CU Boulder Mathematics Theses

Shriner, Jeffrey Alan
Hardness Results for the Subpower Membership Problem
Advisor: Szendrei, Agnes
Degree: Ph.D. 2018
 

Lamar, Jonathan P.    
Lattices of Supercharacter Theories
Advisor: Thiem, Nathaniel
Degree: Ph.D. 2018
 

Frinak, Josh
Degeneration of Prym Varieties: A Computational Approach to the Indeterminacy Locus of the Prym Map and Degenerations of Cubic Threefolds
Advisor: Casalaina-Martin, Sebastian and Dutour Sikiric, Mathieu
Degree: Ph.D. 2018
 

Coston, N. A.
Spectral Properties of Products of Independent Random Matrices
Advisor: O'Rourke, Sean
Degree: Ph.D. 2018

Long, Ian
Spectral Hutchinson-3 Measures and Their Associated Operator Fractals
Advisor: Packer, Judith
Degree: Ph.D. 2017
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Rosenbaum, Ryan M. 
On the Poles of Mellin Transforms of Spherical Principal Series Whittaker Functions
Advisor: Stade, Eric
Degree: Ph.D. 2017
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Washabaugh, Pearce C. 
The Diffeomorphism Group Approach to Vorticity Model Equations
Advisor: Preston, Stephen and Czubak, Magdalena
Degree: Ph.D. 2017
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Parker, Keli Siqueiros 
Semistable Modular Compactifications of Moduli Spaces of Genus One Curves
Advisor: Wise, Jonathan
Degree: Ph.D. 2017
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Chhay, Boramey Chhay 
Euler-Arnold Equations on the Contactomorphism Group and Teichmüller Theory
Advisor: Preston, Stephen C. and Clelland, Jeanne N.
Degree: Ph.D. 2017
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Smith, Kathleen Elise 
On Minimum Variance Unbiased Estimation of a Power Of an Unknown Scalar or Matrix
Advisor: Kuznetsov, Sergei
Degree: Ph.D. 2017
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Moorhead, Andrew Paul 
Higher Commutator Theory for Congruence Modular Varieties
Advisor: Kearnes, Keith
Degree: Ph.D. 2017
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Krupa, Matthew Gregory 
Differential geometry of projective limits of manifolds
Advisor: Pflaum, Markus J.
Degree: Ph.D. 2016
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Shannon, Erica Hilary 
Computing invariant forms for Lie algebras using heaps
Advisor: Green, Richard M.
Degree: Ph.D. 2016
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Parsons, Elizabeth E. 
Simulation of a Quantum Prime Factoring Algorithm
Advisor: Stange, Katherine
Degree: M.A. 2016
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Linman, Julie 
Minimal functions on the random permutation
Advisor: Szendrei, Agnes
Degree: Ph.D. 2016
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Scherer, Charles 
Maximal Comparable and Incomparable Sets in Boolean Algebras
Advisor: Monk, James D.
Degree: Ph.D. 2016
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Havasi, Krisztian 
Geometric realization of strata in the boundary of the intermediate Jacobian locus
Advisor: Casalaina-Martin, Sebastian
Degree: Ph.D. 2016
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Nishikawa, Jared 
Applications of Cryptographic Hash Functions
Advisor: Black, John
Degree: Ph.D. 2016
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Grimes, Matthew 
Relative Moduli of Vector Bundles and the Log-Minimal Model Program on M¯_g
Advisor: Casalaina-Martin, Sebastian
Degree: Ph.D. 2016
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Nita, A. 
Essential Self-Adjointness of the Symplectic Dirac Operators
Advisor: Gorokhovsky, Alexander
Degree: Ph.D. 2016
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Zhang, Liang 
Problems concerning spatial branching particle systems with interaction
Advisor: Englander, Janos
Degree: Ph.D. 2015
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Migler, Joseph 
Determinants in K-theory and operator algebras
Advisor: Gorokhovsky, Alexander
Degree: Ph.D. 2015
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Selker, Kevin 
On some min-max cardinals on Boolean algebras
Advisor: Monk, Don
Degree: Ph.D. 2015
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Davison, T. H. 
Generalizing the Kantorovich Metric to Projection-Valued Measures: With an Application to Iterated Function
Advisor: Packer, Judith
Degree: Ph.D. 2015
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Hower, John 
A Global Symbol for the Small b-Calculus on Manifolds With Boundary
Advisor: Pflaum, Markus
Degree: Ph.D. 2014
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Purkis, Benjamin A. 
Projective Multiresolution Analyses over Irrational Rotation Algebras
Advisor: Packer, Judith
Degree: Ph.D. 2014
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Keller, Justin 
Generalized Supercharacter Theories and Schur Rings for Hopf Algebras
Advisor: Thiem, Nathaniel
Degree: Ph.D. 2014
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Feaver, A. F. Amy 
Euclid's Algorithm in Multiquadratic Fields
Advisor: Stange, Katherine
Degree: Ph.D. 2014
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Andrews, Scott D. 
