Postdoctoral Position in Mathematics Zeros in Families of L-functions

Chalmers University of Technology is delighted to offer a PhD position in mathematical physics. The funds for this fellowship are available for three years. Potential candidates should apply before May 30, 2020.

The Department of Mathematical Sciences at Chalmers University of Technology and the University of Gothenburg has about 200 employees, and is the largest department of mathematics (latest mathematics scholarship positions) in Sweden. The department has three scientific divisions, Algebra and Geometry, Analysis and Probability Theory, and Applied Mathematics and Statistics, and successful research in pure and applied mathematics (applied mathematics scholarships) and mathematical statistics in a wide range of research areas is conducted. We are located in a modern building at the center of the Chalmers campus. Our department continuously strives to be an attractive employer. Equality and diversity are substantial foundations in all our activities. We work actively to be a parent-friendly organization.

At the division of Algebra and Geometry we conduct research in areas such as algebraic and complex geometry, various aspects of number theory, algebra (fully funded algebra scholarships) and representation theory, complex analysis, and mathematical physics. This includes analytic number theory and in particular the analytical theory of L-functions. We are looking for one post doctor in mathematics to work on the following project together with associate professor (professor scholarships) (docent) Anders Sdergren at the division of Algebra and Geometry.

The main goal of this project is a detailed investigation of several fundamental problems in analytic number theory. The focus is on low-lying zeros in families of L-functions and on verifying various aspects of the influential Katz-Sarnak heuristic that relates the distribution of low-lying zeros in families of L-functions to the distribution of eigenvalues close to 1 in compact matrix groups. An additional goal is to investigate questions related to the non-vanishing at the central point in families of L-functions of arithmetic interest.

Outstanding applications from all mathematical research areas will be considered. Precedence will however be given to those who have a research profile compatible with the project description.

You will work in the research area of low-lying zeros in families of L-functions and related areas. Of particular interest are various families of automorphic L-functions and geometric families of Artin L-functions. You are expected to contribute by developing new ideas both independently and in collaborations. You should be highly motivated and independent. Your ability to collaborate and communicate will be taken into account in the assessment.

Teaching, possibly including supervision of students' independent work, may be part of your duties up to an extent of 20 %. Our teaching languages are English and Swedish. As most of our teaching is in Swedish, the options will vary according to your language skills. Chalmers University of Technology offers courses in the Swedish language.

To qualify for the position, you should have completed a PhD degree in mathematics or equivalent, by the application deadline. The degree should generally not be older than three years at the time of the application deadline. Exceptions may be made for special reasons, for instance parental leave or military service. Fluency in English is required.

The assessment of your application will be based mainly on your scientific skills. You are expected to provide evidence of excellence in research. The applications will be assessed by a local recruitment committee at the Department of Mathematical Sciences.

Experience in some of the following areas is meritorious: analytic number theory, arithmetic statistics, the analytic theory of L-functions and statistics (of some form) in families of L-functions.

The application should be marked with Ref 20200225 and written in English. The application should be sent electronically and be attached as pdf-files, as below:

  • Chalmers declines to consider all offers of further announcement publishing or other types of support for the recruiting process in connection with this position. ***

Chalmers University of Technology conducts research and education in engineering sciences, architecture, technology-related mathematical sciences, natural and nautical sciences, working in close collaboration with industry and society. The strategy for scientific excellence focuses on our six Areas of Advance; Energy, Health Engineering, Information and Communication Technology, Materials Science, Production and Transport. The aim is to make an active contribution to a sustainable future using the basic sciences as a foundation and innovation and entrepreneurship as the central driving forces. Chalmers has around 11,000 students and 3,000 employees. New knowledge and improved technology have characterised Chalmers since its foundation in 1829, completely in accordance with the will of William Chalmers and his motto: Avancez!

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