Skip to main content
People
Map
Close
myUK
College of Arts & Sciences
Mathematics
User login
Username
*
Password
*
About
Chair's Message
Map & Directions
Chair & Directors
Committees
Community Outreach
Conferences
Directory
Faculty
Staff
Graduate Students
Department Policies
Newsletter
Where Can Math take me?
Features
Dr. J.C. Eaves Legacy
Explore Mathematics
Undergraduates
100 Level Courses
Admissions
Advising
Contact Information
Courses
Information for Majors
Major Requirements
Minor Requirements
Mathematical Economics
University Scholars Program
Education Abroad
Student Code of Conduct
STEMCats
Living Learning Programs
Mathskeller
Graduates
About Graduate Study at UK
Information for Prospective Graduate Students
Information for Incoming Graduate Students
Information for Current Graduate Students
Contact Information
Graduate Degrees Awarded since 1973
Graduate Student Directory
Faculty Research
Algebra and Number Theory
Analysis and Partial Differential Equations
Applied and Computational Mathematics
Discrete Mathematics
Topology and Geometry
A&S
Make a Gift
Mathematics Graduate Program
About Graduate Study at UK
Information for Prospective Graduate Students
Information for Incoming Graduate Students
Information for Current Graduate Students
Contact Information
Graduate Degrees Awarded (Doctoral Degrees)
Master's Degrees Awarded
Graduate Scholars in Mathematics (GSM)
Graduate Degrees Awarded (Doctoral Degrees)
Share this page:
Doctoral Degrees
August 2021
Cook-Powell, Kaelin (D. Jensen)
A Tropical Approach to the Brill-Noether Theory Over Hurwitz Spaces
Duncan, Drew (D. Leep)
Solubility of Additive Forms over Local Fields
Lehmann, Hunter (H. Gluesing-Luerssen)
Weight Distributions, Automorphisms, and Isometries of Cyclic Orbit Codes
Vindas Meléndez, Andrés R. (B. Braun)
Combinatorial Invariants of Rational Polytopes
May 2021
Blevins, Deborah (D. Leep)
The Smallest Solution of an Isotropic Quadratic Form
Perez-Lavin, Darleen (D. Leep)
The Plus-Minus Davenport Constant of Finite Abelian Groups
White, Jay (U. Nagel)
Maximums of Total Betti Numbers in HIlbert Families
December 2020
Klipfel, Joel (P. Perry)
The Direct Scattering Map for the Intermediate Long Wave Equation
August 2020
Maduranga, Kehelwala Dewage Gayan (Q. Ye)
Unitary and Symmetric Structure in Deep Neural Networks
Sahajpal, Nandita (D. Leep)
Simultaneous Zeros of a System of Two Quadratic Forms
Trok, William (U. Nagel)
Geometry of Linear Subspace Arrangements with Connections to Matroid Theory
May 2020
Brodie, Benjanim (P. HIslop)
Eigenvalue Statistics and Localization for Random Band Matrices with Fixed Width and Wegner Orbital Model
Clark, Shane (K. Ponto)
Periodic Points on Tori: Vanishing and Realizability
Helfrich, Kyle (Q. Ye)
Orthogonal Recurrent Neural Networks and Batch Normalization in Deep Neural Networks
Maraj, Aida (U. Nagel)
Algebraic and Geometric Properties of Hierarchical Model
Petrik, Rachel (D. Leep)
Solutions to Systems of Equations over Finite Fields
Sawyer, Kalila (D. Jensen
Scrollar Invariants of Tropical Chains of Loops
Vega, Julianne (B. Braun)
Graph-Theoretic Simplicial Complexes, Hajos-type Constructions, and k-Matchings
December 2019
Al Ghafli, Maryam Ali (P. Hislop)
An Inverse Eigenvalue Problem for the Schrödinger Equation on the Unit Ball of R^3
August 2019
Antrobus, Jared, (H. Gluesing-Luerssen)
The State of Lexicodes and Ferrers Diagram Rank-Metric Codes
Slye, Jeffery (D. Royster)
Undergraduate Mathematics Students' Connections Between Their Group Homomorphisms and Linear Transformation Concept Images
Zhuge, Jinping (Z. Shen)
Boundary Layers in Periodic Homogenization
May 2019
Bray, Kasey (Q. Ye)
On the Role of Ill Conditioning: Biharmonic Eigenvalue Problem and Multigrid Algorithms
Davis, Brian (B. Braun)
Lattice Simplices: Sufficiently Complicated
Chandrasekhar, Karthik (R. Ehrenborg)
Bounding the Number of Compatible Simplices in Higher Dimensional Tournaments
Lytle, George (P. Perry)
Approximations in Reconstructing Discontinuous Conductivities in the Calderon Problem
Pllaha, Tefjol (H. Gluesing-Luerssen)
Equivalence of Classical and Quantum Codes
December 2018
Willmott, Devin (Q. Ye)
Recurrent Neural Networks and Their Applications to RNA Secondary Structure Inference
August 2018
Sang, Yucong (C.Man)
A Representation Theorem for Material Tensors of Textured Thin Sheets with Weak Planar Anistoph
Zhao, Ding (C.Man)
Spherulitic Growth and Thermodynamic Equilibrium in Multicomponent Elastic Films Under Solvent-vapor Annealing
