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Open Access

Author:: Hawkins, Eli John
Title:: QUANTIZATION OF MULTIPLY CONNECTED MANIFOLDS
Graduate Program:: Mathematics
Keywords:: K-theory
Noncommutative Geometry
Operator Algebras
Quantization
File:: Download mult.pdf
Committee Members:: Nigel David Higson, Committee Chair/Co-Chair
Paul Frank Baum, Committee Member
Victor Nistor, Committee Member
John Collins, Committee Member

Open Access

Author:: Stojanovic, Gordana
Title:: Embeddings With Certain Non-Degeneracy Conditions
Graduate Program:: Mathematics
Keywords:: approxiamtion theory
totally skew embeddings
embedding theory
File:: Download Thesis_GStojanovic.pdf
Committee Members:: Sergei Tabachnikov, Committee Chair/Co-Chair
Mark Levi, Committee Member
Adrian Ocneanu, Committee Member
Jelena Srebric, Committee Member
Diane Marie Henderson, Committee Member

Open Access

Author:: Xue, Guangri
Title:: Numerical Methods for Multiphysics, Multiphase, and Multicomponent Models for Fuel Cells
Graduate Program:: Mathematics
Keywords:: Numerical methods
multiphysics
multicomponent
fuel cell
multiphase
coupling
File:: Download thesis-GuangriXue.pdf
Committee Members:: Jinchao Xu, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Chun Liu, Committee Member
Alberto Bressan, Committee Member
Chao Yang Wang, Committee Member

Open Access

Author:: Kang, Hunseok
Title:: DYNAMICS OF THE LOCAL MAP FOR DISCRETE BRUSSELATOR MODEL
Graduate Program:: Mathematics
Keywords:: Strange Attractor
Eventually Trapping Region
Julia Set
Coupled Map Lattice
Brusselator Model
Traveling Wave Map
File:: Download thesis.pdf
Committee Members:: Yakov B Pesin, Committee Chair/Co-Chair
Mark Levi, Committee Member
Leonid Berlyand, Committee Member
Mark Strikman, Committee Member

Open Access

Author:: Sun, Huan
Title:: AN ENERGETIC VARIATIONAL APPROACH TO MODELING COMPLEX FLUIDS AND ITS NUMERICAL SIMULATIONS
Graduate Program:: Mathematics
Keywords:: PDE
variational techniques
complex fluids
numerical simulations
File:: Download thesis_main.pdf
Committee Members:: Chun Liu And James Brannick, Dissertation Advisor/Co-Advisor
Chun Liu, Committee Chair/Co-Chair
James Joseph Brannick, Committee Chair/Co-Chair
Xiantao Li, Committee Member
Yuxi Zheng, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Ralph H Colby, Committee Member

Open Access

Author:: Todt, Heiko
Title:: Asymptotics of partition functions
Graduate Program:: Mathematics
Keywords:: asymptotics
partitions
File:: Download Heiko_Todt-Dissertation.pdf
Committee Members:: George E Andrews, Dissertation Advisor/Co-Advisor
George E Andrews, Committee Chair/Co-Chair
Ae Ja Yee, Committee Member
James Allen Sellers, Committee Member
Robert Charles Vaughan, Committee Member
Donald Richards, Committee Member

Open Access

Author:: Emerson, Heath W.
Title:: An Example of Non-commutative Poincare Duality Arising from Hyperbolic Dynamics
Graduate Program:: Mathematics
Keywords:: Poincare duality
K-theory
Hyperbolic group
File:: Download mythesis.pdf
Committee Members:: Jorge Pullin, Committee Member
John Roe, Committee Member
Joel H Anderson, Committee Member
Nigel David Higson, Committee Chair/Co-Chair

Open Access

Author:: Li, Hengguang
Title:: ELLIPTIC EQUATIONS WITH SINGULARITIES: A PRIORI ANALYSIS AND NUMERICAL APPROACHES
Graduate Program:: Mathematics
Keywords:: the finite element method
weighted sobolev spaces
singularities
elliptic equations
a priori analysis
the multigrid method
File:: Download HengguangLiDissertation.pdf
Committee Members:: Victor Nistor, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Chair/Co-Chair
Jinchao Xu, Committee Member
Anna L Mazzucato, Committee Member
Corina Stefania Drapaca, Committee Member

Open Access

Author:: Tyurina, Yulia
Title:: Skew Embeddings and Immersions of Manifolds into Euclidean Spaces in Codimension Two
Graduate Program:: Mathematics
Keywords:: skew embedding
skew immersion
Grassman manifold
Grassmanian
File:: Download md.pdf
Committee Members:: Serge Tabachnikov, Committee Chair/Co-Chair
Svetlana Katok, Committee Member
Augustin Banyaga, Committee Member
Aissa Wade, Committee Member
Wojciech Makalowski, Committee Member

Open Access

Author:: Raven, Jeff
Title:: AN EQUIVARIANT BIVARIANT CHERN CHARACTER
Graduate Program:: Mathematics
Keywords:: equivariant kk-theory
chern characters
File:: Download dissertation.pdf
Committee Members:: Paul Frank Baum, Committee Chair/Co-Chair
Nigel David Higson, Committee Member
Victor Nistor, Committee Member
Pablo Laguna, Committee Member

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