This page gives the title of the student's UNL Ph.D. thesis, the name of his or her Ph.D. adviser and, for more recent years, the original and/or current job placement.

## 2010s

### 2018

*Design and Analysis of Graph-based Code using Algebraic Lifts and Decoding Networks*- Advised by: Christine Kelley
- Arizona State, New Jersey Institute of Technology, and the Army Research Lab

**Beemer, Allison**

*Graph-theorectic aspects of polar codes*- Advised by: Judy Walker
- State University of New York at Oswego

**Bolkema, Jessalyn**

*F-purity, Strong F-regularity, and log canonical thresholds using Berkovich spaces^2*- Advised by: Mark Walker and Brian Harbourne
- University of Michigan

**Canton, Eric**

*Graphs with few spanning substructures*- Advised by: Jamie Radcliffe
- Cal State University, Stanislaus

**De Silva, Jessica**

*Geometrically linked ideals and Gorenstein Dimension*- Advised by: Mark Walker and Roger Wiegand
- University of Texas, Arlington

**Gheibi, Mohsen**

*Fractional Difference Equations and Solutions to BVPs*- Advised by: Al Peterson
- University of Nebraska at Kearney

**Gensler, Scott**

*Four Mathematical Results on a Theme by Paganini*- Advised by: John Meakin and Jamie Radcliffe

**Groothuis, Corbin**

*Green's Functions and Lyapuov Inequalities for Nabla Caputo Boundary Value Problems*- Advised by: Al Peterson
- Colorado School of Mines

**Ikram, Areeba**

*On the well-posedness and global boundary controllability of a nonlinear beam model*- Advised by: George Avalos and Daniel Toundykov
- Johns Hopkins Applied Physics Laboratory

**Jamieson, Jessie**

*Damped wave equations of the p-Laplacian type with supercritical sources*- Advised by: Mohammad Rammaha

**Kass, Nicholas**

*K1,∆+1-free and Kω+1-free Graphs with Many Cliques*- Advised by: Jamie Radcliffe
- London School of Economics

**Kirsch, Rachel**

- Resolutions of Finite Length Modules over Complete Intersections
- Advised by: Mark Walker
- University of Dubuque

**Lindokken, Seth**

*On Coding for Partial Erasure Channels*- Advised by: Christine Kelley
- Wochester Polytechnic Institute

**Mayer, Carolyn**

*High Cognitive Demand Examples in Precalculus: Examining the Work and Knowledge Entailed in Enactment*- Advised by: Yvonne Lai
- Virginia Commonwealth University

**Miller, Erica**

*On maximal green sequences, local–acyclicity, and upper cluster algebras*- Advised by: Kyungyong Lee
- NSF Post Doc Michigan State

**Mills, Matthew**

*A Tensor's Torsion*- Advised by: Tom Marley and Roger Wiegand
- Drake University

**Steinburg, Neil**

*Properties and convergence of state-based Laplacians*- Advised by: Petronela Radu

**Wells, Kelsey**

*Behavior Of Solutions To Nonlocal Hyperbolic Diffusion and Doubly Nonlocal Cahn-Hilliard Equations*- Advised by: Petronela Radu
- NASA Langley

**White, Laura**

*Existence and Regularity of Minimizers for Nonlocal Functionals*- Advised by: Mikil Foss and Petronela Radu
- Lehigh University

**Wright, Cory**

### 2017

*Solving Initial and Boundary Value Problems for a Self-Adjoint Difference Equation Involving Fractional Derivatives*- Advised by: Al Peterson
- Colorado School of Mines

**Ahrendt, Kevin**

*Ideal Containments under Flat Extensions and Interpolation on Linear Systems in P^2*- Advised by: Brian Harbourne
- Yale Law School, J.D. Candidate

**Akesseh, Solomon**

*Characterizations of Gorenstein Rings Using Frobenius*- Advised by: Tom Marley
- Stephen F. Austin State University

**Falahola, Brittney**

*Stable Cohomology of Local Rings and Castelnuovo-Mumford Regularity of Graded Modules*- Advised by: Lucho Avramov Wake Forest University

**Ferraro, Luigi**

*Languages, geodesics, and HNN extensions*- Advised by: Mark Brittenham and Susan Hermiller
- Center for Communcations Research

**Franke, Maranda**

*Antichains and Diameters of Set Systems*- Advised by: Jamie Radcliffe
- National Indemnity, Omaha

**McKain, Brent**

*Characterizations of Minimal Multiplicity via Ext-Algebras*- Advised by: Lucho Avramov
- State University of New York at Oswego

**Myers, John**

*Abstract characterizations of ordered operator spaces*- Advised by: Allan Donsig
- United States Military Academy