May 2018
Deterding, Stephen (J. Brennan)
Bounded Point Derivations on Certain Function Spaces
Happ, Alexander (R. Ehrenborg)
A Combinatorial Miscellany: Antipodes, Parking Cars, and Descent Set Powers
Meyer, Marie (B. Braun)
Polytopes Associated to Graph Laplacians
Olsen, McCabe (B. Braun)
Hilbert Bases, Descent Statsitics, and Combinatorial Semigroup Algebras
Russell, Chase (Z. Shen)
Homogenization in Perforated Domains and with Soft Inclusions
August 2017
Liu, Jaiqi (P. Perry)
Global Well-Posedness for the Derivative Nonlinear
Schrödinger
Equation Through Inverse Scattering
May 2017
Barnard, Kristen (C. Lee)
Some Take-Away Games on Discrete Structures
Harney, Isaiah (H. Gluesing-Luerssen)
Colorings of Hamming-Distance Graphs
Hedmark, Dustin (R. Ehrenborg)
The Partition Lattice in Many Guises
Hough, Wesley (B. Braun)
On Independence, Matching, and Homomorphism Complexes
Lindgren, Joseph (P. Hislop)
Orbital Stability of Solitons Solving Non-Linear Schrödinger Equations in an External Potential
Schreffler, Morgan (R. Brown)
Approximation of Solutions to the Mixed Dirichlet-Neumann Boundary Value Problem on Lipschitz Domains
Sordo Vieira, Luis (D. Leep)
On P-ADIC Fields and P-Groups
Wolf, Robert (P. Hislop)
Compactness of Isoresonant Potentials
August 2016
Croyle, Laura (R. Brown)
Solutions to the L^p Mixed Boundary Value Problem in C^ {1,1} Domains
Gu, Shu (Z. Shen)
Homogenization of Stokes Systems With Periodic Coefficients
Mosley, John (S. Ochanine)
In Search of a Image Class of Representatives for SU-Cobordism Using the Witten Genus
Music, Michael (P. Perry)
Inverse Scattering For The Zero-Energy Novikov-Veselov Equation
Zhang, Yaowei (R. Brown)
The Bourgain Spaces and Recovery of Magnetic and Electric Potentials of Schrödinger Operators
May 2016
Cai, Yue (M. Readdy)
New Perspectives of Quantum Analogues
Constable, Jonathan (D. Leep)
Kronecker's Theory of Binary Bilinear Forms with Applications to Representations of Integers as Sums of Three Squares
Fogarty, Neville (H. Gluesing-Luerssen)
On Skew-Constacyclic Codes
Nelson, Sarah (C. Lee)
Flag f-Vectors of Polytopes with Few Verticies
December 2015
Liang, Qiao (Q. Ye)
Singular Value Computation and Subspace Clustering
Solus, Liam (B. Braun)
Polyhedral Problems in Combinatorical Convex Geometry
Wang, Hao (Q. Ye)
The Krylov Supspace Methods for the Computation of Matrix Exponentials
May 2015
Armenoff, Nicholas (U. Nagel)
Free Resolutions Associated to Representable Matroids
Davis, Robert (B. Braun)
Unimodality Questions in Ehrhart Theory
Fox, Norman (R. Ehrenborg)
Combinatorial Potpourri: Permutations, Products, Posets and Pfaffians
Robinson, William (U. Nagel)
Determinantal Ideals from Symmetrized Skew Tableaux
Taylor, Clifford (C. Lee)
Deletion-Induced Triangulations
Troha, Carolyn (H. Gluesing-Luerssen)
Analysis and Constructions of Subspace Codes
December 2014
Brewer, Thomas Scott (E. Enochs)
Algebraic Properties of Formal Power Series Composition
Camacho, Fernando (A. Demlow)
A Posteriori Error Estimates for Surface Finite Element Methods
Du, Wenwen (C. Man)
Material Tensors and Pseudotensors of Weakly-Textured Polycrystals With Orientation Measure Defined on the Orthogonal Group
August 2014
Saxton, Aaron (P. Hislop)
Decay Estimates on Trace Norms of Localized Functions of Schrödinger Operators
May 2014
Akman, Murat (J. Lewis)
On The Dimension of a Certain Measure Arising From a Quasilinear Elliptic PDE
Gier, Megan (P. Hislop)
Eigenvalue Multiplicities of the Hodge Laplacian on Coexact 2-Forms For Generic Metrics on 5-Manifolds
Gunturkun, Sema (U. Nagel)
Homogeneous Gorenstein Ideals and Boij-Soderberg Decompositions
Hines, Clinton (S. Ochanine)
Spin Cobordism and Wedge Quasitoric Manifolds
Kremer, Ray (E. Enochs)
Homological Algebra with Filtered Modules
Monday, Casey (E. Enochs)
A Characterization of Serve Classes of Reflective Modules Over a Complete Local Noetherian Ring
Ozbek, Furuzan (E. Enochs)
Subfunctors of Extension Functors
Sturgeon, Stephen (U. Nagel)
Boij-Soderberg Decompositions, Cellular Resolutions, and Polytopes
August 2013
Dailey, Megan (Q. Ye)
Relative Pertubation Theory for Diagonally Dominant Matrices
Huang, Tao (C. Wang)
Regularity and Uniqueness of Some Geometric Heat Flows and Its Applications
May 2013
Walker, Ryan (P. Perry)
On a Paley-Wiener Theorem for the ZS-AKNS Scattering Transform
Wilfong, Andrew (S. Ochanine)
Toric Varieties and Cobordism
August 2012
Hineman, Jay (C. Wang)
The Hydrodynamic Flow of Nematic Liquid Crystals in Three Dimensions
