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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:

Zhang, Tianyou

Title:

The structure of solutions near a degenerate line for mixed type equations in gas dynamics

Graduate Program:

Mathematics

Keywords:

two-dimensional Riemann problem
pressure gradient equation
2-D steady Euler equations
characteristic analysis

File:

Download 1-TianyouZhang-Dissertation.pdf

Committee Members:

Yuxi Zheng, Dissertation Advisor/Co-Advisor
Alberto Bressan, Dissertation Advisor/Co-Advisor
Kris Jenssen, Committee Member
Gary Stuart Settles, Committee Member
Yuxi Zheng, Committee Chair/Co-Chair
Alberto Bressan, Committee Chair/Co-Chair

Author:

Saadatpour Moghaddam, Assieh

Title:

Dynamic Modeling of Biological and Physical Systems

Graduate Program:

Mathematics

Keywords:

Dynamic modeling
Biological networks
Boolean models
Piecewise linear models

File:

Download AssiehSaadatpour_PhD_Dissertation_Final_2012.pdf

Committee Members:

Reka Z Albert, Dissertation Advisor/Co-Advisor
Mark Levi, Dissertation Advisor/Co-Advisor
Reka Z Albert, Committee Chair/Co-Chair
Mark Levi, Committee Chair/Co-Chair
Andrew Leonard Belmonte, Committee Member
Timothy Reluga, Committee Member
John Fricks, Committee Member

Author:

Zhu, Lin

Title:

Livsic Theorem for cocycles with value in Gl(n,Q_p)

Graduate Program:

Mathematics

Keywords:

Livsic theorem
p-adic field
dynamical systems

File:

Download LinZhu-Dissertation.pdf

Committee Members:

Anatole Katok, Dissertation Advisor/Co-Advisor
Manfred Heinz Denker, Committee Member
Federico Rodriguez Hertz, Committee Member
Sencun Zhu, Committee Member

Author:

Ai , Chong

Title:

effect of tidal dissipation on the motion of celestial bodies

Graduate Program:

Mathematics

Keywords:

tidal effect
tidal dissipation
3-body problem
dynamical systems
celestial bodies
stability

File:

Download Chong_Ai-Dissertation.pdf

Committee Members:

Mark Levi, Dissertation Advisor/Co-Advisor
Mark Levi, Committee Chair/Co-Chair
Sergei Tabachnikov, Committee Member
Diane Marie Henderson, Committee Member
Milton Walter Cole, Committee Member

Author:

Le, Thinh Duc

Title:

NONLOCAL EXTERIOR CALCULUS ON RIEMANNIAN MANIFOLDS

Graduate Program:

Mathematics

Keywords:

nonlocal exterior calculus
nonlocal vector calculus
nonlocal Hodge theory

File:

Download mythesis.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Long Qing Chen, Committee Member
Ping Xu, Committee Member
Mathieu Philippe Stienon, Committee Member

Author:

Misiats, Oleksandr

Title:

Asymptotic analysis of Ginzburg-landau superconductivity model

Graduate Program:

Mathematics

Keywords:

Ginzburg-Landau theory
asymptotics
vortices
degree boundary conditions
vortex pinning

File:

Download misiats_thesis.pdf

Committee Members:

Leonid Berlyand, Dissertation Advisor/Co-Advisor
Alberto Bressan, Committee Member
Anna L Mazzucato, Committee Member
Qiang Du, Committee Member
Sarah Elizabeth Shandera, Special Member

Author:

Siegel, Paul Wilke

Title:

Homological Calculations with the Analytic Structure Group

Graduate Program:

Mathematics

Keywords:

K-theory
Index Theory
Topology
Geometry

File:

Download Paul_Siegel-Dissertation.pdf

Committee Members:

John Roe, Dissertation Advisor/Co-Advisor
Dmitri Yu Burago, Committee Member
Nigel David Higson, Committee Member
Sean Hallgren, Committee Member

Author:

Verma, Manoj

Title:

Representation of integers by a family of cubic forms in seven variables

Graduate Program:

Mathematics

Keywords:

The Hardy-Littlewood method
Representation of integers
Cubic forms.

File:

Download ManojVerma-Dissertation.pdf

Committee Members:

Robert Charles Vaughan, Dissertation Advisor/Co-Advisor
Woodrow Dale Brownawell, Committee Member
Ae Ja Yee, Committee Member
Donald Richards, Special Member

Author:

Zhang, Jingyan

Title:

Shrinking Dimer Dynamics and its Application in Saddle Point Search

Graduate Program:

Mathematics

Keywords:

Saddle point search
transition state
Shrinking Dimer Dynamics
dimer method
nucleation
constrained Shrinking Dimer Dynamics

File:

Download mythesis.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
Alexei Novikov, Committee Member
Zhibiao Zhao, Committee Member
Zikui Liu, Committee Member