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Subtle Invariants of F-crystals

Available at Journal of Ramanujan Mathematical Society, 2014

In this paper, we prove Vasiu’s conjecture that the isomorphism number of an F-crystal is equal to its level torsion.

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teaching

MAT 201 Calculus 1

Undergraduate course, Mathematics Department, Utica College, 2021

Welcome to the home page of Dr. Xiao Xiao’s Calculus 1 course at Utica College. You can find all the information for this course on this page. Due to the COVID-19 pandemic, this course will be entirely online for the Spring 2021 semester. Please find the Zoom link in Google Classroom.

MAT 334 Introduction to Abstract Algebra

Undergraduate course, Mathematics Department, Utica College, 2021

Welcome to the home page of Dr. Xiao Xiao’s Introduction to Abstract Algebra course at Utica College. You can find all the information for this course on this page. Due to the COVID-19 pandemic, this course will be entirely online for the Spring 2021 semester. Please find the Zoom link in Google Classroom.