I'm a postdoc in algebraic topology at the LudwigMaximiliansUniversity Munich. Before this, I was a postdoc and MarieCurie Fellow at the University of Copenhagen. Until 2017 I was a doctoral student at the University of Oxford. My advisor was Prof. Ulrike Tillmann. My thesis on commutative Ktheory is available here.
Mathematisches Institut
Theresienstraße 39
80333 München, Germany
Office B.312
Curriculum vitae


Research interests
My research interests are in algebraic topology and its applications. A large part of my work has been on the topology of certain moduli spaces of representations, particularly spaces of commuting elements in Lie groups. Earlier in my career I did some research in theoretical particle physics.
Research articles
Preprints
 A stable splitting for spaces of commuting elements in unitary groups
(with Alejandro Adem and José Manuel Gómez)
Preprint (2024), 32 pages ▪ arXiv
 A remark on the groupcompletion theorem
Preprint (2017) ▪ arXiv
Published or accepted articles
 On families of nilpotent subgroups and associated coset posets
(with Bernardo Villarreal)
J. Homotopy Relat. Struct. (2022), 17 pages ▪ journal ▪ arXiv
 On the second homotopy group of spaces of commuting elements in Lie groups
(with Alejandro Adem and José Manuel Gómez)
Int. Math. Res. Not. IMRN (2021), 73 pages ▪ journal (open access) ▪ arXiv
 Higher generation by abelian subgroups in Lie groups
(with Omar AntolínCamarena and Bernardo Villarreal)
Transform. Groups (2021), 16 pages ▪ journal (open access) ▪ arXiv
 Classifying spaces for commutativity of lowdimensional Lie groups
(with Omar AntolínCamarena and Bernardo Villarreal)
Math. Proc. Cambridge Phil. Soc. 169 (2020), 433478 ▪ journal ▪ arXiv
 Commuting matrices and Atiyah's Real Ktheory
(with Markus Hausmann)
J. Topol. 12 (2019), 832853 ▪ journal ▪ arXiv
 The spectrum for commutative complex Ktheory
Algebr. Geom. Topol. 18 (2018), 12051249 ▪ journal ▪ arXiv
 Variableflavornumber scheme for final state jets in thrust
(with Piotr Pietrulewicz, Andre Hoang, Ilaria Jemos, and Vicent Mateu)
Phys. Rev. D 90, 114001 (2014) ▪ journal ▪ arXiv
 Two loop soft function for secondary massive quarks
(with Andre Hoang, Ilaria Jemos, and Piotr Pietrulewicz)
Phys. Rev. D 89, 014035 (2014) ▪ journal ▪ arXiv
 Secondary heavy quark production in jets through mass modes
(with Andre Hoang, Ilaria Jemos, and Piotr Pietrulewicz)
Phys. Rev. D 88, 034021 (2013) ▪ journal ▪ arXiv
Reports
 On the space of commuting pairs in a Lie group
Mathematisches Forschungsinstitut Oberwolfach. Report No. 23/2020,
doi:10.14760/OWR202023
Teaching at LudwigMaximiliansUniversity Munich
Courses
 Reading course on rational and padic homotopy theory, summer term 2024
 Linear Algebra 2, TA, summer term 2024
 Seminar on Spectral Sequences, winter term 2023/24
 Topology 1, TA, winter term 2023/24
 Topology 2, lecturer, summer term 2023
 Topology 1, lecturer, winter term 2022/23
 Symplectic Geometry, TA, summer term 2022
 Seminar on Representation Varieties of Surface Groups, summer term 2022
 Seminar on Vector Bundles and KTheory, TA, winter term 2021/22
 Complex Geometry, TA, winter term 2021/22
 Mathematical Gauge Theory 2 (SeibergWittenTheory), TA, winter term 2021/22
Teaching at the University of Copenhagen
Supervision
 NicolasDomenic Reiter, "Deformation Ktheory" (MSc, 2020)
Courses
 Categories and Topology, lecturer (jointly with Jesper Grodal), winter 2020
 Homological algebra, lecturer, winter 2019
 Algebraic topology 1.5, lecturer (jointly with Thomas Wasserman), spring 2019
 Homological algebra, lecturer, winter 2018
 Algebraic topology 1.5, TA, spring 2018
 Homological algebra, TA, winter 2017
Other
A link to SPECTRA, the association for LGBTQ+ mathematicians.
The online workshop Spaces of Homomorphisms and Classifying Spaces SHCS2021 held 79 September 2021, jointly organised with Omar AntolínCamarena, Cihan Okay, and Bernardo Villarreal.
A miniworkshop on Simplicial complexes held 1721 August 2020 at the University of Copenhagen.
From Nov2017 until Apr2019 I organised with Tobias Barthel the Algebra and Topology seminar in Copenhagen.