Fall 2024

  • Colleen Robichaux (UCLA): Exploring Kohnert’s rule for Grothendieck polynomials
  • Weihong Xu (Caltech): Quantum K-theory of some coadjoint flag varieties
  • Yifeng Huang (USC): Some q-rious polynomiality and positivity
  • Sam Armon (USC): Primeness for generalized parking functions
  • John Lentfer (UC Berkeley): The $(1,2)$-bosonic-fermionic coinvariant ring
  • Nantel Bergeron (York University): Interval hypergraphic lattices
  • Joshua Swanson (USC): Cyclotomic generating functions
  • Jonathan Novak (UCSD): Hypergeometric functions of huge matrices
  • Keller VandeBogert (Notre Dame): Equivariant Positivity Through the Lens of Lie Theory
  • Dorian Smith (UMN/Augustana College): Sandpile Group of Cones over Trees
  • Jonathan Davidson (CSULA): Monochromatic Rectangle Free Grids: A Design Theory Approach to the Erd\H{o}s Box Problem
  • Olha Shevchenko (UCLA): Rotationally symmetric plabic graphs and the Lagrangian Grassmannian
  • Lucas Gagnon (York U.): Equivariant forest polynomials and the quasisymmetric flag variety

Spring 2024

  • Daniel Tubbenhauer (U. Sydney): Three colors suffice
  • Anne Dranowski (USC): Equivariant volumes via product monomial crystals
  • Tianyi Yu (UCSD): Analogue of Fomin-Stanley algebra on bumpless pipedreams
  • Chenchen Zhao (USC): Integer sequences and vacillating tableaux
  • Catherine Babecki (Caltech): Spectrahedral Geometry of Graph Sparsifiers
  • Mojdeh Feller (Pepperdine): The combinatorics of Katalan functions
  • Leonid Petrov (U. Virginia): Colored Interacting Particle Systems on the Ring
  • Patricia Hersh (U. Oregon): A relaxation of the notion of recursive atom ordering that still implies CL-shellability
  • Brendan Pawlowsky (HRL): Quantum computing via exchange-only qubits
  • Alejandro Morales (UQAM): Bounds on integral flows of graphs and the Kostant partition function
  • Anne Schilling (UC Davis): From quasi-symmetric to Schur expansions with applications to symmetric chain decompositions and plethysm

Fall 2024

  • Josh Swanson (USC): SL(4) web bases from hourglass plabic graphs
  • Sam Armon (USC): Extremal crystals and atom-positivity
  • Haihan Wu (UC Davis): Graphs and Representations of Quantum Groups 
  • Brendon Rhoades (UCSD): Increasing subsequences, matrix loci, and Viennot shadows
  • Bruce Sagan (MSU): Colloquium
  • Jianping Pan (NCSU): Polynomials from Schubert Calculus via Diagrams
  • Justin Troyka (CSULA): New generalizations of the Foulkes Conjecture on $q$-binomial coefficients
  • Claire Levaillant (USC): Egyptian fraction decompositions of the unit of given length with denominators 2^a.q^b with q set odd prime and a<3
  • Art Benjamin (Harvey Mudd College): Counting on Students: Combinatorics with Undergraduates

Spring 2023

  • Jim Haglund (U Penn): The Super Nabla Operator
  • Nantel Bergeron (York University): Quasisymmetric varieties
  • Jason Fulman (USC): Card shuffling and Coxeter groups
  • [Colloquium] Sara Billey (U Washington): Combinatorial Characterizations of Smooth Positroid Varieties via Pattern Avoidance, Spirographs, and Johnson Graphs
  • Greta Panova (USC): Computational Complexity in Algebraic Combinatorics
  • Pavel Galashin (UCLA): Braid variety cluster structures and 3D plabic graphs
  • David Soukup (UCLA): Combinatorics of the Cogrowth Sequence
  • Andrew Ian Sack (UCLA): A Realization of Poset Associahedra
  • Samuel Armon (USC): Canonical words for generalized dual equivalence classes
  • Chenchen Zhao (USC): The Kronecker product of Schur functions
  • Nathan Williams (UTD): Pop, Crackle, Snap (and Pow): Some Facets of Shards
  • Ben Gillen & Jonathan Michala (USC): Characterizing Rothe Diagrams
  • [Colloquium] Andrei Okounkov (UC Berkeley)
  • David Kempe (USC): Online Team Formation under Different Synergies

