MATH 663 - Subfactors, Knots, and Planar Algebras

Instructor: Michael Brannan

Fall 2017

• EXTRA LECTURE!!!: Tuesday September 5, 9:35-10:50 in BLOC 605 AX

• Course Syllabus

• Classes meet 11:10-12:25 Tuesdays and Thursdays in BLOC 605 AX.

• Some reference notes (courtesy of Roland Speicher)

• List of possible group projects

• Yuze Ruan and Mingyu Liu: Goldman's theorem.
• Kari Eifler, Lucas Hall, and Jacob Mashburn: Principal graphs and the classification of small index subfactors.
• Konrad Wrobel: Ultraproducts and property gamma
• Amudhan Krishnaswamy-Usha and David Buzinski: Quantum group representations and subfactors.
• Paul Gustafson and Qing Zheng: Temperley-Lieb-Jones algebroids and Jones algebroids.
• Li Ying: Representations of the Temperley-Lieb algebra.

• Assignment 1

• Assignment 2

• Assignment 3

• Assignment 4

• Assignment 5