The Office of Graduate Administration is pleased to announce that Ravinder Sra will be defending their thesis entitled “The Ideal Class Group of Quadratic Fields” as a candidate for the degree Master of Science in Mathematics. 

If you wish to join online, please contact grad-office@unbc.ca. The details on the defence are included below:

DATE:  April 6, 2023
TIME:   10:00 am

DEFENCE MODE: Remotely via Zoom

To ensure the defence proceeds with no interruptions, please mute your audio and video on entry and do not share your screen inadvertently. The meeting will be locked to entry 5 minutes after it begins, ensure you are on time.  

ABSTRACT:     The ideal class group problem is one of the very interesting problems in algebraic number theory. In this thesis we focused on quadratic fields. We studied the group of units of the rings of algebraic integers and calculated fundamental units in several quadratic fields. We also studied detailed proof of analytic Dirichlet class number formula with numerical examples and its relation to binary quadratic forms. In addition, we also presented detailed proof of Carlitz theorem with numerical examples.         

COMMITTEE MEMBERSHIP:

Chair: Dr. Erik Jensen, University of Northern British Columbia

The examining Committee Members are:

Supervisor: Dr. Pranesh Kumar, University of Northern British Columbia

Co-Supervisor: Dr. Edward Dobrowolski , University of Northern British Columbia   

Committee Member: Dr. Mark Shegelski, University of Northern British Columbia

External Examiner: Dr. Chris Pinner, Kansas State University, Professor, PhD in Mathematics