May 2012
Barra, Aleams (H. Gluesing-Luerssen)
Equivalence Theorems and the Local-Global Property
Cook, II, David W. (U. Nagel)
Lefschetz Properties and Enumerations
Jung, JiYoon (R. Ehrenborg)
Analytic and Topological Combinatorics of Partition Posets and Permutations
Mattingly, Christopher (J. Brennan)
Rational Approximation on Compact Nowhere Dense Sets
Moore, Dennis (U. Nagel)
Hilbert Polynomials and Strongly Stable Ideals
Weaver, Elizabeth (H. Gluesing-Luerssen)
Minimality and Duality of Tail-biting Trellises for Linear Codes
August 2011
Geng, Jun (Z. Shen)
Elliptic Boundary Value Problems on Non-Smooth Domains
Kirby, Nicholas (M. Jabbour)
Modeling, Analysis and Simulation of Discrete-Continuum Maths of Step-Flow Epitaxy: Bunching Instabilities and Continuum Limits
Zhi, Weifeng (Q. Ye)
Spectral Analysis of Nonlinear Dimensionality Reduction Methods
May 2011
Clark, Eric (R. Ehrenborg)
Combinatorical Aspects of Excedances and the Frobenius Complex
Steil, Laura (D. Leep)
Isometry Classes of Quadratic Forms Defined Over P-Adic Rings
Taylor, Justin (R. Brown)
Convergence of Eigenvalues for Elliptic Systems on Domains with Thin Tubes and Green Functions for the Mixed Problem
Zeckner, Matthew (C. Lee)
Topological and Combinatorical Properties of Neighborhood and Chessboard Complexes
August 2010
Deb, Dibyajyoti (D. Leep)
Diagonal Forms and the Rationality of the Poincare Series
Wells, Daniel J. (C. Lee)
General Flips and the CD-Index
May 2010
Ho, Phuoc (P. Hislop)
Upper Bounds on the Splitting of Eigenvalues
Militzer, Erin (J. Brennan)
L
^{p}
Bounded Point Evaluations for Polynomials and Uniform Rational Approximation
Roberts, Joshua (M. Anton)
Low Dinmensional Group Homology--Alogrithms for Upper Bounds and Generators
December 2009
Miker, Julie (P. Hislop)
Eigenvalue Inequalities for a Family of Spherically Symmetric Reimannian Manifolds
Zhang, Ping (Q. Ye)
Iterative Methods for Computing Eigenvalues and Exponentials of Large Matrices
August 2009
Kilty, Joel (Z. Shen)
L
^{p}
Boundary Problems of Lipschitz Domains
Nie, Zhongyi (R. Brown)
Estimates for a Class of Multi-Linear Forms
Wells, Matthew (R. Millman)
Aspects of the Geometry of Metrical Connections
May 2009
Brown, Tricia Muldoon (M. Readdy)
Rees Products of Posets and Inequalities
Chifman, Julia (J. Beidleman)
Direct Products and the Intersection Map of Certain Classes of Finite Groups
Kahn, Eric (M. Anton and E. Enochs)
The Generalized Burnside and Representation Rings
December 2008
Schmidt, Jack (E. Enochs)
Rewriting Systems for Efficient Computation of Group Cohomology
August 2008
Bouchat, Rachelle (U. Nagel)
Algebraic properties of edge ideals
Busse, Phillip (U. Nagel)
Multivariate list decoding of evaluation codes with a Gröbner basis perspective
Butcher, Gene (E. Enochs)
A study of projective complexes
Frayer, Christopher (P. Perry)
Scattering with Singular Miura Potentials on the Line
Jiang, Teng (C. Wang)
Minimizing
L*
Variational Problems with the Dirichlet Energy Constraint
Nicolas, Carlos (C. Lee)
Structural and Enumerative Properties of k-Triangulations of the n-Gon
Stokes, Erik (U. Nagel)
The h-Vectors of Matroids and the Arithmetic Degree of Squarefree Strongly Stable Ideals
May 2008
Clift, Shawn (E. Enochs)
Generalized Witt Vectors
Godefroy, Hugh Allen Prescott (C. Man)
A Study of Orientation Maps: Crystallographic Symmetry, Mean Orientation and Applications
Kiteck, Daniel (E. Enochs)
Covers of Models
Petrovic, Sonja (U. Nagel)
Algebraic and Combinatorial Properties of Certain Toric Ideals in the Theory and Applications
Slone, Michael (R. Ehrenborg)
Homological Combinatorics and Extensions of the CD-Index
December 2007
Shin Kim, Aekyoung (Z. Shen)
The L^p Neumann Problem for Laplace's Equation on Convex Domains
Zhang, Wei (R. Li)
GMRES on a Tridiagonal Toeplitz Linear System
December 2006
Bennewitz, Bjorn (J. Lewis)
Non-Uniqueness in a Free Boundary Problem
Shin, Yuho (P. Perry)
Geodesics of a Two-Step Nilpotent Group
May 2006
Money, James (S. H. Kang)
Variational Methods for the Image Deblurring and Discretized Picard's Method
August 2006
Daniel Pinzon (V. Gorbounov)
Vertex Algebras and Strongly Homotopy Lie Algebras
December 2005
Quillen, Pat (Q. Ye)
Generalizations of an Inverse Free Krylov Subspace Method for the Symmetric Generalized Eigenvalue Problem
August 2005
Iacob, Alina (E. Enochs)
Generalized Tate Cohomology
Nedeva, Todorka (E. Enochs)
Rings of Power Series in the Binomial Polynomials
May 2005
Elliott, Stephen (T. Chapman)
