Personal website of Jonas McCandless
I am a postdoc at the Max Planck Institute for Mathematics in Bonn. I obtained my PhD at the University of Münster under the supervision of Thomas Nikolaus in August 2022. Before coming to Münster, I obtained by master's at the University of Copenhagen under the supervision of Lars Hesselholt.
I am interested in homotopy theory, higher algebra, and its various connections to arithmetics. I am mostly thinking about algebraic K-theory and the multitude of theories related to topological Hochschild homology.
For more information see my CV.
Feel free to contact me at: mccandless (at) mpim-bonn.mpg.de
News:
Workshop on dualisable categories and continuous K-theory at the MPI in Bonn, September 9-13, 2024.
In the summer semester of 2024, I'm co-teaching a course with Kaif Hilman on algebraic K-theory.
Papers
A chromatic vanishing result for TR with Liam Keenan. To appear in the Proceedings of the American Mathematical Society.
Polygonic spectra and TR with coefficients with Achim Krause and Thomas Nikolaus.
On curves in K-theory and TR. J. Eur. Math. Soc. (2023). There is a great blog post on this work written by Ben Antieau.
Expository writings
Recovering crystalline cohomology from periodic topological cyclic homology. Notes for my master thesis defense in Copenhagen, June 2019.
On the cyclotomic t-structure and filtrations on topological Hochschild homology. My master thesis written under the supervision of Lars Hesselholt. (May 2019)
Snaith's theorem and elliptic cohomology after Lurie. Notes for a talk given at the arbeitsgemeinschaft on elliptic cohomology in Oberwolfach, April 2019.
Duality and ambidexterity in K(n)-local spectra. A project written under the supervision of Tobias Barthel. (June 2018)
Topological Hochschild homology of E-infinity rings. Notes for a talk given at the arbeitsgemeinschaft on TC in Oberwolfach, April 2018.
Symmetric spectra with a view toward higher algebra. My bachelor thesis written under the supervision of Lars Hesselholt and Gijs Heuts. (June 2017)