**Russell, Travis**

*Extremal Problems for Graph Homomorphisms and Automata*- Advised by: Jamie Radcliffe

**Tomlinson, Charles**

*Cohomological Operators On Quotients by Quasi-Complete Intersection Ideals*- Advised by: Mark Walker
- Rockhurst University

**Windle, Andrew**

### 2016

*Rigidity of the Frobenius and Matlis Duality*- Advised by: Tom Marley
- University of Dallas/ Christendom College, VA

**Dailey, Douglas**

*Management of Diaprepes Root Weevils through Control Theory*- Advised by: Richard Rebarber/Brigitte Tenhumberg
- University of Tennessee, NIMBioS

**Edholm, Christina**

*Cohen-Macaulay dimension for coherent rings*- Advised by: Tom Marley

**Egg, Rebecca**

*Adian inverse semigroups*- Advised by: Mark Brittenham/John Meakin
- University of West Georgia

**Inam, Muhammad**

*Homological characterizations of quasi-complete intersections*- Advised by: Lucho Avramov/Srikanth Iyengar
- Gonzaga University

**Lutz, Jason**

*Bridge spectra of cables of 2-bridge knots*- Advised by: Mark Brittenham/Susan Hermiller
- Gettysburg College/Okinawa Institute for Science and Technology

**Owad, Nicholas**

*Applications of Discrete Mathematics for Understanding Dynamics of Synapses and Networks in Neuroscience*- Advised by: Carina Curto/Jamie Radcliffe
- Keene State College

**Parmelee, Caitlyn**

*A Caputo Boundary Value Problem in Nabla Fractional Calculus*- Advised by: Al Peterson
- Merrimack College

**St. Goar, Julia**

*Stable local cohomology and cosupport*- Advised by: Mark Walker
- Texas Tech University

**Thompson, Peder**

### 2015

*Graph centers, hypergraph degree sequences, and induced-saturation*- Advised by: Stephen Hartke
- EPIC, Madison, WI

**Behrens, Sarah**

*Knörrer periodicity and Bott periodicity*- Advised by: Mark Walker
- Hausdorff Center for Mathematics

**Brown, Michael**

*The Strict Higher Grothendieck Integral*- Advised by: Mark Brittenham and Susan Hermiller

**Dyer, Scott**

*Invariant basis number and basis type for C*-algebras*- Advised by: David Pitts
- SUNY Cortland

**Gipson, Philip**

*Extremal results for the number of matchings and independent sets*- Advised by: Jamie Radcliffe
- Davidson College/Grand Valley State University

**Keough, Lauren**

*Bioinformatic game theory and its application to cluster multi-domain proteins*- Advised by: Bo Deng and Etsuko Moriyama
- USDA Meat Animal Research Center

**Keel (Hinds), Brittney**

*Crosscap number: Handcuff graphs and Unknotting number*- Advised by: Mark Brittenham
- Ave Maria University

**Kerian, Anne**

*Tame Filling Invariants and Closure Properties*- Advised by: Mark Brittenham and Susan Hermiller
- Trinity College/Ursinus College

**Nu'man, Anisah**

*Dynamics of Interacting Populations: Consumer-Resource Systems and Evolutionary Outcomes for Cannibalistic Spiders*- Advised by: Glenn Ledder and Chad Brassil

**Reynolds, Sara**

*Analysis of neuronal sequences using pairwise biases*- Advised by: Vladimir Itskov and Judy Walker

**Roth, Zachary**

*Generalizations of AF-embedding theorems of Brown and Pimsner*- Advised by: Allan Donsig and David Pitts
- University of Waterloo

**Schafhauser, Christopher**

*Systems of parameters and the Cohen-Macaulay property*- Advised by: Srikanth Iyengar and Roger Wiegand
- Gonzaga University

**Shultis, Katharine**

- Advised by: Petronela Radu and Daniel Toundykov
- George Washington University

**Trageser, Jeremy**

*Frobenius and homological dimensions*- Advised by: Tom Marley
- Stephen F. Austin University

**Webb, Marcus**

*Betti sequences over local rings and connected sums of Gorenstein rings*- Advised by: Lucho Avramov
- Miami University

**Yang, Zhang**

### 2014

*Boundary value problems in nabla fractional difference equations*- Advised by: Lynn Erbe and Allan Peterson

**Brackins, Abigail**

*Results on edge-colored graphs and pancyclicity*- Advised by: Stephen Hartke
- University of Nebraska at Kearney

**Carraher, James**

*An applied functional and numerical analysis of a 3-D fluid-structure interactive PDE*- Advised by: George Avalos
- Dordt College

