Welcome!
I am a Research Fellow at the university of St Andrews. I work with Yoav Len, funded by his EPSCR New Investigator award.
My email address is tdp1 [at] st-andrews.ac.uk.
My research is in algebraic geometry. My main interests are compactifications of moduli spaces, families of curves and abelian varieties, logarithmic geometry, tropical geometry.
Publications:
"Models of Jacobians of curves" Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2023, no. 801, 2023, pp. 115-159. https://doi.org/10.1515/crelle-2023-0031 (with David Holmes, Samouil Molcho and Giulio Orecchia)
"Neron models of Jacobians over bases of arbitrary dimension" epiga:7340 - Épijournal de Géométrie Algébrique, September 21, 2022, Volume 6 - https://doi.org/10.46298/epiga.2022.7340
"Néron models in high dimension: Nodal curves, Jacobians and tame base change" (PhD thesis)
Preprints:
"Extending torsors to degenerations of curves" (2024, with Sara Mehidi) https://arxiv.org/abs/2407.10924
"The many faces of a logarithmic scheme" (2024, with Dhruv Ranganathan) https://arxiv.org/abs/2412.12078
On 18-19 April 2024, I organized a GLEN workshop with Johan Martens on tropical geometry in St Andrews.
Some of my favourite things include: bouldering, really good movies, really bad movies, math puns, and puppies.