Overview

• My CV.

• PhD Student
  Koen van Woerden.

Papers

• Descent and vanishing in chromatic algebraic K-theory via group actions. Joint with Dustin Clausen, Akhil Mathew, and Niko Naumann. to appear in Annales scientifiques de l'École normale supérieure ca. 2024.
• Derived Induction and Restriction Theory. Joint with Akhil Mathew, and Niko Naumann. Geometry and Topology, vol 23, pp. 541-636, 2019.
• The Balmer spectrum of the equivariant homotopy category of a finite abelian group. Joint with Tobias Barthel, Markus Hausmann, Niko Naumann, Thomas Nikolaus, and Nathaniel Stapleton. Inventiones Mathematicae, vol 216, pp. 215-240, 2019.
• Descent in algebraic K-theory and a conjecture of Ausoni-Rognes. Joint with Dustin Clausen, Akhil Mathew, and Niko Naumann. to appear in the Journal of the European Mathematical Society.
• Nilpotence and descent in equivariant stable homotopy theory. Joint with Akhil Mathew and Niko Naumann. Advances in Mathematics, vol 305, pp. 994-1084, January 2017.
• On a nilpotence conjecture of J.P. May. Joint with Akhil Mathew and Niko Naumann. Journal of Topology, 8 (4): pp. 917-932, 2015.
• Nilpotence in the symplectic bordism ring. Contemporary Mathematics Proceedings of the Conference on Manifolds, K-Theory, and Related Topics. AMS, 2015.
• Lifting homotopy \(T\)-algebra maps to strict maps. Joint with Niles Johnson. Advances in Mathematics, vol. 264(20), pp. 593-645, October 2014.
• The \(T\)-algebra spectral sequence: Comparisons and applications. Algebraic and Geometric Topology, 14-6 2014, 3395-3417.
• \(H_\infty\neq E_\infty.\) Contemporary Mathematics, vol. 617, AMS, 2014.
• For complex orientations preserving power operations p-typicality is atypical. and the accompanying Sage code. Joint with Niles Johnson. Topology and its Applications, September 2010.
• Some applications of the theory of formal groups to algebraic topology. University of Chicago PhD thesis, August 2009.

Archived Projects

• An alternative model for derived manifolds (draft). Joint with Dennis Borisov.

Conferences

• I coorganized a conference on 'Picard groups, Brauer groups, invertible objects, and twistings in derived algebraic geometry' to take place at the University of Regensburg the week of April 3rd-7th.
• In the summer of 2015, I coorganized a summer school on 'Trace methods in algebraic K-theory' with George Raptis.

Selected Talks

• Nilpotence and periodicity in equivariant stable homotopy theory (video), (slides) From the Electronic Computational Homotopy Theory Seminar in May 2018.
• On and around some conjectures of Ausoni and Rognes (video), (slides) From the 2017 Hausdorff Institute Workshop on Algebraic K-theory.
• On and around some conjectures of Ausoni and Rognes, (slides) From the 2016 MFO Topology workshop.
• On and around some conjectures of Ausoni and Rognes (video), (slides) From the 2016 Banff workshop on Operations in Highly Structured Homology Theories.
• Derived Induction and Restriction theory (video), (slides) From the 2016 Banff workshop on equivariant Derived Algebraic Geometry.
• Derived Induction and Restriction Theory (pdf) From the Mooloolaba conference on geometric and categorical representation theory.
• On a nilpotence conjecture of J.P. May From Tom Goodwillie's birthday conference. (Handout version)
• The T-algebra spectral sequence: Comparisons and applications From the Eilenberg centennary conference. (Handout version)
• Equivariant cohomology of representation spheres and Pic(S_{G}) graded computations From talks given in late 2012/early 2013. (Handout version)
• Equivariant cohomology and moduli spaces of maps From talks given in 2012. (Handout version)
• Complex orientations and power operations. From talks given in 2010-2011. ( Handout version)