Luca Pol

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 algebraic topology, 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.

Publications:

Descent in tensor triangular geometry, joint with Tobia Barthel, Natàlia Castellana, Drew Heard, Niko Naumann and Beren Sanders (2023), accepted for publication in the Proceedings of the Abel Symposium 2022, Arxiv link
Local Gorenstein duality in chromatic group cohomology, joint with Jordan Williamson (2021), 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

Preprints:

Global homotopy theory as partially lax limits, joint with Sil Linskens and Denis Nardin (2022), arXiv link
Quillen stratification in equivariant homotopy theory, joint with Tobias Barthel, Natàlia Castellana, Drew Heard and Niko Naumann (2023), Arxiv link
Separable commutative algebras and Galois theory in stable homotopy theories, joint with Niko Nauman (2023), Arxiv link