Simple Homotopy Theory for Cell Complexes
Sharrow-Pinzon, Kathy (E. Enochs)
Absolutely Pure Modules
Ragland, Matthew (J. Beidleman)
On Generalizations of Finite Groups in which Normality is a Transitive Relation
Stepp, Elizabeth (C. Eberhart)
Large Whitney Levels and Closed Antichains
Wesley, Molly (E. Enochs)
Torsion Free Covers of Graded and Filtered Modules
December 2004
Noble, Leigh (C. Man)
Recovery of Through-Thickness Texture Profiles in Orthorhombic Sheets of Cubic Metals by Resonance Spectroscopy
August 2004
Dobranski, Michael (R. Brown)
Construction of Exponentially Growing Solutions of First-Order Systems with Non-Local Potentials
Hoffnung, Leonard (Q. Ye)
Subspace Projection Methods for the Quadratic Eigenvalue Problem
Kovacs, Steve (L. Harris)
Invertibility Preserving Maps of C^*-Algebras
May 2004
Bendall, Gareth (F. Margot and C. Lee)
Domination Analysis Beyond the Traveling Salesman Problem
Goodloe, Mary (T. Suffridge)
Hadamard Products of Convex Harmonic Mappings
Menzel, Matt (C. Lee)
Generalized Sewing Construction for Polytopes
Mueller, Stacey (T. Suffridge)
Harmonic Mappings and Solutions of a Differential Equation Related to de la Vallee Poussin Means
August 2003
Ishizuka, Wataru (C. Wang and L. Harris)
The Weak Compactness and Regularity of Weakly Harmonic Maps
Riehemann, Robert (C. Lee)
Subset Take-Away on Graphs
May 2003
Robbins, Jakayla (C. Lee)
On Orientations of the Free Spikes
Schmidt, Laura (C. Lee)
On
f
-vectors of Regular Triangulations
Walters, Karen (C.C. Douglas and C. Lee)
Variable Order Cascadic Multigrid
August 2002
Bullock, Christopher (E. Enochs)
Chain Numbers of Modules
Huang, Mojia (C. Man)
A Statistical Continuum Theory on Constitutive Relations of Elastic Polycrystal
Motley, Mark (D. Leep)
Isomorphism Classes of Elliptic and Hyperelliptic Function Fields
May 2002
Davis, Anna (T. Chapman)
A Relative Version of the Finiteness Obstruction Theory of Wall
Sills, Andrew (G. Andrews and A. Sathaye)
Computer-Assisted Explorations of Rogers-Ramanujan Type Identities
August 2001
Morgan, Christopher (T. Suffridge)
On Univalent Harmonic Mappings
Sullivan, Sharon (D. Leep)
Examples of Combinatorial Designs
December 2000
Fast, Jody (S. Ochanine)
The Beta Genus of Spin Hypersurfaces
Fournelle, Connie (C. Lee)
Covering Units of Aperiodic Tilings
Hu, Jonathan (C. Douglas and T. Hayden)
Cache Based Multigrid on Unstructured Grids in Two and Three Dimensions
August 2000
Contenza, Theresa (C. Lee)
Some Results on the Dominating Set Polytope
Dempsey, David (E. Enochs)
Functors and the Preservation of Covers and Envelopes
Kowalski, Thomas (Z. Bai)
Extracting a Few Desired Eigenpairs of Symmetric Indefinite Matrix Pencil
Sagandykov, Makhmud (E. Enochs)
Homological Structures of Transformation Groups
Varbalow, Julia (E. Enochs)
Injective and Projective Representations of Quivers
May 2000
Aldrich, Stephen Tempest (E.. Enochs)
Exact and Semisimple Differential Graded Algebras and Modules
Aossey, Cynthia Ann (C. Vuskovic and C. Lee)
3PC(. , .)-Free Berge Graphs are Perfect
Bevelacqua, Anthony Joseph (D. Leep)
Isotropy of 4-dimensional torsion quadratic forms over F(x , y) for certains fields F
Lutzer, Carl Victor (P. Hislop)
On the Extraction of Topological and Geometric Data from the Spectrum of the Dirichlet to Neumann Operator
Zaman, Naveed (E. Enochs)
Minimal Generators
August 1999
Faulkner, Martye Leanne (D. Coleman)
Engel Properties for Modular Group Algebras
Riley, Douglas A. (P. Perry)
Global Existence of Strong Solutions to the Three Dimensional Incompressible Navier-Stokes Equations with Special Boundary Conditions
Sykes, Jeffery D. (R. Brown)
Regularity of Solutions of the Mixed Boundary Problem for Laplace's Equation on a Lipschitz Graph Domain
Skipper, Daphne (J. Lee)
Combinatorial Scheduling Models
May 1999
Weber, Wendy (C. Lee)
Recovering Triangulations of Convex Polytopes
Kuchenbrod, John Allen (J. Lee)
Extremal Problems on Weighted Graphs
Muir, Jerry R. Jr., (T. Suffridge)
Linear and Holomorphic Idempotents and Retracts in the Open Unit Ball of a Commutative C*-algebra with Identity
December 1998
Fahey, Mark, (Z. Bai)
Numerical Computation of Quadratic Forms Involving Large Scale Matrix Functions
August 1998
Simmons, Scott (S. Ochanine)
Homogeneous Dirac Operators and Representation Theory
Starr, Colin (D. Leep)
Sums of Squares of Polynomials in
R
[
x1,...,xn
]
May 1998
Aitbayev, Abdulrakhim (B. Bialecki and G. Fairweather)
Orthogonal Spline Collocation for Nonlinear Elliptic Boundary Value Problems
