• 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 (\mathbb{F}_p) (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
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