The Average Genus of Oriented Rational Links

Doctoral Candidate Name: 
Dawn Ray
Program: 
Mathematics (Applied)
Abstract: 

The goal of this thesis is to enumerate the number of oriented rational knots and the number of oriented rational links with any given crossing number and minimum genus. This allows us to obtain a precise formula for the average minimal genus of oriented rational knots and links with any given crossing number.

Defense Date and Time: 
Thursday, June 30, 2022 - 1:00pm
Defense Location: 
Zoom meeting
Committee Chair's Name: 
Yuanan Diao
Committee Members: 
Gabor Hetyei, William Brian, Anthony Brizendine