I am a Mathematics PhD student at BarcelonaTech-UPC, working under the supervision of Victor Rotger Cerdà. Before starting my PhD, I got my BSc in Mathematics at the University of Barcelona (UB), where I wrote my final thesis on "Algebraic Groups and Tannakian Categories" under the supervision of Teresa Crespo. After that, I got my MSc in Mathematics at the University of Copenhagen, where I mostly specialized in Homotopy Theory. The title of my MSc thesis is "Topological Hochschild Homology and L-functions", and it was supervised by Ryomei Iwasa.

Academic Interests

My goal is to apply homotopy and K-theoretic methods to solve problems in (non-commutative) Iwasawa Theory, and to understand p-adic L-functions from the perspective of higher algebra.

Galatius-Venkatesh Seminar

I am currently co-organizing with Armando Gutierrez a seminar on the paper "Derived Galois deformation rings" by Galatius-Venkatesh. I will try to keep notes for all the talks here, some have been TeX'd by me, others were provided by the speakers.

• Talk 1 (Luis Dieulefait).
• Talk 2 (Luis Dieulefait).
• Talk 3 (G).
• Talk 4 (Antonio Cauchi).
• Talk 5 (Oscar Rivero).
• Talk 6 (Santiago Molina).

Expository Writing

• Topological cyclic Homology and the Hasse-Weil zeta function, notes from my MSc thesis defense (July 2019).
• Topological Hochschild Homology and L-functions, my MSc thesis (May 2019).
• An introduction to stable ∞-categories, (will upload soon) notes for the seminar/course Topics in Algebraic Topology (November 2018).
• Algebraic Groups and Tannakian Categories, my BSc thesis (June 2017).

Other Activities

• During my free time I like to go climbing and cycling. Traveling and eating with my girlfriend Verónica are also some of my greatest hobbies.
• I also happen to be the lead singer and guitarist at Barbott, a spanish band based in Barcelona. You can find our music on Spotify and Youtube. Here's a link to one of our songs.

Contact