Taylor Dupuy

Associate Professor, Department of Mathematics & Statistics, University of Vermont
Associate Researcher, GAATI Laboratory, Université de la Polynésie française.

Office: Innovation E439.
Email: taylor dot dupuy at gmail dot com
Teaching: Abstract Algebra I, Lafayette L107, MWF 12:00–12:50
Fundamentals of Mathematics, Kalkin 001, MWF 9:40–10:30

Before UVM I was a postdoc of Ehud Hrushovski, and a student of Alexandru Buium. My work tends to revolve around Diophantine equations, differential algebraic geometry, deformation theory, Witt vectors and the Frobenius, absolute geometry, applied model theory, and abelian varieties. I'm happy to talk to anyone about any kind of math; send me an email.

Seminars

• QVNTS — Quebec-Vermont Number Theory Seminar, biweekly at McGill and Concordia.
• unQVNTS — the local arithmetic geometry seminar, on QVNTS off weeks.
• GAATI Séminaire — arithmetic geometry seminar at the GAATI Laboratory, Université de la Polynésie française (co-organized 2025–2026).
• Algebraic Geometry Learning Seminar (not active).

For students

• Asking for a letter of recommendation?
• On studying arithmetic geometry: Emerton's comment on Terry Tao's blog.

Students

• Jesse Franklin, PhD 2024 — Computing the Canonical Ring of Certain Stacks.
• Anton Hilado, PhD 2025.
• Veronika Potter, undergraduate research, 2020–2022.

Past conferences I've organized

• Arithmetic Geometry, AMS Western Sectional, Albuquerque, 2021.
• AGITTOC (Algebraic Geometry in the Time of COVID) lecture series, online, 2020 (shepherd/co-organizer).
• Abelian Varieties in the LMFDB, Burlington, March 2019 (funded by the UVM CEMS PRSE).
• Witt Vectors, Deformations and Absolute Geometry, Burlington, Summer 2018.
• Sage Days 87: p-adics and LMFDB, Burlington, July 2017.
• Super QVNTS workshop on Anabelian Geometry and Kummer Classes, Burlington, Fall 2016.
• Algebraic Theory of Differential and Functional Equations, JMM, Atlanta, 2016.
• Arithmetic and Algebraic Differentiation, Berkeley, Summer 2015.
• Arithmetic and Differential Algebraic Geometry, AMS Western Sectional, Albuquerque, 2014.
• Witt Vectors, Lifting and Descent, JMM, San Diego, 2013 — slides.

Here is a list of past Witt vector conferences.. I was part of the MSRI (SLMath) semester program on Model Theory, Arithmetic Geometry and Number Theory in Spring 2014.

Links

Regular conferences

• Arizona Winter School
• AGNES (west coast: WAGS)
• QVNTS
• Kolchin Seminar
• Quebec-Maine
• Géométrie et Théorie des Modèles

Conference lists

• Arithmetic / Algebraic Geometry Conferences (Vakil, Kedlaya).
• Commutative Algebra Conferences
• Differential Algebra Conferences

Organizations

• AMS
• MSRI
• ICERM

Notes collections

• nLab
• Jinhyun Park's note collection
• Anton Geraschenko's note collection
• Alexandru Buium's note collection
• Keith Conrad's note collection
• Moshe Kamensky's note collection

Computational

• SageMath
• Macaulay2
• Magma
• LMFDB

Forums & comics

• MathOverflow
• math.stackexchange
• xkcd

Supported by the National Science Foundation, DMS-2401570 (Intersection Theory for Differential Equations). Opinions, findings, and conclusions or recommendations expressed are those of the author and do not necessarily reflect the views of the National Science Foundation or the University of Vermont.