Steve Melczer, University of Waterloo

Research

Read how they describe their research on their University of Waterloo profile.

Latest papers

Multivariate Analytic Combinatorics for Cost Constrained Channels
IEEE Transactions on Information Theory · 2025
Succinct encodings of binary trees with application to AVL trees
Theoretical Computer Science · 2025
A SageMath Package for Analytic Combinatorics in Several Variables: Beyond the Smooth Case
arXiv (Cornell University) · 2025

All 63 publications

63 publications.

01

Multivariate Analytic Combinatorics for Cost Constrained Channels

Andreas Lenz, Stephen Melczer, Cyrus Rashtchian, Paul H. Siegel

IEEE Transactions on Information Theory20252 citations

DOI: 10.1109/tit.2025.3603494

02

Succinct encodings of binary trees with application to AVL trees

Jeremy Chizewer, Stephen Melczer, J. Ian Munro, Ava Pun

Theoretical Computer Science2025Open Access

DOI: 10.1016/j.tcs.2025.115537

03

A SageMath Package for Analytic Combinatorics in Several Variables: Beyond the Smooth Case

Benjamin Hackl, Andrew Luo, Stephen Melczer, Éric Schost

arXiv (Cornell University)2025Open Access

DOI: 10.48550/arxiv.2504.09790

04

Combinatorial Enumeration

Robin Pemantle, Mark Curtis Wilson, Stephen Melczer

Cambridge University Press eBooks2024977 citationsSenior author

DOI: 10.1017/9781108874144.003

05

Analytic Combinatorics in Several Variables

Robin Pemantle, Mark Curtis Wilson, Stephen Melczer

Cambridge University Press eBooks202413 citationsSenior author

DOI: 10.1017/9781108874144

06

Asymptotics of multivariate sequences in the presence of a lacuna

Yuliy M. Baryshnikov, Stephen Melczer, Robin Pemantle

Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions20243 citationsOpen Access

DOI: 10.4171/aihpd/182

07

Completing the Asymptotic Classification of Mostly Symmetric Short Step Walks in an Orthant

Alexander Kroitor, Stephen Melczer

Annals of Combinatorics20241 citationsSenior author

DOI: 10.1007/s00026-024-00739-6

08

Central Limit Theorems via Analytic Combinatorics in Several Variables

Stephen Melczer, Tiadora Ruza

The Electronic Journal of Combinatorics20241 citationsFirst authorOpen Access

DOI: 10.37236/11732

09

Completing the Asymptotic Classification of Mostly Symmetric Short Step Walks in an Orthant

Alexander Kroitor, Stephen Melczer

arXiv (Cornell University)2024Senior authorOpen Access

DOI: 10.48550/arxiv.2401.00837

10

Computing error bounds for asymptotic expansions of regular P-recursive sequences

Ruiwen Dong, Stephen Melczer, Marc Mezzarobba

Mathematics of Computation20237 citationsOpen Access

DOI: 10.1090/mcom/3888

Frequent collaborators

Cheriton School of Computer Science
Department of Combinatorics and Optimization
Department of Mathematics

Co-authors at University of Waterloo, colored by department. Thicker lines mean more shared papers; select anyone to open their profile and their own map.

Stephen Melczer

Department of Combinatorics and Optimization

63 shared papers, latest 2025

Marni Mishna

Department of Mathematics

9 shared papers, latest 2020

Ian Munro

Cheriton School of Computer Science

2 shared papers, latest 2025

Éric Schost

Cheriton School of Computer Science

2 shared papers, latest 2025

J. Munro

Cheriton School of Computer Science

2 shared papers, latest 2025

Frank Ruskey

Department of Computer Science

1 shared papers, latest 2019

Write to this professor

A short, specific email works best. This draft uses one of their recent papers; replace the parts in brackets with your own details before sending.

Applying for

Paper to mention

Subject: Prospective PhD student Dear Professor Melczer, My name is [your name], and I am a [your current degree or role] at [your institution]. I am applying for a PhD position starting in [term and year]. I read your paper "Multivariate Analytic Combinatorics for Cost Constrained Channels" (2025), and it connects closely to my own work on [your research topic]. [One or two sentences on what you did and what you learned.] Are you accepting new PhD students for [term and year]? I have attached my CV and transcripts, and I would be glad to talk at a time that suits you. Thank you for your time. Kind regards, [your name]