Applications are invited for a PhD fellowship/scholarship at Graduate School of Natural Sciences, Aarhus University, Denmark, within the Mathematics programme. The position is available from August 2025 or later.
Title:
Effective Testing in Complex Geometry
Research area and project description:
The PhD position is within the area of complex geometry. The research will be oriented toward a unifying class of geometric partial differential equations capturing many equations of interest in mathematics and physics (related to e.g. generalized Monge-Ampère equations, J-equation, constant scalar curvature metrics, and Kähler-Einstein metrics). The key focus will be to reinvent abstract solvability criteria from analytic and algebraic geometry - taking the leap from an infinite number of conditions, impossible to test in practice, to a finite number of explicit conditions (that can be programmed into a computer; some interest in combining geometry/pure mathematics with computer-aided investigation is therefore a plus). This may contribute to a new understanding of several currently open problems in the field of Kähler geometry.
The successful candidate will be a member of the Villum-funded project "Effective Testing in Complex Geometry" and will benefit from being part of a very active complex geometry group at Aarhus University.
For technical reasons, you must upload a project description. When - as here - you apply for a specific project, please simply copy the project description above, and upload it as a PDF in the application. If you wish to, you can indicate an URL where further information can be found.
Qualifications and specific competences:
Applicants must have a relevant Master’s degree or at least one year of a Master’s degree in Mathematics, Theoretical Physics, or Computer Science.
Place of employment and place of work:
The place of employment is Aarhus University, and the place of work is Institut for Matematik - Aarhus Universitet, Ny Munkegade 118, 8000 Aarhus C, Denmark.
Contacts:
Applicants seeking further information for this project are invited to contact:
Professor Cristiano Spotti, c.spotti@math.au.dk
Tenure Track Assistant Professor Zakarias Sjöström Dyrefelt, dyrefelt@math.au.dk
How to apply:
For information about application requirements and mandatory attachments, please see the Application guide. Please read the Application guide thoroughly before applying.
When ready to apply, go to https://phd.nat.au.dk/for-applicants/apply-here/ (Note, the online application system opens 1 March 2025)
Please note:
At the Faculty of Natural Science at Aarhus University, we strive to support our scientific staff in their career development. We focus on competency development and career clarification and want to make your opportunities transparent. On our website, you can find information on all types of scientific positions, as well as the entry criteria we use when assessing candidates. You can also read more about how we can assist you in your career planning and development.
Aarhus University’s ambition is to be an attractive and inspiring workplace for all and to foster a culture in which each individual has opportunities to thrive, achieve and develop. We view equality and diversity as assets, and we welcome all applicants. All interested candidates are encouraged to apply, regardless of their personal background.
