Carlos Caralps

About

I am an ALGANT graduate student at Universiteit Leiden (Leiden, Netherlands) interested in Number Theory, especially in the Stark Conjecture, and the usage of theorem prover software in mathematical education. In the following lines, you can read my curriculum vitae. You can also see my resume in a document format here CV.

Education

  • (Jul 2023- Present) ALGANT Master (specialized in Algebra, Geometry and Number Theory).
    • (Jul 2023- Present) Master at Universiteit Leiden.
    • (Starting Jul 2024) Master at Universität Duisburg-Essen.
  • (Jul 2019- Jul 2023) Bachelor in Mathematics at Universitat Autònoma de Barcelona.
    • (Jul 2022- May 2023) Exchange Program at Concordia University.
    • (Sep 2022- Jun 2023) Senior Thesis: A generalization of a Charollois-Darmon conjecture for certain lattice zeta functions associated to ray class field of ATR fields.

Research Experience

  • (Jul 2023- Sep 2023) Graduate research assistant at the Mathematics Institute of Universiteit Leiden.
  • (May 2023- Jun 2023) Undergraduate researcher assistant at the Mathematics Department of Université Laval.
  • (Jul 2022- Sep 2022) Undergraduate researcher assistant at the Mathematics Department of Université Laval.
  • (Mar 2022- Jul 2022) Undergraduate researcher assistant at the Mathematics Department of Universitat Autònoma de Barcelona.
  • (Dec 2020- Jun 2022) Member of the Barcelona LEAN Seminar (working group ran by Professor Marc Masdeu).

Teaching Experience

  • (Jan 2022- Jul 2022) Associated researcher in the Barcelona International Youth Science Challenge (BIYSC, organized by Fundació Catalunya-La Pedrera).
  • (Jul 2021- Jun 2022) Member of the docent innovation group of the Universitat Autònoma de Barcelona "Lean in the classroom".

Talks

  • (8 Feb 2024) 37th edition of the Barcelona Number Theory Seminar, "Analytic expressions of Stark Numbers" (organized by Universitat de Barcelona, Universitat Autònoma de Barcelona and Universitat Politècnica de Catalunya).
  • (15 Oct 2022) 2022 Québec-Maine Number Theory Conference, "Computation of values of zeta functions using Eisenstein series" (organized by the Université Laval and the University of Main).
  • (16 Feb 2022) SIMBa seminar, "From far-out mystery to a useful tool" (organized by Universitat de Barcelona, Universitat Autònoma de Barcelona and Universitat Politècnica de Catalunya).

Organization

  • (Nov 2023- Present) CFT Master Seminar (organized together with Paolo Bordignon).

Courses

  • (Oct 2023- Present) Professor Vonk seminar (organized by Universiteit Leiden).
  • (Oct 2022- Dec 2022) Number Theory Montréal's Graduate Student Seminars (organized by McGill University and Concordia University).
  • (Mar 2022- Jun 2022) An invitation to p-adic methods in Number Theory (organized by Barcelona Graduate School of Mathematics).
  • (Jul 2021) XIV Edition of the JAE School of Mathematics (organized by Instituto de Ciencias Matemáticas).
  • (Jul 2020) Workshop about Mathematics and COVID-19 (organized by Societat Catalana de Matemàtiques).
  • (Dec 2019- Jan 2023) Carnet de Monitor/a d'activitats d'educació en el lleure infantil i juvenil (granted by Generalitat de Catalunya. Departament de Treballs, Afers Socials i Famílies. Direcció General de Joventut).

Conferences Attended

  • (Apr 2024) DIAMANT Symposium Spring 2024 (organized by DIAMANT).
  • (Feb 2024) 37th edition of the Barcelona Number Theory Seminar (organized by Universitat de Barcelona, Universitat Autònoma de Barcelona and Universitat Politècnica de Catalunya).
  • (Nov 2023) DIAMANT Symposium Autumn 2023 (organized by DIAMANT).
  • (Nov 2023- Present) Intercity Number Theory Seminar (organized by Koninklijk Nederlands Wiskundig Genootschap).
  • (Aug 2023) Numbers in the Universe (organized by International Centre for Mathematics in Ukraine).
  • (Jul 2023) Machine-Checked Mathematics (organized by Lorentz Center).
  • (Feb 2023- Mar 2023) Number Theory Working Group (organized by Centre de Recherches Mathématiques du Québec).
  • (Jan 2023- Mar 2023) MOBIUS Analytic Number Theory Seminar (organized by Université de Montréal).
  • (Sep 2022- Apr 2023) Québec-Vermont Number Theory Seminar (organized by McGill University, Concordia University and Université de Montréal).
  • (Oct 2022) Québec-Maine Number Theory Conference (organized by Université Laval and the University of Maine).
  • (May 2022) LEAN in Lyon (organized by Université Jean Monet).
  • (Feb 2022) 35th edition of the Barcelona Number Theory Seminar (organized by Universitat de Barcelona, Universitat Autònoma de Barcelona and Univarsitat Politècnica de Catalunya).

Scholarships

  • (Sep 2023- Present) ALGANT Leiden Scholarship.
  • (Jul 2023- Sep 2023) Erasmus+ Pràctiques.
  • (Sep 2022- May 2023) MOBINT Scholarship (granted by the Generalitat de Catalunya).
  • (Sep 2022- May 2023) UAB Exchange Programme Scholarship (granted by Universitat Autònoma de Barcelona).
  • (Jul 2022- Sep 2022) ULaval Internship Scholarship (granted by Centre de Recherches Mathématiques du Québec).
  • (Jul 2022- Sep 2022) UAB Exchange Programme Traineeships Scholarship (granted by Universitat Autònoma de barcelona).

Languages

  • Catalan as a native language.
  • Spanish as a native language.
  • English Advance Level.
    • (Oct 2021) TOEFL internet Based Test with a score of 98.
    • (Sep 2021) Cambridge Certificate in Advanced English.
  • French Introductory Level.
    • (Sep 2022- Dec 2022) Concordia Course FRAN 211: Elementary French Language.