## Work in preparation

**Motivic spectral mackey functors****Mod 2 Power Operations in Normed Motivic Spectra**

## Preprints

- (with Mike Hopkins)
**Eta-periodic motivic stable homotopy theory**[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]