I am a final year PhD student at University College London, and the London School of Geometry and Number Theory, under the supervision of Prof. Costante Bellettini .
My research interests lie in geometric analysis, geometric measure theory and calculus of variations. My current research is on constant mean curvature and minimal hypersurfaces, as well as the Allen-Cahn equation.
Email: myles [dot] workman [dot] 16 [at] ucl [dot] ac [dot] uk
Pre-Prints
Upper Semicontinuity of Index Plus Nullity for Minimal and CMC Hypersurfaces: arxiv: 2312.09227 (2023)
Published and Accepted Papers
Embeddedness of Min-Max CMC Hypersurfaces in Manifolds with Positive Ricci Curvature: with C. Bellettini, Nonlinear Differential Equations and Applications NoDEA, vol. 31, no. 27 (2024) (arxiv: 2212.09605)
Talks
NCTS Differential Geometry Seminar (17/04/24)
Tokyo Institute of Technology (11/03/24)
London PDE Seminar (09/02/24)
Leeds Geometry Seminar (07/02/24)
Warwick Junior Analysis and Probability Seminar (29/01/24)
CUHK Geometric Analysis Seminar (26/01/24)
KCL/UCL Junior Geometry Seminar (08/01/24)
UCL Postgraduate Seminar (07/03/23)
Early Career Researchers in Mathematics (21/06/22)
Imperial Junior Geometry Seminar (21/02/22)
KCL/UCL Junior Geometry Seminar (07/10/21)