(Quaternion) Algebras in Number Theory

MATH 6393



Announcements:
none

Instructor
Kimball Martin
924 Physical Sciences Center
(405) 325-3537
kmartin@math.ou.edu
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Lecture
MWF 9:30am-10:20am, PHSC 809

Course Notes
These notes are still in progress and likely have many mistakes.
Please notify me of any errors you find or suggestions you may have.
Preface IntroductionEdited: 1/20/2016
Chapter 1 Some algebraic number theoryEdited: 2/9/2017
Chapter 2 Basics of associative algebrasEdited: 4/24/2016
Chapter 3 Quaternion algebras and quadratic formsEdited: 4/24/2016
Chapter 4 Integral structures in algebrasEdited: 6/11/2016
Chapter 5 Classification of quaternion algebrasEdited: 2/9/2017
Chapter 6 (INCOMPLETE) Arithmetic of quaternion algebrasEdited: 2/9/2017
Chapter 7 Modular forms on quaternion algebras
Chapter 8 Octonion algebras
References/Index (index only accurate for Ch 1-5)Edited: 2/9/2017

Links

Academic Calendar
Number Theory I course page
Number Theory II course page
Modular Forms course page