Gregory Cousins

Assistant Professor, McMaster University

Department of Mathematics & Statistics. Working at the intersection of model theory, field theory, and algebraic geometry.

CV (pdf)
Gregory Cousins
Hamilton Hall 316, McMaster University
cousingd@mcmaster.ca
(905) 525-9140 ext. 27365

About

I am an assistant professor in the Department of Mathematics & Statistics at McMaster University. My research focuses on model theory and its interactions with other areas of mathematics—in particular, the model theory of fields and connections between model theory, algebraic geometry, and number theory. I also have a soft spot for the foundations of physics.

I completed my PhD at the University of Notre Dame under the supervision of Anand Pillay, my MSc at the University of Oxford (Somerville College) supervised by Boris Zilber, and my BSc at McMaster University.


Research Interests

Model Theory Stability theory, classification theory, and the Lascar group
Field Theory Large fields, PAC fields, and fields with extra structure
Algebraic Geometry Interactions between model theory and algebraic geometry
AI / ML & Logic Statistical modelling and connections with mathematical logic

Publications & Preprints

Classifying Spaces and the Lascar Group
Tim Campion, Greg Cousins & Jinhe Ye
The Journal of Symbolic Logic, 2021 · DOI
Embedded Picard–Vessiot Extensions
Quentin Brouette, Greg Cousins, Anand Pillay & Françoise Point
Communications in Algebra, 46:11, 4609–4615, 2018 · DOI

Notes & Translations

Corps et Chirurgie (Fields and Surgery)
An English translation of the paper by Pillay and Poizat.
Pseudofinite Model Theory
Notes from a topics course given by Anand Pillay, Fall 2014, Notre Dame.
Categorical Logic
Notes from a topics course given by Anand Pillay, 2017, Notre Dame.
Hrushovski's PhD Thesis
A searchable copy of Hrushovski's PhD thesis.
The Elementary Theory of Regularly Closed Fields
Unpublished paper by Cherlin, van den Dries, and MacIntyre on the model theory of PAC fields.


Teaching

Winter 2026 — Current

Math 3TP3Instructor
Math 1MM3 Calculus for Business, Humanities & Social SciencesInstructor
iSci 1A24 Integrated Science I, MathematicsInstructor

2024 – 2025

Math 3QC3 Intro to Quantum ComputingCoordinator, Winter 2025
Math 1C03 Intro to Mathematical ReasoningCoordinator, Winter 2025
Stats 3Y03/3J04 Applied Prob. & Stats for EngineersCoordinator, Fall 2024
iSci 1A24 Integrated Science I, MathematicsInstructor, 2024–25
Math 1MM3 Calculus for Business, Humanities & Social SciencesInstructor, Winter 2024
Math 1MP3 Intro to Programming in PythonInstructor, Winter 2024

2022 – 2023

Stats 3Y03/3J04 Applied Prob. & Stats for EngineersCoordinator/Instructor
iSci 1A24 Integrated Science I, MathematicsInstructor, 2022–23
Math 798 Graduate Reading: Stability TheoryInstructor, Winter 2023
Math 1MM3 Calculus for Business, Humanities & Social SciencesCoordinator, Winter 2023
Stats 2D03 Intro to Probability TheoryInstructor, Fall 2022
Math 1MP3 Intro to Programming in PythonInstructor, Winter 2022
Math 1C03 Intro to Mathematical ReasoningInstructor, Winter 2022

2019 – 2021

Math 3IA3 Intro to AnalysisInstructor, Fall 2021
Stats 3Y03/3J04 Applied Prob. & Stats for EngineersInstructor/Coordinator
Stats 2D03 Intro to Probability TheoryInstructor
Stats 4A03 Time Series Analysis (R)Instructor, Winter 2021
Stats 2MB3 Statistical Methods (R)Instructor, Winter 2021
Math 1M03 Calculus for Business/HumanitiesCoordinator, Winter 2021
Math 1C03 Intro to Mathematical ReasoningInstructor, Fall & Winter 2020
Math 701 Graduate AlgebraInstructor, Fall 2020
Math 1B03 Linear Algebra IInstructor, Winter 2020
Math 2R03 Linear Algebra IIInstructor, Winter 2020