Fall 2022

  • Sami Assaf (USC): A (conjectured) Littlewood–Richardson rule for Grassmannian Schubert varieties
  • Brendon Rhoades (UCSD): Characters of local permutation statistics
  • Henry Ehrhard (USC): A crystal analysis of P-arrays
  • Colleen Robichaux (UCLA): Degrees of Grothendieck polynomials and Castelnuovo-Mumford regularity
  • Esther Banaian (Aarhus University): Snake Graphs from Punctured Orbifolds
  • Yifeng Huang (UBC): Matrix enumeration over finite fields
  • JE Paguyo (USC): Sampling unlabeled structures via the Burnside process
  • Anne Dranowski (USC): Minuscule Multiples and Tensor Products of Demazure Crystals
  • Nicolle Gonzalez (UC Berkeley): Semistandard parking functions, higher rank (q,t)-Catalan numbers and DAHA
  • Josh Hallam (Loyola Marymount): Whitney duals of Geometric Lattices
  • Joshua Swanson (USC): Higher coinvariant algebras, q-Stirling numbers, and Coxeter-like complexes
  • Marianna Russkikh (Cal Tech): Dimers and circle patterns
  • Shiyun Wang (USC): Row-strict dual immaculate functions

Fall 2020

  • Jonathan Novak (UCSD): A Tale of Two Integrals
  • Arun Ram (U Melbourne): Periodic permutations and Macdonald polynomials
  • Dominic Searles (University of Otago): Quasisymmetric functions and 0-Hecke algebras
  • Alejandro Morales (UMass Amherst): On the Okounkov-Olshanski formula for standard tableaux of skew shapes
  • Chaim Even-Zohar (Turing Institute London): Spectral Analysis of Word Statistics
  • Patricia Hersh (U Oregon): Posets arising as 1-skeleta of simple polytopes, the nonrevisiting path conjecture, and poset topology
  • Alexander Miller: Foulkes characters
  • Ethan Kowalenko (UC Riverside): Representation theory for oriented matroids
  • Sanjaye Ramgoolam (Queen Mary University): Kronecker coefficients and bipartite ribbon graphs
  • Vasu Tewari (U Hawaii): An algebra of Klyachko, and Macdonald’s reduced word identity

Spring 2020

  • Nate Bottman (USC): 2-associahedra
  • Giovanni Paolini (Caltech, AWS): Combinatorics of reflection groups and the K(π,1) conjecture
  • Rekha Biswal (Max Planck Institute for Mathematics): Macdonald polynomials and level two Demazure modules for affine sl_{n+1}
  • Allen Knutson (Cornell University): Linear algebra and juggling patterns; Schubert calculus, old and new
  • Nicolle Gonzalez (UCLA/MSRI): Crystals for nonsymmetric Macdonald polynomials
  • Rinat Kedem (UIUC): On q-Whittaker functions, Toda Hamiltonians and cluster algebras

Fall 2019

  • Cesar Cuenca (Caltech): Probability measures and q-orthogonal polynomials
  • Igor Pak (UCLA): Combinatorics and Probability of Contingency Tables
  • Zajj Daugherty (City College of New York): Signed Brauer algebras and their translations
  • Sami Assaf (USC): A Pieri rule for key polynomials
  • Brendan Pawlowski (USC): Involution pipe dreams
  • Jean-Philippe Labbe (FU Berlin): Universal oriented matroids for Subword Complexes of Coxeter Groups
  • Ole Warnaar (The University of Queensland)
  • Swee Hong Chan (UCLA): Rotor walk and escaping from prison

Spring 2019

  • Pamela Harris (Williams College): Kostant’s partition function
  • Eric Marberg (Hong Kong University of Science and Technology): Insertion algorithms for cohomology and K-theory
  • Josh Swanson (UCSD): Cyclotomic generating function asymptotics
  • Josh Hallam (Loyola Marymount University): Whitney Duals of Partially Ordered Sets
  • Persi Diaconis (Stanford University): Approximating the Permanent Using Sequential Importance Sampling
  • Artem Chernikov (UCLA): Generalizations of the Elekes-Szabo theorem
  • Richard Arratia (USC): Mappings and trees: some easy conceptual proofs, including one by size bias
  • Nat Thiem (UC Boulder): Categorifying combinatorial Hopf algebras
  • Greta Panova (USC): Asymptotic Algebraic Combinatorics
  • Hayan Nam (UC Irvine): Core partitions, Numerical semigroups, and Polytopes
  • Danjoseph Quijada (USC): Key Polynomials and their Structure Constants: A Paradigm of Diagrams

Fall 2018

  • Jim Haglund (UPenn): The combinatorics of the Delta Conjecture and more general Macdonald polynomial operators
  • Sami Assaf (USC): Inversions for reduced words
  • Gene Kim (USC): Is the symmetric group Sperner?
  • Brendan Pawlowski (USC): Chromatic symmetric functions via the group algebra of S_n
  • Robert Davis (Harvey Mudd College): Combinatorial Neural Codes, Toric Ideals, and State Polytopes
  • Matt Hogancamp (USC): The superpolynomial of torus links
  • Nicolle E. S. Gonzalez (USC): Demazure crystals for Nonsymmetric Macdonald polynomials
  • Jamie Haddock (UCLA): The minimum Euclidean-norm point on a convex polytope: Wolfe’s combinatorial algorithm is exponential
  • Lenny Fukshansky (Claremont McKenna College): An algebraic perspective on integer sparse recovery
  • Susanna Fishel (Arizona State University): Enumerations Relating Braid And Commutation Classes
  • Richard Stanley (MIT/UMiami): I. Stern’s diatomic array and beyond; II. A conjecture on the weak order of the symmetric group

