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Discrete Geometry
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Assistant Professor

Graduate Student
News
 Two graduate students awarded NSF postdoctoral fellowships (February 22, 2021)
Past Events
 Dissecting an Integer Polymatroid (Fiona Young, Cornell University)  May 29, 2024
 Colorful Permutation Statistics and Cycle Type (Kevin Liu, University of Washington)  May 22, 2024
 The merging operation and (di)simplicial isimple dpolytopes (Hailun Zheng, University of HoustonDowntown)  May 15, 2024
 hvector Inequalities Under Weak Maps (Alex Mason, University of Washington)  May 8, 2024
 The inhomogeneous multispecies PushTASEP and Macdonald polynomials (Arvind Ayyer, Indian Institute of Science)  May 1, 2024
 Smooth Combinatorial Cubes are IDP (Julie Curtis, University of Washington)  April 24, 2024
 Shuffle bases and quasisymmetric power sums (Michael Tang, University of Washington)  April 17, 2024
 The PoincareExtended abIndex (Galen DorpalenBarry, University of Oregon)  April 10, 2024
 Increasing subsequences, orbit harmonics, and shadow play (Brendon Rhoades, University of California, San Diego)  April 3, 2024
 The first bijective proof of the ASM theorem (Matjaž Konvalinka, University of Ljubljana)  March 6, 2024
 Incidences and Tilings (Sergey Fomin, University of Michigan)  February 28, 2024
 Solving puzzles of shellable simplicial spheres (Yirong Yang, University of Washington)  February 21, 2024
 Moshe's Insanity (Moshe Rosenfeld, University of Washington, Tacoma)  February 14, 2024
 CANCELED: The PoincareExtended abIndex (Galen DorpalenBarry, University of Oregon)  February 7, 2024
 Tropicalization of the principal minors of positive semidefinite matrices (Cynthia Vinzant, University of Washington)  January 31, 2024
 FarahatHigman Algebras for Classical Linear Groups (Arun Kannan, Massachusetts Institute of Technology)  January 24, 2024
 Distributional properties of colored multiset Eulerian polynomials (Danai Deligeorgaki, KTH Royal Institute of Technology)  January 17, 2024
 A regular unimodular triangulation of the matroid base polytope (Gaku Liu, University of Washington)  January 10, 2024
 Numerical semigroups, minimal presentations, and posets (Christopher O'Neill, San Diego State University)  December 6, 2023
 A noncommutative Schur function approach to chromatic symmetric functions (Isaiah Siegl, University of Washington)  November 29, 2023
 Extremal crystals and atompositivity (Samuel Armon, University of Southern California)  November 8, 2023
 Matroid Schubert varieties and equivariant compactifications (Colin Crowley, University of Oregon)  November 1, 2023
 Quantum Bruhat graphs and tilted Richardson varieties (Shiliang Gao, University of Illinois at UrbanaChampaign)  October 25, 2023
 Snake Graphs for Graph LP Algebras (Sunita Chepuri, University of Puget Sound)  October 18, 2023
 Projections of Richardson Varieties (Travis Grigsby, Oklahoma State University)  October 11, 2023
 Face Numbers and Angles of Polytopes (Josh Hinman, University of Washington)  October 4, 2023
 Combinatorics of twoboundary TemperleyLieb algebras (Zajj Daugherty, Reed College)  May 31, 2023
 Combinatorics of CAT(0) cubical complexes, crossing complexes and coskeletons (Rowan Rowlands, University of Washington)  May 24, 2023
 Central transversals and hyperplane arrangements (Pablo Soberón, City University of New York, Baruch College)  May 17, 2023
 Tautological classes of matroids (Christopher Eur, Harvard University)  May 10, 2023
 Mixed Volumes of Normal Complexes (Lauren Nowak, University of Washington)  May 3, 2023
 Chipfiring game on metric graphs and combinatorics of their Jacobians (Farbod Shokrieh, University of Washington)  April 26, 2023
 SL_4 web bases from hourglass plabic graphs (Joshua Swanson, University of Southern California)  April 19, 2023
 The Polyhedral Combinatorics of Pivot Rules (Alex Black, University of California Davis)  April 12, 2023
 Higher Weak Order of Affine Permutations (Herman Chau, University of Washington)  March 8, 2023
 Algebra, Geometry & Combinatorics of the Pinhole Camera (Rekha Thomas, University of Washington)  March 1, 2023
 The geometric method, matroids and related simplicial complexes (Andrew Berget, Western Washington University)  February 22, 2023
