Nathan Williams

Research Statement

My research is in the field of algebraic combinatorics. Specifically, I am interested in algebraic combinatorics arising within the framework of reflection groups or their associated Artin groups, as well as in Garside theory, representation theory, and both group and poset-theoretic lattices.

Preprints, papers, and abstracts

My Google Scholar page

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?
  • 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.