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1. Analysis on Singular Spaces: Applications of Operator Algebras to Boundary Value Problems

open_access
Open Access
Author:
Qiao, Yu
Title:
Analysis on Singular Spaces: Applications of Operator Algebras to Boundary Value Problems
Graduate Program:
Mathematics
Keywords:
Layer potentials
domains with conical points
Lie groupoids
Dirichlet Problem
C^*-algebras
Mellin transforem
File:
Download YuQiao-Dissertation.pdf
Committee Members:
Victor Nistor, Dissertation Advisor/Co-Advisor
Victor Nistor, Committee Chair/Co-Chair
John Roe, Committee Chair/Co-Chair
Kris Wysocki, Committee Member
Anna L Mazzucato, Committee Member
Corina Stefania Drapaca, Committee Member

2. Groupoids and Algebras of Certain Singular Foliations with Finitely Many Leaves

open_access
Open Access
Author:
Francis, Michael
Title:
Groupoids and Algebras of Certain Singular Foliations with Finitely Many Leaves
Graduate Program:
Mathematics (PHD)
Keywords:
operator algebras
differential geometry
foliations
Lie groupoids
File:
Download MichaelFrancis-Disseration.pdf
Committee Members:
Ping Xu, Major Field Member
Nigel Higson, Chair & Dissertation Advisor
Martin Bojowald, Outside Unit & Field Member
Nathanial Brown, Major Field Member
Alexei Novikov, Program Head/Chair