**Clark, Tom**

*Algebraic properties of ext-modules over complete intersections*- Advised by: Mark Walker
- Worcester State University

**Hardin, Jason**

*Combinatorial and algebraic coding techniques for flash memory storage*- Advised by: Christine Kelley
- Villanova University

**Haymaker, Kathryn**

*Well-posedness and stability of a semilinear Mindlin-Timoshenko plate model*- Advised by: Mohammad Rammaha and Daniel Toundykov
- Earlham College/Otterbein University

**Pei, Pei**

*The neural ring; using algebraic geometry to analyze neural codes*- Advised by: Carina Curto
- Harvey Mudd College/Colby College

**Youngs, Nora**

### 2013

*Development and application of difference and fractional calculus on discrete time scales*- Advised by: Lynn Erbe and Allan Peterson
- Oklahoma Baptist University/Bethel University

**Auch, Tanner**

*Boundary value problems for discrete fractional equations*- Advised by: Lynn Erbe and Allan Peterson

**Awasthi, Pushp**

*Directed threshold graphs and directed graph limits*- Advised by: Jamie Radcliffe
- University of Nebraska at Kearney

**Boeckner, Derek**

*Embedding and nonembedding results for R. Thompson’s group V and related groups*- Advised by: Mark Brittenham and Collin Bleak
- Rutgers University/ Villinova University

**Corwin, Nathan**

*Periodic modules over Gorenstein local rings*- Advised by: Srikanth Iyengar
- Concordia University, Irvine, CA

**Croll, Amanda**

*Results on containments and resurgences, with a focus on ideals of points in the plane*- Advised by: Brian Harbourne
- University of Nebraska-Lincoln

**Denkert, Annika**

*Unknotting Moves of Virtual Knots*- Advised by: Mark Brittenham and Susan Hermiller

**DeVries, Melanie**

*Regularity for solutions to parabolic systems and nonlocal minimization problems*- Advised by: Mikil Foss
- Nebraska Book Company/Neebo

**Geisbauer, Joseph**

*Decompositions of Betti diagrams*Advised by: Luchezar Avramov and Roger Wiegand- Hamilton College, Clinton, NY

**Gibbons, Courtney**

*Symbolic powers of ideals in k[P^N]*- Advised by: Brian Harbourne
- Hyland Software, Inc./ Dordt College

**Janssen, Michael**

*Closure properties and other examples of (Auto)stackable groups*- Advised by: Mark Brittenham and Susan Hermiller
- University of North Alabama

**Johnson, Ashley**

*Random Search Models of Foraging Behavior: Theory, Simulation and Observation*- Advised by: David Logan and Chad Brassil
- Case Western Reserve

**Nolting, Ben**

*Geometric study of the category of matrix factorizations*- Advised by: Mark Walker
- University of Antwerp, Belgium

**Yu, Xuan**

### 2012

*Boundary value problems for discrete fractional equations*- Advised by: Lynn Erbe and Al Peterson
- King Faisel University, Saudi Arabia

**Alyousef, Khulud**

*Prime ideals in two-dimensional noetherian domains and fiber products and connected sums*- Advised by: Sylvia Wiegand and Mark Walker
- University of Missouri/ West Virginia University

**Celikbas, Ela**

*Modeling and mathematical analysis of plant models in ecology*- Advised by: Richard Rebarber and Brigitte Tenhumberg
- University of Wisconsin-LaCrosse

**Eager, Eric**

*An analysis of nonlocal boundary value problems of fractional and integer order*- Advised by: Lynn Erbe and Al Peterson
- Creighton Prep/University of Rhode Island

**Goodrich, Christopher**

*Systems of nonlinear wave equations with damping and supercritical sources*- Advised by: Mohammad Rammaha
- Weizmann Institute of Science, Israel

**Guo, Yanqiu**

*Commutative rings graded by abelian groups*- Advised by: Tom Marley
- Florida Gulf Coast University

**Johnson, Brian**

*The weak discrepancy and linear extension diameter of grids and other posets>*- Advised by: Jamie Radcliffe
- Florida Gulf Coast University

**Johnson, Katherine**

*Equivalence and duality for rank-metric and matrix codes*- Advised by: Judy Walker
- University of Northern Colorado

**Morrison, Katherine**

*Combinatorics using computational methods*- Advised by: Stephen Hartke and N.V. Vinodchandran
- University of Illinois at Urbana-Champaign/Iowa State University

**Stolee, Derrick**

### 2011

*On the rank of multi-graded differential modules*- Advised by: Srikanth Iyengar

**DeVries, Justin**

*On Morrey spaces in the calculus of variations*- Advised by: Mikil Foss
- Luther College

