This fall, I will be an NSF postdoctoral fellow in the department of mathematics of Columbia University. I recently completed my PhD 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, with a particular emphasis on Bridgeland stability conditions. In the spring of 2024 I was a Stephen Della Pietra Fellow at MSRI/SLMath in Berkeley, California affiliated with the research semester in noncommutative algebraic geometry.
My CV is linked here. 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 an expanded -- and hopefully final -- version was posted to arXiv on August 1st, 2025.)
Here are some slides for a talk about augmented stability conditions given at Kavli IPMU.