# Swaraj Pande

### Research Interests

My research interests lie in commutative algebra and algebraic geometry. In particular, I like to think about invariants of singularities of algebraic varieties. These include multiplier ideals, log canonical thresholds and jumping numbers in characteristic zero, and test ideals, F-pure thresholds and the F-signature in positive characteristics. Recently, I have also been interested in K-stability and the geometry of Fano varieties.

#### Preprints/ Publications

1. Multiplicities Of Jumping Numbers, * Algebra & Number Theory * , Volume 17 (2023), No. 1, 83- 110,* Arxiv *

2. The F-Signature Function On The Ample Cone, (joint with Seungsu Lee), * International Mathematics Research Notices *, 2023, rnad174, * Arxiv *

3. A Frobenius version of Tian's α-invariant, * Arxiv. *