{"id":31102,"global_id":"uwm.edu\/letters-science?id=31102","global_id_lineage":["uwm.edu\/letters-science?id=31102"],"author":"122","status":"publish","date":"2026-03-09 09:54:06","date_utc":"2026-03-09 14:54:06","modified":"2026-03-26 11:41:41","modified_utc":"2026-03-26 16:41:41","url":"https:\/\/uwm.edu\/letters-science\/event\/marden-lecture-series-presents-juggling-counts\/","rest_url":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/events\/31102","title":"Marden Lecture Series Presents: Juggling Counts","description":"

Presented by Prof. Steve Butler, Morrill, Professor of Mathematics at Iowa State University<\/span><\/p>\n

Mathematics is a language which can help us describe and explore patterns. One source of patterns that mathematicians have been exploring comes from juggling (the tossing of objects, usually balls or clubs). We will look at multiple ways to describe juggling patterns that allow us to find new juggling patterns, and to count how many possible patterns exist. We can compare answers to various problems to give a combinatorial proof of Worpitzky\u2019s identity. We will also look at a few juggling-based problems that mathematics has not yet succeeded in answering.<\/p>\n

This event is a part of the Marden Lecture Series, each Spring the Department of Mathematical Sciences invites a distinguished mathematician to lecture to a general audience. The Marden Lecture honors Morris Marden (1905 \u2013 1991), who founded our graduate program and made our department a research department. The Marden lecture is funded through the Miriam and Morris Marden Fund and is co-sponsored by the Department of Mathematical Sciences.<\/p>","excerpt":"","slug":"marden-lecture-series-presents-juggling-counts","image":{"url":"https:\/\/uwm.edu\/letters-science\/wp-content\/uploads\/sites\/255\/2026\/03\/marden_calender_720x480px.webp","id":31205,"extension":"webp","width":720,"height":480,"filesize":35430,"sizes":{"medium":{"width":300,"height":200,"mime-type":"image\/webp","filesize":15578,"url":"https:\/\/uwm.edu\/letters-science\/wp-content\/uploads\/sites\/255\/2026\/03\/marden_calender_720x480px-300x200.webp"},"uwm_academics_program_card":{"width":720,"height":400,"mime-type":"image\/webp","filesize":34724,"url":"https:\/\/uwm.edu\/letters-science\/wp-content\/uploads\/sites\/255\/2026\/03\/marden_calender_720x480px-720x400.webp"}}},"all_day":false,"start_date":"2026-04-09 16:30:00","start_date_details":{"year":"2026","month":"04","day":"09","hour":"16","minutes":"30","seconds":"00"},"end_date":"2026-04-09 17:30:00","end_date_details":{"year":"2026","month":"04","day":"09","hour":"17","minutes":"30","seconds":"00"},"utc_start_date":"2026-04-09 21:30:00","utc_start_date_details":{"year":"2026","month":"04","day":"09","hour":"21","minutes":"30","seconds":"00"},"utc_end_date":"2026-04-09 22:30:00","utc_end_date_details":{"year":"2026","month":"04","day":"09","hour":"22","minutes":"30","seconds":"00"},"timezone":"America\/Chicago","timezone_abbr":"CDT","cost":"","cost_details":{"currency_symbol":"$","currency_code":"USD","currency_position":"prefix","values":[]},"website":"","show_map":false,"show_map_link":true,"hide_from_listings":false,"sticky":false,"featured":false,"categories":[{"name":"Alumni & Community","slug":"alumni-and-community","term_group":0,"term_taxonomy_id":424,"taxonomy":"tribe_events_cat","description":"51ÁÔÆæ Campus Events - Alumni & Community","parent":418,"count":19,"filter":"raw","id":424,"urls":{"self":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories\/424","collection":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories","up":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories\/418"}},{"name":"Lectures Conferences and Symposiums","slug":"lectures-conferences-and-symposiums","term_group":0,"term_taxonomy_id":428,"taxonomy":"tribe_events_cat","description":"51ÁÔÆæ Campus Events - Lectures, Conferences and Symposiums","parent":418,"count":231,"filter":"raw","id":428,"urls":{"self":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories\/428","collection":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories","up":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories\/418"}},{"name":"Natural Sciences","slug":"natural-sciences","term_group":0,"term_taxonomy_id":1978,"taxonomy":"tribe_events_cat","description":"","parent":0,"count":9,"filter":"raw","id":1978,"urls":{"self":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories\/1978","collection":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories"}},{"name":"Public","slug":"public","term_group":0,"term_taxonomy_id":422,"taxonomy":"tribe_events_cat","description":" 51ÁÔÆæ Campus Events - For the Public","parent":418,"count":142,"filter":"raw","id":422,"urls":{"self":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories\/422","collection":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories","up":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories\/418"}},{"name":"Students","slug":"students","term_group":0,"term_taxonomy_id":420,"taxonomy":"tribe_events_cat","description":"51ÁÔÆæ Campus Events - For Students","parent":418,"count":157,"filter":"raw","id":420,"urls":{"self":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories\/420","collection":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories","up":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories\/418"}},{"name":"51ÁÔÆæ Campus Events","slug":"uwm-campus-events","term_group":0,"term_taxonomy_id":418,"taxonomy":"tribe_events_cat","description":"Parent category for all 51ÁÔÆæ Campus Events Categories","parent":0,"count":763,"filter":"raw","id":418,"urls":{"self":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories\/418","collection":"https:\/\/uwm.edu\/letters-science\/wp-json\/tribe\/events\/v1\/categories"}}],"tags":[],"venue":{"id":3156,"author":"3666","status":"publish","date":"2017-03-16 11:32:47","date_utc":"2017-03-16 16:32:47","modified":"2017-08-16 15:05:41","modified_utc":"2017-08-16 20:05:41","url":"https:\/\/uwm.edu\/letters-science\/venue\/lubar-hall-n140\/","venue":"51ÁÔÆæ Lubar Hall, Room N140","slug":"lubar-hall-n140","address":"3202 N. 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