Research

Papers

• Good moduli spaces in derived algebraic geometry (joint with Eric Ahlqvist, Michele Pernice and Michail Savvas), Sep 2023, arXiv:2309.16574.

• Blow-ups and normal bundles in connective and nonconnective derived geometries (joint with Oren Ben-Bassat), Mar 2023, arXiv:2303.11990.

• Stabilizer reduction for derived stacks and applications to sheaf-theoretic invariants (joint with David Rydh and Michail Savvas), Sep 2022, arXiv:2209.15039.

• Graded algebras, projective spectra and blow-ups in derived algebraic geometry, Sep 2021, arXiv:2106.01270.

• Deformation to the normal bundle and blow-ups via derived Weil restrictions (joint with Adeel Khan and David Rydh), forthcoming.

Ongoing work

• On derived prismatic cohomology (joint with Zachary Gardner)

• HKR in generalized derived algebraic contexts (joint with Oren Ben-Bassat and Jack Kelly)

• On Grothendieck duality, purity, and nearby cycles functors in (derived) motivic homotopy theory (joint with Denis-Charles Cisinski, Christian Dahlhausen, Marc Hoyois, and Storm Wolters)

• Perfect blow-ups and smoothness.

Theses

• Blow-ups and normal bundles in derived algebraic geometry and beyond (PhD thesis, 2023).

• Segal objects in homotopical categories & K-theory of proto-exact categories (Master thesis, 2017).

• Belyi pairs, dessins d'enfants & hypermaps (Bachelor thesis mathematics, 2014).

• Natural models, second-order logic & categoricity in set theory (Bachelor thesis philosophy, 2014).