{"id":16345,"date":"2025-09-23T08:46:26","date_gmt":"2025-09-23T13:46:26","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&p=16345"},"modified":"2025-09-23T08:46:26","modified_gmt":"2025-09-23T13:46:26","slug":"graduate-student-colloquium-kimberly-hadaway-2","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-kimberly-hadaway-2\/","title":{"rendered":"Graduate Student Colloquium: Kimberly Hadaway"},"content":{"rendered":"

\"\"<\/h1>\n

Parking Completions and Volumes of Polytopes<\/h1>\n

Kimberly Hadaway
\nGraduate Student<\/em>
\nIowa State University<\/p>\n

Parking functions correspond with preferences of n cars which enter sequentially to park on a one-way street where (1) each car parks in the first available spot greater than or equal to its preference and (2) all cars successfully park. We generalize parking functions to parking completions: Here, we are given that some cars have already parked in a set of spots, which are indexed in a vector t. We then consider a preference vector c, where len(t)+len(c)=n. If all cars can park, we say that c is a parking completion. Adeniran, et al. (2020) state an open problem which connects the number of parking completions to the volumes of Pitman-Stanley polytopes by explicit computation on small values of n. In this talk, we provide a partial solution to this open problem by exploring edge cases.<\/p>\n","protected":false},"excerpt":{"rendered":"

Parking Completions and Volumes of Polytopes Kimberly Hadaway Graduate Student Iowa State University Parking functions correspond with preferences of n cars which enter sequentially to park on a one-way street where (1) each car parks in the first available spot …<\/p>\n","protected":false},"author":1661,"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-16345","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-kimberly-hadaway-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graduate Student Colloquium: Kimberly Hadaway\" \/>\n<meta property=\"og:description\" content=\"Parking Completions and Volumes of Polytopes Kimberly Hadaway Graduate Student Iowa State University Parking functions correspond with preferences of n cars which enter sequentially to park on a one-way street where (1) each car parks in the first available spot …\" \/>\n<meta property=\"og:url\" content=\"https:\/\/uwm.edu\/math\/event\/graduate-student-colloquium-kimberly-hadaway-2\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathematical Sciences\" \/>\n<meta property=\"og:image\" content=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2025\/04\/5.png\" \/>\n\t<meta property=\"og:image:width\" content=\"984\" \/>\n\t<meta property=\"og:image:height\" content=\"504\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-kimberly-hadaway-2\\\/\",\"url\":\"https:\\\/\\\/uwm.edu\\\/math\\\/event\\\/graduate-student-colloquium-kimberly-hadaway-2\\\/\",\"name\":\"Graduate Student Colloquium: Kimberly Hadaway - 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