{"id":16801,"date":"2026-04-28T08:29:38","date_gmt":"2026-04-28T13:29:38","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&p=16801"},"modified":"2026-04-28T08:29:46","modified_gmt":"2026-04-28T13:29:46","slug":"phd-dissertation-defense-mr-andrew-frohmader","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/phd-dissertation-defense-mr-andrew-frohmader\/","title":{"rendered":"PhD Dissertation Defense: Mr. Andrew Frohmader"},"content":{"rendered":"

Graded multiplicities in the Kostant-Rallis setting<\/span><\/h1>\n

Mr. Andrew Frohmader
\nGraduate Student<\/em>
\nUniversity of Wisconsin-Milwaukee<\/p>\n

This dissertation contains two main results. First, we provide combinatorial branching rules for GL(n, C) to O(n, C) and GL(2n, C) to Sp(2n, C) extending the Littlewood restriction rules. Second, we use these branching rules and the combinatorics of GL(n, C)-crystals to derive a formula for the graded multiplicity of a K-type in the regular functions on the K-nilpotent cone for GL(n, R), GL(n, C) and GL(n, H).<\/p>\n

Advisor:
\nJeb Willenbring<\/p>\n

Committee Members:
\nAllen Bell, Chris Hruska, Istvan Lauko, and Kevin McLeod<\/p>\n","protected":false},"excerpt":{"rendered":"

Graded multiplicities in the Kostant-Rallis setting Mr. Andrew Frohmader Graduate Student University of Wisconsin-Milwaukee This dissertation contains two main results. First, we provide combinatorial branching rules for GL(n, C) to O(n, C) and GL(2n, C) to Sp(2n, C) extending the …<\/p>\n","protected":false},"author":30596,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","uwm_wg_additional_authors":[]},"tags":[],"tribe_events_cat":[64],"class_list":["post-16801","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-graduate-student-defenses","cat_graduate-student-defenses"],"yoast_head":"\nMathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/uwm.edu\/math\/event\/phd-dissertation-defense-mr-andrew-frohmader\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"PhD Dissertation Defense: Mr. Andrew Frohmader\" \/>\n<meta property=\"og:description\" content=\"Graded multiplicities in the Kostant-Rallis setting Mr. Andrew Frohmader Graduate Student University of Wisconsin-Milwaukee This dissertation contains two main results. 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