William T. Dugan

Finding  π  in Berlin, Autumn 2018.

About Me

Hi! I am a fourth year Ph.D. student of mathematics at the University of Massachusetts Amherst, working under the supervision of Alejandro Morales. My research interests lie chiefly in algebraic combinatorics, with a particular focus on polytope theory. I am also interested in the combinatorics of quantum field theory as well as combinatorial algebraic geometry.  My current research projects revolve around different aspects of flow polytopes, most notably the Pitman-Stanley polytope and Chan-Robbins-Yuen polytope. Check out the Research tab to learn more about my publications and preprints.

Before UMass, I obtained my MMath degree from  the Department of Combinatorics and Optimization at the University of Waterloo under the supervision of Karen Yeats.

You can reach me at wdugan at umass dot edu. 

Curriculum Vitae

You can find a copy of my CV here (last updated 4/24/2024).

Conferences and Seminars