I'm a mathematician, currently working as an AEP Lecturer at King's College London. My research is in the fields of differential geometry and geometric analysis, focusing on geometric flows and calibrated submanifolds.

Much of my research explores the Lagrangian mean curvature flow in Calabi-Yau and Kähler-Einstein manifolds, a natural higher-dimensional generalisation of the curve shortening flow which with links to conjectures in theoretical physics. More recently I have also been working on problems in \(G_2\) geometry, free-boundary minimal surfaces, and computational verification. For more information on my publications, see my research page.

I am an enthusiastic public speaker, and have talked and written about mathematics of all types throughout my career; for more information, see my teaching page. If you would like me to give a talk or masterclass at your school or society, are interested in personal tuition, or have a question about my research, please send me an email.

Publications and Preprints

  1. Convergence of Cohomogeneity-One Lagrangian Mean Curvature Flow in Positive Kähler-Einstein Manifolds (joint with Toru Kajigaya and Naotoshi Fujihara).
  2. Lagrangian Translating Solitons and Special Lagrangians in \(\mathbb{C}^m\) with Symmetries (joint with Wei-Bo Su).
  3. Infinite-Time Singularities of the Lagrangian Mean Curvature Flow (joint with Wei-Bo Su and Chung-Jun Tsai). Submitted.
  4. Cohomogeneity-One Lagrangian Mean Curvature Flow (joint with Jesse Madnick). Math. Ann. 391 Vol. 7 (2025)
  5. Singularities of Equivariant Lagrangian Mean Curvature Flow. Comm. Anal. Geom. 37 Vol. 7 (2024)
  6. Lagrangian Mean Curvature Flow with Boundary (joint with Chris Evans and Ben Lambert). Calc. Var. 61, 106 (2022)

In Preparation

  • Cohomogeneity-One Lagrangian Mean Curvature Flow in Calabi-Yau Manifolds (joint with Ben Lambert)

Current Teaching

King's College London: '4CCM113A : Linear Algebra and Geometry I' (Tutor)

King's College London: '4CCM115A : Sequences and Series' (Tutor)

King's College London: '6CCM345A : Third Year Project' (Supervisor)

Nesin Mathematical Village Course: `Modern Techniques in Geometric Flows'

Click here for Lecture notes and Exercises

Contact Information

Feel free to contact me at my university email or personal email, or send me a physical object at the following address:

Department of Mathematics // Strand Building // King's College London, Strand Campus // Strand // London // WC2R 2LS