About Me
I am a postdoctoral researcher in Mathematics at the IMJ-PRG , Sorbonne Université, Paris, working within the Équipe Analyse Algébrique under the supervision of Professor Penka Georgieva.
My research interests center around enumerative aspects of Algebraic Geometry, Hodge theory, Modularity and their relations with Physics, especially Gromov-Witten, Donaldson-Thomas theory and Mirror Symmetry. I am specially interested in real and refined versions of these theories, Real Gromov-Witten invariants and A¹-enumerative geometry. The goal is not only to understand how physical invariants can be realized in this context, but also to explore more general problems. I am also interested in Singularity Theory and how it relates to the topics above.
Before joining Sorbonne Université, I completed my PhD in February 2024 at the Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, under the supervision of Professor Hossein Movasati and co-supervision of Professor Johannes Walcher from the University of Heidelberg.
Curriculum Vitae
You can view my full CV here.
Publications and Preprints
- Felipe Espreafico, "Gauss-Manin connection in disguise: Open Gromov-Witten invariants", 2022. arXiv:2205.08302
- Felipe Espreafico and Johannes Walcher, "On Motivic and Arithmetic Refinements of Donaldson-Thomas invariants", Communications in Number Theory and Physics, Volume 18, Number 1, 2023.
- Felipe Espreafico, Stephen McKean, and Sabrina Pauli, "Quadratic Segre indices", 2025. arXiv:2506.01547
Other Writing
My PhD Thesis: Modularity and Enumerative Geometry of Physical invariants
Here are some notes I have written on various topics related to my research:
Contact
Email: espreafico-guelerman@imj-prg.fr
Institution: IMJ-PRG, Sorbonne Université
Address: 4 Place Jussieu, 75005 Paris, France
Office: 15-25-501