I'm an Postdoctoral Research Associate at Universidade Estadual de Campinas, under the BRIDGES collaboration. My research interests include, but are not limited to: geometric analysis, gauge theory, and Riemannian manifolds with special geometric structures. My collaborators past and present include Matt Turner (Bath), Daniel Fadel (UFRJ), Lorenzo Foscolo (Rome), Calum Ross (Edge Hill), and Derek Harland (Leeds). I finished my doctorate at University College London in 2022, under the supervision of Lorenzo Foscolo.
Publications and preprints
| Published | Title | Text |
|---|---|---|
| 2023 | G2-instantons on the spinor bundle of the 3-sphere (joint with Matt Turner). | arXiv, Journal |
| 2021 | SU(2)^2-invariant gauge theory on asymptotically conical Calabi-Yau 3-folds | arXiv, Journal |
Academic Talks (selected)
| Date | Title | Event | Material |
|---|---|---|---|
| Mar 2024 | Special Holonomy and Geometric Structures on Complex Manifolds (IMPA) | Video | |
| Jun 2023 | Workshop BRIDGES: Special geometries and gauge theories | Website | |
| Jun 2023 | Yorkshire and Durham Geometry Day | Website | |
| Nov 2022 | New G2-instantons on non-compact G2-manifolds with symmetries | University Libre de Brussels Geometry Seminar | Website |
| Nov 2022 | New families of G2-instantons | Oxford-London Gauge Assembly | OLGA2022 |
| Oct 2022 | Instantons on Riemannian metrics with holonomy G2 and SU(3) | Universite de Bretagne Occidentale |
Organised academic events and seminars
| Date | Title | Link |
|---|---|---|
| 3-7 July 2023 | British Isles Graduate Workshop IV | BIGWIV |
| June 2021 | Early-Career Researchers in Mathematics | ECRM2022 |
| 24-25 June 2021 | Oxford-London Gauge Assembly | OLGA2021 |
Miscellaneous
| Title | Description | Link |
|---|---|---|
| Chalkdust Magazine | A mathematics magazine I help edit and write | Article |
| ALE, ALF, and Abelian Instantons | Introductory notes on the Eguchi-Hanson and the Taub-Nut metrics | Notes |
| Introduction to Gauge Theory and Invariants | Slides for a graduate geometry seminar talk | Notes |
| Gray Manifolds | Talk notes for the British Isles Graduate Workshop III, typed up by Holly Mandel | Notes |
| The Calabi Ansatz | Introductory notes on the Calabi ansatz for Ricci-flat Kahler metrics | Notes |
| Introduction to Calibrated Geometry | Slides for a graduate geometry seminar talk | Notes |
| Gauge Theory Reading Seminar | Nahm's Equations and HyperKahler Quotient Constructions | Website | Gauge Theory Reading Seminar | Yang-Mills Instantons on Gravitational Instantons | Website |