**An up to date publication list can be found in my CV, available here**

Submitted Publications

Higher Dimensional Lattice Walks: Connecting Combinatorial and
Analytic Behaviour. S. Melczer and M. Wilson.

Submitted October 2018.

https://arxiv.org/abs/1810.06170

Counting partitions inside a rectangle.

S. Melczer, G. Panova and R. Pemantle.

Submitted May 2018.

https://arxiv.org/abs/1805.08375

Counting walks with large steps in an orthant.

A. Bostan, M. Bousquet-Mélou and S. Melczer.

Submitted May 2018.

https://arxiv.org/abs/1806.00968

Vertically constrained Motzkin-like paths inspired by bobbin lace.

V. Irvine, S. Melczer and F. Ruskey.

Submitted April 2018.

https://arxiv.org/abs/1804.08725

## Publications

Diagonal asymptotics for symmetric rational functions via ACSVY. Bayshnikov, S. Melczer, R. Pemantle and A. Straub

Accepted to LIPIcs Proceedings of Analysis of Algorithms 2018.

http://arxiv.org/abs/1804.10929

A fast algorithm for solving linear recurrent sequences.

S. G. Hyun, S. Melczer and C. St-Pierre.

Accepted to ISSAC 2018 abstracts, ACM Communications in Computer Algebra.

https://arxiv.org/abs/1806.03554

Weighted Lattice Walks and Universality Classes.

J. Courtiel, S. Melczer, M. Mishna and K. Raschel.

Journal of Combinatorial Theory, Series A, Volume 152, 255–302, 2017.

http://dx.doi.org/10.1016/j.jcta.2017.06.008

http://arxiv.org/abs/1609.05839

On 3-dimensional lattice walks confined to the positive octant

M. Bousquet-Mélou, A. Bostan, M. Kauers, and S. Melczer

**Annals of Combinatorics, Volume 20(4), 661-704, 2016.**

http://dx.doi.org/10.1007/s00026-016-0328-7

http://arxiv.org/abs/1409.3669

Tableau sequences, open diagrams, and Baxter families

S. Burrill, J. Courtiel, E. Fusy, S. Melczer, M. Mishna

European Journal of Combinatorics, Volume 58, 144-165, 2016.

http://dx.doi.org/10.1016/j.ejc.2016.05.011

http://arxiv.org/abs/1506.03544

Symbolic-Numeric Tools for Analytic Combinatorics in Several Variables

S. Melczer and B. Salvy

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation (ISSAC 2016), 333-340, 2016.

http://dx.doi.org/10.1145/2930889.2930913

http://arxiv.org/abs/1605.00402

Asymptotics of lattice walks via analytic combinatorics in several variables

S. Melczer and M. C. Wilson

Proceedings of FPSAC 2016, DMTCS proc. 863-874, 2016.

http://fpsac2016.sciencesconf.org/114341

http://arxiv.org/abs/1511.02527

Asymptotic lattice path enumeration using diagonals

S. Melczer and M. Mishna

**Algorithmica, Volume 75(4), 782-811, 2016.**

http://dx.doi.org/10.1007/s00453-015-0063-1

http://arxiv.org/abs/1402.1230

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

S. Burrill, S. Melczer, M. Mishna

Proceedings of FPSAC 2015, DMTCS proc. 369–380, 2015.

http://fpsac2015.sciencesconf.org/71001

http://arxiv.org/abs/1411.6606

Singularity analysis via the iterated kernel method

S. Melczer and M. Mishna

Combinatorics, Probability, and Computing, Volume 23(5), 861-888, 2014.

http://dx.doi.org/10.1017/S0963548314000145

http://arxiv.org/abs/1303.3236

Asymptotic lattice path enumeration using diagonals [Extended Abstract]

S. Melczer and M. Mishna

Proceedings of AofA 2014, DMTCS-HAL Proceedings Series, 313–324, 2014.

http://hal.inria.fr/hal-01077251

Ink-constrained halftoning with applications to QR codes

M. Bayeh, E. Compaan, T. Lindsey, N. Orlow, S. Melczer, and Z. Voller

Proceedings of the SPIE vol. 9015, 90150U - 90150U-8, 2014.

http://dx.doi.org/10.1117/12.2044217

Singularity analysis via the iterated kernel method [Extended Abstract]

S. Melczer and M. Mishna

Proceedings of FPSAC 2013, DMTCS Proc. AS, 481--492, 2013.

https://hal.inria.fr/hal-01229731

## Invited Conference and Workshop Talks

Asymptotic
regime change for multivariate generating functions**AMS / MAA Joint Math Meeting, Baltimore**

