# Research

# Preprints

*Simplicial \(C_2\)-isovariant homotopy*. 2023. Currently under revision, comments are welcome!

# Theses

PhD Thesis:

*Simplicial \(C_2\)-Isovariant Homotopy Theory.*(A copy of my PhD thesis will be available soon).Master report:

*Applications of motivic homotopy theory to arithmetic counts of lines*. Université Grenoble Alpes - France.

I studied the Kass-Wicklengren’s generalization of Salmon-Cayley’s theorem regarding the number of lines on a smooth projective curve.

- Undergraduate report:
*El Teorema de Riemann-Roch*. Universidad Nacional de Colombia. Colombia.

I studied André Weil’s proof of the Riemann-Roch Theorem for curves over algebraically closed fields. The report is written in spanish.