I'm a Postdoctoral Fellow at the University of Pennsylvania
in Philadelphia. From 2014 until 2017 I was a
cotutelle (joint degree) doctoral student at the University
of Waterloo and the École normale supérieure de Lyon,
supervised by George Labahn (Waterloo) and Bruno Salvy (ENS
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.
My CV is available here.
In May 2014 I successfully defended my Masters thesis
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-MSR 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.
I'm interested in enumerative combinatorics, symbolic computation, and complex analysis -- with a current focus on combining tools from computer algebra and the new area of analytic combinatorics in several variables to give effective tools for finding asymptotics of D-finite functions.
Contact MeYou can reach me by email at smelczer (at) sas.upenn.edu
My office at Penn is room 4C3 in the David Rittenhouse Laboratory.