**Fey, Kyle**

*Formalizing categorical and algebraic constructions in operator theory*- Advised by: David Pitts
- Alfred University/University of Texas at Tyler

**Grilliette, William**

*Discrete fractional calculus: Development and application*- Advised by: Lynn Erbe and Al Peterson
- Department of Defense

**Holm, Michae**l

- Advised by: Allan Donsig
- Canadian University of Dubai

**Kamalov, Firuz**

*Homology of artinian modules over commutative noetherian rings*- Advised by: Srikanth Iyengar and Roger Wiegand

**Leamer, Micah**

*Annihilators of local cohomology modules*- Advised by: Tom Marley
- College of Coastal Georgia

**Lynch, Laura**

*Groups and semigroups gnerated by automata*- Advised by: Susan Hermiller and John Meakin
- William Jewel College

**McCune, David**

*Hilbert-Samuel and Hilbert-Kunz functions of zero-dimensional ideals*- Advised by: Tom Marley
- Missouri Western State University

**McDonnell, Lori**

- Advised by: David Skoug
- St. Olaf College

**Pierce, Ian**

*Extremal trees and reconstruction*- Advised by: Jamie Radcliffe
- Walmart, Inc.

**Ray, Andrew**

*Packings and realizations of degree sequences with specified substructures*- Advised by: Stephen Hartke
- University of Montana Western

**Seacrest, Tyler**

*Global well-posedness of a nonlinear wave equation with p-Laplacian damping*- Advised by: Mohammad Rammaha
- Berry College

**Wilstein, Zahava**

### 2010

*Properties of the generalized Laplace transform and transport partial dynamic equation on time scales*- Advised by: Lynn Erbe and Allan Peterson
- University of Wisconsin-Eau Claire

**Ahrendt, Christopher**

*Applications of linear programming to coding theory*- Advised by: Judy Walker
- Virginia Military Institute/Concordia College

**Axvig, Nathan**

*Cohomology over complete intersection rings*- Advised by: Srikanth Iyengar
- University of Bielefeld, Germany/UCLA

**Burke, Jesse**

*Vanishing of Ext and Tor over complete intersections*- Advised by: Mark Walker and Roger Wiegand
- University of Kansas/University of Missouri

**Celikbas, Olgur**

*Mathematical modeling of optimal seasonal reproduction strategies of plant populations and a comparison of long-term viabilities of annuals and perennials*- Advised by: Steve Dunbar
- Benedictine University

**DeLegge, Anthony**

*Pseudocodewords on graph covers and computation trees*- Advised by: Judy Walker

**Dreher, Deanna**

*Quasi-complete intersection ideals with applications to free resolutions over artinian rings*- Advised by: Luchezar Avramov
- University of California, Riverside

**Henriques, Inés Bonacho dos Anjos**

*One-dimensional local rings of infinite Cohen-Macaulay type*- Advised by: Roger Wiegand
- University of Arizona

**Saccon, Silvia**

## 2000s

### 2009

*Fan cohomology and its application to equivariant K-theory of toric varieties*- Advised by: Mark Walker
- LeMoyne College

**Au, Suanne**

*Dynamic equations on time scales*- Advised by: Lynn Erbe and Allan Peterson
- Coastal Carolina University

**Dahal, Rajendra**

*Combinatorial and commutative manipulations in Feynman's operational calculi for noncummuting operators*- Advised by: Gerald Johnson
- Department of Defense

**Einfeld, Duane**

*Fan cohomology and equivalent Chow rings of toric varieties*- Advised by: Mark Walker
- Southwest Minnesota State University

**Huang, Mu-wan**

*Modeling and analysis of biological populations*- Advised by: Richard Rebarber and Brigitte Tenhumberg
- Dakota Wesleyan University

**Lubben, Joan**

*A Computational Study of the Effects of Temperature Variation on Turtle Egg Development, Sex Determination, and Population Dynamics*- Advised by: David Logan
- University of Wisconsin Oshkosh

**Parrot, Amy**

*Properties of local rings and resolutions of modules*- Advised by: Luchezar Avramov and Srikanth Iyengar
- Texas Tech University/Syracuse University

**Rahmati, Hamidreza**

### 2008

*Solving boundary value problems using critical point theory*- Advised by: Lynn Erbe and Allan Peterson
- Simpson College

**Berger, Heidi Feller**

*Solving partial differential equations with sinc methods*- Advised by: Thomas Shores and David Swanson
- University of Nebraska-Lincoln

**Bockelman, Brian**

*Hilbert polynomials and building large indecomposable modules*- Advised by: Roger Wiegand
- Student at University of Pennsylvania Medical School

