JProf. Dr. Claudio Llosa Isenrich Institute of Algebra and Geometry (IAG) Faculty of Mathematics Karlsruhe Institute of Technology (KIT) Englerstraße 2 76131 Karlsruhe Germany Office: 1.005 Tel: +49 721 608-43914 Email: claudio.llosa(at)kit.edu

Since October 2020 I am a Juniorprofessor (W1-Professor) in Geometry at the Institute of Algebra and Geometry of the Karlsruhe Institute of Technology (KIT) and the head of a young investigator group in the area of Geometric Group Theory and Complex Geometry.

Current group members:

• Matteo Migliorini (Postdoc, since 10/2023)
• Jannis Weis (PhD student, since 11/2023, co-supervised with Roman Sauer )
• Marco Amelio (Postdoc, since 11/2025, funded by AEI-DFG project and also in Elia Fioravanti's group)

Former group members:

• Jerónimo García Mejía (PhD student, 10/2020 - 09/2024, now Postdoc at University of Oxford)
• Gabriel Pallier (Postdoc, 10/2022 - 08/2023, now Maître de Conferences at Université de Lille)

Research interests

My research interests are in Geometric Group Theory, Complex Geometry and their interactions.

Specific areas of my interest include:

• The study of fundamental groups of compact Kähler manifolds (Kähler groups) using techniques and results from Geometric Group Theory.
  
• Constructions of compact Kähler manifolds with interesting fundamental groups
  
• Filling functions of groups and in particular their Dehn functions
  
• Finiteness properties of groups
  
• Surface groups, limit groups and the nature of residually free groups
  
• Mapping class groups and their rigidity properties
  
• Kodaira fibrations and families of Riemann surfaces
  
• Subgroups of hyperbolic and non-positively curved groups
  
• The large scale geometry of nilpotent groups
  
• Simple groups
  

For more on my research see my preprints and publications and also my CV.

Former institutions

In the past I was based at the following institutions:

• Mar. 2020 -- Sep. 2020: Postdoc at the Faculty of Mathematics of the University of Vienna.
• Oct. 2019 -- Feb. 2020: Postdoc at the Max Planck Institute for Mathematics.
• Oct. 2017 -- Sep. 2019: Postdoc at the Institut de Mathématique d'Orsay of the Université Paris-Saclay (formerly Paris-Sud).
• Oct. 2013 -- Sep. 2017: DPhil in Mathematics at the University of Oxford, supervised by Prof. Martin Bridson.
  
• Oct. 2011 -- Sep. 2013: MSc in Mathematics at the LMU Munich
  
• Oct. 2009 -- Sep. 2011: BSc in Mathematics at the LMU Munich
  

Funding and Awards

• International associate member of the French ANR project Groups in Algebraic Geometry, since Jan. 2025.
• A PI of the AEI-DFG funded project mapping class groups from above and below with researchers from Bilbao, Karlsruhe, Madrid and Münster, since 2024.
• KIT Faculty Prize for Excellent Teaching 2023 in Mathematics for my course "Elementare Geometrie" (€ 10 000, KIT)
• A PI of the RTG 2229, a doctoral school funded by the DFG (German Research Association), Apr. 2021 - Sep. 2025.
• The Austrian Science Fund (FWF), Lise Meitner Postdoctoral fellowship (€ 159 340, University of Vienna, Mar. 2020 -- Feb. 2021, co-applicant/postdoctoral supervisor: Prof. Goulnara Arzhantseva, terminated in Sep. 2020 to take up Junior professorship at the KIT).
• The Fondation Mathématique Jacques Hadamard (University of Paris-Saclay, Oct. 2017 -- Sep. 2019), Postdoctoral fellowship.
  
• The Studienstiftung des deutschen Volkes (University of Oxford, Apr. 2015 -- Mar. 2017), Doctoral fellowship.
  
• The EPSRC (University of Oxford, Oct. 2013 -- Sep. 2017), Doctoral fellowship.
  
• The German Academic Exchange Service (University of Oxford, Apr. 2014 -- Mar. 2015), Doctoral fellowship.
  

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