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Pilar Bayer Isant (born 1946) is a Spanish mathematician specializing in
Pilar Bayer Isant (born 1946) is a Spanish mathematician specializing in number theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777â ...
. She is a professor emerita in the Faculty of Mathematics and Computer Science of the University of Barcelona
The University of Barcelona ( ca, Universitat de Barcelona, UB; ; es, link=no, Universidad de Barcelona) is a public university located in the city of Barcelona, Catalonia, in Spain. With 63,000 students, it is one of the biggest universities i ...
.
Education and career
Bayer was born in Barcelona on February 13, 1946. Before becoming a mathematician, she was certified as a piano teacher by the Municipal Conservatory of Barcelona in 1967. She graduated from the University of Barcelona in 1968, and completed her Ph.D. there in 1975. Her dissertation, ''Extensiones maximales de un cuerpo global en las que un divisor primo descompone completamente'', was jointly supervised by Rafael Mallol Balmaña andJürgen Neukirch
Jürgen Neukirch (24 July 1937 – 5 February 1997) was a German mathematician known for his work on algebraic number theory.
Education and career
Neukirch received his diploma in mathematics in 1964 from the University of Bonn. For his Ph.D. t ...
. She was one of the first two women to earn a Ph.D. from the university; the other was her high school teacher.
She was an assistant at Universität Regensburg
The University of Regensburg (german: link=no, Universität Regensburg) is a public research university located in the medieval city of Regensburg, Bavaria, a city that is listed as a UNESCO World Heritage Site. The university was founded on 18 ...
from 1977 to 1980.
After briefly working for the University of Santander
The University of Santander (UDES) is a private research university, approved by the Colombian government through the Ministry of Education, according to legal status 810 1996; organized under the provisions of Act 30 of 1992. This university has ...
and Autonomous University of Barcelona, she joined the faculty at the University of Barcelona in 1982. She retired in 2016.
Contributions
With Montserrat Alsina, Bayer is the author of the book ''Quaternion Orders, Quadratic Forms, and Shimura Curves'' (American Mathematical Society, 2004). As well as quaternion algebras,Eichler order In mathematics, an Eichler order, named after Martin Eichler, is an order of a quaternion algebra
In mathematics, a quaternion algebra over a field ''F'' is a central simple algebra ''A'' over ''F''See Milies & Sehgal, An introduction to group ...
s, quadratic form
In mathematics, a quadratic form is a polynomial with terms all of degree two ("form" is another name for a homogeneous polynomial). For example,
:4x^2 + 2xy - 3y^2
is a quadratic form in the variables and . The coefficients usually belong to a ...
s, and Shimura curve In number theory, a Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient algebraic variety, variety of a Hermitian symmetric space by a congruence subgroup of a reductive group, reductive algebraic group defi ...
s (the subject of the book), other topics in her research include automorphic form
In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group ''G'' to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G of ...
s, diophantine equation
In mathematics, a Diophantine equation is an equation, typically a polynomial equation in two or more unknowns with integer coefficients, such that the only solutions of interest are the integer ones. A linear Diophantine equation equates to a c ...
s, elliptic curve
In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point . An elliptic curve is defined over a field and describes points in , the Cartesian product of with itself. If ...
s, modular curves, and zeta function
In mathematics, a zeta function is (usually) a function analogous to the original example, the Riemann zeta function
: \zeta(s) = \sum_^\infty \frac 1 .
Zeta functions include:
* Airy zeta function, related to the zeros of the Airy function
* A ...
s.
Beyond number theory, with Jordi GuĂ rdia and Artur Travesa she is the author of ''Arrels germĂ niques de la matemĂ tica contemporĂ nia: amb una antologia de textos matemĂ tics de 1850 a 1950'' (Institut d'Estudis Catalans, 2012), on the history of mathematics in Germany from the mid-19th century to the mid-20th century. In total she is an author or editor of 19 books.
Recognition
Bayer won the NarcĂs Monturiol Medal of the Generalitat de Catalunya in 1998. Her book ''Arrels germĂ niques de la matemĂ tica contemporĂ nia: amb una antologia de textos matemĂ tics de 1850 a 1950'' won theSerra d'Or
''Serra d'Or'' () is a Catalan magazine that appeared in October 1959. It was promoted by a group of university students, and was published by the Montserrat abbey press, with a monthly circulation of 8.000 copies.
Origins
The origins of the magaz ...
Critic's Prize in 2013.
She was Emmy Noether Visiting Professor at the University of Göttingen
The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...
in 2004.
She is an academician of the Spanish Royal Academy of Sciences, the , the Royal Academy of Sciences and Arts of Barcelona, and the Institute for Catalan Studies
The Institute for Catalan Studies ( ca, Institut d'Estudis Catalans, ), also known by the acronym IEC, is an academic institution which seeks to undertake research and study into "all elements of Catalan culture". It is based in Barcelona, Catalon ...
.
In honor of her 70th birthday, the University of Barcelona published a two-volume edition of her selected works in 2016.
References
{{DEFAULTSORT:Bayer, Pilar Living people 20th-century Spanish mathematicians Women mathematicians University of Barcelona alumni Academic staff of the University of Barcelona Number theorists Historians of mathematics 1946 births 21st-century Spanish mathematicians