 Vertex labeling properties on graphs and complexes (Bruno Benedetti, University of Miami)  February 15, 2023
 Combinatorial mutations and birational maps (Ricky Liu, University of Washington)  February 1, 2023
 Unimodular triangulations of sufficiently large dilations (Gaku Liu, University of Washington)  January 25, 2023
 Graduate Student Analysis Seminar: Limits and Geodesics in First Passage Percolation Models (Linhang Huang)  January 19, 2023
 Transfer systems and model structures for combinatorialists (Kyle Ormsby, University of Washington)  January 18, 2023
 Problems around Combinatorial Graphs and Distance Geometry (Stefan Steinerberger, University of Washington)  January 11, 2023
 Subdivisions of Shellable Complexes (Max Hlavacek, University of California Berkeley)  December 7, 2022
 Odd diagrams and patterns (Bridget Tenner, DePaul University)  November 30, 2022
 3D plabic graphs and cluster structures on type A braid varieties (Melissa ShermanBennett, Massachusetts Institute of Technology)  November 16, 2022
 2LC triangulated manifolds are exponentially many (Marta Pavelka, University of Miami)  November 9, 2022
 On the anisotropy theorem of Papadakis and Petrotou (Elizabeth Xiao, University of British Columbia)  November 2, 2022
 Enumerating interval graphs and drepresentable complexes (Amzi Jeffs, Carnegie Mellon University)  October 26, 2022
 Hurwitz numbers via topological recursion (Reinier Kramer, University of Alberta)  October 19, 2022
 A Pattern Avoidance Criteria for Smoothness of Positroid Varieties Via Decorated Permutations, Spirographs, and Johnson Graphs (Jordan Weaver, University of Washington)  October 12, 2022
 Approximating real numbers by rational numbers with small denominators (Albert Artiles, University of Washington)  October 6, 2022
 Maximal Chain Descent Orders (Stephen Lacina, University of Oregon)  October 5, 2022
 Flavors of the FubiniBruhat Order (Stark Ryan, University of Washington)  June 1, 2022
 Higher Categorical Associahedra (Spencer Backman, University of Vermont)  May 25, 2022
 Patternavoiding parking functions (Lara Pudwell, Valparaiso University)  May 18, 2022
 Graph limits and graph homomorphism inequalities (Fan Wei, Princeton University)  May 11, 2022
 A Proof of Grünbaum’s Lower Bound Conjecture for polytopes, lattices, and strongly regular pseudomanifolds (Lei Xue, University of Washington)  May 4, 2022
 qWhittaker functions, finite fields, and Jordan forms (Steven Karp, LaCIM, Université du Québec à Montréal)  April 27, 2022
 GrothendiecktoLascoux Expansions (Tianyi Yu, University of California San Diego)  April 13, 2022
 Linear relations among Schubert structure coefficients (Anna Weigandt, Massachusetts Institute of Technology)  April 6, 2022
 Planar Tanglegram Layouts and Edge Insertion (Kevin Liu, University of Washington)  February 16, 2022
 Common tangents to polytopes and convex bodies (José Alejandro Samper, Pontificia Universidad Católica de Chile)  February 9, 2022
 Nonrealizability of polytopes via linear programming (Amy Wiebe, Simon Fraser University)  February 2, 2022
 Braiding and twisting open positroid varieties (Christopher Fraser, Michigan State University)  January 19, 2022
 From symmetric functions, to knots, and back again (Nicolle González, University of California Los Angeles)  December 8, 2021
 CANCELED: Braiding and twisting open positroid varieties (Christopher Fraser, Michigan State University)  December 1, 2021
 Multiplicities of maximal dominant weights of some affine Lie algebra modules (Kailash Misra, North Carolina State University)  November 29, 2021
 When is the probability of avoiding a graph superexponentially small? (Rajko Nenadov, Google Zürich)  November 17, 2021
 Helly type problems: topology, the cascade conjecture, and graph coloring (Gil Kalai, Hebrew University of Jerusalem, Reichman University, and NYU)  November 10, 2021
 Combinatorial atlas for logconcave inequalities (Swee Hong Chan, University of California Los Angeles)  November 3, 2021
 Bumpless pipe dreams encode Gröbner geometry of Schubert polynomials (Patricia Klein, University of Minnesota)  October 27, 2021
 f* and h*vectors (Matthias Beck, San Francisco State University)  October 20, 2021
 Ppartition generating functions of naturally labeled posets (Ricky Liu, University of Washington)  October 13, 2021
