{"id":16726,"date":"2026-04-01T09:00:57","date_gmt":"2026-04-01T14:00:57","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&p=16726"},"modified":"2026-04-01T09:00:57","modified_gmt":"2026-04-01T14:00:57","slug":"graduate-student-colloquium-jonathan-walker-moses","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-jonathan-walker-moses\/","title":{"rendered":"Graduate Student Colloquium: Jonathan Walker-Moses"},"content":{"rendered":"
\n

The Beautiful Interplay of Rotation Groups in Three Dimensions<\/strong><\/h1>\n<\/div>\n

We’ll explore the connections between the rotation Lie groups (SU(n) and SO(n)) in two and three dimensions. In doing so, we’ll prove a remarkable theorem about the way that SU(2) and SO(3) relate using quaternions and then discuss some connections to complex analysis at the end. In doing so, we’ll take a very fun and (in my opinion) mind-blowing journey through spheres of different dimensions. Absolutely no knowledge of Lie theory is expected and I’ll be happy to clarify any details from topology or group theory that come up that you aren’t familiar with.<\/p>\n","protected":false},"excerpt":{"rendered":"

The Beautiful Interplay of Rotation Groups in Three Dimensions We’ll explore the connections between the rotation Lie groups (SU(n) and SO(n)) in two and three dimensions. In doing so, we’ll prove a remarkable theorem about the way that SU(2) and …<\/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":[70],"class_list":["post-16726","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-graduate-student-colloquia","cat_graduate-student-colloquia"],"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\/graduate-student-colloquium-jonathan-walker-moses\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graduate Student Colloquium: Jonathan Walker-Moses\" \/>\n<meta property=\"og:description\" content=\"The Beautiful Interplay of Rotation Groups in Three Dimensions We’ll explore the connections between the rotation Lie groups (SU(n) and SO(n)) in two and three dimensions. 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