Papers

  1. Thesis: Motivic Contractibility of the Space of Rational Maps (preliminary version, comments welcome, last updated April 28 2018) (To be split into two papers).
  2. Motivic Landewber Exact Theories and Étale Cohomology (with Marc Levine, Markus Spitzweck and Paul Arne Østvær). [Arxiv:1711:06258] (preliminary version, comments welcome, last updated Nov 16 2017).
  3. Motivic Infinite Loop Spaces (with Marc Hoyois, Adeel Khan, Vladimir Sosnilo and Maria Yakerson[Arxiv:1711:05248] (submitted, last updated: May 21 2018).
  4. Modules over MW-Motivic Cohomology (with Håkon Andreas Kolderup) [Arxiv:1708.05651] (title to be revised and result generalized further, comments welcome, last updated: Aug 22 2017) .
  5. A Primer to Unstable Motivic Homotopy Theory (with Benjamin Antieau). Surveys on Recent Developments in Algebraic Geometry, Proc. Sympos. Pure Math. 95 (2017), 305-370. [Arxiv:1605.00929].
  6. Some nontrivial examples of the BOS twisted spectral sequence (with Igor Kriz). New York J. Math. 22 (2016) 363–378. [Arxiv:1604.04260] [NYJM].

Reports

  1. Topological Periodic Cyclic Homology of Smooth \mathbb{F}_p-algebras. (After Bhatt-Morrow-Scholze) (submitted, Oberwolfach Report, last updated May 26 2018).

In Preparation

  1. Twisted Homotopy Ktheory and Twisted Cycle Class Maps.
  2. Étale Framed Motives.
  3. A Kahn-Priddy Theorem in Motivic Homotopy Theory (with Maria Yakerson).
  4. Relative Étale Realization of motivic spaces (with David Carchedi, available upon request, 71 pages).
  5. Mod 2 Power Operations in Normed Motivic Spectra (with Tom Bachmann and Jeremiah Heller).
  6. Framed Transfers and Motivic Fundamental Classes (with Marc Hoyois, Adeel Khan, Vladimir Sosnilo and Maria Yakerson, available upon request, 36 pages).