¶¶Òõ¶ÌÊÓƵ Boulder Mathematics Theses

Theses

Meredith, Connor Michael
Degree:  Ph.D. 2024
Advisor: Keith Kearnes
 
Knutsen, Erik

Degree:  Ph.D. 2024
Advisor: Agnes Beaudry
 
Wynne, Patrick

Degree: Ph.D. 2024
Advisor: Peter Mayr
 
Chaiser, Rachel

Degree: Ph.D. 2024
Advisor: Robin Deeley
 
 

Campbell, Andrew

Degree:  Ph.D. 2023
Advisor:  Sean O'Rourke

Ornstein, Maya F

Degree:  Ph.D. 2023
Advisor: Joshua Grochow

Bridges, Clifford

Degree: Ph.D. 2023
Advisor: Peter Mayr

Wheeler, Michael James

Degree:  Ph.D. 2023
Advisor: Agnes Szendrei

Quartin, Jonathan

Degree: Ph.D. 2023
Advisor:  Jonathan Wise

Rock, Peter
Degree: Ph.D. 2023
Advisor: Jeanne Clelland
 
Justin Willson

Degree: Ph.D. 2023
Advisor: Richard Green
 

Arpin, Sarah

Degree: Ph.D. 2022
Advisor:  Katherine Stange

DuBeau, Jordan

Degree: Ph.D. 2022
Advisor: Keith Kearnes

Dearborn, Krisztina E

Degree: Ph.D. 2022
Advisor: Sergei Kuznetsov

Stocker, Andrew McDowell

Degree: Ph.D. 2022
Advisor: Robin Deeley

Gagnon, Lucas Roman Kledzik

Degree: Ph.D. 2022
Advisor: Nathaniel Thiem

El Sai, Ezzeddine Hassan

Degree: M.A. 2022
Advisor: Markus Pflaum

Davis, André

Degree: Ph.D. 2022
Advisor: Agnes Beaudry

Ng, Cherry

Degree: Ph.D. 2022
Advisor: Agnes Beaudry

Lotfi, Ali

Degree: Ph.D. 2022
Advisors: Sean O’Rourke and Prof. Julien Langou

van Meter, James R

Degree: Ph.D. 2021
Advisor: Emanual Knill

Li, Ruofan

Degree: Ph.D. 2021
Advisor:  Su-ion Ih

Pinilla, C. E

Degree: Ph.D. 2021
Advisor:  Magdalena Czubak

Balentine, Braden

Degree: Ph.D. 2021
Advisor: Magdalena Czubak

Lu, Shen

Degree: Ph.D. 2021
Advisor: Judith Packer

Thompson, Albany

Degree: Ph.D. 2021
Advisor: Magdalena Czubak

Richard Dyer

Degree: Ph.D. 2021
Advisor: Martin Walter

Martin, Daniel E

Degree:  Ph.D. 2020
Advisor:  Katherine Stange

Sparks, Athena

Degree: Ph.D. 2020
Advisor: Peter Mayr

Bozlee, S. J

Degree: Ph.D. 2020
Advisor: Jonathan Wise

Matson, C. L

Degree: Ph.D. 2020
Advisor: David Grant

Smith, Hanson

Degree: Ph.D. 2020
Advisor: Katherine Stange

Jack, Trevor

Degree: Ph.D. 2020
Advisor: Peter Mayr

Adamyk, Katharine L. M

Degree: Ph.D. 2020
Advisor: Agnes Beaudry

Klotz, Taylor J

Degree: Ph.D. 2022
Advisor: Jeanne Clelland

Matthew Pierson
Degree: Ph.D. 2022
Advisor: Alexander Gorokhovsky
 
Mark Pullins
Degree: Ph.D. 2022
Advisor: Keith Kearnes
 
Zhenhua Wang

Degree: Ph.D. 2022
Advisor: Janos Englander

Khalili, Saeed

Degree: Ph.D. 2019
Advisor: Sergei Kuznetsov

Meredith, Connor

Degree: M.A. 2019
Advisor: Keith Kearnes

Herr, L. S

Degree: Ph.D. 2019
Advisor: Jonathan Wise

Berg, Kevin M

Degree: Ph.D. 2019
Advisor: Keith Kearnes

Schrock, Tyler

Degree: Ph.D. 2019
Advisor: Joshua Grochow

Willis, John

Degree: Ph.D. 2019
Advisor: Jonathan Wise

Hines, Robert

Degree: Ph.D. 2019
Advisor: Katherine Stange

Williams, Noah

Degree: Ph.D. 2019
Advisor: Sean O'Rourke

Belcher, Jonathan

Degree: Ph.D. 2019
Advisor: Markus Pflaum

Healy, A. S

Degree: Ph.D. 2019
Advisor: Alexander Gorokovsky

Lessard, Paul Roy

Degree: Ph.D. 2019
Advisor: Jonathan Wise

Nicole Sanderson
Degree: Ph.D. 2018
Advisor: Carla Farsi
 
 
Nathan Davidoff
Degree: Ph.D. 2018
Advisor: Judith Packer
 

Shriner, Jeffrey Alan

Advisor: Szendrei, Agnes
Degree: Ph.D. 2018
 