 Lorentzian polynomials on cones and the HeronRotaWelsh conjecture (Jonathan Leake, Technische Universität Berlin, Germany)  October 6, 2021
 On discrete gradient vector fields and Laplacians of simplicial complexes (Andrew Tawfeek, Amherst College)  June 2, 2021
 Morphisms, Minors, and Minimal Obstructions to Convexity of Neural Codes (Amzi Jeffs, University of Washington)  May 26, 2021
 Many neighborly spheres (Isabella Novik, University of Washington)  May 19, 2021
 On Schubert polynomials (Karola Mészáros, Cornell University)  May 12, 2021
 Complex analysis meets combinatorics (Steffen Rohde, University of Washington)  May 5, 2021
 An Efficient Algorithm for Deciding the Vanishing of Schubert Polynomial Coefficients (Colleen Robichaux, UIUC)  April 28, 2021
 The equivariant Ehrhart theory of the permutahedron ( Mariel Supina, UC Berkeley)  April 21, 2021
 An odd tale of permutation statistics (Angela Carnevale, National University of Ireland, Galway)  April 14, 2021
 Type cones and products of simplices (Bennet Goeckner, University of Washington)  April 7, 2021
 A structural Szemerédi–Trotter theorem for cartesian products (Adam Sheffer, CUNY)  March 10, 2021
 Cubes, Codes, and Graphical Designs (Catherine Babecki, University of Washington)  March 3, 2021
 Singular Hodge theory for combinatorial geometries ( Jacob Matherne, University of Oregon)  February 24, 2021
 A Proof of Grünbaum's Lower Bound Conjecture for general polytopes, and strongly regular CW spheres (Lei Xue, University of Washington)  February 17, 2021
 Decompositions of Ehrhart h*Polynomials for Rational Polytopes (Andrés R. Vindas Meléndez, University of Kentucky )  February 10, 2021
 A categorification of the MalvenutoReutenauer algebra via a tower of groups (Farid Aliniaeifard, The University of British Columbia)  February 3, 2021
 A HigherDimensional Sandpile Map (Alex McDonough, Brown University)  January 27, 2021
 Empty axisparallel boxes ( Boris Bukh, Carnegie Mellon University)  January 20, 2021
 How to divide multiple cakes fairly using topology ( Shira Zerbib, Iowa State University)  January 13, 2021
 Symmetry Adapted Gram Spectrahedra ( Isabelle Shankar, UC Berkeley)  December 9, 2020
 The 1/3–2/3 Conjecture for Coxeter groups (Yibo Gao, Massachusetts Institute of Technology)  December 2, 2020
 Cubical Pachner moves and bordisms of immersions (Gaku Liu, University of Washington)  November 18, 2020
 Order Polynomial Product Formulas and Poset Dynamics (Sam Hopkins, University of Minnesota)  November 4, 2020
 The space of monotone paths of a linear program (Jesús A. De Loera, University of California, Davis)  October 28, 2020
 Polymatroids and finite groups (Ed Swartz, Cornell University)  October 21, 2020
 Cohomology rings of regular nilpotent Hessenberg varieties and hyperplane arrangements (Satoshi Murai, Waseda University)  October 14, 2020
 The topological Tverberg problem beyond prime powers (Florian Frick, Carnegie Mellon University)  October 7, 2020
 Separable elements and splittings of Weyl groups (Christian Gaetz, Massachusetts Institute of Technology)  May 13, 2020
 Combinatorics of CAT(0) cubical complexes and crossing complexes (Rowan Rowlands, University of Washington)  April 29, 2020
 Coding for sunflowers (Anup Rao, University of Washington)  April 15, 2020
 Neural codes and the factor complex (Alexander Ruys de Perez, Texas A&M University)  April 8, 2020
 NonEulerian DehnSommerville relations (Lei Xue, University of Washington)  March 4, 2020
 Embedding dimensions of convex codes (Amzi Jeffs, University of Washington)  February 12, 2020
 Signed tropical convexity (Georg Loho, London School of Economics and Political Science)  January 15, 2020
 Electrical networks, hyperplane arrangements and matroids (Bob Lutz, Mathematical Sciences Research Institute)  November 20, 2019
 Universal oriented matroids for subword complexes of Coxeter groups (JeanPhilippe Labbé, Freie Universität Berlin)  November 6, 2019
 Hollow polytopes of large width (Giulia Codenotti, Freie Universität Berlin)  October 30, 2019
 Diameter bounds for cocircuit graphs of oriented matroids (Steve Klee, Seattle University)  October 23, 2019
 Oriented matroids and combinatorial neural codes (Caitlin Lienkaemper, Pennsylvania State University)  October 2, 2019