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I am a postdoctoral fellow at the Max Planck Institute for Mathematics, working in the group of Viktoriya Ozornova. Until recently, I was a Ph.D. candidate at the Mathematical Institute of Utrecht University under the supervision of Lennart Meier.
Research
My research interests lie in the realm of homotopy theory, particularly, I am interested in higher category theory.
Publications
A pasting theorem for iterated Segal spaces, Journal of Pure and Applied Algebra, 228 (2024), no. 11, 107712, arXiv:2210.04549.
A short proof of the straightening theorem, with F. Hebestreit and G. Heuts, Transactions of the American Mathematical Society B, 12 (2025), 697–747, arXiv:2111.00069.
Preprints
On the squares functor and the Gaitsgory–Rozenblyum conjectures, with F. Loubaton, arXiv:2507.07807.
Formal category theory in ∞-equipments II: Lax functors, monoidality and fibrations, arXiv:2408.15190.
Homotopy coherent companionships and conjunctions, submitted, arXiv:2408.14335.
Formal category theory in ∞-equipments I, submitted and currently in revision, arXiv:2308.03583.
Theses
On multiple ∞-categories and formal category theory via ∞-equipments, Ph.D. thesis, Utrecht University, April 2025.
Grothendieck constructions in higher category theory, master's thesis, Utrecht University, August 2020.
Organization
I am/was involved in the organization of the following activities:
Abstract homotopy theory seminar, Bonn, ongoing.
Conference on (∞,n)-categories and their applications, Utrecht, 15-19 April, 2024.
Junior chromatic homotopy theory seminar, Utrecht, 2021-2022.
Chromatic homotopy theory seminar, Utrecht, 2021-2022.
Contact
ruit (at) mpim (hyphen) bonn (dot) mpg (dot) de
Max-Planck-Institut für Mathematik, room B.12
Vivatsgasse 7, Bonn, Germany
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