Work in preparation
- Motivic spectral mackey functors
- Mod 2 Power Operations in Normed Motivic Spectra
Preprints
- Cancellation theorem for motivic spaces with finite flat transfers [arxiv]
- Eta-periodic motivic stable homotopy theory over Dedekind domanis [arxiv]
- (with Mike Hopkins) Eta-periodic motivic stable homotopy theory over fields [arxiv]
- The zeroth P^1-stable homotopy sheaf of a motivic space [arxiv]
- (with Elden Elmanto and Paul Arne Østvær) Stable motivic invariants are eventually étale local [arxiv]
- (with Kirsten Wickelgren) A^1-Euler classes: six functors formalisms, dualities, integrality and linear subspaces of complete intersections [arxiv]
- (with Elden Elmanto) Voevodsky's slice conjectures via Hilbert schemes [arxiv]
- (with Elden Elmanto, Adeel Khan, Vladimir Sosnilo and Maria Yakerson) On the infinite loop spaces of algebraic cobordism and the motivic sphere [arxiv]
- (with Jeremy Hahn) Nilpotence in normed MGL-modules [arxiv]
- (with Maria Yakerson) Towards conservativity of Gm-stabilization [arxiv]
- Rigidity in etale motivic stable homotopy theory [arxiv]
- Motivic Tambara Functors [arxiv]
- (with Marc Hoyois) Norms in Motivic Homotopy Theory [arxiv]
- (with Jean Fasel) On the effectivity of spectra representing motivic cohomology theories [arxiv]
Publications
- Affine Grassmannians in A^1-algebraic Topology [Sel. Math.] [pdf] [arxiv]
- On the Conservativity of the Functor Assigning to a Motivic Spectrum its Motive [Duke] [arxiv]
- Motivic and Real Etale Stable Homotopy Theory [Compositio] [arxiv]
- (with Alexander Vishik) Motivic equivalence of affine quadrics [Math. Ann.] [arxiv]
- Some Remarks on Units in Grothendieck-Witt Rings [Journal of Algebra] [arxiv]
- The Generalized Slices of Hermitian K-Theory [Journal of Topology] [arxiv]
- On the Invertibility of Motives of Affine Quadrics [Documenta Math.] [arxiv]