About Me

I'm a Postdoctoral Fellow at the University of Pennsylvania in Philadelphia. From 2014 until 2017 I was a cotutelle (dual degree) doctoral student at the University of Waterloo and the École normale supérieure de Lyon, supervised by George Labahn (Waterloo) and Bruno Salvy (ENS Lyon).

My CV is available here.

My PhD thesis is available here; it focuses on effective methods for determining asymptotics of sequences which arise in several areas of mathematics, computer science, and related domains like physics. The thesis also gives a pedagogical introduction to the (relatively new) topic of Analytic Combinatorics in Several Variables, with a focus on explicit computations. Enumerating lattice paths restricted to certain regions gives a large collection of problems to which the methods of ACSV can be applied, and the thesis explores this relationship in depth.

The course website for MATH 104 at Penn in Fall 2018 is hosted on Canvas here.

The course website for the 2018 RISC AEC Summer School is here.

In May 2014 I successfully defended my Masters thesis (available here) at Simon Fraser University in metro Vancouver. I received my BSc Honours in Mathematics from SFU in June 2012, and spent three months as a research intern (under Alin Bostan and Manuel Kauers) at the INRIA - Microsoft Research joint lab located in the École Polytechnique, near Paris.  For the fall of 2012 I returned to Paris for research related to my Masters degree which was completed under the supervision of Marni Mishna.

Research Interests

I'm interested in answering computability and complexity questions in enumerative combinatorics, using tools from symbolic computation / computer algebra, complex analysis, and other areas of algebra and geometry.

Coauthors in Academia

Yuliy Baryshnikov
Alin Bostan
Mireille Bousquet-Mélou
Sophie Burrill
Erin Compaan
Julien Courtiel
Eric Fusy
Kevin Hyun
Veronika Irvine
Manuel Kauers
Marni Mishna
Greta Panova
Robin Pemantle
Kilian Raschel
Frank Ruskey
Bruno Salvy
Catherine St-Pierre
Armin Straub
Mark Wilson

Contact Me

You can reach me by email at smelczer (at) sas.upenn.edu
My office at Penn is room 4C3 in the David Rittenhouse Laboratory.