Fernando Trejos Suárez

I am a third-year PhD student in Mathematics at Princeton (start date: August 2022), advised by Christopher Skinner. I am interested in algebraic number theory, more specifically Iwasawa theory, special values of L-functions, automorphic forms, and Shimura varieties.  I passed my General exams on May 12th, 2023; my committee members were Chris Skinner, Shou-wu Zhang, and Ruobing Zhang.

I graduated from Yale University in May 2022 with a combined B.S./M.S. in Mathematics, and a Certificate (i.e. minor) in Russian language. I was awarded the DeForest Prize in Mathematics at graduation. 

I'm originally from San José, Costa Rica. Before moving to the US for university, I represented Costa Rica at the 59th IMO in 2018, in Cluj-Napoca, Romania. 

Research

• Euler Systems via Eisenstein Classes on Modular Curves (with Zhengyuan Shang and Christopher Skinner).
  In preparation.

• Higher Beauville components of Ceresa cycles and Modified Diagonals (with  Lucas Lagarde,  Mohamed Moakher,  Morena Porzio, and James Rawson).
  In preparation.

• An Unconditional Explicit Bound on the Error Term in the Sato-Tate Conjecture (2021) (with Alexandra Hoey, Jonas Iskander, Steven Jin).
  The Quarterly Journal of Mathematics, Volume 73, Issue 4, December 2022, Pages 1189–1225
  (arxiv) (journal)

• Completeness of Positive Linear Recurrence Sequence (2020) (with Elżbieta Bołdyriew, John Haviland, Phúc Lâm, John Lentfer, and Steven Miller).
  Shortened version: Fibonacci Quarterly 58 (2020), no.5, 77–90. Full version: Combinatorial and Additive Number Theory V (Proceedings of CANT 2021), 21–77. Springer Proc. Math. Stat., 395.
  (arxiv) (journal, journal)

Notes and Seminars

• For the last few years Chris Skinner and Akshay Venkatesh have organized learning seminars at Princeton on historical mathematics. Some notes I have prepared for talks in these seminars:

  • 2023-2024 (Historical Class Field Theory): Hilbert's Zahlbericht, Hilbert 94 (=90+4), and the Birth of the Hilbert Class Field.

  • 2024-2025 (History of Iwasawa Theory): Iwasawa's Gamma Extensions of Algebraic Number Fields.

• I co-organized the Graduate Student Seminar at Princeton in 2023-2024 with Seoyeon Yang. 

• I co-organized a seminar on reps of p-adic reductive groups with Kenz Kallal in Fall 2023.

Name:  my surname is "Trejos Suárez:" it is two words, separated by a space. In particular, alphabetically it starts with T. My name is long, so it is 100% OK to shorten my name to "Fernando Trejos" for convenience, but it is never correct to say "Fernando Suárez." The LaTeX code for my second surname is Su\'arez.