I completed my PhD at the University of Copenhagen in November 2018. My advisor was Lars Hesselholt. My research is in Algebraic Topology and Arithmetic Geometry. More specifically I am interested in: Topological Hochschild homology (and all of its many related theories), equivariant stable homotopy theory, p-adic cohomology theories, p-adic Hodge theory, algebraic K-theory, Witt vectors and de Rham-Witt complexes.
In my PhD thesis I use the methods developed by Nikolaus and Scholze to make computations of algebraic K-theory using topological cyclic homology. The new framework greatly simplifies previous calculations and allows new ones as well.
For more information please see my: CV
1. On the K-theory of truncated polynomial algebras, revisited. Accepted in Advances in Mathematics. Available here: https://arxiv.org/abs/1901.10602
2. On the K-theory of coordinate axes in affine space. Submitted. Available here: https://arxiv.org/abs/1901.08550
Starting in the 2019 fall semester I will be a postdoc at UC Berkeley.
During the 2019 spring semester I was at MSRI in Berkeley as a postdoc in the derived algebraic geometry semester.
Conferences and organizing
March 1-6 2019 I was at the Arizona Winter School (AWS) in Tucson as study group assistant for Matthew Morrow’s lectures on THH and arithmetic geometry. The notes and videos of his talks are on the website. I made a few “reading projects” to guide students through the material, they are available here.
I helped compile the report for the Oberwolfach Arbeitsgemeinschaft on Topological Cyclic Homology, April 2018. It is available here.
June 2017 I co-organized a masterclass in Copenhagen on stable homotopy theory and p-adic Hodge theory. Check out the notes from the two great lecture series.
July 2016 I co-organized the Young Topologists Meeting in Copenhagen.
My master’s thesis Model Categories; With A View Towards Rational Homotopy Theory dealt with Quillen’s theory of model categories as it is exemplified in his work on algebraic models of rational homotopy theory. The thesis was supervised by Kristian Moi.
mps (at) berkeley.edu
UC Berkeley maths dept., Evans Hall, Room 987
Mathematical Sciences Research Institute, Room 202 Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark, Building 4, Room 4.03.