Javier de la Bodega's webpage

Javier de la Bodega Domingo-Aldama

I am postdoc at the Alfréd Rényi Institute of Mathematics (Hungary), with András Némethi as mentor. Previously, I was a PhD student under the supervision of Nero Budur at KU Leuven (Belgium) and Javier Fernández de Bobadilla at BCAM (Spain).

I am interested in Algebraic Geometry in a broad sense. Currently, I am working on the connection between contact loci in arc spaces and the symplectic properties the Milnor fibration.

You can contact me at any of the following email addresses:

jdelabodega@renyi.hu

jdelabodega@bcamath.org

You can find my CV here.

Preprints

The embedded Nash problem on singular spaces: the case of surfaces, 2024.

The Arc-Floer conjecture for plane curves, 2023. In collaboration with Eduardo de Lorenzo Poza.

Publications

On the embedded Nash problem, 2024, in Forum of Mathematics, Pi. In collaboration with Nero Budur, Eduardo de Lorenzo Poza, Javier Fernández de Bobadilla and Tomasz Pełka.

PhD Thesis

In January 2025, I defended my PhD thesis: The arc-Floer conjecture and the embedded Nash problem in singular spaces. You can find it here.

Talks

Arc spaces in algebraic geometry and Floer theories in symplectic topology. A mysterious relation. RSME's 7th Congress of Young Researchers, Bilbao (Spain). 16/1/2025.

Contact loci in singularity theory. IberoSing International Workshop 2024, Madrid (Spain). 26/11/2024.

The arc-Floer conjecture for plane curve singularities. Algebraic Geometry and Differential Topology Seminar of the Alfréd Rényi Institute, Budapest (Hungary). 22/11/2024.

The arc-Floer conjecture: from arithmetic to symplectic topology. Groups, Arithmetic and Algebraic Geometry Seminar of EPFL, Lausanne (Switzerland). 13/11/2024.

La conjetura arco-Floer. Cuando la aritmética topa con los sistemas hamiltonianos. Aula BCAM-UPV/EHU, Bilbao (Spain). 13/3/2024.

Contact loci and Floer cohomology of the monodromy. The case of plane curves. International Conference in Algebraic Geometry and Singularities, Nha Trang (Vietnam). 10/2/2023.

Riemann surfaces via Galois theory. PhD Seminar of Saint Charles, Marseille (France). 8/12/2021.

Introducción a la conjetura de la monodromía. Iberosing, Sesión especial de doctorandos, Madrid (Spain). 28/10/2021.

Events

Organising Committee for Math SOMMa Junior Meeting, Barcelona (Spain). 4-6/10/2024