Aubuchon, Christopher (E. Enochs)
A Functor from the Category of Complexes of Left R-Modules to the Category of Left R-Modules
Galloy, Michael D. (T. Suffridge)
Harmonic Univalent Mappings on the Unit Disk and the Punctured Unit Disk
Li, Bingkun (G. Fairweather and B. Bialecki)
Discrete-time Orthogonal Spline Collocation Methods for Schrödinger-type Problems
Paroni, Roberto (C. Man)
Homogenization of Polycrystalline Materials
Thompson, John T. (T. Suffridge)
A Study of Harmonic Mappings on Punctured Domains: An Argument Principle and Some Coefficient Results
Williams, Joy D. (J. Lee)
Spectral Bounds for Entropy Models
Wilson, Daniel (J. Lee)
Polyhedral Methods for Piecewise-linear Functions
December 1997
Wu, Zhiqiang (P. Perry)
Trace-Class Estimates for Elliptic Operators and Weyl's Law on Exterior Domains with Fractal Boundaries
August 1997
Ashby, William Todd (E. Enochs)
The Characterization of Graded Principal Ideal Domains and Graded Torsion Free Covering Modules
Hu, Wei, (R. Brown)
The Initial-boundary Value Problem for Higher Order Differential Operators on Lipschitz Cylinders
Prather, John (T. Suffridge)
Geometric Properties of the Hadamard Product
Qian, Qingshan (T. Hayden and Z. Bai)
Three Numerical Methods for Solving Generalized Algebraic Riccati Equations
Scobee, Matt (J. Lee)
Orientations of Ternary Matroids
May 1997
Dorff, Michael (T. Suffridge)
The Inner Mapping Radius and Construction of Harmonic, Univalent Mappings of the Unit Disk
Hebble, Robert (C. Lee)
Hamiltonicity of Squeezed Spheres
Xu, Jinzhong (E. Enochs)
Flat Covers of Modules
December 1996
Tung, Stewart (C. Lee)
Monge Optimality, and Feasibility Sequences in Capacitated Transportation Problems
August 1996
Schueller, Albert (P. Perry)
Eigenvalue Asymptotics for Self-adjoint, Fourth-order, Ordinary Differential Operators
Schueller, Laura (D. Leep)
Pairs of Quadratic Forms over Arbitrary Fields
Tolle, John (R. Gariepy)
Location of Inhomogeneities in Elastic Media
Vandenhouten, Ron (D. Adams)
Stability for the Biharmonic and Polyharmonic Obstacle Problems
Yi, Okyeon (E. Enochs)
Local Nilpotence of Envelopes and Universal Enveloping Algebras
May 1996
Lou, Zhuoming (G. Fairweather and B. Bialecki)
Orthogonal Spline Collocation for Biharmonic Problems
Robertson, Robert (P. Hislop)
An Inverse Boundary Value Problem in Linear Elasticity
December 1995
Bronstein, Albert (E. Enochs)
On Representations of Quivers
Wells, Clark (T. Hayden)
An Improved Method for Sampling of Molecular Conformation Space
August 1995
Roper, Kevin (T. Suffridge)
Convexity Properties of Holomorphic Mappings in C
^{n}
December 1994
Dillery, D. Scott (B. Bialecki)
High-order Orthogonal Spline Collocation Schemes for Elliptic and Parabolic Problems
August 1994
Brooks, Clayton (E. Enochs)
Homotopy Theory of Modules
Cyrus, Vivian (E. Enochs)
The Category of Monoids
May 1994
Zhang, Yue (T. Hayden)
Generalized Divide and Conquer Methods for Symmetric Matrix Eigenvalue Problems
August 1993
Newcomb, John (J. Wells)
T
he U(n+1) Classical Bailey Transform and 10
^{9}
Transformation
Smith, Scott (B. Fugate)
The Weakly Confluent Images of Graphs
May 1993
Haywood, Joel (C. Eberhart)
A Characterization of Universal Images of Trees
December 1992
Hu, Dan (L. Reichel)
Parallel Krylov Subspace Methods for Solving Sylvester Equations
Jagels, Carl (L. Reichel)
Applications of Szego Polynomials in Numerical Analysis
May 1992
Park, Sangwon (E. Enochs)
The Macaulay-Northcott Functor
Pupplo-Cody, Evelyn (T. Suffridge)
A Structural Formula for a Class of Typically Real Functions and Some Consequences
December 1991
Hatfield, Barbara (R. Gariepy)
Gradient Estimates for The Capillary Problems
August 1991
Akatsa, Victor (E. Enochs)
Flat Envelopes and Negative Torsion Functors
Bennett, Karin Remington (G. Fairweather)
Parallel Collocation Methods for Boundary Value Problems
Bigdeli, Fariba (C. Lee)
Regular Triangulations of Convex Polytopes and d-Cubes
Fernandes, Ryan (G. Fairweather)
Alternating Direction Implicit Finite Element Methods
for Solving Time Dependent Problems
Robinson, Mark (G. Fairweather)
Numerical Solution of Schrödinger Equations using Finite Element Methods
Stenerson, Jon (A. Sathaye)
Space Curves as Set-Theoretic Complete Intersections
May 1991
Branner, Frank (E. Enochs)
On the Projective Functor
Buskirk, Robert (C. Eberhart)
A Universal Completely Regular Curve and Inverse Limits of Locally Connected Curves
Glunt, William Kile (T. Hayden)
