Research

My current research concerns the arithmetic of superelliptic curves.

Preprints:

1. Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I (joint with Andrew Obus and Padmavathi Srinivasan), 33 pp.

2. Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II, 49 pp.

Slides from a 20 minute talk.

Other Publications:

3. Maximally Complete Maps on Orientable Surfaces (joint with Yanbing Gu and Ajmain Yamin). Proceedings of Bridges: Mathematics, Art, Music, Architecture, Culture (2024).