Finding π in Berlin, Autumn 2018.
Hi! I am postdoctoral researcher at the Universitat de Barcelona supervised by Vincent Pilaud, Arnau Padrol, and Kolja Knauer, funded by the Spanish-German project Combinatorial Polytope Theory (COMPOTE).
Previously, I was a Ph.D. student in mathematics at the University of Massachusetts Amherst, supervised by Alejandro Morales.
Before this, I obtained my MMath degree from the Department of Combinatorics and Optimization at the University of Waterloo under the supervision of Karen Yeats.
My research interests lie chiefly in algebraic combinatorics, with a particular focus on polytope theory, including flow polytopes such as the families of Pitman-Stanley polytopes and Chan-Robbins-Yuen polytopes. I am also interested in the combinatorics of quantum field theory as well as combinatorial algebraic geometry. Check out the Research tab to learn more about my publications and preprints.
You can reach me at william dot dugan at ub dot edu (and also at wdugan dot math at gmail dot com). I use pronouns: he/him/his.
You can find a copy of my CV here (last updated 9/22/2026).
The Third Annual Conference of the Priority Program Combinatorial Synergies, Goethe University, Frankfurt, September 14-16, 2026
Three Talks in Combinatorics, Universitat de Barcelona, June 11, 2026
Third GALICO Workshop, Centro Internacional de Encuentros Matemáticos, Universidad de Cantabria, Castro Urdiales, April 7-10, 2026
Beyond Permutahedra and Associahedra, International Centre Meetings Mathematics, Marseille, December 1-5, 2025
MdM Focused Research Programme on Combinatorial Geometries & Geometric Combinatorics, Centre de Recerca Matemàtica, Barcelona, October 1-November 28, 2025
UC Riverside Algebraic Geometry Seminar, University of California, Riverside, June 3, 2025
AMS Spring Eastern Sectional Meeting, Hartford, CT, April 5-6, 2025
Mathematics & Statistics Colloquium, University of Massachusetts Lowell, March 5, 2025
Richard P. Stanley Seminar in Combinatorics, Harvard University, December 4, 2024
Cornell Discrete Geometry and Combinatorics Seminar, Cornell University, November 18 , 2024
AMS Eastern Sectional Meeting, University at Albany, October 19-20, 2024
Michigan State University Combinatorics and Graph Theory Seminar, October 9, 2024
Graduate Online Combinatorics Colloquium, October 2, 2024
Advances in Geometric Combinatorics and Representation Theory: Flow Polytopes, Gentle Algebras, and Associated Posets, Université du Québec à Montréal, May 6-10, 2024
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 Algebraic 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