Felipe Espreafico Guelerman

I am a Postdoctoral researcher in Mathematics at IMJ-PRG in Paris, France. I work at the Équipe Analyse Algébrique and I am supervised by Professor Penka Geoergieva .

My research interests center around enumerative aspects of Algebraic Geometry, Hodge theory and its relations with Physics. Lately, I've been working in the field of A¹-enumerative geometry. I'm interested in understanding how Physical invariants can be realized in this context, but also on more general enumerative problems. In a different direction, I've also been working on modularity properties of Gromov-Witten invariants and on its Hodge theoretical properties. My other interests include Singularity Theory and Symplectic Geometry.

I finished my PhD in February 2024 at IMPA, Rio de Janeiro under supervision of Professor Hossein Movasati and cosupervision of . Professor Johannes Walcher, from University of Heidelberg.

For more information on my background, see my CV.

Publications and Preprints

• Gauss-Manin connection in disguise: Open Gromov-Witten invariants, 2022. ArXiv:2205.08302
• (with Johannes Walcher) On Motivic and Arithmetic Refinements of Donaldson-Thomas invariants, 2023. Communications in Number Theory and Physics, Volume 18, Number 1

Talks, Posters and Notes

• My PhD Dissertation: Modularity and Enumerative Geometry of Physical Invariants
• Mirror Symmetry and Fukaya Categories
• Serre's GAGA Theorem
• Heidelberg, 2023 Arithmetic and motivic definements of degree zero DT invariants of A³ (at the event Hodge theory, Mirror Symmetry, and Physics of Calabi-Yau Moduli )
• Orsay, 2022 Gauss-Manin connection in disguise (Poster presented in the GAeL conference)
• Rio de Janeiro, 2022 Enumerative Geometry and Physics (on Student Algebraic Geometry and Foliations Seminar at IMPA)
• Campinas, 2021 Fukaya Categories and the HMS Conjecture (in portuguese)

Teaching

I worked as a Teaching Assistant for some courses.

• Riemann Surfaces, August-November 2023.
• Differential Topology, January-March 2022.

Contact Information

Address:
Office 15-25-501
Insitute de Mathématiques de Jussieu
Université Sorbonne
4 place de Jussieu
75005 Paris, France

E-mail: espreafico-guelerman "at" imj-prg "dot" fr