**Crabbe, Andrew**

*Qualitative and quantitative analysis of a fluid-structure interactive partial differential equation model*- Advised by: George Avalos
- Department of Defense

**Dvorak, Matthew**

*Prime ideals in low-dimensional mixed polynomials/power series rings*- Advised by: Sylvia Wiegand
- University of Louisiana at Lafayette

**Eubanks-Turner, Christina**

*Polynomial LYM inequalities and association schemes on lattices*- Advised by: Jamie Radcliffe
- University of Nebraska at Kearney/Bethany College

**Ford, Pari**

*C*-extreme points of the generalized state space of a commutative C*-algebra*- Advised by: David Pitts
- Augustana University

**Gregg, Martha**

*Oscillation Theory of Dynamic Equations on time scales*- Advised by: Lynn Erbe and Allan Peterson
- Texas Tech University

**Higgins, Raegan**

*C*-algebras of inverse semigroups*- Advised by: John Meakin and David Pitts
- University of Texas at Tyler

**Milan, David**

*A theory of non-Noetherian Gorenstein rings*- Advised by: Thomas Marley
- University of Indianapolis

**Hummel, Livia Miller**

*Cohomology of products of local rings*- Advised by: Luchezar Avramov
- Cornell University/Wake Forest University

**Moore, Frank**

*Global well-posedness for systems of nonlinear wave equations*- Advised by: Mohammad Rammaha
- Silpakorn University, Thailand

**Sakuntasathien, Sawanya**

### 2007

*Two Problems in Extremal Set Theory*- Advised by: Jamie Radcliffe
- Illinois Wesleyan University/Nebraska Global

**Brown Kramer, Josh**

*Self-Adjoint Matrix Equations on Time Scales*- Advised by: Allan Peterson and Lynn Erbe
- Hastings College

**Buchholz, Bobbi**

*Boundary and localized null controllability and corresponding minimal norm control blow up rates of thermoelastic and structurally damped systems*- Advised by: George Avalos
- World Link Education

**Cokeley, Paul**

*Algebraic Geometric Codes on Anticanonical Surfaces*- Advised by: Brian Harbourne and Judy Walker
- Rockwell Collins

**Davis, Jennifer Everson**

*Ranks and bounds for indecomposable modules over one-dimensional Noetherian rings*- Advised by: Sylvia Wiegand

**Luckas, Melissa**

*Second Order Dynamic Equations on Time Scales*- Advised by: Lynn Erbe and Allan Peterson
- University of Nebraska at Kearney

**Weiss, Jacob**

*Proper resolutions and their applications*- Advised by: Sean Sather-Wagstaff
- University of South Carolina/University of Colorado Denver

**White, Diana**

### 2006

*Decoding Algorithms for Algebraic Geometric Codes over Rings*- Advised by: Judy Walker
- Department of Defense

**Bartley, Katherine**

*Amalgamation of inverse semigroups and operator algebras*- Advised by: Allan Donsig and John Meakin
- Deceased

**Haataja, Steve**

*Some Decision Problems in Group Theory*- Advised by: Susan Hermiller and John Meakin
- Minnesota State University - Moorhead

**James, Justin**

*Quantum Error-Correcting Codes: From Stabilizer Codes to Induced Codes*- Advised by: Tom Marley and Judy Walker
- Southwestern College (KS)

**Loeb, Ed**

### 2005

*Representation Theory of One-dimensional Local Rings of Finite Cohen-Macaulay Type*- Advised by: Roger Wiegand
- University of Central Missouri/Franklin & Marshall College

**Baeth, Nicholas**

*Algebraic Constructions of Low-Density Parity Check Codes*- Advised by: Judy Walker
- Nazareth College

**Koetz, Matthew**

*Asymptotic Behavior of Linear Dynamic Equations on Time Scales*- Advised by: Lynn Erbe and Allan Peterson
- Lagrange College/Wayne State College

**Langdon, Jennifer**

### 2004

*Universal Operator Algebras of Directed Graphs*- Advised by: David Pitts
- North Dakota State University

**Duncan, Benton**

### 2003

*Inverse Monoids Presented by a Single Sparse Relator*- Advised by: Susan Hermiller and John Meakin
- Hewit Associates, San Francisco

**Lindblad, Steve**

*Dynamic Equations on Time Scales*- Advised by: Al Peterson
- Defense Intelligence Agency

**Messer, Kirsten**

### 2002

*Decomposition of modules over one-dimensional rings*- Advised by: Sylvia Wiegand
- State University of New York-Fredonia

**Arnavut, Meral**

*Electromagnetic Sensing of Chiral Materials*- Advised by: Steve Cohn
- University of Nebraska-Lincoln/Jacksonville University

