Published papers (in reverse chronological order when the preprint first appeared) :
Examples of deformed Spin(7)-instantons/Donaldson-Thomas connections - arXiv:2311.11794 (to appear in Communications in Mathematical Physics)
Harmonic flow of quaternion-Kähler structures (joint with Henrique Sá Earp) - The Journal of Geometric Analysis 34, article 183 (2024) - published version, arXiv:2301.12494
Explicit abelian instantons on S1-invariant Kähler Einstein 6-manifolds - Journal of Geometry and Physics 203, 105269 (2024) - published version, arXiv:2207.02940
Anti-instantons on a class of quaternionic Kähler manifolds - The Quarterly Journal of Mathematics 74, Issue 4, 1403-1413 (2023) - published version, preprint version
Symmetries, tensors, and the Horrocks bundle (joint with Simon Salamon) - Differential Geometry and its Applications 82, article 101892 (2022) - published version (open access)
Einstein metrics on bundles over hyperKähler manifolds - Communications in Mathematical Physics 403, 1-35 (2023) - published version, arXiv:2105.04254
S1-invariant Laplacian flow - The Journal of Geometric Analysis 32, article 17 (2022) - published version, arXiv:2007.05130
Spin(7) metrics from Kähler Geometry - Communications in Analysis and Geometry 31, Number 5, 1217-1258 (2023) - published version, arXiv:2002.03449
S1-quotient of Spin(7)-structures - Annals of Global Analysis and Geometry 57, 489-517 (2020) - published version, arXiv:1909.03962
Preprints:
Flows of SU(2)-structures (joint with Henrique Sá Earp) - arXiv:2407.03127
Deformed G2-instantons on R4 x S3 - arXiv:2208.10380 (submitted)
PhD Thesis:
Circle and Torus Actions in Exceptional Holonomy (2020) - supervised by Jason Lotay and Simon Salamon
Master's Thesis:
A functional analytic approach to Morse Theory (2016) - supervised by Chris Wendl - this is essentially a thorough exposition to the analytic ideas involved in the setup of infinite dimensional Morse theory