Geometric and Analytic Group Theory Research Group

Faculty and Postdocs	PhD Students	Visiting Scholars	Masters/Bachelor Theses
Univ. Prof. Goulnara Arzhantseva Merlin Incerti-Medici Markus Steenbock			Stefan Frank (M) Marko Tutic (M)
Local partners Christopher Cashen (TU Wien) Valentina Disarlo (ISTA)
Alumni
Federico Berlai Arindam Biswas Christopher Cashen Alex Evetts Michal Ferov Martin Finn-Sell Swiatoslaw R. Gal François Guéritaud Bernhard Krön (Combinatorics) Claudio Llosa Isenrich Yash Lodha Martino Lupini Alexandre Martin Wolfgang Moens Damian Osajda Liviu Paunescu Thibault Pillon Luis Manuel Rivera Martinez Ján Špakula Adam Timar JiaWen Zhang	Federico Berlai Alexandra Edletzberger Christof Ender Markus Steenbock Dominik Gruber	Matteo Cavaleri Stefania Ebli Michal Ferov Francesco Fournier-Facio Anthony Genevois Jakub Gismatullin Neha Gupta Mark Hagen David Hume Sang-hyun Kim Adrien Le Boudec Eliot Martin MurphyKate Montee Kémo Morvan Liviu Paunescu Eduard Schesler Jing Tao Simone Virili	Lena Birschitzky (M) Valentina Marie Dolin (M) Stefania Ebli (Erasmus, M) Alexandra Edletzberger (M) Georg Ehling (M) Stefan Frank (B) Charlotte Hoffmann (M) Leonhard Katzlinger (B, M) Constantin Mathias (Erasmus) Roger Gomez Ortells (M) Alexander Praehauser (M) Juan Robalino (B) Manuel Urbina Moreano (M) Rudolf Zeidler (M)

Research Seminar

"Geometry and Analysis on Groups" Seminar

Courses

Previous semesters:
"Topics in Algebra: Computational Group Theory" 2024
"Topics in Algebra: Random Walks on Groups" 2023
"Topics in Algebra: Coxeter Groups" 2022
"Random Groups" 2020, 2022
"Topics in Algebra: Cryptography" 2018, 2019, 2024
"Diskrete Mathematik" 2018, 2020, 2022
"Representation Theory of Groups" 2015, 2016, 2017, 2023
"Gruppentheorie" 2014, 2015 , 2016
"Geometric and Asymptotic Group Theory" 2010-2015

Conferences/schools/workshops (co-)organized by the GAGT group

Current/Upcoming

Non-positive curvature and applications, July 7-18, 2025, Cambridge, Uk

Spectral gaps, October 6-10, 2025, Cambridge, UK

Constructions of Expanders and extremal graphs, Series of events sponsored by the OeaD International Cooperation Project, Austria -- Slovakia, Project No. SK 14/2024, 01.07.2024 - 30.06.2026
Workshops:
August 27-28, 2024, Bratislava
November 12-13, 2024, Vienna
Next workshop TBD.

Past

GAGTA 2023 July 17-21, ESI, Vienna, Austria
36th Summer Topology Conference, July 18 – 22, 2022, University of Vienna, Vienna, Austria
Group Actions and Cohomology in Non-Positive Curvature, June 19 – 23, 2017, INI, Cambridge, UK
Geometry and Randomness in Group Theory, May 15 – 26, 2017, IAS, Princeton, USA
Approximation, deformation, quasification, May 08 – 12, 2017, INI, Cambridge, UK
Young Geometric Group Theory Meeting VI, March 20 – 24, 2017, Mathematical Institute, Oxford, UK
Non-Positive Curvature in Action, January 09 – 13, 2017, INI, Cambridge, UK
Non-Positive Curvature Group Actions and Cohomology, January 03 – June 23, 2017, INI, Cambridge, UK
Amenability, coarse embeddability and fixed point properties, December 06 – 09, 2016, MSRI, Berkeley, USA
Boundaries of groups and representations, 22-24 February 2016, University of Vienna, Vienna, Austria
Measured Group Theory, 18 January - 18 March 2016, ESI, Vienna, Austria (homepage)
Geometry of computation in groups , 31 March - 13 April 2014, ESI, Vienna, Austria
3rd Young Geometric Group Theory Meeting, 20-24 January 2014, CIRM, Luminy, France
ESI Anniversary
LaWiNe research group
Word maps and stability of representations
Infinite monster groups, ESI program / workshop, December 12 - 21, 2011, Vienna, Austria
Geometric Group Theory, Bedlewo, Poland
Finite dimensional approximations of discrete groups, 2011, Oberwolfach, Germany.

