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Williams has received various honors, including a MacArthur fellowship, a Guggenheim fellowship, and an NSF Career Grant. While her main research area is algebraic combinatorics (including total positivity and cluster algebras), her work is connected to shallow water waves (via soliton solutions of the KP equation), traffic flow and protein synthesis (the asymmetric simple exclusion process), and scattering amplitudes in high-energy physics. She is one of the editors of First Proof, which has been benchmarking the ability of AI models to create mathematical proofs.\n\nFirst Proof provides objective, up-to-date assessments of AI models\u2019 ability to prove specified mathematical statements. This talk will review findings from the project\u2019s first two problem batches and outline plans for its next phase.", "occurrence_notes":null, "guid":"146386-21898980@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/146386", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"1360", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Mathematics"], "website":"https:\/\/people.math.harvard.edu\/~williams\/", "sponsors":[ { "group_name":"Colloquium Series - Department of Mathematics", "group_id":"4884", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_thumb\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_lightbox\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb_square\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "group_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large_lightbox\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_crop\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "event_list":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_list\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid_2x\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_large\/media\/attachments\/2026\/03\/event_146386_original-1.jpg", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_thumb\/media\/attachments\/2026\/03\/event_146386_original-1.jpg" }, "occurrence_count":1, "first_occurrence":21898980 } , "149928-21907381": { "datetime_modified":"20260829T003209", "datetime_start":"20260908T160000", "datetime_end":"20260908T170000", "has_end_time":1, "date_start":"2026-09-08", "date_end":"2026-09-08", "time_start":"16:00:00", "time_end":"17:00:00", "time_zone":"America\/Detroit", "event_title":"Go Blue Career Jam: Career Fair Prep", "occurrence_title":"", "combined_title":"Go Blue Career Jam: Career Fair Prep", "event_subtitle":"", "event_type":"Careers \/ Jobs", "event_type_id":"2", "description":"REGISTER HERE:\u00a0Join the University Career Center for a discussion on how to prepare for the upcoming job & internship fairs!In this session, we\u2019ll cover what to expect at a fair, how to research potential employers, and tips for crafting a strong elevator pitch.This event is open to all students interested in learning strategies for making a great impression and getting the most out of career fairs. It\u2019s a supportive space to explore how you can connect your skills, interests, and goals with exciting opportunities.\u00a0This event's information is shown in Handshake as well as on the Happening @Michigan calendar so that it will be seen by a larger number of U-M Students. You can only register to attend this event within Handshake. If you'dlike to indicate that you'll be attending this event and see more details, please go to this webpage: https:\/\/umich.joinhandshake.com\/events\/1985183\/share_previewWe want to ensure full and equitable participation in our events. If an accessibility accommodation would promote your full participation in this event, please indicate your accommodation requirements via the link below, preferably at least 14 days prior to the program to ensure sufficient time for arranging your requested accommodation(s) or exploring suitable alternatives. If you have any questions regarding access to our programs, please don't hesitate to reach out to Jocelyn Gaydos at jmgaydos@umich.edu. 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Let's get together for dinner and to connect with other students, plus IGR faculty and staff.\n\nStudents who participated in our summer programming, worked or newly work with IGR, or met us at a tabling event are all welcome and highly encouraged to attend. \n\nDinner will be provided, and opening remarks will be held at 4:30 pm.\n\nMORE IGR EVENTS\nhttps:\/\/igr.umich.edu\/student-activities-events", "occurrence_notes":null, "guid":"150597-21909691@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/150597", "building_id":"", "building_name":"", "campus_maps_id":"", "room":"", "location_name":"1010 Weiser Hall", "has_livestream":0, "cost":"", "tags":["Sessions"], "website":"https:\/\/sessions.studentlife.umich.edu\/p\/track\/17665", "sponsors":[ { "group_name":"Sessions @ Michigan", "group_id":"4791", "website":"https:\/\/sessions.studentlife.umich.edu\/" }, { "group_name":"The Program on Intergroup Relations (IGR)", "group_id":"3317", "website":"http:\/\/igr.umich.edu" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/08\/event_150597_original-1.png", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_thumb\/media\/attachments\/2026\/08\/event_150597_original-1.png", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/08\/event_150597_original-1.png", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_2x\/media\/attachments\/2026\/08\/event_150597_original-1.png", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_lightbox\/media\/attachments\/2026\/08\/event_150597_original-1.png", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb\/media\/attachments\/2026\/08\/event_150597_original-1.png", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb_square\/media\/attachments\/2026\/08\/event_150597_original-1.png", "group_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large\/media\/attachments\/2026\/08\/event_150597_original-1.png", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large_lightbox\/media\/attachments\/2026\/08\/event_150597_original-1.png", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_crop\/media\/attachments\/2026\/08\/event_150597_original-1.png", "event_list":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_list\/media\/attachments\/2026\/08\/event_150597_original-1.png", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/08\/event_150597_original-1.png", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid\/media\/attachments\/2026\/08\/event_150597_original-1.png", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid_2x\/media\/attachments\/2026\/08\/event_150597_original-1.png", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_large\/media\/attachments\/2026\/08\/event_150597_original-1.png", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2026\/08\/event_150597_original-1.png" }, "occurrence_count":1, "first_occurrence":21909691 } , "151023-21910734": { "datetime_modified":"20260827T123558", "datetime_start":"20260908T160000", "datetime_end":"20260908T170000", "has_end_time":1, "date_start":"2026-09-08", "date_end":"2026-09-08", "time_start":"16:00:00", "time_end":"17:00:00", "time_zone":"America\/Detroit", "event_title":"Virtual Info Session with the Federal Bureau of Investigation (FBI)", "occurrence_title":"", "combined_title":"Virtual Info Session with the Federal Bureau of Investigation (FBI)", "event_subtitle":"", "event_type":"Careers \/ Jobs", "event_type_id":"2", "description":"The Federal Bureau of Investigation will be hosting a virtual info session to discuss working at the FBI, and the range of full time roles and other opportunities they have available to students and upcoming graduates entering the workforce. The focus of the event will be full-time employment post graduation. You should join the event if you are interested in:\n\nLearning about specific roles with the FBI.