Research

Below is a listing of my publications, invited talks, academic service, and similar things.
This page is updated slightly less than my CV.
Student supervision is listed on my Teaching page.

Click the Cite button below a publication to retrieve its bibtex entry.

Books

An Invitation to Analytic Combinatorics: From One to Several Variables

An account of analytic combinatorics (in one and several variables) aimed at students in math and computer science. This book has a large computational focus, including a long list of examples and software implemented in computer algebra systems.

Analytic Combinatorics in Several Variables, 2nd Edition

Treatment of multivariate generating functions, singularity analysis, and limit theorems in combinatorics for researchers in mathematics.

Submitted Articles

Asymptotic bounds on graphical partitions and partition comparability

Asymptotic Enumeration of Lonesum Matrices

Asymptotics of multivariate sequences in the presence of a lacuna

Critical points at infinity for analytic combinatorics

Counting partitions inside a rectangle

Journal version of extended abstract in Proceedings of FPSAC 2019

Journal Articles

Counting walks with large steps in an orthant

Combinatorial Adventures in Analysis, Algebra, and Topology

Higher Dimensional Lattice Walks: Connecting Combinatorial and Analytic Behavior

Vertically constrained Motzkin-like paths inspired by bobbin lace

A Fast Algorithm for Solving Linearly Recurrent Sequences

Weighted lattice walks and universality classes

Tableau sequences, open diagrams, and Baxter families

On 3-dimensional lattice walks confined to the positive octant

Asymptotic lattice path enumeration using diagonals

Extended abstract in DMTCS Proceedings of AofA 2014

Singularity analysis via the iterated kernel method

Extended abstract in DMTCS Proceedings of FPSAC 2013

Proceedings Papers

Change of Basis for M-primary Ideals in One and Two Variables

Diagonal asymptotics for symmetric rational functions via ACSV

Asymptotics of lattice walks via analytic combinatorics in several variables

Symbolic-Numeric Tools for Analytic Combinatorics in Several Variables

A Baxter class of a different kind, and other bijective results using tableau sequences ending with a row shape

Ink-constrained halftoning with application to QR codes

See also my complete arXiv listing and my OrcID page

Selected Invited Talks

Event / Institute Location Session / Workshop Date
SIAM-CAIMS Joint Annual Meeting Toronto Symbolic Computation and Special Functions Delayed by CoVID
Foundations of Computational Mathematics Vancouver Graph Theory and Combinatorics Delayed by CoVID
Banff International Research Station (BIRS) Alberta Asymptotic Algebraic Combinatorics March 2019
AMS/MAA Joint Math Meeting Baltimore AMS Session on Enumerative Combinatorics January 2019
Research Institute for Symbolic Computation / JKU Linz Linz, Austria Algorithmic and Enumerative Combinatorics Summer School July 2018
Ontario Research Centre for Computer Algebra University of Western Ontario Annual Meeting May 2018
Tutte Colloquium University of Waterloo April 2018
AMS/MAA Joint Math Meeting San Diego AMS Session on Applied and Computational Combinatorics January 2018
Erwin Schrödinger Institute Vienna Programme on Algorithmic and Enumerative Combinatorics November 2017
SIAM Conference on Applied Algebraic Geometry Georgia Tech, Atlanta New Trends in Polynomial System Solving Minisymposium August 2017
Journées de combinatoire de Bordeaux Laboratoire Bordelais de Recherche en Informatique (LaBRI) January 2016
Fields Institute Thematic Program on Computer Algebra Toronto Workshop on Symbolic Combinatorics and Computational Differential Algebra September 2015
SIAM Conference on Applied Algebraic Geometry Colorado State, Fort Collins Symbolic Combinatorics Minisymposium August 2013

Academic Service

AMS Mathematics Research Community 2021 Co-organizer, Rhode Island
Combinatorial Applications of Computational Topology and Algebraic Geometry
With Marni Mishna and Robin Pemantle

ISSAC 2019 Poster Program Committee, Beijing, China
44th International Symposium on Symbolic and Algebraic Computation (ISSAC)

SIAM Applied Algebraic Geometry 2019 Minisymposium Co-organizer, Bern, Switzerland
Symbolic Combinatorics (Contributed Minisymposium)
With Shaoshi Chen and Manuel Kauers

International Congress of Mathematical Software 2018 Program Committee
Session Chair and Organizer, Symbolic Combinatorics
University of Notre Dame, South Bend, Indiana

Penn Undergraduate Math Society Faculty Contact (2018–2019)

2017 BIRS Workshop Co-organizer, Banff, Alberta
Lattice walks at the Interface of Algebra, Analysis, and Combinatorics
With Mireille Bousquet-Mélou, Marni Mishna, and Michael Singer

SIAM Applied Algebraic Geometry 2017 Minisymposium. Co-organizer, Georgia Tech
Symbolic Combinatorics (Contributed Minisymposium)
With Shaoshi Chen, Manuel Kauers, and Michael Singer

FPSAC 2016 Organizing Committee, Simon Fraser University, Vancouver
28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC)

CanaDAM 2015 Minisymposium Organizer and Chair, University of Saskatchewan
Automated analysis of combinatorial structures (Contributed Minisymposium)

Referee For

The Ramanujan Journal, Electronic Journal of Combinatorics, Discrete Mathematics, Theoretical Computer Science, Journal of Integer Sequences, Online Journal of Analytic Combinatorics, DMTCS Proceedings of FPSAC, ACM Proceedings of ISSAC, Proceedings of Analysis of Algorithms (AofA), Proceedings of International Congress of Mathematical Software (ICMS). Reviewer for Mathematical Reviews.

Selected Seminar Presentations

Seminar Location Date
UMass Amherst Discrete Math Seminar Amherst MA March 2020
Séminaire Combinatoire et Informatique du LaCIM Montreal October 2019
Drexel University Analysis Seminar Philadelphia April 2019
University of Toronto Probability Seminar Toronto January 2019
University of Toronto CS Theory Group Seminar Toronto October 2018
Courant-CUNY Kolchin Seminar in Differential Algebra New York September 2018
University of Waterloo Algebraic Combinatorics Seminar Waterloo August 2018
Hofstra University Mathematics Seminar Long Island April 2018
SFU Discrete Math and Computer Algebra Seminars Vancouver March 2018
University of Illinois Probability Seminar Urbana-Champaign January 2018
University of Delaware Probability Seminar Newark DE November 2017
Penn/Temple Probability Seminar Philadelphia October 2017
Philadelphia Combinatorics, Algebra, and Geometry Seminar Philadelphia September 2017
University of Waterloo Symbolic Computation Seminar Waterloo May 2017
UCLA Combinatorics Seminar Los Angeles January 2017
York University Applied Algebra Seminar Toronto January 2017
University of Carleton Combinatorics Seminar Ottawa October 2016
SpecFun Computations and Proofs Seminar École Polytechnique June 2016
RISC Algorithmic Combinatorics Seminar Hagenberg June 2016
Arithmetic and Computing Seminar ENS Lyon June 2016
Seminar Algebra und Diskrete Mathematik JKU Linz June 2016
Combinatoire et Théorie des Nombres, Institut Camille Jordan Lyon October 2015
LaBRI Séminaire de Combinatoire Bordeaux October 2015
LIPN Séminaire de combinatoire Paris December 2012
Inria - Microsoft Research Joint Lab Seminar École Polytechnique October 2012
LIAFA Séminaire Université Paris 7 Diderot October 2012
INRIA Algorithms Seminar Université Paris 11 May 2012