**Crittenden, Paul**

*Direct-sum Cancellation of Lattices over Orders in Global Fields*- Advised by: Roger Wiegand
- Florida Atlantic University/University of Wisconsin-Parkside

**Karr, Ryan**

*Mathematical Models of Digestion Modulation in Grasshoppers*- Advised by: David Logan
- College of St. Mary/Doane College

**Wolesensky, William**

### 2001

*Empirical Best Prediction and Hierarchical Bayes Methods in Small-area Estimation*- Advised by: Partha Lahiri

**Chen, Shijie**

*Green's Functions and Eigenvalue Comparisons for Higher Order Equations on Time Scales*- Advised by: Allan Peterson
- University of Georgia-Athens/Clemson University

**Hoffacker, Jo**

*Monoids, Direct-Sum Decompositions, and Elasticity of Factorizations*- Advised by: Roger Wiegand
- University of Wisconsin-La Crosse

**Kattchee, Karl**

*Minimum Independence Number of Graphs With Specified Degree Sequence*- Advised by: A. Jamie. Radcliffe
- University of Wisconsin-La Crosse

**Nelson, Patricia**

*Questions On and Uses of Local Cohomology*- Advised by: Thomas Marley
- Georgia Southwestern State University/no longer in academia

**Sapko, Victoria**

### 2000

*Frames in Hilbert Space and Matrices of Special Structure*- Advised by: Tom Shores
- State University of New York-Fredonia

**Abu-Jeib, Iyad**

*Initial - Boundary Value Problems for Nonlinear Wave Equations*- Advised by: Mohammad Rammaha
- St. Cloud State University

**Agre, Keith**

*Boundary Value Problems, Oscillation Theory, and the Cauchy function for Dynamic Equations on a Measure Chain*- Advised by: Allan Peterson
- University of Missouri-Rolla

**Akin, Elvan**

*Steiner Trigraphical Designs and Block-Size Bounds*- Advised by: Earl Kramer
- University of Wisconsin-Platteville

**Ira, Michael**

*The effect of time changes on Feynman's operational calculus as made rigorous by Wiener and Feynman integrals*- Advised by: Gerald Johnson
- University of St. Thomas

**Johnson, Lisa**

*Finite Cohen-Macaulay Type*- Advised by: Roger Wiegand
- University of Kansas (NSF Postdoc)/Syracuse University

**Leuschke, Graham**

*Resampling Methods in Small Area Estimation*- Advised by: Partha Lahiri
- University of Nebraska Medical Center

**Meza, Jane**

*Global Regularity for Nonlinear Wave Equations*- Advised by: Mohammad Rammaha
- Department of Defense/University of Texas at Arlington

**Strei, Theresa**

## 1990s

### 1999

*The uniform bifurcation of n'front traveling waves in the singularly perturbed FitzHugh-Nagumo equations*- Advised by: Bo Deng
- University of Nebraska-Lincoln/Electrical Engineering

**Bell, Darryl**

*Equations in Free Inverse Monoids*- Advised by: John Meakin
- University of Wisconsin-Platteville

**Deis, Tim**

*Discrete Approximations of Differential Operators By Sinc Method*- Advised by: Tom Shores
- Alphatech, Inc.

**Gierke, Paul**

*Chaotic attractors in one-dimension generated by a singular Sil'nikov orbit*- Advised by: Bo Deng
- Shawnee State University

**Maxon (Taylor), Krista Jean**

*Stability properties of Feynman's operational calculus*- Advised by: Gerald W. Johnson
- Creighton University

**Nielsen, Lance**

*Notes on Hamilton Paths and 2-Factors in Self-Complementary Graphs*- Advised by: A. Jamie Radcliffe
- Tillinghast-Towers Perrin

**Pollis, Tim**

*Well-Posedness of a Nonlinear, Nonlocal Problem Arising in Ion Transport*- Advised by: Steve Cohn
- Calvin College/Metropolitan State University

**Wagstrom, Rikki**

*Jackknife method in small area estimation and related problems*- Advised by: Partha Lahiri
- Lunghwa Institute of Technology

**Wan, Shu-Mei**

### 1998

*Disconjugacy of nth order linear difference equations*- Advised by: Allan Peterson
- Concordia College-Saint Paul

**Krueger, Robert**

*Prime ideals in birational extensions*- Advised by: Sylvia Wiegand
- University of Louisiana-Monroe

**Saydam, Serpil**

*Traceability schemes, frameproof codes, key distribution patterns and related topics -- a combinatorial approach*- Advised by: Earl Kramer (Math) and Doug Stinson (Computer Science)
- Lakehead University

