Interests
Arithmetic algebraic geometry and number theory, especially:
- arithmetic lattices in connection with Bruhat-Tits buildings,
- Shimura varieties, (non-archimedean) uniformization of fake quadrics,
- arithmetic of quaternion algebras,
- algebraic surfaces in positive characteristic,
- anabelian geometry.
Publications and Preprints
- Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes (arXiv:1808.03290)
(with Jakob Stix and Alina Vdovina)
International Journal of Algebra and Computation 29 (Sep 2019), Issue 06, 951-1007.
DOI: 10.1142/S0218196719500371
- Quaternionic Arithmetic Lattices of Rank 2 and a Fake Quadric in Characteristic 2 (arXiv:1707.09925)
International Journal of Algebra and Computation 28 (Sep 2018), Issue 06, 1049–1090.
DOI: 10.1142/S0218196718500467
- Godeaux-Serre Varieties with Prescribed Arithmetic Fundamental Group (arXiv:1709.01835)
Journal of Pure and Applied Algebra 222 (2018), no. 11, 3337-3344.
DOI: 10.1016/j.jpaa.2017.12.010
Nithi Rungtanapirom 