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 MATH 581 at Penn in
Spring 2019 is 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
- 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.
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
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.