Seminar

Algebra and Combinatorics (co-organized with Suho Oh).

Spring 2024 – This semester we will meet on Thursdays 12:30-1:30pm in Derrick 333.

  • April 25 – Bailee Zacovic (Notre Dame) The Matroid Complex and its Homology
  • March 28 – Tai Ha (Tulane U) Minimal cellular resolution for edge ideals of graphs
  • March 21 – Suho Oh Decorated permutations, Grassmann necklaces, and quotients of positroids
  • March 7 – Anton Dochtermann Quotients of lattice path matroids
  • February 29 – Suho Oh Kazhdan-Lusztig polynomials and machine learning
  • February 15 – Takayuki Hibi (Osaka U) Pick’s formula and Castelnuovo polytopes
  • February 8 – Takayuki Hibi (Osaka U)Order polytopes and chain polytopes of finite partially ordered sets
  • February 1 – Organizational meeting

Fall 2023 – This semester we will meet on Wednesdays 10-10:50am in Derrick 121.

  • October 17 – Daniela Ferrero Zero-forcing
  • October 10 – Lucas Rusnak Oriented hypergraphs
  • October 3 – Anton Dochtermann – Chip-firing and parking functions on hypergraphs
  • September 27 – Suho Oh – More chip-firing on signed graphs and examples
  • September 20 – Suho Oh – Chip-firing on M-matrics and signed graphs
  • September 13 – Anton Dochtermann – More Basics of chip-firing
  • September 6 – Anton Dochtermann – Basic of chip-firing on graphs
  • October 30 – Organizational meeting

Spring 2020 – This semester we will meet on Thursdays 9:30am-10:30pm in Flowers 253.

  • April – 3:30-4:30pm (on Zoom) – Thesis defense for Jina Park, Necklaces and Slimes (Note special time and place)
  • March 12 – Anton Dochtermann – Geometric Groebner bases for lattice ideals
  • February 27 – Anton Dochtermann – More lattice bases
  • February 20 – Anton Dochtermann – Lattice bases: Markov, Groebner, Graver, etc.
  • February 13 – Suho Oh – More Algebraic Statistics: log linear models, Markov bases
  • February 6 – Suho Oh – Algebraic Statistics (à la Sturmfels, Drton, Sullivant)
  • January 30 – Organizational meeting

Fall 2019 – This semester we will meet on Thursdays 11am-12pm in Centennial 311.

  • December 5 – Suho Oh – Promotion and cyclic sieving via webs (à la Petersen, Pylyavskyy, Rhoades)
  • November 21 – Anton Dochtermann – Circuit chip-firing on graphs
  • November 14 – Suho Oh – Log-concave polynomials (à la Anari, Liu, Gharan, and Vinzant), Part II (the proofs!)
  • November 7 – Anton Dochtermann – Log-concave polynomials (à la Anari, Liu, Gharan, and Vinzant), Part I
  • October 24 – Connor Ahlbach – Tableau Stabilization
  • October 17 – Suho Oh – CSP, promotion, and representations (à la Rhoades), Part II
  • October 10 – Suho Oh – CSP, promotion, and representations (à la Rhoades), Part I
  • September 26 – Connor Ahlbach – Refined Cyclic Sieving on Words with respect to the Major Index Statistic, Part II
  • September 19 – Connor Ahlbach – Refined Cyclic Sieving on Words with respect to the Major Index Statistic, Part I
  • September 12 – Sara Faridi (Dalhousie U) – The homology of links of simplicial complexes and subadditivity of syzygies
  • September 5 – Organizational meeting

Spring 2019 – More graphs and matroids: discrete homotopy, chip-firing, etc.

  • May 2 – Anton Dochtermann Arithmetical structures on graphs (Lorenzini, and Braun et al)
  • April 25 – Anton Dochtermann Chip-firing and energy minimization on M-matrices (à la Guzman and Klivans)
  • April 11 – Suho Oh Laplacian growth, sandpiles and scaling limits (à la Levine and Peres)
  • April 4, 9-10am – Thesis defense for Dylan Douthitt, Chip-firing on Graphs (Note special time)
  • March 28 – Raman Sanyal (U Frankfurt/Simons Institute) Standard monomials for lattice path matroids
  • March 14 – Suho Oh Geometric bijections for regular matroids, part II
  • March 7 – Suho Oh Geometric bijections for regular matroids (à la Backman, Baker and Yuen)
  • February 28 – Dylan Douthitt Chip-firing, Tutte polynomials, and Merino’s theorem
  • February 21 – Anton Dochtermann Discrete homotopy theory for graphs and (flag) simplicial complexes, part II
  • February 14 – Anton Dochtermann Discrete homotopy theory for graphs and (flag) simplicial complexes, part I
  • February 7 – Organizational meeting

Fall 2018: Chip-firing

  • November 28 – Anton Dochtermann Higher-dimensional aspects of chip-firing
  • November 8 – Suho Oh Chip-firing on root systems
  • November 1 – Alex Turull (University of Florida) An invariant for ordinary characters arising from modular characters
  • October 25 – Dave Perkinson (Reed College) Enumerating Linear Systems on Graphs
  • October 11 – Suho Oh Chip-firing and Brill-Noether theory (cont.)
  • October 4 – Suho Oh Chip-firing and Brill-Noether theory (à la Cools, Draisma, Payne and Robeva)
  • September 27 – Anton Dochtermann More intro to chip-firing: Divisors and Riemann-Roch
  • September 20 – Anton Dochtermann Intro to chip-firing: Structural theorems and the critical group
  • September 13 – Wade Hindes An introduction to the theory of heights in number theory
  • September 6 – Rosa Orellana (Dartmouth) Young Tableaux

Spring 2018: Geometric combinatorics and random constructions

Outside speakers:

  • April 5 – Ellen Gethner (U Colorado, Denver) To the Moon and Beyond
  • March 1 – Art Duval (UTEP) Weighted enumeration of spanning trees of complete colorful complexes and skeletons of hypercubes
  • Feb 15 – Jesus De Loera (UC Davis) Random Commutative Algebra

Fall 2017: Algebraic geometry of matroids

Fall 2016 – Spring 2017: Tropical geometry