Openings

Awards

2024-2026 ÖAD bilateral cooperation grant Austria-Slovakia of Goulnara Arzhantseva.
2024 ESI Research in Teams project of Markus Steenbock.
2024 ESI Junior Research Fellowship of Eduard Schesler.
2023 Alexandra Edletzberger's work was featured in ORF Science. (article)
2023 ESI Research in Teams project of Christopher Cashen.
2023-2026 Austrian Science Fund (FWF): ESP 124 grant of Merlin Incerti-Medici.
2021-2027 Austrian Science Fund (FWF): Y 1411 START-Prize of Yash Lodha. (press release)
2021-2025 Austrian Science Fund (FWF): P 35079 grant of Markus Steenbock.
2021-2024 Austrian Science Fund (FWF): P 34214 grant of Christopher Cashen.
2020-2021 ESI Junior Research Fellowship of Alex Evetts.
2020-2022 Austrian Science Fund (FWF): M 2933, Lise Meitner Fellowship of Anthony Genevois.
2020-2022 Austrian Science Fund (FWF): M 2811, Lise Meitner Fellowship of Claudio Llosa Isenrich.
2019 Ernst Mach Fellowship of Suraj Krishna MS.
2019 ESI Junior Research Fellowship of Arindam Biswas.
2019-2021 Austrian Science Fund (FWF): J-4270, Erwin Schrödinger Fellowship of Markus Steenbock.
2018-2021 Austrian Science Fund (FWF): J-4194, Erwin Schrödinger Fellowship of Federico Berlai.
2018 ESI Junior Research Fellowship of Matteo Cavaleri.
2018 Ernst Mach Fellowship of Anthony Genevois.
2018-2019 Ernst Mach Fellowship of Matteo Cavaleri.
2017-2021 Austrian Science Fund (FWF): P 30842 grant of Wolfgang Moens.
2017-2020 Austrian Science Fund (FWF): P 30487 grant of Christopher Cashen.
2016 Doc.Award of the University of Vienna and the City of Vienna of Markus Steenbock (outstanding Doctoral dissertation).
2016 Erwin Wenzl Prize of Dominik Gruber.
2016 Student Prize of the Austrian Mathematical Society of Dominik Gruber.
2016 "Promotio sub auspiciis praesidentis rei publicae" of Dominik Gruber. (press release)
2015 Doc.Award of the University of Vienna and the City of Vienna of Dominik Gruber (outstanding Doctoral dissertation).
2015 University of Vienna Finishing Grant (Abschlussstipendium der Universität Wien) of Dominik Gruber.
2015-2017 Austrian Science Fund (FWF): M 1810, Lise Meitner Fellowship of Alexandre Martin.
2014-2016 Austrian Science Fund (FWF): M 1717, Lise Meitner Fellowship of Christopher Cashen.
2014-2015 ÖAD Bilaterales Wissenschaftlich-Technisches Abkommen grant of Goulnara Arzhantseva.
2013-2015 DOC Fellowship 24024 of the Austrian Academy of Sciences of Markus Steenbock.
2013 Würdigungspreis of the Federal Ministry for Science and Research of Rudolph Zeidler (outstanding Master's thesis).
2013 University of Vienna Research Grant (Forschungstipendium der Universität Wien) of Markus Steenbock.
2013-2016 Austrian Science Fund (FWF): J-3371, Erwin Schrödinger Fellowship of Wolfgang Moens.
2011-2016 European Research Council (ERC) grant of Goulnara Arzhantseva, "ANALYTIC" grant agreement n°259527.
2011-2013 Swiss SNF Sinergia grant of Goulnara Arzhantseva.

Support