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Author:

Scheglov, Dmitri V

Title:

Absence of mixing for smooth flows on the genus two surface

Graduate Program:

Mathematics

Keywords:

Rauzy induction
smooth dynamics

File:

Download DmitriScheglovThesis.pdf

Committee Members:

Anatole Katok, Dissertation Advisor/Co-Advisor
Anatole Katok, Committee Chair/Co-Chair
Omri Sarig, Committee Member
Martin Bojowald, Committee Member
Svetlana Katok, Committee Member

Author:

Signori, Daniele

Title:

Poisson sigma models, reduction and nonlinear gauge theories

Graduate Program:

Mathematics

Keywords:

poisson sigma models
nonlinear gauge theories
homotopy algebras
AKSZ
BV
BFV
deformation quantization
principal groupoid bundle
groupoids
algebroids

File:

Download Daniele_Signori_-_Dissertation_-_Final_Version_-_Nov_20.pdf

Committee Members:

Ping Xu, Dissertation Advisor/Co-Advisor
Ping Xu, Committee Chair/Co-Chair
Adrian Ocneanu, Committee Chair/Co-Chair
Mathieu Philippe Stienon, Committee Member
Luen Chau Li, Committee Member
Martin Bojowald, Committee Member
Alberto Cattaneo, Committee Member

Author:

Grutzmann, Melchior

Title:

Courant algebroids: Cohomology and matched pairs

Graduate Program:

Mathematics

Keywords:

Courant
algebroid
cohomology
matched pairs

File:

Download thesis.pdf

Committee Members:

Ping Xu, Dissertation Advisor/Co-Advisor
Ping Xu, Committee Chair/Co-Chair
Mathieu Philippe Stienon, Committee Chair/Co-Chair
Aissa Wade, Committee Member
Adrian Ocneanu, Committee Member
Luen Chau Li, Committee Member
Martin Bojowald, Committee Member

Author:

Wang, Zhenqi

Title:

LOCAL RIGIDITY OF PARTIALLY HYPERBOLIC ACTIONS

Graduate Program:

Mathematics

Keywords:

Partially hyperbolic actions
cocycle rigidity

File:

Download mythesis.pdf

Committee Members:

Anatole Katok, Dissertation Advisor/Co-Advisor
Anatole Katok, Committee Chair/Co-Chair
Svetlana Katok, Committee Member
Nigel David Higson, Committee Member
Martin Bojowald, Committee Member

Author:

Crisp, Tyrone

Title:

Equivariant Homology and Representation Theory of p-adic Groups

Graduate Program:

Mathematics

Keywords:

Equivariant homology
representation theory of reductive p-adic groups
the Baum-Connes conjecture

File:

Download crisp_psu-thesis.pdf

Committee Members:

Nigel David Higson, Dissertation Advisor/Co-Advisor
Nigel David Higson, Committee Chair/Co-Chair
Paul Frank Baum, Committee Member
Woodrow Dale Brownawell, Committee Member
Martin Bojowald, Committee Member

Author:

Hong, Seunghun

Title:

A Lie-algebraic Approach to the Local Index Theorem on Compact Homogeneous Spaces

Graduate Program:

Mathematics

Keywords:

local index theory
cubic Dirac operator
heat kernel asymptotics
compact homogeneous spaces
quantum Weil algebra

File:

Download Seunghun_Hong_Final_Dissertation_Revised.pdf

Committee Members:

Nigel David Higson, Committee Chair/Co-Chair
Nigel David Higson, Dissertation Advisor/Co-Advisor
John Roe, Committee Member
Ping Xu, Committee Member
Martin Bojowald, Committee Member

Author:

Tseng, Michael C

Title:

Rokhlin Actions on AF $C^*$-algebras and Classifiability

Graduate Program:

Mathematics

Keywords:

Rokhlin Actions
AF $C^*$-algebras
nuclear dimension
classification.

File:

Download MichaelCTseng-Dissertation.pdf

Committee Members:

Nathanial Patrick Brown, Dissertation Advisor/Co-Advisor
Joel H Anderson, Committee Chair/Co-Chair
Nigel David Higson, Committee Member
Martin Bojowald, Committee Member

Author:

Hong, Wei

Title:

Some problems in Poisson geometry

Graduate Program:

Mathematics

Keywords:

(holomorphic) Poisson manifolds
Poisson cohomology
Courant algebroid
hypercomplex structure
holomorphic symplectic structure

File:

Download Hong-Dissertation.pdf

Committee Members:

Ping Xu, Dissertation Advisor/Co-Advisor
Mathieu Philippe Stienon, Committee Member
Nigel David Higson, Committee Member
Adrian Ocneanu, Committee Member
Martin Bojowald, Special Member

Author:

Ji, Xiang

Title:

Deformation Problems In Lie Algebroids And Extended Poisson Geometry

Graduate Program:

Mathematics

Keywords:

Lie algebroid
Lie subalgebroid
extended Poisson manifold
coisotropic submanifold
deformation

File:

Download dissertation.pdf

Committee Members:

Ping Xu, Dissertation Advisor/Co-Advisor
Ping Xu, Committee Chair/Co-Chair
Nigel David Higson, Committee Member
Adrian Ocneanu, Committee Member
Mathieu Philippe Stienon, Committee Member
Martin Bojowald, Committee Member

Author:

Song, Yan Li

Title:

Geometric Quantization, reduction and K-homology

Graduate Program:

Mathematics

Keywords:

geometric quantization
bordism
geometric K-homology
symplectic reduction

File:

Download Yanli-Dissertation.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
Martin Bojowald, Committee Member