Department of Mathematics
Columbia University
Office: Room 506, Mathematics Hall

Email: akashs [at] math [dot] columbia [dot] edu

About me:

I am a Ritt Assistant Professor at Columbia University. My research interests are in algebraic geometry and number theory. I received my PhD in 2019 from Princeton University under the supervision of János Kollár. Previously, I completed my Bachelor's and Master's studies at Chennai Mathematical Institute, India.

My research work is in birational geometry and its applications to number theory, in particular the minimal model program (MMP), rational points on Fano varieties (Manin's conjecture) and the geometry of rational curves. Previously, I worked on higher rank Brill-Noether theory for curves.

Here are some of my papers:

1. Geometric consistency of Manin’s Conjecture (with B. Lehmann and S. Tanimoto ) To appear in Compositio Mathematica (2022). arXiv:1805.10580.
2. Manin’s Conjecture and the Fujita invariant of ﬁnite covers. Algebra & Number Theory (2021). arXiv:1712.07780.
3. Manin’s b-constant in families. Algebra & Number Theory 13(8): 1893-1905 (2019). arXiv:1708.05447.
4. Counterexamples to Mercat’s conjecture, Archiv der Mathematik 106, 439-444 (2016) arXiv:1306.2553.

Teaching:

1. Algebraic Curves, Columbia University, Spring 2020, Summer 2021, Spring 2022.
2. Calculus I, Columbia University, Fall 2019, Fall 2020, Fall 2021.
3. Multivariable Calculus, Princeton University, Fall 2016.