About me

I am a Senior Lecturer in Algebra and Topology at Cardiff University and a member of the research group Geometry, Algebra, Mathematical Physics and Topology.

My research focuses on connections between operator algebras and algebraic topology, in particular (twisted) K-theory and index theory. I am also interested in topological and conformal field theories with a view towards elliptic cohomology.

Before joining the GAPT group at Cardiff University I was a post-doc (akademischer Rat auf Zeit) at the University of Münster. I received my PhD in Mathematics under supervision of Thomas Schick and my Diploma in Physics under supervision of Karl-Henning Rehren in Göttingen.

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Recent Activities

• From 4th November to 6th December 2024 I will be at the Newton Institute for the programme Quantum information, quantum groups and operator algebras.
• I will visit the University of Regensburg from 14th to 23rd October 2024 for research. 
• I will visit my Alma Mater, the University of Göttingen, from 30th September to 13th October 2024 for research and to attend the RTG Autumn School From T-Duality via K-theory to Representation Theory.
• The next meeting of the research network Operator Algebras in the South of the UK will take place from 6th to 7th September 2024 in Southampton.
• I will be at the 37th British Topology Meeting in Aberdeen from 28th to 30th August. This conference will be organised by a team at Cardiff in 2025.
• My PhD student Valerio Bianchi recently gave a talk about his project in Regensburg at the conference From Analysis to Homotopy Theory.
• From 12th to 14th of June I will be at the UK Operator Algebras conference in Newcastle. 
• I will visit the Dublin Institute for Advanced Studies (DIAS) from 18th to 23rd May 2024.
• Together with my PhD student, Valerio Bianchi, I am attending the conference From Analysis to Homotopy Theory from 13th to 17th May in Greifswald, Germany.
• The next meeting of the network Operator Algebras in the South of the UK will be a two-day event that will take place on 15th-16th March 2024 at Oxford University. Details can be found here.
• With Ulrich Bunke and Markus Land I wrote a survey about KK-theory from a homotopical point of view. The preprint on the arXiv can be found here.
• The next meeting of the research network Operator Algebras in the South of the UK will take place on Friday, 24th November 2023 in Bath. Details of the event can be found here.
• Together with David Evans I finished the computation of the rational equivariant higher twisted K-groups of SU(n). The preprint can be found on the arXiv here.
• I am co-organising a workshop with support from the Bremen-Cardiff collaboration fund. The title is Combinatorial Topology, Discrete Geometry and their Application to Data Science. It will take place on 12th September 2023 at Cardiff University. The details, registration page and schedule can be found here. Unfortunately, due to unforeseen circumstances this workshop had to be postponed.
• It is my great pleasure to announce that the second meeting of the new network Operator Algebras in the South of the UK will take place on Friday, 19th May 2023 in Southampton. 
• I will give a talk at the British Topology Meeting 2023 in September 2023.
• I will be at the Isaac Newton Institute in Cambridge from 26th June to 30th June 2023 for OAS Follow on: Operator Algebras: Subfactors and Applications.
• I will be in Glasgow for a seminar talk from 22nd March to 24th March 2023
• I will speak in the lunch-time seminar in Southampton on 20th March 2023
• It is my great pleasure to announce that the first meeting of the new network Operator Algebras in the South of the UK will take place on Friday, 3rd March 2023 in Cardiff. 
• I am very glad that the conference "Operator Algebras: Subfactors, K-theory, Conformal Field Theory" that I am organising with Mathew Pugh and Gandalf Lechner will take place at Gregynog Hall from 27th July to 2nd August.