdoctoral Fellow

smelczer (at) sas.upenn.edu

I'm a postdoc in Montreal (LaCIM / UQAM / CRM) interested in leveraging computational algebraic geometry, analysis, and topology to create effective tools for mathematics, combinatorics, and computer science.

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

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.

My office is PK-4130 at LaCIM.

Analytic Combinatorics in Several Variables

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

  • An Invitation to Analytic Combinatorics in Several Variables
    S. Melczer
    Springer Texts & Monographs in Symbolic Computation
    Expected in print late 2020 / early 2021
    (An introductory treatment for graduate students, based off my PhD thesis)

  • Analytic Combinatorics in Several Variables, 2nd Edition
    R. Pemantle, M. C. Wilson and S. Melczer
    Cambridge Studies in Advanced Mathematics
    Expected late 2021
    (A more advanced treatment using homology, multivariate residues, and similar constructions)

News

AMS Math Research Community

In 2020 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. The main activity of this program is a one week (funded) workshop / summer school at the beginning of June. Details can be found here.

Summer 2020 Conferences

In addition to the MRC, this year I'll be at the Foundations of Computational Mathematics conference in June (speaking in the Graph Theory and Combinatorics workshop) and the SIAM-CAIMS Joint Annual Meeting in July (speaking in the Symbolic Computation and Special Functions workshop).

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, Marni Mishna, Greta Panova, Robin Pemantle, Kilian Raschel, Frank Ruskey, Bruno Salvy, Éric Schost, Catherine St-Pierre, Armin Straub, Mark Wilson