Overview
My research is in geometric analysis and differential geometry. More specifically:
differential geometry: manifolds with special holonomy groups,
low dimensional topology: 3- and 4-dimensional manifolds,
mathematical gauge theory: Donaldson-Floer and Donaldson-Thomas theories,
symplectic topology: Floer-theoretic invariants.
differential geometry: manifolds with special holonomy groups,
low dimensional topology: 3- and 4-dimensional manifolds,
mathematical gauge theory: Donaldson-Floer and Donaldson-Thomas theories,
symplectic topology: Floer-theoretic invariants.
Current Appointments & Affiliations
William W. Elliott Assistant Research Professor
·
2022 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2022 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
On the Donaldson-Scaduto conjecture
Preprint · January 27, 2024 CiteTowards a monopole Fueter Floer homology I: a compactness theorem
Preprint · May 16, 2023 CiteSingular Monopoles on Closed 3-Manifolds
Preprint · October 25, 2022 CiteEducation, Training & Certifications
Stony Brook University ·
2022
Ph.D.