Nathan Williams

Research Statement

My research is in the field of algebraic combinatorics. I am mostly interested in combinatorial problems related to reflection groups or their associated Artin groups.

My Google Scholar page

Preprints and papers


Abstracts for Formal Power Series and Algebraic Combinatorics (FPSAC) - DMTCS Proceedings


Other Writing

Presentations

  • March 2010 - University of Minnesota - Combinatorics Seminar - Cyclic Sieving in Young's Lattice
  • 15 April 2011 - University of Minnesota - Combinatorics Seminar - Promotion and Rowmotion
  • 28 June 2011 - Institut Camille Jordan - Promotion et Rowmotion (French) - Promotion and Rowmotion (English)
  • 21 January 2012 - Combinatorial Algebra Meets Algebraic Combinatorics (Montréal, Canada) - Cyclic Symmetry in Young's Lattice
  • 14 February 2012 - York University - Applied Math Seminar - Suter's Surprising Cyclic Symmetry
  • 2 March 2012 - University of Miami - Promotion and Rowmotion
  • 10 March 2012 - AMS Special Session on Combinatorics: Algebraic and Geometric (Tampa, Florida) - Towards a uniform description of a bijection between nonnesting and noncrossing partitions
  • 11 July 2012 - Summer School on Algebraic and Enumerative Combinatorics (S. Miguel de Seide, Portugal) - Cyclic Symmetry of the Scaled Simplex (for 3D, view in Chrome)
  • 31 July 2012 - Formal Power Series and Algebraic Combinatorics (Nagoya, Japan) - Promotion and Rowmotion
  • 16 November 2012 - University of Minnesota - Noncrossing and Nonnesting Partitions for Parabolic Quotients
  • 30 August 2013 - University of Minnesota - Thesis defense: Cataland
  • 20 September 2013 - Laboratoire de Combinatoire et d'Informatique Mathématique - Combinatorics Seminar - Cataland
  • 18 November 2013 - York University - Applied Math Seminar - Cataland
  • October 2013 - Freie Universität Berlin - Discrete Geometry Seminar - Cataland
  • 10 December 2013 - North Dakota State University - Department Colloquium - Cataland
  • January 2014 - Combinatorial Algebra Meets Algebraic Combinatorics (Halifax, Canada) - Cataland
  • 7 February 2014 - Laboratoire de Combinatoire et d'Informatique Mathématique - Combinatorics Seminar - Reduced Words and Plane Partitions in Type B
  • 11 April 2014 - Laboratoire de Combinatoire et d'Informatique Mathématique - Combinatorics Seminar - Why the Fuss?
  • 16 January 2015 - Laboratoire de Combinatoire et d'Informatique Mathématique - Combinatorics Seminar - Cristaux et l'Ordre Faible
  • 23 January 2015 - Combinatorial Algebra Meets Algebraic Combinatorics (Kingston, Canada) - Why the Fuss? (transcript)
  • 11 March 2015 - Sage Days 64 (University of California, Davis) - Why the Fuss?
  • March 2015 - AIM Workshop: Dynamical Algebraic Combinatorics (San Jose, California) - Catland
  • March 2015 - Institut Camille Jordan - Why the Fuss?
  • April 2015 - Institut Camille Jordan - Why the Fuss?
  • July 2015 - Formal Power Series and Algebraic Combinatorics (Daejeon, South Korea) - Subwords and Plane Partitions
  • December 2015 - University of California, San Diego - Combinatorics Seminar - Sweeping up Zeta
  • January 2016 - Massachusetts Institute of Technology - Combinatorics Seminar - Sweeping up Zeta
  • January 2016 - Brandeis University - Special Seminar - Why the Fuss?
  • March 2016 - University of California, Davis - Combinatorics Seminar - Sweeping up Zeta
  • July 2016 - Formal Power Series and Algebraic Combinatorics (Vancouver, Canada)- Cataland - Why the Fuss?
  • October 2016 - University of California, Santa Barbara - Discrete Geometry and Combinatorics Seminar - Sweeping up Zeta
  • January 2017 - University of Massachusetts Amherst - Sweeping up Zeta
  • January 2017 - The College of William and Mary - Sweeping up Zeta
  • February 2017 - University of California, Santa Barbara - Discrete Geometry and Combinatorics Seminar - Doppelgängers: Bijections of Plane Partitions
  • February 2017 - California State University, Fresno - Sweeping up Zeta
  • February 2017 - The University of Texas at Dallas - Sweeping up Zeta
  • May 2017 - The 2017 Midwest Combinatorics Conference, Minneapolis, Minnesota - Sweeping up Zeta
  • June 2017 - University of California, Santa Barbara - Topology seminar - Why the Fuss?
  • September 2017 - The University of Texas at Dallas - Algebra and Combinatorics Seminar - Three lectures on Coxeter-Catalan theory
  • October 2017 - Haverford College - Sweeping up Zeta
  • October 2017 - Combinatorics, Algebra, and Geometry seminar co-organized by Swarthmore College, Drexel University, the University of Pennsylvania, and Haverford College. - Doppelgängers
  • January 2018 - The Joint Mathematics Meetings, Special Session in Honor of Dennis Stanton, San Diego - Winnie-the-Pooh and the Strange Expectations
  • February 2018 - Texas A&M, Algebra and Combinatorics Seminar - Fixed Points of Parking Functions
  • March 2018 - The University of Texas at Dallas - Nonlinear Analysis and Dynamical Systems Seminar - Dynamical Algebraic Combinatorics
  • March 2018 - ALGECOM: Algebra, Geometry, and Combinatorics Day, University of Michigan - Fixed Points of Parking Functions
  • July 2018 - SageDays@ICERM: Combinatorics and Representation Theory - ICERM, Brown University - Full Twist Presentations
  • September 2018 - The University of Texas at Dallas - Algebra and Combinatorics Seminar - Full Twist Presentations
  • September 2018 - CRM 50th anniversary conference: Algèbre et combinatoire au LaCIM, CRM, Montréal - Full Twist Presentations
  • March 2019 - The University of Texas at Dallas - Algebra and Combinatorics Seminar - Reflexponents
  • March 2019 - Talk by Dr. Kevin Williams - AMS Special Session (Hawaii)- Mathematical clarity versus an entrenched, out-of-touch bureaucracy: How we reformed a small well-run medical match -- and then the largest but badly run medical match.
  • June 2019 - Canadian Discrete and Algorithmic Mathematics Conference - Simon Fraser University, Vancouver, Canada - Reflexponents
  • June 2019 - Enumerative and analytic combinatorics seminar, Institut de Recherche en Informatique Fondamentale (IRIF) - Université Paris Diderot, Paris, France - Reflexponents
  • June 2019 - Séminaire Combinatoire du Plateau de Saclay - Laboratoire d'informatique de l'École polytechnique (LIX), Paris, France - Independence Posets
  • June 2019 - Combinatorics seminar - L'Institut Camille Jordan, Université Lyon 1, Lyon, France - Reflexponents
  • July 2019 - Formal Power Series and Algebraic Combinatorics (Ljubljana, Slovenia) - Combinatorics of the ``Coincidental'' Reflection Groups (for Vic Reiner)
  • September 2019 - 10th Annual Discrete Geometry and Algebriac Combinatorics Confrence (South Padre Island, TX) - Fixed Points of Parking Functions
  • October 2019 - University of Washington, Seattle - Combinatorics Seminar - Fixed Points of Parking Functions