# Pilar Bayer

### Biosketch

I am currently Professor of the Department of Algebra and Geometry of the Faculty of Mathematics at the University of Barcelona. I graduated in mathematics at the University of Barcelona in 1968 and obtained my doctorate in mathematics at the same university in 1975. Previously, in 1967, I qualified as a piano teacher at the Municipal Conservatory of Music of Barcelona. My research field is number theory. I have supervised 14 PhD theses and numerous research projects. I have given lectures and seminars at universities and research centres in Germany, Austria, Spain, France, Greece, Poland, Russia and Tunisia.

**Current and previous positions**

I have been a lecturer at the University of Barcelona (1968-1975), Autonomous University of Barcelona (1969-1977; 1981-1982), Regensburg Universität (Germany, 1977-1980) and University of Santander (1980-1981). Since 1982, I am full professor of Algebra at the University of Barcelona.

**Prizes, awards, honors, distinctions**

In 1998 I was awarded the Narcís Monturiol Medal for scientific and technological achievement by the Catalan government. In 2004 I was named Emmy-Noether-Professorin by the Georg-August-Universität Göttingen, Germany. In 2015 I have been awarded the Honor Medal of the The Vives Network.

**Main scientific achievements**

My publications focus on zeta functions, diophantine equations, automorphic forms, Galois theory, elliptic curves, modular curves and Shimura curves.

### Research lines

- Number theory

### Selected publications

- Bayer, P.; Remón, D.: A reduction point algorithm for cocompact Fuchsian groups and applications. Adv. Math. Commun. 8 (2014), 223-239.
- Bayer, P.: Computational Aspects of Artin L-functions. Contemporary Mathematics 566 (2012), 3-20.
- Bayer, P.: Jean-Pierre Serre: An Overwiew on his Work. The Abel Prize. The first five years: 2003-2007. Springer, H. Holden; R. Piene (eds.). p. 27-84. NY (2010). ISBN: 978-3-642-01372-0.
- Bayer, P.; Travesa, A.: Uniformizing functions for certain Shimura curves, in the case D = 6. Acta Arithmetica 126 (2007), 315-339.
- Bayer, P.; Guàrdia, J.: On equations defining fake elliptic curves. Journal de Théorie des Nombres de Bordeaux 17, no 1, (2005), 57-67.