My research interests are broadly in homotopy theory and algebraic geometry, and especially their interactions. These include, but are not limited to derived and spectral algebraic geometry, chromatic and motivic homotopy theory. Lately, I have been especially interested in condensed mathematics and prismatization.
Papers:
Prismatization via spherical loop spaces
https://arxiv.org/abs/2511.00756
Even periodization of spectral stacks
https://arxiv.org/abs/2504.16410
Stone duality between condensed mathematics and algebraic geometry
http://arxiv.org/abs/2401.02568
Moduli stack of oriented formal groups and cellular motivic spectra over C
https://arxiv.org/abs/2111.15212
Moduli stack of oriented formal groups and the chromatic filtration
https://arxiv.org/abs/2111.15202
Moduli stack of oriented formal groups and periodic complex bordism
https://arxiv.org/abs/2107.08657
The Devinatz-Hopkins Theorem via Algebraic Geometry
Algebraic & Geometric Topology 23:7 (2023) 3015–3042
preprint available at: https://arxiv.org/abs/2103.07436