Andrew Burke
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I am a fourth-year mathematics PhD student at Harvard University, advised by Mihnea Popa. Previously, I did Part III of the Mathematical Tripos at the University of Cambridge, supported by a Churchill Scholarship. I graduated from the University of Notre Dame with a BS in mathematics in Spring 2022.
My research interests include Hodge theory, singularities, and birational geometry.
Papers and preprints
Negative K-theory and Hodge theory, with Mihnea Popa and Wanchun Shen, preprint.
Local Cohomological Defect and a Conjecture of Mustață-Popa, preprint
Involution on the Graded Grothendieck Ring of Varieties and D-Singularities, Int. Math. Res. Not. (2026), no. 11, rnag097.
Geometric Manin's Conjecture for Fano 3-Folds, with Eric Jovinelly, preprint
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