AMS Special Session on Special Session on Enumerative Combinatorics

**(January 2019)**

An Invitation to Analytic Combinatorics in Several Variables

**RISC / JKU Algorithmic and Enumerative Combinatorics Summer School**

Research Institute for Symbolic Computation, Linz, Austria

**(July 2018)**

__Counting partitions inside a rectangle__

**Ontario Research Centre for Computer Algebra Annual Meeting**

__University of Western Ontario__

**(May 2018**

__)____Generating Functions: Theory, Algorithms, and Applications__

**Tutte Colloquium**, University of Waterloo

**(April 2018)**

Analytic Combinatorics in Several Variables: Applications and Effective Methods

Analytic Combinatorics in Several Variables: Applications and Effective Methods

**Joint Mathematics Meeting**, San Diego

AMS Special Section on Applied and Computational Combinatorics

**(January 2018)**

__Multivariate singularity analysis and hyperplane arrangements__

**Erwin Schrödinger Institute (ESI) Programme on Algorithmic and Enumerative Combinatorics**, Vienna

Workshop on Computer Algebra in Combinatorics

**(November 2017)**

__Polynomial System Solving and Analytic Combinatorics in Several Variables__

**SIAM Conference on Applied Algebraic Geometry,**Georgia Institute of Technology, Atlanta

New Trends in Polynomial System Solving and Applications Minisymposium

**(August 2017)**

__Diagonals, asymptotics, and lattice path enumeration__

**Journées de combinatoire de Bordeaux**

Laboratoire Bordelais de Recherche en Informatique (LaBRI)

**(January 2016)**

__Effective Analytic Combinatorics in Several Variables__

**Fields Institute Thematic Program on Computer Algebra**, Toronto

Workshop on Symbolic Combinatorics and Computational Differential Algebra

**(September 2015)**

__Towards a Classification of Restricted Lattice Walks__

**SIAM Conference on Applied Algebraic Geometry**, Fort Collins, Colorado State University

Symbolic Combinatorics Minisymposium

**(August 2013)**

## Selected Seminar Presentations (* denotes most recent talk)

University of Toronto Probability Seminar **(January 2019)**

University of Toronto CS Theory Group Seminar

**(October 2018)**

Courant-CUNY Kolchin Seminar in Differential Algebra, New York

**(September 2018)**

University of Waterloo Algebraic Combinatorics Seminar (x3)

**(August 2018*)**

__Hofstra University Mathematics Seminar, New York__

**(April 2018)**

Simon Fraser University Discrete Math and Computer Algebra Seminars (x3)

**(March 2018*)**

University of Illinois, Urbana-Champaign Probability Seminar

**(January 2018)**

University of Delaware Probability Seminar

**(November 2017)**

Penn/Temple Probability Seminar

**(October 2017)**

Philadelphia CAGE (Combinatorics, Algebra, and Geometry) Seminar

**(September 2017)**

**University of Waterloo Symbolic Computation Seminar (x3)**

**(May 2017*)**

__UCLA Combinatorics Seminar__

**(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 (x3), Hagenberg, Austria

**(November 2015*)**

Seminar Algebra und Diskrete Mathematik, Johannes Kepler University Linz, Austria

**(November 2015)**

Arithmetic and Computing Seminar (x2), ENS Lyon, France

**(November 2015*)**

Combinatoire et Théorie des Nombres, Institut Camille Jordan, France

**(October 2015)**

__LaBRI Séminaire de Combinatoire Énumérative et Algébrique, Université Bordeaux__

**(May 2014)**

__LIPN Séminaire de combinatoire, Université Paris 13__

**(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)**

## Selected Conference Presentations

ALÉA 2012, CIRM, Marseille-Luminy, FranceInternational Symposium on Symbolic and Algebraic Computation (ISSAC), Waterloo, Ontario(July 2016)

Formal Power Series and Algebraic Combinatorics (FPSAC), Simon Fraser University, Vancouver(July 2016 - Poster)

ALÉA 2016, CIRM, Marseille-Luminy, France(March 2016)

Formal Power Series and Algebraic Combinatorics (FPSAC), KAIST, Daejeon, South Korea(July 2015 - Poster)Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM), University of Saskatchewan, Saskatoon

(June 2015)

25th International Conference on the Analysis of Algorithms (AofA), University of Paris(June 2014)SPIE Color Imaging XIX, San Francisco

(February 2014)

Formal Power Series and Algebraic Combinatorics (FPSAC), University of Paris(June 2013 - Poster)CMS Summer Meeting, Dalhousie University, Halifax

