Research

I am interested in a mix of complex algebraic geometry and algebraic topology, and I like using tools from (higher) category theory. My interests include:

Algebraic K-theory and cobordism
Motivic cohomology
Derived algebraic/differential geometry
Tangent categories and their applications

Preprints and publications

G. Cruttwell, JS Lemay, and E. Vandenberg, A Tangent Category Perspective on Connections in Algebraic Geometry. Applied Categorical Structures 33, 4 (2025). [ACS] [arXiv]

Submissions and other works

P.G. Lelievre, E. Vandenberg, H. Hebb, and K. Butler. Mesh design for electrical resistivity imaging of agricultural dikes. Near Surface Geophysics, 1–10 (2026). [NSG]
Connections in the Tangent Category of Affine Schemes (2024). [pdf]

My undergraduate thesis.

Talks

A beginner's guide to tangent categories [slides]

A talk given at the Western University graduate seminar, February 2026.

Tannaka duality [slides]

A talk given at the Western University algebraic geometry seminar, November 2025.

Lawvere-Tierney topologies [notes]

A talk given at the Western University topos theory seminar, October 2025.

Connections in the tangent category of affine schemes [slides]

A talk given at Mount Allison University, April 2024.

Connections in algebraic and differential geometry [slides]

A talk given at Mount Allison University, December 2023.

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