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Author:

Ochoa, Joseph R

Title:

Topics in the Standard Model of Particle Physics Extension and Fourth-Order Gravity

Graduate Program:

Physics

Keywords:

weyl tensor
cosmic microwave background
cmb
chern-simons
circular polarization
lorentz
violation
cosmology
standard model extension
noncommutative geometry
gravitational waves
fourth-order gravity

File:

Download JosephOchoa-Dissertation.pdf

Committee Members:

Martin Bojowald, Dissertation Advisor/Co-Advisor
Stephon Alexander, Committee Chair/Co-Chair
Martin Bojowald, Committee Chair/Co-Chair
Richard Wallace Robinett, Committee Member
Victor Nistor, Committee Member

Author:

Yuncken, Robert Elms

Title:

Analytic structures for the index theory of SL(3,C)

Graduate Program:

Mathematics

Keywords:

index theory
noncommutative geometry
K-theory
Baum-Connes conjecture

File:

Download thesis.pdf

Committee Members:

Nigel David Higson, Committee Chair/Co-Chair
John Roe, Committee Member
Nathanial Patrick Brown, Committee Member
Murat Gunaydin, Committee Member

Author:

Dave, Shantanu

Title:

Equivariant Noncommutative Residue and an Equivarirant Weyl's Theorem

Graduate Program:

Mathematics

Keywords:

noncommutative geometry
Hochschild and cyclic homology
noncommutative residue
Pseudodifferential operators
Algebras of complete symbols
eigenvalue asymtotics

File:

Download thesis.pdf

Committee Members:

Victor Nistor, Committee Chair/Co-Chair
Paul Frank Baum, Committee Member
Nigel David Higson, Committee Member
John Roe, Committee Member
Jorge Osvaldo Sofo, Committee Member

Author:

Yashinski, Allan Anthony

Title:

Periodic cyclic homology and smooth deformations

Graduate Program:

Mathematics

Keywords:

deformations
cyclic homology
Gauss-Manin connection
noncommutative tori
noncommutative geometry

File:

Download AllanYashinski-Dissertation.pdf

Committee Members:

Nigel David Higson, Dissertation Advisor/Co-Advisor
Nathanial Patrick Brown, Committee Member
John Roe, Committee Member
Radu Roiban, Committee Member

Author:

Tan, Qijun

Title:

Asymptotically Contained Representations and the Spherical Plancherel Formula

Graduate Program:

Mathematics

Keywords:

Plancherel formula
representation of semi-simple Lie groups
symplectic geometry
noncommutative geometry
harmonic analysis
C^*-algebra

File:

Download master.pdf

Committee Members:

Nigel David Higson, Dissertation Advisor/Co-Advisor
Nigel David Higson, Committee Chair/Co-Chair
Paul Frank Baum, Committee Member
Ping Xu, Committee Member
Murat Gunaydin, Outside Member