Daniel Platt
Postdoc in pure mathematics
Imperial College London, Huxley building room 608
E-mail: daniel.platt.berlin (at) gmail.com
Office hour: Tuesday, 4pm-5pm (starting 14 Jan 2025)
I'm a postdoc at Imperial College London with a research interest in geometric analysis and machine learning. I previously was a postdoc at King's College London and obtained my PhD from Imperial College London where my advisors were Jason Lotay (University of Oxford) and Sir Simon Donaldson (Imperial College). My postdoc supervisors are Richard Thomas and Toby Wiseman. My Full Academic CV can be downloaded here.
Publications and preprints
| Published | Publication | Text |
|---|---|---|
| 2024 | Towards a uniqueness theorem for static black holes in Kaluza-Klein theory with small circle size. Joint with Emma Albertini, Toby Wiseman. arXiv e-prints, arXiv:2410.20967. | |
| 2024 | Harmonic 1-forms on real loci of Calabi-Yau manifolds. Joint with Michael R. Douglas and Yidi Qi. arXiv e-prints, arXiv:2405.19402. | |
| 2024 | K3 surfaces with two involutions and low Picard number. Joint with Dino Festi and Wim Nijgh. Geometriae Dedicata. | |
| 2024 | G2-instantons on resolutions of G2-orbifolds. Communications in Mathematical Physics. | |
| 2023 | Spin(7)-instantons on Joyce's first examples of compact Spin(7)-manifolds. Joint with Mateo Galdeano, Yuuji Tanaka, and Luya Wang. arXiv e-prints, arXiv:2310.03451. | |
| 2022 | Group invariant machine learning by fundamental domain projections. Joint with Benjamin Aslan and David Sheard. NeurIPS 2022 proceedings. | |
| 2022 | Associative submanifolds in Joyce's generalised Kummer constructions. Joint with Shubham Dwivedi and Thomas Walpuski. Communications in Mathematical Physics. | Link |
| 2020 | Improved Estimates for G2-structures on the Generalised Kummer Construction. arXiv e-prints, arXiv:2011.00482. |
Publications and preprints where I am not a first author, and short papers
| Published | Publication | Text |
|---|---|---|
| 2024 | A New Canonical Log-Euclidean Kernel for Symmetric Positive Definite Matrices for EEG Analysis. Joint with Gabriel Leander Wagner vom Berg, Vera Röhr, Benjamin Blankertz. IEEE Transactions on Biomedical Engineering. | |
| 2024 | Group-invariant machine learning on the Kreuzer-Skarke dataset. Joint with Christian Ewert, Sumner Magruder, Vera Maiboroda, Yueyang Shen, Pragya Singh. Physics Letters B. |
Miscellaneous
| Title | Description | Link |
|---|---|---|
| From Zero to Riemannian Manifolds in 8 Pages | Link | |
| G2-instantons on resolutions of G2-orbifolds (PhD thesis) | My PhD thesis in which I explain a new construction method for G2-instantons | Link |
| Getting started in Machine Learning as a Pure Mathematician | My personal opinions on what you should do if you're a pure mathematician that wants to get into machine learning | Link |
| Seiberg-Witten Invariants | Notes for a talk given in the London Geometric Analysis Reading Seminar | Link |
| What is a group and why should I care? | Slides for an interactive talk given in several Royal Institution Masterclasses | Link |
| Cohomogeneity one actions on symmetric spaces of noncompact type | Mini-project on the classification of cohomogeneity one actions on noncompact symmetric spaces, contains many pictures and explicit matrix calculations | Link |
| G2-instantons on non-compact manifolds | Mini-project on G2-instantons on non-compact manifolds with holonomy G2 obtained as solutions of the Hitchin flow equations | Link |
| Conformal Geodesics in Cartan Calculus | My master's thesis, giving the proof that conformal geodesics in a conformal manifold are the canonical curves in the associated Cartan geometry | Link |
| Differentialgeometrie | Lecture notes on differential geometry, written together with four other students in German | Link |
| Gesammelte Materialien aus der Mathematischen Schülergesellschaft | Course notes for a one year course in a mathematical enrichment programme featuring plane geometry, elementary number theory, combinatorial game theory, graph theory, and inequalities; in German | Link |