## Overview

- My CV.

- PhD Student
Koen van Woerden.

## Papers

- 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.

## Projects

- Bounding chromatic complexity and red-shift in algebraic K-theory. Joint with Dustin Clausen, Akhil Mathew, and Niko Naumann.
- Picard groups in equivariant stable homotopy theory. Joint with Akhil Mathew and Vesna Stojanoska.
- The bordism groups of 'very parallelizable' manifolds.
- An alternative model for derived manifolds (draft). Joint with Dennis Borisov.

## Conferences

- I am coorganizing 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)