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Héctor del Castillo Gordillo

Ph.D. in Mathematics, Université Paris-Saclay and Pontificia Universidad Católica de Valparaíso

Héctor del Castillo Gordillo

Ph.D. in Mathematics, Université Paris-Saclay and Pontificia Universidad Católica de Valparaíso

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Héctor del Castillo Gordillo Blog Notes

I am a BRL-LFANT postdoctoral researcher at Chonnam National University in Gwangju, South Korea.

I was FONDECYT 2022 postdoctoral fellow at the Universidad de Santiago de Chile. I completed my Ph.D. under the supervision of Luis Lomelí and Guy Henniart (Chile-France Cotutelle). My main research focus is the Langlands program. My Ph.D. thesis establishes a special case of the Langlands functoriality conjecture for globally generic automorphic representations in positive characteristic.

Apart from my research interests, I also enjoy learning different aspects of algebraic geometry.

Finally, my interests outside of mathematics are cooking, coffee & tea, health and philosophy.

Mathematical notes collage

(Pre)publications

  1. Generic Langlands conjectures for general spin groups in positive characteristic, with Kim and Lomelí. Work in progress.
  2. Higher Hida theory for Drinfeld modular curves, with Barrera and Rosso. Preprint (2025).
  3. On Kim's Assumption A over function fields, with Lomelí. Proceedings for the BIRS-CMO Workshop "Langlands Program: Number Theory and Representation Theory", a volume in the Fields Institute Monographs (to appear).
  4. On generic representations of quasi-split reductive groups over local fields of positive characteristic, with Henniart and Lomelí. Preprint (2024).
  5. Langlands functoriality conjecture for SO*(2n) in positive characteristic. Preprint (2022).
  6. Thesis (2021).

Research activities

Links

Short CV

zbMath

Grothendieck en Español

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