(June 2013 - Poster)Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM), Memorial University, St. John's

(June 2013)

ALÉA 2013, CIRM, Marseille-Luminy, France(March 2013)

**(March 2012)**

SFU Computational Math Day, Simon Fraser University, Vancouver

**(August 2011 - Poster - 1st Prize)**

Canadian Discrete and Algorithmic Mathematics Conference, University of Victoria

**(June 2011)**

PIMS Young Researchers Conference, University of British Columbia, Vancouver

**(May 2011)**

Canadian Undergraduate Mathematics Conference, Université Laval, Quebec City

**(June 2011)**

Rising Stars of Research Poster Competition, University of British Columbia, Vancouver

**(August 2010 - Poster)**

SFU Computational Math Day, Simon Fraser University, Vancouver

**(August 2010 - Poster)**

Canadian Undergraduate Mathematics Conference, University of Waterloo

**(July 2010)**

Canadian Undergraduate Mathematics Conference, Carleton University, Ottawa

**(July 2009)**

## Additional Conference and Workshop Attendance

Trimester on Combinatorics and its Interactions, Institut Henri
Poincaré (IHP), Paris **(January – March 2017**

**)**

Workshop in Analytic and Probabilistic Combinatorics, BIRS, Banff

**(October 2016**

**)**

Conference in honour of Marcel-Paul Schützenberger, Bordeaux

**(March 2016**

**)**

Journées Nationales de Calcul Formel, Cluny, France

**(November 2015**

**)**

Closed Meeting on Analysis of Algorithms, Strobl, Austria

**(June 2015**

**)**

ACM-SIAM Symposium on Discrete Algorithms (SODA), Portland

**(January 2014**

**)**

Franco-British workshop on Analytic Combinatorics, Oxford

**(September 2012**

**)**

Formal Power Series and Algebraic Combinatorics (FPSAC), Nagoya, Japan

**(August 2012**

**)**

SMS Probabilistic Combinatorics Workshop, Montreal

**(July 2012**

**)**

## Academic Service

**Helped facilitate events for undergraduate math students at Penn**

**Penn Undergraduate Math Society Faculty Contact (2018 - 2019)**

**Session Chair and Organizer,**

International Congress of Mathematical Software Program Committee (July 2018, Notre Dame, IN)International Congress of Mathematical Software Program Committee (July 2018, Notre Dame, IN)

*Symbolic Combinatorics*

*BIRS Workshop Co-organizer (September 2017, Banff)*

*Lattice walks at the Interface of Algebra, Analysis, and Combinatorics*

Banff International Research Station for Mathematical Innovation and Discovery

With Mireille Bousquet-Mélou, Marni Mishna, and Michael Singer

SIAM Applied Algebraic Geometry Minisymposium Co-organizer (August 2017, Atlanta)

SIAM Applied Algebraic Geometry Minisymposium Co-organizer (August 2017, Atlanta)

*Symbolic Combinatorics (Contributed Minisymposium)*

Georgia Institute of Technology

*With Shaoshi Chen, Manuel Kauers, and Michael Singer*

**FPSAC 2016 Organizing Committee (July 2016, Vancouver)**

28th International Conference on Formal Power Series and Algebraic Combinatorics

28th International Conference on Formal Power Series and Algebraic Combinatorics

Simon Fraser University

First point of contact for participants (ran official email and webpage)

**CanaDAM 2015 Minisymposium Organizer and Chair (June 2015, Saskatoon)**

*Automated analysis of combinatorial structures*

*(Contributed Minisymposium)*

*5th biennial Canadian Discrete and Algorithmic Mathematics Conference*

University of Saskatchewan

**Referee:**

- 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

## Additional Research Experience

**Research Internship, Inria - Microsoft Research Joint Centre**

**École Polytechnique, France (March - June 2012)**

Topic: Algorithms classifying analytic properties of generating functions

Supervisors: Alin Bostan (Inria) and Manuel Kauers (RISC Linz)

**Research Assistant (NSERC USRA)**

**Simon Fraser University (May - August 2011)**

Topic: Asymptotic enumeration and analytic combinatorics

Supervisor: Marni Mishna

**Research Assistant (NSERC USRA)**

**Simon Fraser University (May - August 2010)**

Topic: Prime decomposition of ideals (led to code incorporated into Maple 16)

Supervisor: Michael Monagan

**Research Assistant (NSERC USRA)**

**Simon Fraser University (May - August 2009)**

Topic: Convex optimization and applications to PDE solvers

Supervisor: Adam Oberman

**My OrcidID listing of publications (sometimes out of date) is available here: http://orcid.org/0000-0002-0995-3444**