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 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
- 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 enumerative combinatorics, symbolic computation / computer algebra, 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.