# Amit Tripathi

I am an assistant professor in the department of mathematics at IIT Hyderabad.

**Publications and preprints**

9) On the base case of a conjecture on ACM bundles over hypersurfaces (with G.V. Ravindra), submitted, [pdf]

8) Rank 2 Ulrich bundles on general double covers (with Ronnie Sebastian), to appear in the *Journal of Pure and Applied Algebra*, [pdf]

7) Grothendieck-Lefschetz and Noether-Lefschetz for bundles (with G.V. Ravindra), to appear in the *Proceedings of the American Mathematical Society*, [pdf]

6) Rank 3 ACM bundles on general hypersurfaces in P^5 (with G.V. Ravindra), *Advances in Mathematics, 355, 106780 (2019) *[pdf]

5) Remarks on higher rank ACM bundles on hypersurfaces (with G.V. Ravindra), *Comptes Rendus Mathématique de l'Académie des Sciences, Paris *Ser. I (2018) [pdf]

4) Rank 3 arithmetically Cohen-Macaulay bundles over hypersurfaces, *Journal of Algebra*, Volume 478 (2017) [pdf]

3) Splitting of low rank ACM bundles on hypersurfaces of high dimension, *Communications in Algebra*, Volume 44, 3 (2016) [pdf]

2) Torsion points and matrices defining elliptic curves (with G.V. Ravindra), *International Journal for Algebra and Computation* 24, 879 (2014) [pdf]

1) Extension theorems for vector bundles with applications to Noether-Lefschetz theorems (with G.V. Ravindra), *Communications in Contemporary Mathematics ***15**, 1350003 (2013) [pdf]