About Me

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 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 (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-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.

Research Interests

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 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.