Daniel Platt
Postdoc in pure mathematics
Imperial College London, Huxley building room 608
E-mail: daniel.platt.berlin (at) gmail.com
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 fellowship mentor is Anthea Monod. My Full Academic CV can be downloaded here.
Preprints
| Published | Publication | Link |
|---|---|---|
| 2026 | The Kähler-Einstein metric on the third Del Pezzo surface. Joint with Timothy Buttsworth, William Hadden, Elli Heyes, and Toby Wiseman. arXiv e-prints, arXiv:2609.32655. | Link |
| 2026 | An isoperimetric problem for Fourier zeros of centrally symmetric convex bodies. Joint with Javier Gómez-Serrano, Michael Levitin, and Iosif Polterovich. arXiv e-prints, arXiv:2609.10517. | Link |
| 2026 | Non-uniqueness and symmetries for the Nirenberg problem using computer assistance. arXiv e-prints, arXiv:2603.29544. | Link |
| 2025 | Lower bounds for the reach and applications. Joint with Raúl Sánchez Galán. arXiv e-prints, arXiv:2505.08427. | Link |
| 2025 | Local uniqueness of the Black String with small circle size. Joint with Emma Albertini. arXiv e-prints, arXiv:2505.04573. | Link |
| 2024 | Harmonic 1-forms on real loci of Calabi-Yau manifolds. Joint with Michael R. Douglas, Yidi Qi, and Rodrigo Barbosa. arXiv e-prints, arXiv:2405.19402. | Link |
Publications and preprints that are accepted for publication
| Published | Publication | Link |
|---|---|---|
| 2026 | Examples of real stable bundles on K3 surfaces. Joint with Dino Festi, Ragini Singhal, and Yuuji Tanaka. Mathematische Zeitschrift. | Link (arXiv) |
| 2025 | Spin(7)-instantons on Joyce's first examples of compact Spin(7)-manifolds. Joint with Mateo Galdeano, Yuuji Tanaka, and Luya Wang. The Journal of Geometric Analysis. | Link (arXiv) |
| 2025 | Existence of torsion-free G2-structures on resolutions of G2-orbifolds using weighted Hölder norms. Communications in Analysis and Geometry. | Link (arXiv) |
| 2024 | Towards a uniqueness theorem for static black holes in Kaluza-Klein theory with small circle size. Joint with Emma Albertini and Toby Wiseman. Journal of High Energy Physics. | Link (arXiv) |
| 2024 | K3 surfaces with two involutions and low Picard number. Joint with Dino Festi and Wim Nijgh. Geometriae Dedicata. | Link (arXiv) |
| 2024 | G2-instantons on resolutions of G2-orbifolds. Communications in Mathematical Physics. | Link (arXiv) |
| 2022 | Group invariant machine learning by fundamental domain projections. Joint with Benjamin Aslan and David Sheard. NeurIPS 2022 proceedings. | Link (arXiv) |
| 2022 | Associative submanifolds in Joyce's generalised Kummer constructions. Joint with Shubham Dwivedi and Thomas Walpuski. Communications in Mathematical Physics. | Link (arXiv) |
Publications and preprints where I am not a first author, and short papers
| Published | Publication | Link |
|---|---|---|
| 2024 | A New Canonical Log-Euclidean Kernel for Symmetric Positive Definite Matrices for EEG Analysis. Joint with Gabriel Leander Wagner vom Berg, Vera Röhr, and Benjamin Blankertz. IEEE Transactions on Biomedical Engineering. | Link |
| 2024 | Group-invariant machine learning on the Kreuzer-Skarke dataset. Joint with Christian Ewert, Sumner Magruder, Vera Maiboroda, Yueyang Shen, and Pragya Singh. Physics Letters B. | Link |
Miscellaneous
| Title | Description | Link |
|---|---|---|
| 2026-05-29 talk slides | 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 |
| 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 |