I'm a Professor of Mathematics at the University of Cologne
University of Cologne
schroll at math dot uni-koeln dot de
Since August 2020, I'm also a Professor 2 at NTNU in Trondheim, here is a link to my webpage at NTNU.
The focus of my research is on the representation theory of finite dimensional algebras. In particular, I'm interested in cohomology theories, homological algebra, and connections of representation theory with other areas of mathematics.
This semester I'm on study leave.
NEW New project C7 'Algebras from Fukaya and Quantum Field Theories' as part of the SFB/TRR 191 'Symplectic Structures in Geometry, Algebra and Dynamics'.
I'm an editorial board member of
Special Issues edited:
Special Issue in Honour of Joseph Kung, Advances in Applied Mathematics
Proceedings of the LMS Algebra Autum School 2021, LMS Lecture Notes.
Proceedings of the LMS Midlands Regional Meeting 2018, Springer Proceedings.
New Proceedings of the LMS Autumn Algebra School
Current postdocs and PhD students
Dr Lang Mou (postdoc 2023-2024)
Dr Severin Barmeier (postdoc 2021 - 2023)
Dr Haibo Jin (postdoc 2021-2023)
Dr Aran Tattar (postdoc 2022-2023)
Max Kaipel (PhD startet in 2022)
Dr Jose Vivero (postdoc 2022)
Dr Karin Jacobsen (project IDUN 2020-2022)
Dr Yadira Valdivieso-Diaz (Royal Society Newton Fellow and Marie Curie Fellow 2019-2022, now at Puebla, Mexico)
Dr Hipolito Treffinger (postdoc 2017-2020, now postdoc at Paris)
Dr Ilke Canakci (postdoc 2013-2015, now assistant professor at VU Amsterdam)
Johanne Haugland (project IDUN 2020-2022)
Harvard Terland (2022, PhD NTNU, Norway)
Yiyu Li (2022-2023, PhD Sichuan, China)
Former PhD students:
Nick Williams (PhD completed in 2022, now postdoc at Lancaster, UK)
Aran Tattar (PhD completed in 2022, now postdoc at Cologne, Germany)
Drew Duffield (PhD completed in 2017, now postdoc at Durham, UK)
Alex Sierra (PhD completed in 2017, now at Universidade Federal do Pará -UFPA, Brazil)
Conferences and workshops I'm organising:
Flashtalks in Representation Theory IV, 5 January 2024, Trondheim, Norway.
τ-Research School, 5-8 September 2023, Cologne, Germany.
Combinatorial Aspects of Representation Theory, Institute for Advanced Studies, 27-31 March 2023, Oslo, Norway.
Crossroads of geometry, representation theory and higher structures, CIMPA Research School, 13-24 March 2023, Puerto Madryn, Argentina.
ARTIG, Algebras and Representation Theory in Germany Meeting, 27-28 January 2023, Cologne, Germany.
Flashtalks in Representation Theory III, 6 January 2023, Trondheim, Norway.
Quivers, representation theory and physics, 7-9 September 2022, Cologne, Germany.
Flashtalks in Representation Theory II, 4 January 2022, Trondheim, Trondheim, Norway.
Summer Research School: Topological Fukaya categories of surfaces with stops via gentle algebras, 25-27 August 2021, Cologne - online.
Cluster Algebras and Representation Theory, Semester-Programme at the Isaac Newton Institute, Sept-Dec 2021, Cambridge, UK.
Hochschild (Co)homology in Algebra, Geometry and Topology - in honour of Andrea Solotar, 14-18 June 2021, Mittag-Leffler Institute, Stockholm, Sweden - cancelled.
Flashtalks in Representation Theory I, 8 January 2021, Trondheim , Norway.
LMS Autumn Algebra School 2020 online 21-25 September 2020 and 5-9 October 2020 organised by David Jordan (Edinburgh), Nadia Mazza (Lancaster) and Sibylle Schroll (Leicester) with support from ICMS. Recordings of all talks are here.
Hochschild cohomology as a Lie algebra, workshop, 1-4 September 2020, Leicester. Postponed due to COVID.
Interactions between Representation Theory and Homological Mirror Symmetry, 7-10 May 2019, Leicester, UK.
LMS Regional Meeting and workshop, Galois covers, Grothendieck-Teichmüller theory and dessins d'enfants, 4-7 June 2018, Leicester, UK.
EMSG East Midlands Seminar in Geometry, 14 December 2017, Leicester, UK.
LMS/CMI research school: "New trends in representation theory: the impact of cluster theory on representation theory" 19-23 June 2017 at the University of Leicester, UK.
Special 63rd BLOC Meeting: Oxford, 17-18 October 2013. This meeting is on the occasion of Karin Erdmann's 65th birthday.
62th BLOC/REPNET meeting, 10 July 2013, Leicester, UK.
Workshop on geometry, representation theory and clusters, 21-23 June 2012, Leicester, UK.
50th BLOC/REPNET meeting, 9-10 September 2010, Leicester, UK.
46th BLO/REPNET meeting, 1-2 July 2009, Leicester, UK.
Upcoming and recent talks I have given:
FPSAC 17-21 July 2023, UC Davis, USA.
ARTA, September 2022, Torun, Poland.
Geometric and Combinatorial Methods in Homological Algebra, 20-22 July 2022, Aarhus, Danemark.
