Doctoral student in number theory or harmonic analysis

We are looking for one Doctoral student at the divison of Algebra and Geometry. The research project will be at the interface of number theory and harmonic analysis and will be conducted within the research group of Simon Rydin Myerson.

About us

The Department of Mathematical Sciences at the Chalmers University of Technology and the University of Gothenburg has about 200 employees and is the largest department of mathematics in Sweden. We have an international environment with frequent exchanges with other universities around the world. We provide a friendly, creative, and supportive atmosphere with a steady flow of international guests. 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 geometry, complex geometry, number theory, mathematical physics and the mathematics of AI.

About the research project 

Many open questions in number theory, such as the Manin-Peyre conjecture, concern Diophantine equations. Even certain questions in harmonic analysis and PDE can be understood as Diophantine problems.

This project will use analytic techniques to study problems concerning polynomials in (algebraic or rational) integers. An extension oralternative is to use these Diophantine techniques to tackle problems in harmonic analysis or PDE, especially spectral multiplier estimates on compact manifolds and nilmanifolds.

The doctoral student could establish existence of solutions using modern forms of the Birch-Davenport circle method, or prove upper bounds using the sieve or determinant methods. Systems of equations with differing degrees, and cubic equations in three integer variables, are current frontiers in this area.

As a Doctoral student you will be part of an international research environment while you expand your knowledge of the field and write your thesis. This gives opportunities for many inspiring conversations, a lot of autonomous work and some travel. You are expected to develop your own ideas and communicate scientific results orally as well as in written form. In addition, the position will normally include 20% departmental work, mostly teaching duties

Who we are looking for

• Theproject requiresknowledge in either number theory, harmonic analysis, or algebraic geometry. It is advantageous to have knowledge in all of these fields.

*for students with an education earned outside of Sweden, a 4-year Bachelor’s degree is accepted.

What you will do

• Take courses at an advanced level within the Graduate school of mathematics .
• Develop your own scientific concepts and communicate the results of your research verbally and in writing.
• The position generally also includes teaching on Chalmers' undergraduate level or performing other duties corresponding to 20 percent of working hours.

Name:Simon Myerson, Project leader
Email: [emailprotected]

We look forward to your application!

*** 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 in Gothenburg conducts research and education in technology and natural sciences at a high international level. The university has 3100 employees and 10,000 students, and offers education in engineering, science, shipping and architecture. With scientific excellence as a basis, Chalmers promotes knowledge and technical solutions for a sustainable world. Through global commitment and entrepreneurship, we foster an innovative spirit, in close collaboration with wider society.
Chalmers was founded in 1829 and has the same motto today as it did then: Avancez – forward.