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
moduli of bundles
gauge theory, mirror symmetry and related topics
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, K Butler, X. Lu, and C. Farquharson, A Protocol for Assessing the Effectiveness of Electrical Resistivity Imaging for Agricultural Dike Investigation.

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