Research

Below is a listing of my publications, invited talks, academic service, and similar things.
Student supervision is listed on my Teaching page.

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

Books

(2021). An Invitation to Analytic Combinatorics: From One to Several Variables. Springer Texts & Monographs in Symbolic Computation.

Book Website and Manuscript Publisher Website

(2021). Analytic Combinatorics in Several Variables, 2nd Edition. Cambridge Studies in Advanced Mathematics, CUP (in preparation).

Webpage

Submitted

(2021). Multivariate Analytic Combinatorics for Cost Constrained Channels and Subsequence Enumeration. Submitted.

arXiv

(2021). Asymptotics of multivariate sequences in the presence of a lacuna. Submitted.

arXiv Version

(2021). Sequence Positivity Through Numeric Analytic Continuation: Uniqueness of the Canham Model for Biomembranes. Submitted.

arXiv Version Interactive Code

Journal Articles

(2021). Stationary points at infinity for analytic combinatorics. To appear in Foundations of Computational Mathematics.

Journal Version arXiv Version Code

(2021). Effective Coefficient Asymptotics of Multivariate Rational Functions via Semi-Numerical Algorithms for Polynomial Systems. Journal of Symbolic Computation, Volume 103, 234–279.

Journal Version arXiv Version Maple Code

(2021). Asymptotic Enumeration of Lonesum Matrices. Advances in Applied Mathematics, Volume 123, 102–118.

Journal Version arXiv Version

(2021). Counting walks with large steps in an orthant. Journal of the European Mathematical Society, Volume 23 (7), 2221–2297.

Journal Version arXiv Version Code

(2020). Counting Partitions inside a Rectangle. SIAM Journal on Discrete Mathematics, Volume 34(4), 2388–2410.

Journal Version arXiv Version

(2020). Asymptotic bounds on graphical partitions and partition comparability. International Mathematics Research Notices, Volume 2021(4), 2842–2860.

Journal Version arXiv Version

(2020). Combinatorial Adventures in Analysis, Algebra, and Topology. Notices of the American Mathematical Society, Volume 67(2), 262–265.

Journal Version

(2019). Higher Dimensional Lattice Walks: Connecting Combinatorial and Analytic Behavior. SIAM Journal on Discrete Mathematics, Volume 33(4), 2140–2174.

Journal Version arXiv Version

(2019). Vertically constrained Motzkin-like paths inspired by bobbin lace. Electronic Journal of Combinatorics, Volume 26(2), P2.16.

Journal Version arXiv Version

(2019). A Fast Algorithm for Solving Linearly Recurrent Sequences. ACM Communications in Computer Algebra, Volume 52(3), 100–103.

Journal Version arXiv Version

(2017). Weighted lattice walks and universality classes. Journal of Combinatorial Theory, Series A, Volume 152, 255–302.

Journal Version arXiv Version

(2016). Tableau sequences, open diagrams, and Baxter families. European Journal of Combinatorics, Volume 58, 144–165.

Journal Version arXiv Version

(2016). On 3-dimensional lattice walks confined to the positive octant. Annals of Combinatorics, Volume 20(4), 661–704.

Journal Version arXiv Version

(2016). Asymptotic lattice path enumeration using diagonals. Algorithmica, Volume 75(4), 782–811.

Journal Version arXiv Version Extended Abstract

(2014). Singularity analysis via the iterated kernel method. Combinatorics, Probability, and Computing, Volume 23(5), 861–888.

Journal Version arXiv Version Extended Abstract

Proceedings Papers

(2019). Change of Basis for M-primary Ideals in One and Two Variables. Proceedings of the ACM on ISSAC 2019, 227–234.

Journal Version arXiv Version

(2018). Diagonal asymptotics for symmetric rational functions via ACSV. LIPIcs Proceedings of Analysis of Algorithms, Volume 110, 1–12:15.

Published Version arXiv Version

(2016). Asymptotics of lattice walks via analytic combinatorics in several variables. DMTCS Proceedings of FPSAC 2016, 863–874.

Published Version arXiv Version

(2016). Symbolic-Numeric Tools for Analytic Combinatorics in Several Variables. Proceedings of the ACM on ISSAC, 333–340.

Journal Version arXiv Version

(2015). A Baxter class of a different kind, and other bijective results using tableau sequences ending with a row shape. DMTCS proceedings of FPSAC 2015, 369–380.

Published Version arXiv Version

(2014). Ink-constrained halftoning with application to QR codes. Proceedings of the SPIE, Volume 9015, 90150U–90150U-8.

Journal Version

Thesis

(2017). Analytic Combinatorics in Several Variables: Effective Asymptotics and Lattice Path Enumeration. PhD Thesis for University of Waterloo and ENS Lyon.

arXiv Version Waterloo Link ENS Link Code

See also my complete arXiv listing and my OrcID page

Selected Invited Talks

Event / Institute Location Session / Workshop Date
Mathematical Congress of the Americas Buenos Aires Symbolic Computation: Theory, Algorithms and Applications July 2021
Centre International de Rencontres Mathématiques (CIRM) Marseille Luminy Lattice Paths and Interactions June 2021
Séminaire Philippe Flajolet Institut Henri Poincaré April 2021
SIAM-CAIMS Joint Annual Meeting Toronto Symbolic Computation and Special Functions Canceled by CoVID
Foundations of Computational Mathematics Vancouver Graph Theory and Combinatorics Canceled 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

AofA 2022 Program Committee, Philadelphia
33rd Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms

SIAM Applied Algebraic Geometry 2021 Minisymposium Co-organizer, Texas A&M
Symbolic Combinatorics (Contributed Minisymposium)
With Shaoshi Chen, Manuel Kauers, and Michael Singer

CanaDAM 2021 Minisymposium Organizer, Virtual
New Trends in Analytic Combinatorics (Contributed Minisymposium)

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

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, University of Saskatchewan
Automated analysis of combinatorial structures (Contributed Minisymposium)

Selected Seminar Presentations

Seminar Location Date
AriC / LIP Computing Seminar Lyon December 2020
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