**Wei, Ruizhong**

*On a test for multivariate normality and on certain statistical procedures for complex surveys*- Advised by: Partha Lahiri
- Center for Drug Evaluation

**Wu, Chien-Hua**

### 1997

*Discrete Hamiltonian systems*- Advised by: Allan Peterson
- Concordia College (MN)

**Anderson, Douglas R.**

*Multiple positive solutions to boundary value problems*- Advised by: Allan Peterson
- Utah State University/Dakota State University

**Avery, Richard Irvin**

*Empirical Bayes methods in survey sampling*- Advised by: Partha Lahiri
- Sam Houston State University

**Butar Butar, Ferry**

*Spurious eigenvalues in the spectral tau method*- Advised by: Steve Dunbar
- Lamar University

**Dawkins, Paul**

*Generators of fat point ideals on the projective plane*- Advised by: Brian Harbourne
- Florida Atlantic University/University of Northern Colorado

**Fitchett, Stephanie**

*Quotients of the multiplicative group of a field*- Advised by: Roger Wiegand
- Omaha North High School

**Holley, Darren J.**

*A transport equation in procus media with an oblique, evolutionary boundary condition*- Advised by: David Logan
- Concordia University (NE)

**Homp, Michelle Reeb**

*HNN etensions of inverse semigroups*- Advised by: John Meakin
- Cornelius University/Rose Hulman Institute of Technology

**Jajcayova, Tatiana**

*Inverse problems for singular differential equations*- Advised by: Thomas Shores
- RPI (NSF Postdoc)/Colorado State University

**Mueller, Jennifer L.**

*On graphical designs*- Advised by: Earl Kramer
- Shippensburg University/Nebraska Wesleyan University

**Olsen, Cheryl L.**

*Pseudovarieties of inverse monoids*- Advised by: John Meakin
- University of Alaska-Southeast/UNL

**Ruyle, Robert L.**

*Identities of finite semigroups and related questions*- Advised by: John Meakin
- Vanderbilt University

**Sapir, Olga B.**

*Analytical modeling of groundwater flow*- Advised by: Glenn Ledder
- University of South Dakota

**Van Peursem, Dan**

### 1996

*Theory and computation in hyperbolic model problems*- Advised by: Thomas Shores
- Jordan University of Science and Technology

**Al-Khaled, Kamel**

*Minimal generating sets of ideals and torsion in the tensor product of an ideal with its inverse*- Advised by: Roger Wiegand
- US Air Force Academy

**Herzinger, Kurt D**

*Vanishing of Tor on a complete intersection*- Advised by: Roger Wiegand
- University of Texas-Austin/University of Texas-Arlington

**Jorgensen, David A**.

*Disconjugacy of a third-order linear difference equation*- Advised by: Allan Peterson
- Lockheed-Martin

**Morelli, Michael**

*On the Bollobas inequality*- Advised by: A. Jamie Radcliffe
- University of South Dakota/Valparaiso University

**Szaniszlo, Zsuzsanna**

*Rewriting reduction and pruning reduction on Munn trees*- Advised by: John Meakin
- National Indemnity Insurance Co.

**Wang, Kaicheng**

*HNN extensions of inverse semigroups*- Advised by: John Meakin
- Telecommunications Advanced Organization of Japan

**Yamamura, Akihiro**

### 1995

*Fixed point techniques in cone theory with applications to difference equations*- Advised by: Allan Peterson
- Western Kentucky University

**Atici, Ferhan**

*Bayesian models for a change-point in failure rate*- Advised by: K.M. Saxena

**Campbell, Nancy L.**

*The discrete calculus of variations*- Advised by: Allan Peterson

**Harmsen, Betty Jean**

*Vertex-transitive graphs and maps and their automorphism groups*- Advised by: Spyros Magliveras (C.S.)

**Jajcay, Robert**

*Trend changes in failure rate and mean residual life, its relations and applications*- Advised by: Dong Ho Park

**Nam, Kyung Hyun**

*A problem in nonlinear ion transport*- Advised by: Thomas Shores
- Nebraska Wesleyan University

**Pfabe, Kristin A.**

*Exponentials of noncommuting operators via Feynman's operational calculus, and associated evolution equations*- Advised by: Gerald Johnson

**Reyes, Jose Tristan Fua**

### 1994

*Empirical Bayes and hierarchical Bayes estimation of small area characteristics*- Advised by: Partha Lahiri

**Arora, Vipin Kumar**

*One-dimensional rings of finite Cohen-Macaulay type*- Advised by: Roger Wiegand
- Hacettepe University