Lamar, Jonathan P.    

Advisor: Thiem, Nathaniel
Degree: Ph.D. 2018
 

Frinak, Josh

Advisor: Casalaina-Martin, Sebastian and Dutour Sikiric, Mathieu
Degree: Ph.D. 2018
 

Coston, N. A.

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

Rosenbaum, Ryan M.

 

On the Poles of Mellin Transforms of Spherical Principal Series Whittaker Functions
Advisor: Stade, Eric
Degree: Ph.D. 2017

Washabaugh, Pearce C.

 

The Diffeomorphism Group Approach to Vorticity Model Equations
Advisor: Preston, Stephen and Czubak, Magdalena
Degree: Ph.D. 2017

Parker, Keli Siqueiros

 

Semistable Modular Compactifications of Moduli Spaces of Genus One Curves
Advisor: Wise, Jonathan
Degree: Ph.D. 2017

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

Smith, Kathleen Elise

 

On Minimum Variance Unbiased Estimation of a Power Of an Unknown Scalar or Matrix
Advisor: Kuznetsov, Sergei
Degree: Ph.D. 2017

Moorhead, Andrew Paul

 

Higher Commutator Theory for Congruence Modular Varieties
Advisor: Kearnes, Keith
Degree: Ph.D. 2016

Krupa, Matthew Gregory

 

Differential geometry of projective limits of manifolds
Advisor: Pflaum, Markus J.
Degree: Ph.D. 2016

Shannon, Erica Hilary

 

Computing invariant forms for Lie algebras using heaps
Advisor: Green, Richard M.
Degree: Ph.D. 2016

Parsons, Elizabeth E.

 

Simulation of a Quantum Prime Factoring Algorithm
Advisor: Stange, Katherine
Degree: M.A. 2016

Linman, Julie

 

Minimal functions on the random permutation
Advisor: Szendrei, Agnes
Degree: Ph.D. 2016

Scherer, Charles

 

Maximal Comparable and Incomparable Sets in Boolean Algebras
Advisor: Monk, James D.
Degree: Ph.D. 2016

Havasi, Krisztian

 

Geometric realization of strata in the boundary of the intermediate Jacobian locus
Advisor: Casalaina-Martin, Sebastian
Degree: Ph.D. 2016

Nishikawa, Jared

 

Applications of Cryptographic Hash Functions
Advisor: Black, John
Degree: Ph.D. 2016

Grimes, Matthew

 

Relative Moduli of Vector Bundles and the Log-Minimal Model Program on M¯g
Advisor: Casalaina-Martin, Sebastian
Degree: Ph.D. 2016

Nita, A.

 

Essential Self-Adjointness of the Symplectic Dirac Operators
Advisor: Gorokhovsky, Alexander
Degree: Ph.D. 2016

Zhang, Liang

 

Problems concerning spatial branching particle systems with interaction
Advisor: Englander, Janos
Degree: Ph.D. 2015

Migler, Joseph

 

Determinants in K-theory and operator algebras
Advisor: Gorokhovsky, Alexander
Degree: Ph.D. 2015

Selker, Kevin

 

On some min-max cardinals on Boolean algebras
Advisor: Monk, Don
Degree: Ph.D. 2015

Davison, T. H.

 

Generalizing the Kantorovich Metric to Projection-Valued Measures: With an Application to Iterated Function
Advisor: Packer, Judith
Degree: Ph.D. 2015

Hower, John

 

A Global Symbol for the Small b-Calculus on Manifolds With Boundary
Advisor: Pflaum, Markus
Degree: Ph.D. 2014

Purkis, Benjamin A.

 

Projective Multiresolution Analyses over Irrational Rotation Algebras
Advisor: Packer, Judith
Degree: Ph.D. 2014

Keller, Justin

 

Generalized Supercharacter Theories and Schur Rings for Hopf Algebras
Advisor: Thiem, Nathaniel
Degree: Ph.D. 2014

Feaver, A. F. Amy

 

Euclid's Algorithm in Multiquadratic Fields
Advisor: Stange, Katherine
Degree: Ph.D. 2014

Andrews, Scott D.

