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. Starting in the fall of 2025 I will be an NSF postdoctoral fellow at Columbia University. 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-organiser of the DRP along with Chase Vogeli.
I also sometimes answer questions on math stack exchange.
You can get in contact with me by email at ar2377"at"cor.....edu.
(2025) Multiscale differentials and wonderful models (joint with P. Devkota and A. Zahariuc)
(2024) The space of augmented stability conditions (joint with D. Halpern-Leistner)
(2024) Dimension theory of noncommutative curves (joint with A. Bhaduri and I. Goldberg)
(2024) Multiscaled lines with collision
(2023) Stability Conditions and Semiorthogonal Decompositions I: Quasi-convergence (joint with J. Jiang and D. Halpern-Leistner)
(2023) Admissible subcategories of noncommutative curves (Note that a new and improved version was posted May 27th, 2024.)
Here are some slides for a talk about augmented stability conditions given at Kavli IPMU.