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 |

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 |

Current group members:

- Jerónimo García Mejía (PhD student, since 10/2020)
- Matteo Migliorini (Postdoc, since 10/2023)
- Jannis Weis (PhD student, since 11/2023, co-supervised with Roman Sauer )

- Gabriel Pallier (Postdoc, 10/2022 - 08/2023, now Maître de Conferences at Université de Lille)

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

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

- 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), since April 2021.
- 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.