Type-free approaches to supercharacter theories of unipotent groups
Advisor: Thiem, Nathaniel
Degree: Ph.D. 2014
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Wayne, David 
The K-theory of filtered deformations of graded polynomial algebras
Advisor: Pflaum, Markus
Degree: Ph.D. 2013
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Martinez, M. D. 
The Relative K-theory of an Algebraic Pair
Advisor: Pflaum, Markus
Degree: Ph.D. 2013
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McGregor-Dorsey, Zachary Strider 
Some properties of full heaps
Advisor: Green, Richard M.
Degree: Ph.D. 2013
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Wakefield, Nathan Paul 
Primitive Divisors in Generalized Iterations of Chebyshev Polynomials
Advisor: Ih, Su-Ion
Degree: Ph.D. 2013
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Moore, Matthew 
The Undecidability of the Definability of Principal Subcongruences
Advisor: Kearnes, Keith A.
Degree: Ph.D. 2013
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Ma, Chao 
Qualitative and quantitative analysis of nonlinear integral and differential equations
Advisor: Li, Congming and Preston, Stephen
Degree: Ph.D. 2013
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Chriestenson, Bryce 
The Real Homotopy Type of Singular Spaces via The Whitney-deRham Complex
Advisor: Pflaum, Markus
Degree: Ph.D. 2013
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Kish, Jonathan 
Harmonic analysis on the positive rationals: Multiplicative functions and exceptional dirichlet characters
Advisor: Elliott, Peter D. T. A.
Degree: Ph.D. 2013
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Gern, Tyson Charles 
Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D
Advisor: Green, Richard M.
Degree: Ph.D. 2013
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Cong, Cui 
Implicit Space-Time Domain Decomposition Methods for Stochastic Parabolic Partial Differential Equations
Advisor: Cai, Xiao-Chuan and Gustafson, Karl
Degree: Ph.D. 2013
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Newberry, Patrick 
Explicit Computation of the Cohomology of a Symbol Algebra
Advisor: Gorokhovsky, A lexander and Fox, Jeffrey S.
Degree: Ph.D. 2012
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Chestnut, R. M. 
Independent Partitions in Boolean Algebras
Advisor: Monk, J. D.
Degree: Ph.D. 2012
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Katz-Moses, Benjamin 
Small Deviations for the β-Jacobi Ensemble
Advisor: Rider, Brian
Degree: Ph.D. 2012
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Limburg, Steve 
Space-time Codes, Non-associative Division Algebras, and Elliptic Curves
Advisor: Grant, David
Degree: Ph.D. 2012
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Mesa, C. 
Getzler Symbol Calculus via Deformation Quantization
Advisor: Gorokhovsky, Alexander
Degree: Ph.D. 2012
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Keyes, David Parker 
Analytic Proofs of Certain MacWilliams Identities
Advisor: Grant, David
Degree: Ph.D. 2011
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Harper, Jacob Tyler 
Homology Representations Arising from a Hypersimplex
Advisor: Green, Richard M.
Degree: Ph.D. 2011
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Noyes, Michael 
Spectral Properties of the General Beta-Hermite and Beta-Laguerre Ensembles in the Limit Beta going to Infinity
Advisor: Rider, Brian
Degree: Ph.D. 2011
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Roy, Michael D. 
Coxeter Group Actions on Complementary Pairs of Very Well-Poised 9F8(1) Hypergeometric Series
Advisor: Stade, Eric
Degree: Ph.D. 2011
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Kim, Eun Hyea 
Giving Spitzer's Zero Range Process a Positive Range
Advisor: Holley, Richard and Kuznetsov, Sergei
Degree: Ph.D. 2011
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Sato, Masaya 
A Classical Technique to Prove the h-Cobordism Theorem
Advisor: Farsi, Carla
Degree: M.A. 2011
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Dent, Topaz 
Clones of Finite Idempotent Algebras with Strictly Simple Subalgebras
Advisor: Szendrei, Agnes
Degree: Ph.D. 2011
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Stackpole, Matthew 
Dynamic Equivalence of Control Systems via Infinite Prolongations
Advisor: Clelland, Jeanne
Degree: Ph.D. 2011
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Wiscons, Joshua 
Moufang sets of finite Morley rank
Advisor: Kearnes, Keith
Degree: Ph.D. 2011
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Manley, Kevin W. 
The discrete Fourier-Riccati-Bessel transform for Robin boundary conditions
Advisor: Stade, Eric
Degree: Ph.D. 2010
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Wittenborn, Erika F. 
On special values of hyperelliptic division polynomials and a formula of Eisenstein
Advisor: Grant, David R.
Degree: Ph.D. 2010
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Newhall, J. F. 
On the density of the Henig efficient points of asymptotically compact sets in locally convex vector spaces
