Anna Somoza
PhD in Mathematics

About me

My research interests are in algorithmic number theory and arithmetic geometry, and I am currently working on the construction of superelliptic curves.

I completed my PhD at UPC (Barcelona) and Universiteit Leiden in March 2019. Since then, I've done postdocs at the MPIM (Bonn, Germany), Universitat de Barcelona (Spain) and Université de Rennes 1 (France).



  • The Inverse Jacobian problem, IRMAR, Université de Rennes 1, Rennes (France), March 2020
  • Reduction type of genus-3 curves in special strata of their moduli space, STNB 2020, Barcelona (Spain), February 2020
  • The Inverse Jacobian problem for certain superelliptic curves, University of Vermont, Burlington, VT (USA), December 2019
  • The Inverse Jacobian problem, Utrecht Geometry Center Seminar, Utrecht (Netherlands), November 2019
  • Inverse Jacobian problem for cyclic plane quintic curves, SIAM Conference on Applied Algebraic Geometry, Bern (Switzerland), July 2019
  • Reconstruction of cyclic plane quintic curves, Linfoot seminar, Bristol (UK), May 2018
  • From the difference of permutation polynomials to the construction of algebraic curves with Complex Multiplication (Invited talk), Workshop on Finite Fields, Function Fields and Their Applications, Istanbul (Turkey), April 2018
  • Reconstruction of cyclic plane quintic curves (Invited talk), Workshop on Numerical methods for algebraic curves, Rennes (France), February 2018
  • Construction of Picard curves, IV Congreso de Jóvenes Investigadores de la RSME, Valencia (Spain), September 2017
  • Construction of Picard curves, Workshop on curves of low genus, Barcelona (Spain), July 2017
  • Construction of Picard curves with complex multiplication, Meeting of the Catalan, Spanish, Swedish Math Societies, Umeå (Sweden), June 2017
  • Construction of Picard curves, Algebra and Number Theory Seminar, Universiteit Leiden (Netherlands), June 2017
  • Construction of Picard curves with complex multiplication, DIAMANT Symposium Spring 2017, Breukelen (Netherlands), June 2017
  • On permutation polynomials, with Vandita Patel, Women in Numbers Europe - 2, Lorentz Center, Leiden (Netherlands), September 2016
  • Arithmetic on CM Picard curves, STNB 2016, Universitat de Barcelona (Spain), January 2016