Adrian Barquero-Sanchez

Assistant 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)

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

  1. 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)
  2. 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)
  3. 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)
  4. 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)
  5. Faltings heights of CM abelian surfaces and special Gamma values (with Riad Masri). submitted (pdf)
  6. The distribution of G-Weyl CM fields and the Colmez conjecture (with Riad Masri and Frank Thorne). submitted (pdf) (arxiv)
  7. Stark units and special Gamma values (with Riad Masri and Wei-Lun Tsai). submitted
  8. Faltings heights and a non-abelian Chowla-Selberg formula for CM abelian varieties (with Riad Masri and Wei-Lun Tsai). in preparation