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
UMass Amherst Discrete Math Seminar, University of Massachusetts Amherst, April 24, 2024
Topology, Algebra, Combinatorics, and Operators Seminar, Loyola University Chicago, April 3, 2024
Santander Workshop on Geometric and Algebraic Combinatorics , Universidad de Cantabria, January 15-19, 2024
Joint Mathematics Meeting, San Francisco, CA, January 3-6, 2024
Formal Power Series and Algebraic Combinatorics 2023, University of California Davis, July 17-21, 2023,
Discrete CATS Seminar, University of Kentucky, April 24, 2023
Graduate Student Combinatorics Conference 2023, Washington University, March 17-19, 2023
Discrete Math Workshop, Smith College, November 19, 2022
VII Encuentro Colombiano de Combinatoria 2022, Bogotá, Colombia, June 14-25, 2022
Combinatorial and Algebraic Enumeration, University of Waterloo, May 24-27, 2022
Open Problems in Alegebraic Combinatorics, University of Minnesota, May 16-20, 2022
Graduate Meeting on Combinatorial Commutative Algebra, University of Minnesota , May 13-15, 2022
Discrete Math Days, (attended online), April 23 2022
17th Graduate Student Combinatorics Conference, (attended online), March 26-27, 2022
Northeast Combinatorics Network Combinatorics Klatch (online) April 10, 2021
Formal Power Series and Algebraic Combinatorics Online, Monday-Wednesday-Friday July 6-24,2020
AlCoVE: an Algebraic Combinatorics Virtual Expedition (online), June15-16, 2020
Discrete Math Days of the Northeast, University of Rhode Island, September 29, 2018
Formal Power Series and Algebraic Combinatorics, Dartmouth College, July 16-20, 2018
Combinatorial Algebraic Geometry Retrospective Workshop, Fields Institute, University of Toronto, June 18-22, 2018