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I am a postdoc at the University of Regensburg working in the group of Prof. Niko Naumann. The position is supported by SFB 1085 "Higher Invariants" and DFG .
My research interests are in homotopy theory, with a focus on equivariant stable homotopy theory and tensor triangulated geometry.
Previously, I was a PhD student at the University of Sheffield under the supervision of Prof. John Greenlees and Prof. Neil Strickland.
Preprints:
The spectrum of global representations for families of bounded rank and VI-modules, joint with Miguel Barrero, Tobias Barthel, Neil Strickland and Jordan Williamson (2025), arXiv link
Global representation theory: Homological foundations, joint with Miguel Barrero, Tobias Barthel, Neil Strickland and Jordan Williamson (2025), arXiv link
Torsion models for tensor-triangulated categories, joint with with Scott Balchin, J.P.C. Greenlees and Jordan Williamson, (2025), arXiv link,
Separable commutative algebras in equivariant homotopy theory, joint with Niko Naumann and Maxime Ramzi (2024), Arxiv link
A symmetric monoidal fracture square, joint with Niko Naumann and Maxime Ramzi (2024), Arxiv link
Global 2-rings and genuine refinements, joint with David Gepner and Sil Linskens (2024), Arxiv link
Publications:
Quillen stratification in equivariant homotopy theory, joint with Tobias Barthel, Natàlia Castellana, Drew Heard and Niko Naumann, Inventiones Mathematicae, Arxiv link , Journal link
Global homotopy theory via partially lax limits, joint with Sil Linskens and Denis Nardin, Geometry & Topology, arXiv link, Journal link
Separable commutative algebras and Galois theory in stable homotopy theories, joint with Niko Naumann, Advances in Mathematics, Arxiv link, Journal link
Descent in tensor triangular geometry, joint with Tobias Barthel, Natàlia Castellana, Drew Heard, Niko Naumann and Beren Sanders, Proceedings of the Abel Symposium 2022, Arxiv link
Local Gorenstein duality in chromatic group cohomology, joint with Jordan Williamson, Journal of Pure and Applied Algebra , arXiv link, Journal link
Representation stability and outer automorphism groups, joint with Neil P. Strickland, Documenta Mathematica, arXiv link, Journal link
The homotopy theory of complete modules, joint with Jordan Williamson, Journal of Algebra, arXiv link, Journal link
Torsion model for tensor triangulated categories: the one-step case, joint with Scott Balchin, J.P.C. Greenlees and Jordan Williamson, Algebraic & Geometric Topology ,arXiv link, Journal link
The Left Localization Principle, completions, and cofree G-spectra, joint with Jordan Williamson, Journal of Pure and Applied Algebra, arXiv link, Journal link
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