An Alternating Projection Method for Linear Convex Programming Problems
August 1990
Lilly, Glenn (E. Enochs)
The C
_{l}
Generalization of Bailey's Transform and Bailey's Lemma
Yeomans, Charles (D. Leep)
Quintic Forms over Finite and Local Fields
May 1990
Goddard, Mark (E. Enochs)
Projective Covers of Complexes
December 1989
Belshoff, Richard (E. Enochs)
On Matlis Reflexive Modules
August 1989
Choe, Hi Jun (R. Gariepy)
Regularity for Minimizers of Certain Singular Functionals
Vogel, Andrew Lee (J. Lewis)
Boundary Regularity and Symmetry for Regions having a
Solution to Certain Overdetermined Boundary Value Problems
August 1988
Silver, Judy (J. Lewis)
Parabolic Measure and the LP Dirichlet Problem for the Heat Equation
in Two-Dimensional Regions
Wang, Tai-Lin (E. Enochs)
On Implementing the QR Algorithm for Real Symmetric
Tridiagonal and Unitary Hessenberg Matrices
August 1985
Waggoner, Daniel Floyd (Cohen)
Loop Spaces and the Classical Unitary Groups
May 1985
Pervine, Robert H. (P. Eakin)
I
_{c}
(R) and Other Ideals Realted to the Analytic Extensions of a Commutative Ring
December 1982
Metcalf, Scott (T. Chapman)
Finding a Boundary for a Hilbert Cube Manifold Bundle
August 1982
Greenwell (Yanik), Catherine E. (G. Fairweather)
Finite Element Methods for Partial Integro-Differential Equations
May 1982
Leverenz, Christine R. (T. Suffridge)
Hermitian Forms in Function Theory
August 1981
Hughes, Charles Bruce (T. Chapman)
Local Homotopy Properties in Spaces of Approximate Fibrations
Makowski, Armand (R. Rishel)
Dynamic Programming for Problems of Impulse Control
Solis, Francisco (Wets)
Stochastic Optimization Problems: A Statistical Approach
Jenda, Overtoun (E. Enochs)
On Injective Resolvents
Lenhart, Suzanne (L. Evans)
Partial Differential Equations from Dynamic Programming Equations
December 1980
Gerlach, Walter (P. Eakin)
Connecting Locally Compact Abelian Groups
May 1980
Badawi, Faris Abdul-Jabbar (Lindquist)
Structures and Algorithms in Stochastic Realization Theory and the Smoothing Problem
December 1979
Patterson, James Carlton (E. Enochs)
(x,y)-Divisible Envelopes over Commutative Rings
Saylor, Annie Victoria (G. Fairweather)
Extrapolation, Deferred Correction, and Defect Correction of Discrete Time Galerkin Methods for Linear Parabolic Problems
August 1979
Yanik, Harry Joe (P. Eakin)
Projective Algebras
May 1979
Bain, James Allen (J. Wells)
Control Kernels and Constant-Rate Jump Processes
Joyce, Peter McCourt (E. Enochs)
Dual Numbers and Finite Abelion Groups
Miller, David Foster (Lindquist)
The Optimal Impulse Control of Jump Stochastic Processes
Pavon, Michele (Lindquist)
Duality Theory, Stochastic Realization and Invariant Directions for Linear Discrete Time Stochastic Sysems
Salmassi, Mohammad (S. M. Shah)
Some Classes of Entire Functions of Exponential Type in One and Several Complex Variables
August 1978
Adams, David Duane (E. Enochs)
Absolutely Pure Modules
May 1978
Tippett, James Milton (J. Wells)
Roots of Operators and Solving the Operator Equation f(X)=S
August 1977
Nowell, William Otis (T. Chapman)
Tubular Neighborhoods of Hilbert Cube Manifolds
Wright, Ronald Harold (Wets)
phi Regularity Conditions for Nonconvex Optimization Problems
Harris, Gary Alvin (M. Freeman)
The Traces of Holomorphic Functions on Real Submanifolds
Seeling, Ronald Leonard (H. Howard)
Dirichlet Series and Singularities of Solutions of Euler-Poisson-Darboux Partial Differential Equations
August 1976
Elosser, P. Douglas (S. M. Shah)
Approximation of Certain Functions in the Uniform and L
_{1}
Norms
May 1976
Johnson, J. Lee (P. Eakin)
Graded Structures in Commutative Algebra
December 1975
Baker, Crump Walker (J. Mack)
The Pedersen Ideal and The Representation of C*-algebras
Maynard, Edward W. (Goodwyn)
Partial Topological Entropy
August 1975
Berry, David Duane (E. Enochs)
S-Purity
Mand, Lawrence R. (T. Chapman)
A Generalization of Cell-like Mappings
December 1974
Schlosser, Michael Dennis (Goodwyn)
Entropy of Ring Endomorphisms
August 1973
Burtner, Dale (S. M. Shah)
I
ndicators of the Growth of Entire Functions in Several Variables and in Banach Spaces
LeVan, Jerome H. (McCord)
Shape Theory
May 1973
Moore, Peter Edward (T. Hayden)
Generalized Convexity
1972
Bell,Richard (S.M. Shah)
Cheatham,Franklin (E. Enochs)
F-Absolutely Pure Modules
Leggett,Richard (J. Wells)
On the Invariant Subspace Structure of Compact, Dissipative Operators
Monsour, Scott Willis (T. Suffridge)
Extreme Points in Two Classes of Functions with Univalent Sequential Limits