\nDevelop our understanding of what a career in Federal service can look like for you.\nLearning about post-graduation career opportunities.\nThe virtual event link will be attached soon. Register today to stay up to date on updates, and to let us know you are attending. We'll see you soon!", "occurrence_notes":null, "guid":"151023-21910734@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/151023", "building_id":"null", "building_name":"Off Campus Location", "campus_maps_id":"1", "room":"", "location_name":"Virtual", "has_livestream":1, "livestream_type":"other", "livetream_require_login":0, "livestream_id":"", "livestream_link":"", "cost":"", "tags":["Lsa Opportunity Hub","Government","Career"], "website":"https:\/\/lsa-umich.12twenty.com\/events\/30006101383284", "sponsors":[ { "group_name":"LSA Opportunity Hub", "group_id":"3815", "website":"http:\/\/lsa.umich.edu\/opportunityhub" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_thumb\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb_square\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "group_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large_lightbox\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_crop\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "event_list":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_list\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid_2x\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_large\/media\/attachments\/2026\/08\/event_151023_original-1.jpg", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2026\/08\/event_151023_original-1.jpg" }, "occurrence_count":1, "first_occurrence":21910734 } , "149411-21906371": { "datetime_modified":"20260715T154457", "datetime_start":"20260908T160000", "datetime_end":"20260908T173000", "has_end_time":1, "date_start":"2026-09-08", "date_end":"2026-09-08", "time_start":"16:00:00", "time_end":"17:30:00", "time_zone":"America\/Detroit", "event_title":"WISE Welcome & Ice Cream Social Events", "occurrence_title":"WISE Grad Student & Postdoc Welcome & Ice Cream Social", "combined_title":"WISE Welcome & Ice Cream Social Events: WISE Grad Student & Postdoc Welcome & Ice Cream Social", "event_subtitle":"", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"What is Women in Science & Engineering? 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Please choose the event that best suits your needs and reach out to our team at umwise@umich.edu with any questions.", "occurrence_notes":null, "guid":"149411-21906371@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/149411", "building_id":"", "building_name":"", "campus_maps_id":"", "room":"", "location_name":"WISE Office, 3236 Undergraduate Science Building", "has_livestream":0, "cost":"", "tags":["Sessions","Graduate and Professional Students","Michigan Engineering","The College Of Literature, Science, And The Arts","Undergraduate Students","Welcome To Michigan","Women In Science And Engineering","Women In Stem"], "website":"https:\/\/sessions.studentlife.umich.edu\/p\/track\/17421", "sponsors":[ { "group_name":"Sessions @ Michigan", "group_id":"4791", "website":"https:\/\/sessions.studentlife.umich.edu\/" }, { "group_name":"Women in Science and Engineering (WISE) Program", "group_id":"3737", "website":"http:\/\/wise.umich.edu" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/07\/event_149411_original-1.png", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_thumb\/media\/attachments\/2026\/07\/event_149411_original-1.png", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/07\/event_149411_original-1.png", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_2x\/media\/attachments\/2026\/07\/event_149411_original-1.png", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/07\/event_149411_original-1.png", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb\/media\/attachments\/2026\/07\/event_149411_original-1.png", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb_square\/media\/attachments\/2026\/07\/event_149411_original-1.png", "group_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large\/media\/attachments\/2026\/07\/event_149411_original-1.png", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large_lightbox\/media\/attachments\/2026\/07\/event_149411_original-1.png", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_crop\/media\/attachments\/2026\/07\/event_149411_original-1.png", "event_list":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_list\/media\/attachments\/2026\/07\/event_149411_original-1.png", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/07\/event_149411_original-1.png", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid\/media\/attachments\/2026\/07\/event_149411_original-1.png", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid_2x\/media\/attachments\/2026\/07\/event_149411_original-1.png", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_large\/media\/attachments\/2026\/07\/event_149411_original-1.png", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/event_feature_thumb\/media\/attachments\/2026\/07\/event_149411_original-1.png" }, "occurrence_count":4, "first_occurrence":21906371 } , "150241-21908441": { "datetime_modified":"20260824T101053", "datetime_start":"20260908T163000", "datetime_end":"20260908T173000", "has_end_time":1, "date_start":"2026-09-08", "date_end":"2026-09-08", "time_start":"16:30:00", "time_end":"17:30:00", "time_zone":"America\/Detroit", "event_title":"Sanger Leadership Center Info Session", "occurrence_title":"", "combined_title":"Sanger Leadership Center Info Session", "event_subtitle":"", "event_type":"Presentation", "event_type_id":"16", "description":"LEARN TO LEAD AND REFLECT THIS YEAR!\n\nJoin our staff and student leaders to learn which opportunities you can get involved in this year at the Sanger Leadership Center to advance your leadership skills and deepen your personal growth. 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