Adrian Barquero-Sanchez
Associate Professor
Escuela de Matemática
Universidad de Costa Rica
San José 11501
Costa Rica
email: adrian.barquero_s@ucr.ac.cr
Office: 327 Edificio Anexo de Matemática (Ciudad de la Investigación)
Education:
B.S. in Mathematics, Universidad de Costa Rica (2011)
Ph.D. in Mathematics, Texas A&M University (2016)
Research Interests: I work in number theory. Some of the problems I've worked on relate to automorphic forms, special values of L-functions, elliptic curves, Faltings heights of abelian varieties, algebraic number theory, the distribution of number fields and the theory of complex multiplication.
Publications and preprints
The asymptotic distribution of Andrews' smallest parts function (with Josiah Banks, Riad Masri and Yan Sheng). Archiv der Mathematik (Basel) 105 (2015) no. 6, 539–555. (pdf) (journal version)
The Chowla-Selberg formula for abelian CM fields and Faltings heights (with Riad Masri). Compositio Mathematica 152 (2016) no. 3, 445–476. (pdf) (journal version)
Faltings heights of CM elliptic curves and special gamma values (with Lindsay Cadwallader, Olivia Cannon, Tyler Genao and Riad Masri). Research in Number Theory 3 (2017), Art. 13, 16 pp. (pdf) (journal version)
On the Colmez conjecture for non-abelian CM fields (with Riad Masri). Research in the Mathematical Sciences 5 (2018), no. 1 Paper No. 10, 41 pp. (arxiv) (journal version)
Theta series and number fields: theorems and experiments (with Guillermo Mantilla-Soler and Nathan C. Ryan). The Ramanujan Journal 56, pages 613–630 (2021) (arxiv) (journal version)
Stark units and special Gamma values (with Riad Masri and Wei-Lun Tsai). Research in Number Theory 7, 38 (2021). (journal version)
The distribution of G-Weyl CM fields and the Colmez conjecture (with Riad Masri and Frank Thorne). Research in the Mathematical Sciences 10, 25 (2023). (journal) (arxiv)
Efficient computation of the overpartition function and applications (with Gabriel Collado-Valverde, Nathan C. Ryan, Eduardo Salas-Jimenez, Nicolás Sirolli and Jean Carlos Villegas-Morales). Journal of Mathematical Analysis and Applications 528 (2023), Issue 1, 127472. (arxiv) (journal version)
On the embedding of Galois groups into wreath products (with Jimmy Calvo-Monge). submitted (arxiv)
Explicit evaluations of Faltings heights of CM abelian varieties (with Riad Masri and Wei-Lun Tsai). in preparation