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Open Access

Author:: Saunders, Christopher L.
Title:: FLOER HOMOLOGY FOR ALMOST HAMILTONIAN ISOTOPIES
Graduate Program:: Mathematics
Keywords:: symplectic geometry
Seidel representation
Floer homology
File:: Download final_thesis.pdf
Committee Members:: Augustin Banyaga, Committee Chair/Co-Chair
Ping Xu, Committee Member
Sergei Tabachnikov, Committee Member
Abhay Vasant Ashtekar, Committee Member
Nigel David Higson, Committee Member

Open Access

Author:: Dumitrascu, Constantin Dorin
Title:: A New Approach to Bivariant K-theory
Graduate Program:: Mathematics
Keywords:: associative product
C*-algebras
KK-theory
E-theory
File:: Download t.pdf
Committee Members:: Shyamoli Chaudhuri Plassmann, Committee Member
John Roe, Committee Member
Paul Frank Baum, Committee Member
Nigel David Higson, Committee Chair/Co-Chair

Open Access

Author:: George, Christopher Yousuf
Title:: The Mackey Analogy for SL(n,R)
Graduate Program:: Mathematics
Keywords:: representation theory
Lie groups
File:: Download CYGeorge.pdf
Committee Members:: Nigel David Higson, Dissertation Advisor/Co-Advisor
Nigel David Higson, Committee Chair/Co-Chair
John Roe, Committee Member
Nathanial Patrick Brown, Committee Member
Donald P Schneider, Committee Member

Open Access

Author:: Matsnev, Dmitry Anatolievich
Title:: The Baum-Connes Conjecture and Group Actions on Affine Buildings
Graduate Program:: Mathematics
Keywords:: asymptotic dimension
affine buildings
proper group actions
Novikov conjecture
Baum-Connes conjecture
File:: Download thesis.pdf
Committee Members:: Nigel David Higson, Committee Chair/Co-Chair
John Roe, Committee Member
Victor Nistor, Committee Member
Murat Gunaydin, Committee Member

Open Access

Author:: Genin, Daniel Ilya
Title:: Regular and Chaotic Dynamics of Outer Billiards
Graduate Program:: Mathematics
Keywords:: dynamical systems
outer billiards
hyperbolicity
chaos
piecewise-isometry
complexity
File:: Download thesis.pdf
Committee Members:: Sergei Tabachnikov, Committee Chair/Co-Chair
Mark Levi, Committee Member
Yakov B Pesin, Committee Member
Howard Weiss, Committee Member
Elena Katok, Committee Member
Nigel David Higson, Committee Member

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:: 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:: 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

Open Access

Author:: Van Erp, Johannes
Title:: The Atiyah-Singer Index Formula for Subelliptic Operators on Contact Manifolds
Graduate Program:: Mathematics
Keywords:: Index theory
Hypoelliptic operators
Contact manifolds
File:: Download hypindex.pdf
Committee Members:: Nigel David Higson, Committee Chair/Co-Chair
John Roe, Committee Member
Victor Nistor, Committee Member
Anna L Mazzucato, Committee Member
Murat Gunaydin, Committee Member

Open Access

Author:: Skukalek, John Robert
Title:: On the Higson-Mackey Analogy, Group C*-Algebras, and K-Theory
Graduate Program:: Mathematics
Keywords:: almost connected Lie groups
group representations
operator algebras
Baum-Connes conjecture
Mackey analogy
File:: Download skukalek_thesis_final.pdf
Committee Members:: Nigel David Higson, Dissertation Advisor/Co-Advisor
Nigel David Higson, Committee Chair/Co-Chair
Paul Frank Baum, Committee Member
Nate Brown, Committee Member
Abhay Vasant Ashtekar, Committee Member

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