About
I am currently a Postdoctoral Research Assistant at Queen Mary University of London, working with Huy The Nguyen. I recently completed my Ph.D. at the University of Warwick.
My research focuses on mean curvature flow and related topics. I am broadly interested in problems in geometric analysis.
You can reach me at j.danielsholgate(at)qmul.ac.uk
Published Articles
- Approximation of mean curvature flow with generic singularities by smooth flows with surgery. (2021). Advances in Mathematics, Volume 410, Part A, 2022, doi:10.1016/j.aim.2022.108715, [arXiv:2104.11647].
- Mean Curvature Flow from Conical Singularities. (2024). Joint with Otis Chodosh and Felix Schulze. Inventiones Mathematicae, Volume 238, 1041–1066, 2024, doi:10.1007/s00222-024-01296-8, [arXiv:2312.00759].
Preprints
- How close is too close for singular mean curvature flows? (2025). Joint with Or Hershkovits [arXiv:2503.11522].
Invited Talks
- Mean Curvature Flow from Conical Singularities
- Geometric Analysis Seminar, Cambridge University, UK (2025)
- GANG Seminar, QMUL, UK (2025)
- Pisan Workshop Saga Ep. V, Pisa, Italy (2024)
- Topology and Geometry Seminar, Hebrew University of Jerusalem, (Online) (2024)
- Geometry Seminar, Leeds, UK (2024)
- Geometry Seminar, Stanford, USA (2023)
- Approximation of mean curvature flow with generic singularities by smooth flows with surgery
- Junior Analysis Seminar, Imperial College, London, UK (2023)
- Geometry Seminar, Sorbonne, Paris, France (2023)
- Geometry Seminar, University of Copenhagen, (Online) (2022)
- Topology and Geometry Seminar, Hebrew University of Jerusalem, (Online) (2022)
- Geometric Analysis Seminar, OvGU Magdeburg, Germany (2022)
- Partial Differential Equations (Hybrid Meeting), MFO, Oberwolfach, Germany (2021)
- PDE CDT Seminar, University of Oxford, UK (2021)
- Geometric Analysis Seminar, Rutgers, (Online) (2021)