I am a sixth year graduate student at Cornell University working under the supervision of Daniel Halpern-Leistner. I am interested in derived and triangulated categories and moduli spaces in algebraic geometry. In spring 2024 I was a Stephen Della Pietra Fellow at MSRI/SLMath in Berkeley, California affiliated with the research semester in noncommutative algebraic geometry. This semester (fall 2024) I will be on the job market for postdoctoral positions. You can find a copy of my CV here.
Together with Jeffrey Jiang, I co-founded the Cornell DRP in Spring of 2020. I am currently a co-organizer of the DRP, together with Chase Vogeli and Sara Venkatraman.
I also sometimes answer questions on math stack exchange.
You can get in contact with me by email at ar2377"at"cor.....edu.
(2024) Stability Conditions and Semiorthogonal Decompositions II: Augmented stability conditions (joint with D. Halpern-Leistner) (in preparation)
(2024) Dimension theory of noncommutative curves (joint with A. Bhaduri and I. Goldberg) https://arxiv.org/abs/2410.18061
(2024) Multiscaled lines with collision https://arxiv.org/abs/2403.16357
(2023) Stability Conditions and Semiorthogonal Decompositions I: Quasi-convergence (joint with J. Jiang and D. Halpern-Leistner) https://arxiv.org/abs/2401.00600
(2023) Admissible subcategories of noncommutative curves https://arxiv.org/abs/2312.06967 (Note that a new and improved version was posted May 27th, 2024.)