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:

Higher categories
Derived algebraic/differential geometry
Mirror symmetry and related topics
Algebraic K-theory and cobordism
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

Connections in the Tangent Category of Affine Schemes. [pdf]

My undergraduate thesis.

P. Lelièvre, E. Vandenberg, H. Hebb, and K. Butler, Mesh design for electrical resistivity imaging of agricultural dikes.

Talks

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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