{"id":230,"date":"2023-01-14T16:56:06","date_gmt":"2023-01-15T00:56:06","guid":{"rendered":"https:\/\/dornsife.usc.edu\/mathematics\/?page_id=230"},"modified":"2025-09-06T19:32:29","modified_gmt":"2025-09-07T02:32:29","slug":"combinatorics","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/mathematics\/combinatorics\/","title":{"rendered":"Combinatorics"},"content":{"rendered":"\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <p>Combinatorics at USC is predominantly algebraic, with many faculty making connections to other fields of mathematics including probability, representation theory, algebraic geometry, finite group theory, and topology. We hold a weekly <a href=\"https:\/\/dornsife.usc.edu\/combinatorics\/\">Combinatorics Seminar<\/a> in addition to a selection of combinatorics graduate courses.<\/p>\n<p>&nbsp;<\/p>\n<h4>Tenured and Tenure-Track Faculty<\/h4>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/profile\/richard-arratia\/\" target=\"_blank\" rel=\"noopener\">Arratia, Richard<\/a> (Probability, combinatorics, number theory)<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/profile\/sami-assaf\" target=\"_blank\" rel=\"noopener\">Assaf, Sami<\/a> (Algebraic combinatorics, representation theory, algebraic geometry, probability)<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/\" target=\"_blank\" rel=\"noopener\">Fulman, Jason<\/a> (Algebraic combinatorics and probability)<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/profile\/larry-goldstein\" target=\"_blank\" rel=\"noopener\">Goldstein, Larry<\/a> (Statistics, probability)<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/profile\/robert-guralnick\" target=\"_blank\" rel=\"noopener\">Guralnick, Robert<\/a> (Finite and algebraic groups, representation theory, curves, Galois theory, and linear algebra)<\/li>\n<li><a href=\"https:\/\/sites.google.com\/view\/lauda-home\/home\" target=\"_blank\" rel=\"noopener\">Lauda, Aaron<\/a> (Categorification, representation theory, and low-dimensional topology)<\/li>\n<li><a href=\"https:\/\/sites.google.com\/usc.edu\/gpanova\/home\">Panova, Greta<\/a> (Algebraic combinatorics, computational complexity, statistical mechanics and probability)<\/li>\n<li><a href=\"https:\/\/www.hwilliams.net\/\">Williams, Harold<\/a> (representation theory, algebraic geometry, symplectic geometry)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h4>Post-Docs and Visitors<\/h4>\n<ul>\n<li>Gagnon, Lucas (combinatorics, representation theory, geometry)<\/li>\n<li><a href=\"https:\/\/www.danielemath.com\">Garzoni, Daniele<\/a> (combinatorial and geometric group theory)<\/li>\n<li>Huang, Yifeng (combinatorics and algebraic geometry)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h4>Current Graduate Students<\/h4>\n<ul>\n<li>Barch, Brian (co-advised by Lauda and Zanardi [Physics])<\/li>\n<li>Kim, Sung (advisor Lauda)<\/li>\n<li>Lulianelli, Filippo (advisor Lauda)<\/li>\n<li>Roman, Vlad (advisor Guralnick)<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h4>Recent Graduate Students<\/h4>\n<p>2025<\/p>\n<ul>\n<li>Armon, Samuel (Ph.D. 2025 advised by Assaf), <em>Atoms, Kohnert&#8217;s Rule, and Science Fiction<\/em><\/li>\n<\/ul>\n<p>2024<\/p>\n<ul>\n<li>Zhao, Chenchen (Ph.D. 2024 advised by Panova),\u00a0<em>On the Kronecker product of Schur functions<\/em><\/li>\n<\/ul>\n<p>2023<\/p>\n<ul>\n<li>Bowling, Grant (Ph.D. 2023 advised by Assaf), <em>Characters of Flagged Schur Modules and Compatible Slides<\/em><\/li>\n<li>Ebert, Mark (Ph.D. 2023 advised by Lauda),\u00a0<em>The Structure and Higher Representation<br class=\"ContentPasted0\" \/>Theory of Odd Categorified sl2<\/em><\/li>\n<li>Ehrhard, Henry (Ph.D. 2023 advised by Assaf), <em>Colors, Kohnert&#8217;s Rule, and Flagged Kostka Coefficients<\/em><\/li>\n<li>Paguyo, J.E. (Ph.D. 2023 advised by Fulman), <em>Limit theorems for three random discrete structures using Stein&#8217;s method<\/em><\/li>\n<li>Wang, Shiyun (Ph.D. 2023 advised by Panova), <em>Applications of Symmetric and Quasisymmetric functions<\/em><\/li>\n<\/ul>\n<p>2022<\/p>\n<ul>\n<li>Kagey, Peter (Ph.D. 2022 advised by Assaf), <em>Permutations, Statistics, and Switches<\/em><\/li>\n<\/ul>\n<p>2021<\/p>\n<ul>\n<li>Quijada, Danjoseph (Ph.D. 2021 advised by Assaf), <em>A Pieri rule for key polynomials<\/em><\/li>\n<li>Rahmani, John (Ph.D. 2021 advised by Fulman), <em>Mixing Times for the Commuting Chain<\/em><\/li>\n<\/ul>\n<p>2020<\/p>\n<ul>\n<li>McKemmie, Eilidh (Ph.D. 2020 advised by Guralnick), <em>Invariable generation of finite groups of Lie type<\/em><\/li>\n<li>Ozdemir, Alperen (Ph.D. 2020 advised by Fulman), <em>On limiting distribution and convergence rates of random processes defined over discrete structures<\/em><\/li>\n<\/ul>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":279,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-230","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - 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