Spitznagel,Carl (C. Eberhart)
The Lattice of Congruences on a Band of Groups
Warren,Roger (E. Enochs)
Free A-Rings
Webb, Carry (E. Enochs)
1971
Ali,Z.S. (S.M. Shah)
Norlund Summability of Series
Cheatham,Thomas (E. Enochs)
Finite Dimensional Rings and Torsion free Covers
Chowdhury, Zougul Hussain (D.B. Coleman)
Zero-Commutative Rings
Ewing, Edson (C. Eberhart)
Contributions to the Theory of Regular Semigroups
Goodykoontz, Jack Tilden (C. Eberhart )
Connectivity Properties of Hyperspaces
Hammons, Charles (J. Mack)
On Paracompact p-Space Completions of Some Uniform Spaces
Marxen, Donald (J. Mack)
Uniform Semigroups
McClean, Bruce (B. Fugate)
Confluent Images of Tree-Like Curves
Miller, Sanford (F. Keogh)
On Properties of Basilvic Functions
Riggs, Schultz (T. Hayden)
Operators with Orthogonal Approximate Eigenvectors
Sisarcick, Wood (S.M. Shah)
Variations of the Definition of a function of Bounded Index
Williams, Lynn (J. Wells)
Generalized Hausdorff-Young Inequalities And Mixed-Norm Spaces
1970
Bennett, Donald Earl (B. Fugate)
Aposyndetic Continua and some Characterizations of Dendritess
Bowe, Ann Fowler (E. Enochs)
Some Aspects of Small Modules
Bowe, James (E.Enochs)
Neat Homorphisms
Brewser, Benjamin (J.Beidleman)
Classes of Finite Pi-Closed Groups and their Covering Subgroups
Chelgren, Allen Kirby (D. Coleman)
Defect Groups and the Radical of a Group Algebra
Ekblaw, Keith Arends (S.M.Shah)
The Functions of Bounded Index as a Subspace of a Space of Entire Functions
King, Amy Patterson (S.M.Shah)
A Class of Entire Functions of Bounded Index and Radii of Univalence of Some Functions of Zero Order
Meyers, Carroll (E. Enochs)
F-Torsionless and F-Reflexive Modules
Nelson, James Donald (J. Wells)
Algebras of Analytic Functions with Smooth Boundary Values
Shaw, John Kenneth (J. Buckholtz)
Zeros of Partial Sums and Remainders of Power Series
1969
Brooks, James Francis (J. Mack)
On p-Spaces
Cantrell, Grady Leon (J. D. Buckholtz)
A Distortion Theorem for Certain Classes of Analytic Function
Curd, Rudy Leroy(J. Selden)
Theorems on Semigroups with Zero
Dobbins, James Gregory (J. Selden)
Ideals in Topological Semigroups
Eenigenburg, Paul John( F. Keogh & S. M. Shah)
Boundary Behavior in Some Classes of Univalent Functions
Frank, James Leo
On a Generalized Whittaker Problem and Polynomial Expansions of Analytic Functions
Kinch, Lael F. (J. Selden)
On a Generalized Whittaker Problem and Polynomial Expansions of Analytic Functions
Kung, George Chao-Tsi
Oscillation and Non-oscillation Criteria for Functional Differential Equations
Potoczny, Henry (J. Mack)
Some Generalizations of the First and Second Countability Axioms
Rayburn, Marlon (J. Mack)
On The Lattice of Compactifictions and the Lattice of Topologies
Schnack, Dennis Harold (S.M. Shah)
On the Coefficient Bounds for a Class of Meromorphic Univalent Functionss
Seo, Sang-Ok Chang (D. Coleman)
Augmentations in Semigroup Rings
Trimble, Selden (S. M. Shah)
Relationships Between the radius of Convergence of a Power Series and the Radii of Convergence of its Derivatives
Winkleman, Nancy Andrews
On the Existence of an Exponential Dichotomy for Ordinary Linear Differential Equations in Banach Spaces
1968
Calys, Emanual G. (F. Keogh)
Univalence and Starlikeness of Functions
Cleaver, Charles (T. Hayden)
Representations of Linear Functionals in Reflexive Banach Spaces
Dykes, Donald (J. Beidleman)
Generalized Frattini Subgroups of a Finite Group
Novinger, Phil (J. Wells)
Holomorphic Functions with C°° Boundary Values
Powell, James Douglas
Notes on Locally Convex Algebras
Rogers, Nancy (Dykes) (J. Mack)
Mappings and Realcompact Spaces
Stepp, James W. (J. Selden)
Two Types of Semigroups
Tjong, Bwee Lan (V. Maric and W. C. Royster)
Operators Generating Solutions of Certain Partial Differential Equations and their Properties
Weartherbee, James (J. Wells)
Some Extensions of the F. and M. Riesz Theorem on Absolutely Continuous Measures
Wright, Donald J. (S. M. Shah)
On p-valent Starlike-Functions and the Univalence of Some Integrals
1967
Heard, Elizabeth Ann (J. Wells)
A Generalization of theorems of F. and M. Riesz and Szego To Function Algebras
Miller, James Ernest (W.C. Royster)
Extremal Funtions for Meromorphic Univalent Functions
Nebb, Jack
Some Applications of an Integral Transform
Taylor, Donald Curtis (J. Wells)
A Generalized Fatou Theorem for Banach Algebras
1966
Caveny, James (J. Wells)
Bounded Hadamard Products of H^p Functions
Hutton, Edward Louis
On the Class of SpiralLike Univalent Functions
