瑞典哥德堡大学**博士后**职位—数学

**One Postdoctor In Mathematics**

**Göteborg University**

Description

The postdoctoral project is on “Matrix degenerate elliptic equations and singular integrals” and is funded by the Knut and Alice Wallenberg foundation. To start with, the aim is to prove boundedness of the holomorphic functional calculus for boundary operators associated with elliptic equations, which are not degenerate only in the size of the coefficients, but anisotropically degenerate in the sense that the coefficient matrices are assumed only to have a matrix Muckenhoupt weight as real part. These boundary operators are closely related to singular integral operators, and the hope is to also prove local Tb theorems for matrix weighted singular integral operators, within the project.

The project is a natural continuation of a long and successful line of research in

harmonic analysis and partial differential equations. Starting from the Coifman-McIntosh-Meyer theorem on the boundedness of the Cauchy singular integral on Lipschitz curves from 1982, the history goes via T1 and Tb theorem for singular integrals and the development of wavelet theory during the 1980s, the resolution of the Kato square root problem by Auscher et al. in 2002, and continues with extensions of these techniques and applications to boundary value problems for elliptic systems by Auscher, Hofmann, McIntosh, Rosén et al. in more recent years.

Experience of the harmonic analysis technology surrounding Tb theorems for singular integrals and/or the Kato square root estimate/boundedness of holomorphic functional calculi, is a main qualification for the position. Skills related to the theory of Muckenhoupt weights are also relevant.

**Job assignments**

You will conduct research in the group of Professor Andreas Rosén. You are expected to independently develop new ideas in this collaboration.

If the candidate is interested, at most 10% of the time can be spent on teaching and supervision

**Eligibility**

The qualifications for academic positions are given in Chapter 4, Section 3 – 4 of the Higher Education Ordinance.

To qualify for the position, you should have completed (or had your defense for) a Ph.D. 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.

**Assessment**

Regulations for the evaluation of qualifications for academic positions are given in Chapter 4, Section 3 – 4 of the Higher Education Ordinance.

The assessment of your application will be based mainly on your scientific skills, and in particular skills relevant to the project as described above. You are expected to provide evidence of excellence in research. On the personal level you should be highly motivated and independent. Your ability to collaborate and communicate will be considered in the assessment. Fluency in English is expected.

**Employment**

Type of employment: Fixed-term employment, 2 years Extent: 100 % Location: Division of Analysis and Probability Theory, Department of Mathematical Sciences, University of Gothenburg First day of employment: As agreed

**Application procedure**

Submit the following documents:

Personal letter,

CV, including a complete list of publications and conference talks,

Research statement (maximum two pages), accounting for your previous experience and future plans,

Contact details for two reference persons,

Attested copies of completed education, grades and other certificates,

Copies of at most five publications.

**For further information:**

Professor Andreas Rosén, andreas.rosen@chalmers.se, +46 31 772 5365, https:// www. math.chalmers.se/~rosenan/

Deputy Head of Division of Analysis and Probability Theory, Professor Hjalmar Rosengren, hjalmar@chalmers.se, +46 31 772 5358

**Closing date** : 2021-10-01