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Mechanical Engineering and Mechanics Department

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Mechanical Engineering and Mechanics Department

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Academics & Colleges

Mechanical Engineering Seminar Series: Dr. Lian Shen

Fri, Apr 24, 2026 11am

Packard Laboratory, 416

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Academics & Colleges

Mechanical Engineering Seminar Series: Dr. Alban Sauret

Fri, Apr 17, 2026 11am

Packard Laboratory, 416

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Academics & Colleges

Defense Announcement - Kaier Liang

Fri, Apr 10, 2026 11am

Building C, 220

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Noncrossing partitions, braid groups, and complex polynomials Michael Dougherty, Lafayette Abstract: The n-strand braid group is one of the most important objects in geometric group theory, in part because it lies in the overlap of many different classes of groups, including Artin groups and mapping class groups. Topologically, this group can be viewed as the fundamental group for the space of monic complex polynomials with distinct roots, and algebraically it is often defined using a generating set of n-1 diagrams depicting half-twists of adjacent strands. Work of Birman-Ko-Lee, T. Brady, and Bessis around the turn of the century introduced a new generating set for these groups which used the lattice of noncrossing partitions, and the combinatorics of this lattice has led to breakthroughs in our understanding of braid groups and Artin groups more generally. In this talk, I will describe some new connections between noncrossing partitions, braid groups, and complex polynomials. This is joint work with Jon McCammond. Tea and refreshments available from 3:00-3:25 p.m. in the Assmus Conference Room (CU 212).

Dept of Mathematics Spring 2026 Colloquium Series - Professor Sir John Ball

Wed, Apr 1, 2026 3:30pm

Chandler-Ullmann Hall, 218

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Academics & Colleges

MEM Seminar Series - Dr. Martin Genet

Fri, Mar 27, 2026 11am

Packard Laboratory, 416

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Graduate Student Ambassador Virtual Meet & Greet with RSVP Form QR Code and Photo of Ambassadors

Lehigh Engineering: March Virtual Grad Ambassador Panels

Tue, Mar 24, 2026 7:30pm to 8:30pm

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