Spring 2018

  • Sami Assaf (USC): Kohnert polynomials
  • Brendon Rhoades (UCSD): The algebra and geometry of ordered set partitions
  • Marino Romero (UCSD): Forgotten symmetric functions and Macdonald eigenoperators at $q=1$
  • Jonathan Novak (UCSD): An Invitation to the Weingarten Calculus
  • Brendan Pawlowski (U Michigan): Involution Schubert combinatorics
  • Enes Ozel (USC): Number of k-cycles for a Family of Permutations with Restricted Positions
  • Igor Pak (UCLA): Counting standard Young tableaux
  • Yan Zhuang (Brandeis University): Shuffle-Compatible Permutation Statistics
  • Gene Kim (USC): CLT for descents in conjugacy classes of $S_n$
  • Eric Marberg (Hong Kong University of Science and Technology): From Klyachko models to involution words

Fall 2017

  • Glenn Tesler (UCSD): Multi de Bruijn Sequences
  • Sami Assaf (USC): Nonsymmetric Macdonald Polynomials
  • Eric Rains (CalTech): Vanishing integrals of Macdonald and Koornwinder polynomials
  • Matt Hogancamp (USC): Catalan combinatorics and torus links
  • Dominic Searles (USC): Combinatorial bases of polynomials
  • Richard Arratia (USC): Symmetric functions and the infinite dimensional simplex
  • Mohamed Omar (Harvey Mudd): A Proof of the Peak Polynomial Positivity Conjecture
  • Sarah Mason (Wake Forest University): Quasisymmetric power sums
  • Samantha Dahlberg (UBC): Chromatic symmetric functions and e-positivity
  • Ezgi Kantarci Oguz (USC): Crystal graphs for shifted tableaux
  • Nantel Bergeron (York University): Polytopes of independent sets of relations and their 1-skeleta

Spring 2017

  • David Kempe (USC): Quasi-regular sequences and optimal schedules for security games
  • Sara Billey (University of Washington): Enumeration of Parabolic Double Cosets for Symmetric Groups and Beyond
  • Stephen DeSalvo (UCLA): Pattern avoidance for random permutations
  • Marino Remero (UCSD): On the Delta Conjecture at $q=1$
  • Vasu Tewari (UWashington): Noncommutative Schur functions and operators on compositions
  • Per Alexandersson (UPenn): An e-positive conjecture for LLT polynomials
  • Jesse Levitt (USC): From Surfaces to Cluster Algebras and Back: An Ongoing Story
  • Anne Schilling (UC Davis): Stanley symmetric functions from the crystal perspective
  • Fu Liu (UC Davis): Ehrhart positivity
  • Francis Su (Harvey Mudd College): A polytopal generalization of Sperner’s lemma
  • Anastasia Chaves (UC Berkeley)

Fall 2016

  • Jim Haglund (UPenn): The combinatorics of non symmetric Macdonald polynomials and their specializations
  • Larry Goldstein (USC): A lenient BKR operation for events occurring for disjoint reasons
  • Matt Hogancamp (USC): Link homology and combinatorics
  • Maria Gillespie (UC Davis): Monodromy and K-theory of Schubert Curves via Generalized Jeu de Taquin
  • Dominic Searles (USC): The slide and glide bases of the polynomial ring
  • Damir Yeliussizov (UCLA): Duality and deformations of stable Grothendieck polynomials
  • Martin Tassy (UCLA): Height functions and fast tileability
  • Gaku Liu (MIT): A counterexample to the extension space conjecture for realizable oriented matroids
  • Aaron Lauda (USC): An introduction to odd symmetric functions
  • Sami Assaf (USC): Schubert calculus by thinking inside the box

Spring 2016

  • John Shareshian (Washington University St. Louis): Joint distributions of permutation statistics and symmetric functions
  • Alejandro Morales (UCLA): Hook-length formulas for skew shapes
  • Dominic Searles (USC): Schubert polynomials and slide polynomials
  • Stephen DeSalvo (UCLA): On the number of integer partitions of size n: a quantitative asymptotic analysis
  • Brendon Rhoades (UCSD): Evidence for parking conjectures
  • Richard Arratia (USC): Low rank labelled structures, and completely effective error bounds for Stirling Numbers of the first and second kind via rooks and Poisson approximation
  • Monica Vazirani (UC Davis): A Schur-Weyl-like construction of L(k^N) for the DAHA
  • Sami Assaf (USC): Multiplicity-free Kronecker products
  • Jason Fulman (USC): Generating functions and enumeration in finite classical groups
  • Adam Sheffer (CalTech): Distinct distances and heavy lines
  • Steph van Willigenburg (UBC): Maximal supports and Schur-positivity among connected skew shapes

“Running overtime is the one unforgivable error a lecturer can make. After fifty minutes (one microcentury as von Neumann used to say) everybody’s attention will turn elsewhere.” –Gian-Carlo Rota