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Talks
G-spectra II: duality, Wirthmüller isomorphism, spectra w/ G-action, fixed points, & tom Dieck splitting (Equivariant homotopy theory learning seminar, UIUC; notes) [February 2024]
The phony multiplication on Quillen's K-theory (Graduate student homotopy theory seminar, UIUC; notes) [February 2024]
Higher semiadditivity (Telescope conjecture seminar, UIUC; notes) [January 2024]
The homotopy fixed point spectral sequence for KUhC2 (Math 595, UIUC; notes) [December 2023]
Real K-theory as a sheaf of spectra ( Twisted equivariant K-theory and TMF seminar , UIUC) [September 2023]
Segal: Elliptic cohomology (Math 527, UIUC; notes) [April 2023]
Superconnections and Thom classes (Graduate geometry and topology seminar, UIUC) [April 2023]
K(1)-local homotopy theory (Chromatic homotopy theory reading group, UIUC; video, notes) [March 2023]
Morava's orbit picture and Morava stabilizer groups (Chromatic homotopy theory reading group, UIUC; video, notes) [March 2023]
Atiyah--Hirzebruch: Vector bundles and homogeneous spaces (Math 527, UIUC; notes) [February 2023]
BP-theory and the Adams spectral sequence (Chromatic homotopy theory reading group, UIUC; video, notes) [February 2023]
Clifford algebras, modules, and Morita theory (Dan's seminar on field theories, UIUC; notes) [February 2023]
Proving Bott periodicity for homotopy theorists (Graduate student homotopy theory seminar, UIUC; notes) [February 2023]
Thom classes in KO-theory (Math 533, UIUC) [December 2022]
Atiyah--Bott--Shapiro: Clifford modules (Kan seminar, eCHT) [November 2022]
Applications of spin geometry (Graduate geometry and topology seminar, UIUC) [October 2022]
Twisted equivariant K-theory (Conformal field theory seminar, UIUC; notes) [October 2022]
Power operations in K-theory (Graduate student homotopy theory seminar, UIUC) [September 2022]
Equivariant K-theory (Conformal field theory seminar, UIUC; notes) [September 2022]
A survey of characteristic classes (Graduate geometry and topology seminar, UIUC) [April 2022]
Clifford algebras and KO-theory (Graduate geometry and topology seminar, UIUC) [April 2022]
An introduction to 2-categories (Graduate student homotopy theory seminar, UIUC) [March 2022]
Fiber integration (Differential cohomology seminar, UIUC) [March 2022]
Homotopy invariant sheaves (Differential cohomology seminar, UIUC) [February 2022]
An introduction to supermanifolds (Graduate geometry and topology seminar, UIUC) [Novermber 2021]
Sheaves on stacks (TMF seminar, UIUC) [October 2021]