2018 (4 PhD)

Shriner, Jeffrey Alan

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

Lamar, Jonathan P. Ìý Ìý

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

2017 (6 PhD)

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

2016 (9 PhD, 1 MA)

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 ²Ñ¯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

2015 (4 PhD)

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

2014 (5 PhD)

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

2013 (10 PhD)

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

2012 (5 PhD)

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

2011 (8 PhD, 1 MA)

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

2010 (6 PhD)

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

2009 (3 PhD, 1 MA)

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

2008 (9 PhD, 1 MA)

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 Ā
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

2007 (5 PhD, 2 MA)

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

2006
  • 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).
2005
  • 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).
2004
  • 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

2003
  • 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).
2002
  • 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).