Madison, Bernard (J. Selden and J. Mack)
Clans on Coset Spaces
1964
Distler, Raymond (A. Goodman)
The Domain of Univalence in Certain Classes of Meromorphic Functions
1963
Pfaltzgraff, John Andrew (W. C. Royster)
Extreme Problems for Analytic Functions Defined by a Stieltjes Integral
Watson, Martha Francis (A. Goodman)
On Functions that are Bivalent in the Unit Circle
1962
King, Jerry Porter (V. Cowling)
Some Results in Euler, Taylor and Lotosky-Transforms
1961
Sledd, William Taxwell (V. Cowling)
Some Properties of Karamata Summability Matrices
Sprague, Richard Howard (A. Goodman)
Second Variations of Analytic Functions
1960
Detwiler, Betty Charles (W. C .Royster)
A Variational Method for Functions Convex in the Direction of the Imaginary Axis and Related Functions
1959
Miracle, Chester (V. Cowling)
The Gibbs Phenomenon for the Taylor Transform and [F,DN]Transform of the Sequence of Partial Sums of a Fourier Series
1957
Cornelison, Jr., Joseph Boggs (V. Cowling)
On the Effectiveness of Certain Series-to-Series Transformations for Various Classes
Ripy, Sarah Louise (A Goodman)
On the Analytic Contination of Functions Defined by a Ge-
Wells, John Bond, Jr. (V. Cowling)
On the Summability of Various Classes of Series by Euler And Taylor Series
1955
Swift, William Clement (V. Cowling)
A Generalized Matrix Method of Summability
Zaring, Wilson Miles (A. Goodman)
Multiple Monotone Complex Sequences
1954
Rose, Donald Clayton (V. Cowling)
On the Analytic Extension of Functions Defined by Generalized Dirichlet Series
1953
Moore, Cordell Bridges (E. South)
On Regression for a Compound Bivariate Surface
1952
Royster, W. C. (A. Goodman)
Convexity and Starlikeness of Analytic Functions
Ruric E. Wheeler (E. South)
A Variable Probability Density Function
1951
Church, Elsie Temple (S. Pence)
Inversion With Respect to a Cubic of the Syzygetic Pencil
Foster, Achilles Elmer
A Study of the Agreement of Introversion-Extroversion Factors as Defined By Various Factor Analysts Operators
1950
Atkins, Delbert Ferrel
Flack, James Christy (Pence)
On Reducible Plane Algebraic Curves
Healy, Paul William
Derivatives and Orders of Convergence of Fourier Sine Series
Reckzeh, John Karl (E. South)
Rohde, Florence Virginia (Leser)
On Large Deflections of Beams
1949
Jasper, Samuel Jacob (Downing)
The Homogenity Problem in the Calculus of Variation for a Parametric Form
Riggs, Charles (E. South)
On the Scedastic Curve of a Compound Surface
1948
Allison, Nathan Breckenridge (C. Latimer)
On Ideals in Generalized Quaternion Algebras and Representation of Integers by Ternary Quadratic Forms
Tiller, Garnet Louis
Existence of a Two-Dimensional Potential Flow with Finite Wake past a Symmetric Convex Profile
1943
Howard, Aughtum Smith
Summary of Divergent Series
1942
Clark, William Glenn (C. Latimer)
On Generalized Quaternion Algebras and Universal Hermitian Forms
Rommel, Jr., John Daniel (E. South)
On Conservative Transformations of Functions of Two Variables
1938
Palmquist, Kenneth Liebert (C. Latimer)
On Ideals in a Quaternion Algebra and Hermitian Forms
1937
Ader, Olin Blair
Concerning an Affine Invariant of Convex Regions
1936
Hutchison, Lee P. (L. Cohen)
On Implicit Function and Lagrange Multiplier Theorems
1935
Teller, James Henry David
On a Class of Quaternion Algebras
1930
Park, Russell Smith
On Certain Identities in Theta Functions
Master's Degrees Awarded
‹ Request Additional Information
up
Master's Degrees Awarded ›
Mathematics Graduate Program
About Graduate Study at UK
Information for Prospective Graduate Students
Applying
Guidelines for Letters of Recommendation
Q&A
Information for Incoming Graduate Students
Information for Current Graduate Students
Mathematics Graduate Handbook
Sample Timelines for Course Completion
Finding a Master's Advisor and What to Expect for your Master's Exam
Finding a PhD Advisor and What to Expect After Prelims
Preparing for Your Career While in Graduate School
Math Department Graduate Student Awards Information
TA Professional Development
Links to Some Frequently Used Forms for Current Students
Internship Opportunities in Applied and Industrial Mathematics
LaTeX Templates for UK Dissertation
Job Search Information
Contact Information
Request Additional Information
Graduate Degrees Awarded (Doctoral Degrees)
Master's Degrees Awarded
Graduate Scholars in Mathematics (GSM)
X
Username
*
Enter your linkblue username.
Password
*
Enter your linkblue password.
This login is SSL protected
Request new password