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Adjunction of roots, algebraic K-theory and chromatic redshift(joint with Christian Ausoni and Haldun Özgür Bayındır), submitted.
Cogroupoid structures on the circle and the Hodge degeneration, submitted.
Filtered formal groups, Cartier duality, and derived algebraic geometry, submitted.
Algebraic K-theory of THH (joint with Haldun Özgür Bayındır), to appear in Transactions of the American Mathematical Society.
The geometry of filtrations, to appear in Bulletin of the London Mathematical Society.
A Universal HKR Theorem (joint with Marco Robalo and Bertrand Toën), to appear in Geometry & Topology.
Topological K-theory of Twisted Equivariant Perfect Complexes (joint with Michael K. Brown), to appear in Homology, Homotopy and Applications.
Derived Azumaya algebras and twisted K-theory, Advances in Mathematics. 351 (2019) 761-803
The Real Dynamics of Bieberbach’s Example , Journal of Geometric Analysis. 25(4) (2015) 2386-2406