I am a fifth-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 plan to graduate in May 2027. I am currently on the postdoc job market. 

Before Princeton, I was an undergraduate at Yale. Before moving to the US to attend university, I am extremely fortunate to have grown up in San José, Costa Rica. 

Here is my CV.

Research

• Euler Systems via Eisenstein Classes on Modular Curves (2026) (with Zhengyuan Shang and Christopher Skinner).
  (Draft: PDF).

• On Modified Diagonal Cycles and the Beauville Decomposition of The Ceresa Cycle (2025) (with  Lucas Lagarde,  Mohamed Moakher,  Morena Porzio, and James Rawson).
  To appear in Épijournal de Géométrie Algébrique.
  (arxiv). 

From undergrad:

• 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 Sequences (2020) (with Elżbieta Bołdyriew, John Haviland, Phúc Lâm, John Lentfer, and Steven J.  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. (Click here for some GSS Art)

• 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.