PostDoctoral researcher in Geometry in Lausanne

Mission

Hyperbolic groups are central objects in Geometric Group Theory. Anosov representations of these groups are thought to be linear versions of these groups: many objects naturally associated with hyperbolic groups have a linear avatar in the presence of an Anosov representation.

Mission

Hyperbolic groups are central objects in Geometric Group Theory. Anosov representations of these groups are thought to be linear versions of these groups: many objects naturally associated with hyperbolic groups have a linear avatar in the presence of an Anosov representation.

For instance, the boundary at infinity of a hyperbolic group naturally embeds as a subset of a flag manifold for an Anosov representation.

The AnSur project aims to study the global geometry of the space of deformations of Anosov representations, with a strong emphasis on positive ones and their relation with Geometric Analysis. Our goal is to use various techniques from geometric PDE to combinatorics in that study. Notably, we wish to study how asymptotic data, such as the limit set in the flag manifold, interact with solutions of PDEs of geometric origin, for instance, those of Higgs bundle origin.

Main Duties And Responsibilities

• Work closely with members of the department working in related areas,
• Collaborate with other postdocs and supervise students if needed,
• Contribute to teaching related to the project (especially if interested in an academic career)
• Co-organise seminars, lectures and conferences with the PI of the project

Profile

• Highly motivated with proven scientific excellence in related areas to surface group representations, geodesic currents, or Geometric Analysis
• A strong publication record

We offer

• A stimulating and international working environment
• Competitive salary and excellent working conditions – more information can be found on our website
• The AnSur project is connected to international research and we offer the opportunity to travel and invite researchers in the field.
• The contract is fixed for one year initially, renewable up to two years. However, the project finishes in March 2029.

For inquiries regarding the research aspects of the position, contact Prof. François LABOURIE -

the contract starting date could be from to

Duration is 1 year and up to 2 years depending on the start date.

Contract Start Date : 01/01/2027

Activity Rate : 100.00

Contract Type: CDD

Duration: 1 year, renewable up to two years

Reference: 2416

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