Julio Sampietro Christ

I am a fourth year PhD student working on Floer homology and symplectic reduction. My advisor is Claude Viterbo.

My interests lie in the field of symplectic topology, more specifically Floer theory. More broadly, I am interested in topology and geometry.

You can download my full CV here .

Bureau 3R8

Laboratoire de mathématiques d'Orsay
Bât. 307
Université Paris-Saclay
91405 Orsay

+33 7 69 20 XX XX

firstname.lastname@universite-paris-saclay.fr

Papers

Research:
- Equivariant Floer homology is isomorphic to reduced Floer homology, preprint, submitted
- Equivariant Lagrangian displacements, joint with Dylan Cant, preprint, submitted
Expository
- The Exotic World of Milnor's spheres, joint with Carlos Segovia. Appeared in Revista Colombiana de Matemáticas.

Equivariant Lagrangian non-displacements, IAS Symplectic Zoominar, November 2025
A Cartan Isomorphism for Equivariant Lagrangian Floer Theory, Symplectix seminar, Paris, October 2025
Equivariant Lagrangian Floer homology and the Cartan Isomorphism, Humboldt-Universität zu Berlin, Symplektische Geometrie Seminar, May 2025
Fukaya's approach part I, First European Kylerec, March 2025
A G-tour of equivariant Floer homology, Orsay COSY student seminar, May 2024
Second year presentation: A Cartan isomorphism for equivariant Floer homology, Orsay topology and dynamics team, May 2024 ( slides in French)
Proof of the main theorem part II, Floer Homotopy Theory Spring School, May 2024
An Overview of Hamiltonian Floer Homology, Orsay COSY student seminar, January 2024
Maslov and Conley-Zehnder indices, Pseudoholomoprhic Curves in Hamiltonian Dynamics, Heidelberg, February 2023
Homotopy theory of digraphs: A categorical viewpoint (Poster presentation), Mathematical Congress of the Americas, July 2021
Exotic Spheres: Hirzebruch's signature theorem, Sexta Escuela Oaxaqueña de Matemáticas, UNAM, México, February 2021

Conley Index (in Spanish), Bachelor's thesis. Under the supervision of Ernesto Rosales González.