Advisor: Goodrich, Robert K.
Degree: Ph.D. 2010
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Tasset, Tiffany N. 
Lagrange multipliers for set-valued functions when ordering cones have empty interior
Advisor: Goodrich, Robert K.
Degree: Ph.D. 2010
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Kwak, Young Jo 
Automorphisms of some combinatorially defined Lie algebras over GF(2)
Advisor: Kearnes, Keith
Degree: Ph.D. 2010
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Angel, Eitan 
A geometric construction of cyclic cocycles on twisted convolution algebras
Advisor: Gorokhovsky, Alexander
Degree: Ph.D. 2010
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Denoncourt, Hugh 
Some combinatorial models for reduced expressions in Coxeter groups
Advisor: Green, Richard M. and Thiem, Nathaniel
Degree: Ph.D. 2009
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Krieger, Rachel 
Modified exponential maps and the finite group of unipotent uppertriangular matrices
Advisor: Thiem, Franz N.
Degree: M.A. 2009
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Mishev, Ilia D. 
Coxeter group actions on supplementary pairs of Saalschutzian 4F3(1) hypergeometric series
Advisor: Stade, Eric
Degree: Ph.D. 2009
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Kang, Sooran 
The Yang-Mills functional and Laplace's equation on quantum Heisenberg manifolds
Advisor: Packer, Judith A.
Degree: Ph.D. 2009
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Pohlmann, Brent G. 
Structural properties of acyclic heaps with applications to Kazhdan -Lusztig theory
Advisor: Green, Richard M.
Degree: Ph.D. 2008
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McGregor-Dorsey, Zachary Strider 
Full heaps over Dynkin diagrams of type affine Ā 
Advisor: Green, Richard M.
Degree: M.A. 2008
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Bruns, Corey T. 
Variations of independence in boolean algebras
Advisor: Monk, James Donald
Degree: Ph.D. 2008
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Radhakrishnan, Vinod 
An asymptotic formula for the number of non-Serre curves in a two-parameter family of elliptic curves
Advisor: Grant, David
Degree: Ph.D. 2008
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Seguin, Troy 
Risk measures
Advisor: Gustafson, Karl
Degree: Ph.D. 2008
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Ernst, Dana C. 
A diagrammatic representation of an affine C Temperley -Lieb algebra
Advisor: Green, Richard M.
Degree: Ph.D. 2008
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D'Andrea, Jonas 
Wavelet frames on fractal spaces of Dutkay -Jorgensen type
Advisor: Packer, Judith
Degree: Ph.D. 2008
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Formichella, Marc 
Functional equations among Barnes' integrals and hypergeometric series
Advisor: Stade, Eric
Degree: Ph.D. 2008
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Shaw, Jason 
Commutator relations and the clones of finite groups
Advisor: Szendrei, Agnes
Degree: Ph.D. 2008
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Schumacher, Timothy 
Removable boundary singularities for the equation delta u = u^alpha in non-smooth domains
Advisor: Kuznetsov, Sergei E.
Degree: Ph.D. 2008
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Mann, Allen Lawrence 
Independence-friendly cylindric set algebras
Advisor: Monk, J. Donald
Degree: Ph.D. 2007
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Davenport, John D. 
Analysis of American options
Advisor: Gustafson, Karl
Degree: Ph.D. 2007
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Flores, Nicandro 
Counting directed acyclic graphs and its application to Monte Carlo learning of Bayesian networks
Advisor: Corcoran, Jem N.
Degree: M.A. 2007
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Sagullo, Noel M. 
A Drinfeld analog of the Brownawell -Waldschmidt theorem
Advisor: Tubbs, Robert
Degree: Ph.D. 2007
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Nickodemus, M. H. 
Natural dualities for finite groups with abelian Sylow subgroups
Advisor: Kearnes, Keith
Degree: Ph.D. 2007
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Kelley, Samuel Lloyd 
Bond percolation on the two-dimensional lattice
Advisor: Rider, Brian
Degree: M.A. 2007
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Daniel, Michael J. 
Modular forms on a function field over a finite field
Advisor: Walling, Lynne
Degree: Ph.D. 2007
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• Sheila Miller, Free Left-Distributive Algebras (R. Laver).
• Noel Sagullo, A Drinfeld Analog of the Brownawell-Waldschmidt Theorem (R. Tubbs).
• Christopher Catone, Projective Equivalence of Finsler and Riemannian Surfaces (J. Clelland).
• Amy Chambers, Certain Subalgebras of the Tensor Product of Graph Algebras (J. Packer).
• Abdulaziz Deajim, On Non-associative Division Algebras Arising from Elliptic Curves (D. Grant).
• Veronika Furst, A Characterization of Semiorthogonal Parseval Wavelets in Abstract Hilbert Spaces (L. Baggett).