Colloquium Talk, April 2022, Montreal, Canada, Online.
Colloquium Talk, April 2022, Syracuse, USA, Online.
A conference in celebration of the work of Bill Crawley-Boevey, 1-10 September 2021, Online.
Braids, mutations and twists in algebra and geometry, 31 May-4 June 2021, Uppsala, Sweden.
Advances in Representation Theory of Algebras, Conference in Honor of Andrzej Skowroński, 17-28 May 2021, Online.
AMS Spring Western Sectional Meeting, Categorical and Combinatorial Methods in Representation Theory, 1-2 May 2021, Online.
XIX International Conference on Representations of Algebras (ICRA 2020), (3 workshop lectures), 9-27 November 2020, Trieste, Italy (now online).
Fourth International Colloquium on Representations of Algebras and Its Applications; Alexander Zavadskij, 4-6 November 2020, Bogota, Colombia (now online) Slides
Connections between Representation Theory and Geometry Winter School (3 lectures), Hausdorff Institute Trimester Programme, 12-16 October 2020, Bonn, Germany. (ONLINE: videos of the lectures)
Dimers in algebraic combinatorics and cluster algebras 2020, 3-14 August 2020, Michigan, USA. (ONLINE: video of the talk)
Combinatorics of Moduli Spaces, Cluster Algebras and Topological Recursion, 1-6 June 2020, Moscow, Russia.Postponed due to COVID.
Minicourse on 'Surfaces in Representation Theory' in the Program on Representations of Lie Algebras, 4-11 January 2020, Chengdu, China.
Integrable Systems Days, 29 November 2019, Loughborough.
Algebraic Representation Theory and related topics, 7-11 October 2019, Sanya, China.
Representation Theory in Bielefeld – Past and Future, 24-26 September 2019, Bielefeld, Germany.
Journeés du GDR: algebraic and geometric Lie theory, 29-30 August, 2019, Tours, France.
XXIII Coloquio Latinoamericano de Algebra, 5-9 August, 2019, Mexico City
Cluster Algebras and Mirror Symmetry, 15-18 July 2019, Cambridge
SIAM Cluster Algebra, 11-12 July 2019, Bern
Hochschild Cohomology, 27-31 May 2019, Dublin
LMS Regional Meeting, 28 May 2019, Newcastle
Loughborough, 27-30 March 2019
LMS COW network, 20 March 2019, Birmingham
Montpellier, 21 January 2019
Glasgow, 13-14 December 2018
Stability Conditions, 29 October - 2 November 2018, Oaxaca, Mexico
London Algebra Colloquium, 11 October 2018
North Carolina State, Raleigh, NC, USA, 7 August 2018
LMS Postgraduate Meeting at the General Annual LMS Meeting, London, UK, 29 June 2018
Lecture Series on Multiserial Algebras, CIMPA research school, Medellin, Columbia, 18-27 June 2018
Stuttgart, 30 May 2018
Colloquium Birmingham, 16 May 2018
Auslander Conference, Woods Hole, USA, 25 - 30 April 2018
Kent, 2 February 2018
Ada Lovelace Day, Warwick, 18 October 2017
Royal Holloway, London, 11 October 2017
ARTA, Luminy, France, 4-8 September 2017
20 year Anniversary BLOC Meeting, Oxford, 23-24 August 2017
LMS summer school, Manchester, 20 July 2017
LMS Women in Mathematics Day 2017, Warwick, 27 June 2017
Auslander Conference, Woods Hole, USA, 26 April - 1 May 2017
Bristol, Seminar, 29 March 2017
Conference in Representation Theory of the Americas, Vitoria do Espirito Santo, Brazil, March 13-17 2017
Mathematics Colloquium, Auburn University, USA, November 2016
Mathematics Colloquium, University of Kent, October 2016
Algebra Seminar, Trondheim, Norway, September 2016
Graz Algebra Seminar, Austria, 16 June 2016
Bonn, Germany, 3 June 2016
Oxford Algebra Seminar, 26 April 2016
East Anglia Pure Mathematics Research Seminar, 18 April 2016
Cardiff Pure Maths Colloquium, 14 April 2016
Workshop on Brauer Graph Algebras, 20-24 March 2016, University of Stuttgart, Germany.
CIMPA School, Homological Methods, Representation Theory and Cluster Algebras, 7-18 March 2016, Mar del Plata, Argentina
Cologne Algebra and Representation Theory Seminar
Exhibition 'Women of Mathematics' in Leicester from 8-14 March 2017, exhibition opening with talks on 8 March.
Sian James Mmath Thesis (2017)
Kit Jones Mmath Thesis (2015)
Appearances on BBC Radio Leicester:
Interview 'At what age should we start learning mathematics', 20 February 2017 - Listen in starting at 2:21:15
Talk Show 'All about π', September 2013
Talk Show 'Women in Mathematics', May 2013
Women in Mathematics
International Women in Science Day: project IDUN is promoting women mathematics through research: Click here for our 2021 International Women in Science Day Video.
Why are there so few women professors in mathematics? BBC radio 4 Women's Hour
Why are there so few women in mathematics (The Atlantic)
Why women leave academia (The Guardian)
Detexify: finding Latex symbols
Gentle Algebras App by Jan Geuenich
Quiver Mutation App by Bernhard Keller
See here for my NTNU Trondheim webpage.