 

Type-free approaches to supercharacter theories of unipotent groups
Advisor: Thiem, Nathaniel
Degree: Ph.D. 2014

Wayne, David

 

The K-theory of filtered deformations of graded polynomial algebras
Advisor: Pflaum, Markus
Degree: Ph.D. 2013

Martinez, M. D.

 

The Relative K-theory of an Algebraic Pair
Advisor: Pflaum, Markus
Degree: Ph.D. 2013

McGregor-Dorsey, Zachary Strider

 

Some properties of full heaps
Advisor: Green, Richard M.
Degree: Ph.D. 2013

Wakefield, Nathan Paul

 

Primitive Divisors in Generalized Iterations of Chebyshev Polynomials
Advisor: Ih, Su-Ion
Degree: Ph.D. 2013

Moore, Matthew

 

The Undecidability of the Definability of Principal Subcongruences
Advisor: Kearnes, Keith A.
Degree: Ph.D. 2013

Ma, Chao

 

Qualitative and quantitative analysis of nonlinear integral and differential equations
Advisor: Li, Congming and Preston, Stephen
Degree: Ph.D. 2013

Chriestenson, Bryce

 

The Real Homotopy Type of Singular Spaces via The Whitney-deRham Complex
Advisor: Pflaum, Markus
Degree: Ph.D. 2013

Kish, Jonathan

 

Harmonic analysis on the positive rationals: Multiplicative functions and exceptional dirichlet characters
Advisor: Elliott, Peter D. T. A.
Degree: Ph.D. 2013

Gern, Tyson Charles

 

Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D
Advisor: Green, Richard M.
Degree: Ph.D. 2013

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

Newberry, Patrick

 

Explicit Computation of the Cohomology of a Symbol Algebra
Advisor: Gorokhovsky, A lexander and Fox, Jeffrey S.
Degree: Ph.D. 2012

Chestnut, R. M.

 

Independent Partitions in Boolean Algebras
Advisor: Monk, J. D.
Degree: Ph.D. 2012

Katz-Moses, Benjamin

 

Small Deviations for the β-Jacobi Ensemble
Advisor: Rider, Brian
Degree: Ph.D. 2012

Limburg, Steve

 

Space-time Codes, Non-associative Division Algebras, and Elliptic Curves
Advisor: Grant, David
Degree: Ph.D. 2012

Mesa, C.

 

Getzler Symbol Calculus via Deformation Quantization
Advisor: Gorokhovsky, Alexander
Degree: Ph.D. 2012

Keyes, David Parker

 

Analytic Proofs of Certain MacWilliams Identities
Advisor: Grant, David
Degree: Ph.D. 2011

Harper, Jacob Tyler

 

Homology Representations Arising from a Hypersimplex
Advisor: Green, Richard M.
Degree: Ph.D. 2011

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

Roy, Michael D.

 

Coxeter Group Actions on Complementary Pairs of Very Well-Poised 9F8(1) Hypergeometric Series
Advisor: Stade, Eric
Degree: Ph.D. 2011

Kim, Eun Hyea

 

Giving Spitzer's Zero Range Process a Positive Range
Advisor: Holley, Richard and Kuznetsov, Sergei
Degree: Ph.D. 2011

Sato, Masaya

 

A Classical Technique to Prove the h-Cobordism Theorem
Advisor: Farsi, Carla
Degree: M.A. 2011

Dent, Topaz

 

Clones of Finite Idempotent Algebras with Strictly Simple Subalgebras
Advisor: Szendrei, Agnes
Degree: Ph.D. 2011

Stackpole, Matthew

 

Dynamic Equivalence of Control Systems via Infinite Prolongations
Advisor: Clelland, Jeanne
Degree: Ph.D. 2011

Wiscons, Joshua

 

Moufang sets of finite Morley rank
Advisor: Kearnes, Keith
Degree: Ph.D. 2011

Manley, Kevin W.

 

The discrete Fourier-Riccati-Bessel transform for Robin boundary conditions
Advisor: Stade, Eric
Degree: Ph.D. 2010

Wittenborn, Erika F.

 

On special values of hyperelliptic division polynomials and a formula of Eisenstein
Advisor: Grant, David R.
Degree: Ph.D. 2010

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

Tasset, Tiffany N.