• Jennifer Horne, Cardinal Functions on Pseudo-Tree Algebras and a Generalization of Homogeneous Weak Density (J. Monk).
• John Massman, Applications of Algebraic Geometry to error-Correcting codes (D. Grant).
• Erich McAlister, Noncommutative CW-Complexes Arising From Discrete Groups and Their K-Theory (C. Farsi).

• Christopher Brown, Connectedness and Reflections in Symmetry Algebras of Differential Equations (A. Ramsay).
• Robert Cohen, Construction of an Order Theoretic Duality for Certain Groups (M. Walter).
• William Kirwin, Coherent States and Geometric Quantization (S. Wu).
• Christopher Seaton, Two Gauss-Bonnet and Poincare-Hopf Theorems for Orbifolds with Boundary (C. Farsi).

Kirwin, William D 
Coherent states and geometric quantization 
Advisor:
Degree: Ph. D. 2004
CU Boulder Library record

Brown, Christopher Edward 
Connectedness and reflections in symmetry algebras of differential equations 
Advisor:
Degree: Ph. D. 2004
CU Boulder Library record

Cohen, Robert A 
Construction of an order theoretic duality for certain groups 
Advisor:
Degree: Ph. D. 2004
CU Boulder Library record

Nagarajan, Vijay 
Low-density parity check codes : design, analysis, and complexity issues 
Advisor:
Degree: M.S. 2004
CU Boulder Library record

Mitchiner, Yumiko 
Statistical mechanics of wealth 
Advisor:
Degree: M.A. 2004
CU Boulder Library record

Seaton, Christopher W 
Two Gauss-Bonnet and Poincaré-Hopf theorems for orbifolds with boundary 
Advisor:
Degree: Ph. D. 2004
CU Boulder Library record

• Christopher Rowe, Coates-Wiles Towers for CM Abelian Varieties (D. Grant).
• Bret Simon, Torsion Points on a Theta Divisor in the Jacobian of a Fermat Quotient (D. Grant).

• Suzanne Caulk, Explicit Action of Hecke Operators on Hilbert-Siegel Modular Forms (L. Walling).
• Douglas Norris, Optimal Solutions to the L-infinity Moment Problem with Lattice Bounds (R. Goodrich).
• David Tuller, Some Questions in Additive Number Theory (W. Schmidt).