Anna Somoza - Personal website

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).

Get complete CV

(updated September 2022)

PhD thesis

Find me on Github

Publications

An inverse Jacobian algorithm for Picard curves, with J.C. Lario, appendix by C. Vincent, Res. number theory 7, 32 (2021).
Reduction type of genus-3 curves in a special stratum of their moduli space, with with I. Bouw, N. Coppola, P. Kılıçer, S. Kunzweiler and E. Lorenzo García. In Women in Numbers Europe III, edited by A.C. Cojocaru, S. Ionica and E. Lorenzo-García, Association for Women in Mathematics Series, vol. 24. Springer International Publishing.
On the carlitz rank of permutation polynomials over finite fields: Recent developments., with N. Anbar, A. Oduzak, V. Patel, L. Quoos and A. Topuzoğlu. In Women in Numbers Europe II: Contributions to Number Theory and Arithmetic Geometry, edited by I. Bouw, R. Newton and E. Özman, Association for Women in Mathematics Series, Springer International Publishing.
On the difference between permutation polynomials over finite fields, with N. Anbar, A. Oduzak, V. Patel, L. Quoos and A. Topuzoğlu, Finite Fields and Their Applications, 49, pp. 132 - 142, 2018.
The Sato-Tate conjecture for a Picard curve with complex multiplication, with J.C. Lario, Number Theory Related to Modular Curves, Momose Memorial Volume, pp. 151 - 166, AMS Contemporary Mathematics.

Talks

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