 

Lagrange multipliers for set-valued functions when ordering cones have empty interior
Advisor: Goodrich, Robert K.
Degree: Ph.D. 2010

Kwak, Young Jo

 

Automorphisms of some combinatorially defined Lie algebras over GF(2)
Advisor: Kearnes, Keith
Degree: Ph.D. 2010

Angel, Eitan

 

A geometric construction of cyclic cocycles on twisted convolution algebras
Advisor: Gorokhovsky, Alexander
Degree: Ph.D. 2010

Denoncourt, Hugh

 

Some combinatorial models for reduced expressions in Coxeter groups
Advisor: Green, Richard M. and Thiem, Nathaniel
Degree: Ph.D. 2009

Krieger, Rachel

 

Modified exponential maps and the finite group of unipotent uppertriangular matrices
Advisor: Thiem, Franz N.
Degree: M.A. 2009

Mishev, Ilia D.

 

Coxeter group actions on supplementary pairs of Saalschutzian 4F3(1) hypergeometric series
Advisor: Stade, Eric
Degree: Ph.D. 2009

Kang, Sooran

 

The Yang-Mills functional and Laplace's equation on quantum Heisenberg manifolds
Advisor: Packer, Judith A.
Degree: Ph.D. 2009

Pohlmann, Brent G.

 

Structural properties of acyclic heaps with applications to Kazhdan -Lusztig theory
Advisor: Green, Richard M.
Degree: Ph.D. 2008

McGregor-Dorsey, Zachary Strider

 

Full heaps over Dynkin diagrams of type affine Ä€ 
Advisor: Green, Richard M.
Degree: M.A. 2008

Bruns, Corey T.

 

Variations of independence in boolean algebras
Advisor: Monk, James Donald
Degree: Ph.D. 2008

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

Seguin, Troy

 

Risk measures
Advisor: Gustafson, Karl
Degree: Ph.D. 2008

Ernst, Dana C.

 

A diagrammatic representation of an affine C Temperley -Lieb algebra
Advisor: Green, Richard M.
Degree: Ph.D. 2008

D'Andrea, Jonas

 

Wavelet frames on fractal spaces of Dutkay -Jorgensen type
Advisor: Packer, Judith
Degree: Ph.D. 2008

Formichella, Marc

 

Functional equations among Barnes' integrals and hypergeometric series
Advisor: Stade, Eric
Degree: Ph.D. 2008

Shaw, Jason

 

Commutator relations and the clones of finite groups
Advisor: Szendrei, Agnes
Degree: Ph.D. 2008

Schumacher, Timothy

 

Removable boundary singularities for the equation delta u = u^alpha in non-smooth domains
Advisor: Kuznetsov, Sergei E.
Degree: Ph.D. 2008

Mann, Allen Lawrence

 

Independence-friendly cylindric set algebras
Advisor: Monk, J. Donald
Degree: Ph.D. 2007

Davenport, John D.

 

Analysis of American options
Advisor: Gustafson, Karl
Degree: Ph.D. 2007

Flores, Nicandro

 

Counting directed acyclic graphs and its application to Monte Carlo learning of Bayesian networks
Advisor: Corcoran, Jem N.
Degree: M.A. 2007

Sagullo, Noel M.

 

A Drinfeld analog of the Brownawell -Waldschmidt theorem
Advisor: Tubbs, Robert
Degree: Ph.D. 2007

Nickodemus, M. H.

 

Natural dualities for finite groups with abelian Sylow subgroups
Advisor: Kearnes, Keith
Degree: Ph.D. 2007

Kelley, Samuel Lloyd

 

Bond percolation on the two-dimensional lattice
Advisor: Rider, Brian
Degree: M.A. 2007

Daniel, Michael J.

 

Modular forms on a function field over a finite field
Advisor: Walling, Lynne
Degree: Ph.D. 2007

  • 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

Brown, Christopher Edward

 

Connectedness and reflections in symmetry algebras of differential equations 
Advisor:
Degree: Ph. D. 2004

Cohen, Robert A

 

Construction of an order theoretic duality for certain groups 
Advisor:
Degree: Ph. D. 2004

Nagarajan, Vijay

 

Low-density parity check codes : design, analysis, and complexity issues 
Advisor:
Degree: M.S. 2004

Mitchiner, Yumiko

 

Statistical mechanics of wealth 
Advisor:
Degree: M.A. 2004

Seaton, Christopher W

 

Two Gauss-Bonnet and Poincaré-Hopf theorems for orbifolds with boundary 
Advisor:
Degree: Ph. D. 2004

  • 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).