Assistant Professor of Mathematics, at Utica College since Fall 2011

Mathematics Department
Utica College
1600 Burrstone Road
Utica, NY 13502
USA

Office: 109 DePerno Hall
Office Tel: (+1)-315-223-2438
Email: xixiao at utica dot edu
Office hour: MWF 9:30am-10:20, TR 11:15am-12:00pm or by appointment

Teaching:

• 2013 Spring: MAT 107
• 2013 Spring: MAT 201
• 2013 Spring: MAT 334
• 2013 Fall: MAT 112
• 2013 Fall: MAT 331

Research:

My current research interest is the classification of F-crystals over an algebraically closed field of positive characteristic. In particular, I am interested in computing/estimating various invariants of F-crystals such as isomorphism number, homomorphism number, level torsion, isogeny cutoffs, and minimal heights.

1. Computing isomorphism numbers of F-crystals using level torsions, to appear in Journal of Number Theory
2. Isomorphism number equals level torsion, in preparation