**Cimen, Nuri**

*Generators and resolutions of ideals defining certain surfaces in projective space*- Advised by: Brian Harbourne
- Southeast Community College

**Holay, Sandeep H.**

*An analytic Yeh-Feynman-Fourier transformation and convolution*- Advised by: David Skoug

**Huffman, Timothy J.**

*Partially ordered sets of prime ideals and prime filtrations of finitely generated modules*- Advised by: Sylvia Wiegand
- Montclair State University

**Li, Aihua**

*Stochastic comparisons of maintenance policies and Bayesian Imperfect Repair Model*- Advised by: Dong Ho Park

**Lim, Jae-Hak**

*On the algebra of semigroup diagrams*- Advised by: John Meakin

**Kilibarda, Vesna**

### 1993

*Optimization over and connectedness of the efficient set(s)*- Advised by: Jerald Dauer and Gerald Johnson
- Wayland Baptist University

**Fosnaugh, Timothy A.**

*A Feynman-Kac formula with a Lebesgue-Stieltjes measure for the one-dimensional Dirac equation, associated Dyson series and Feynman's operational calculus*- Advised by: Gerald Johnson
- Union University (TN)

**Riggs, Troy D.**

### 1992

*Path integrals, Fourier transforms and Feynman's operational calculus*- Advised by: Gerald Johnson

**Ahn, Byung Moo**

*Green's functions, Cauchy functions and cone theoretic eigenvalue results for difference equations*- Advised by: Allan Peterson
- Hastings College

**Schneider, John Martin**

### 1991

*Tilings with the neighborhood property and tiling lattice points with blocks*- Advised by: Earl Kramer

**Dobson Fosnaugh, Linda**

*On properties and constructions of t-designs, lambda designs and perpendicular arrays*- Advised by: Earl Kramer

**Wu, Qiu-rong**

### 1990

*Splitting of prime ideals and valuations*- Advised by: Roger Wiegand
- Maryville University

**Jia, Bao-Ping**

*Robust Bayesian analysis*- Advised by: K.M. Saxena

**Li, Yuanzhang**

*Criteria for disconjugacy and disfocality for an nth order linear difference equation*- Advised by: Allan Peterson

**Peil, Timothy**

*Self-similar solutions to the detonation equations in non-homogeneous media*- Advised by: David Logan

**Woerner, Edwin L.**

## 1980s

### 1989

*Applications of cone theory to boundary value problems*- Advised by: Allan Peterson

**Diaz, Gerald**

*A finite Dirichlet series related to Newman polynomials*- Advised by: Walter Mientka

**Goddard, Bartley E.**

### 1988

*Polynomial flows, symmetry groups and conditions sufficient for injectivity of maps*- Advised by: Gary Meisters

**Coomes, Brian A.**

*Scalarization of vector optimization problems and properties of the positive cone in normed vector lattices*- Advised by: Jerald Dauer

**Gallagher, Richard J.**

*Estimation of change points in failure rate models*- Advised by: K.M. Saxena
- Clemson University

**Kulasekera, Karunarathna**

*Inverse monoids and the dot-depth hierarchy*- Advised by: John Meakin

**Weil, Pascal**

### 1987

*A characterization of proper minimal points as solutions of sublinear optimization problems*- Advised by: Jerald Dauer

**Saleh, Ossama A.**

*Applications of automata theory to presentations of monoids and inverse monoids*- Advised by: John Meakin

**Stephen, Joseph B.**

### 1986

*Geometric approach to multiple objective optimization with application to multiple criteria decision making*- Advised by: Jerald Dauer

**El-Abyad, Abdelwahab**

*Boundary value problems for n-th order difference equations*- Advised by: Allan Peterson

**Hankerson, Darrel R.**

*Analysis of objective space in multiple objective optimization*- Advised by: Jerald Dauer

**Liu, Yi-Hsin**

### 1985

*Electromagnetic direct and inverse problems for absorbing media*- Advised by: Robert Krueger

**Beezley, Randall S.**

*Optimal linear combinations of consistent, asymptotically normal estimators*- Advised by: K.M. Saxena
- University of Nebraska at Omaha

**From, Steven G.**

### 1984

*Albegraic methods in the theory of combinatorial designs*- Advised by: Spyros Magliveras (C.S.)

**Kreher, Donald L.**

### 1982

*An algebraic approach to the steady state solution of G/G/1//N type loops*- Advised by: Lester Lipsky (C.S.)

**Liefvoort, Albertus H.A.**

### 1981

*A class of Io-sets*- Advised by: Gordon Woodward

**Grow, David E.**

*Right focal boundary value problems for ordinary differential equations*- Advised by: Lloyd Jackson

**Henderson, Johnny L.**

*Combinatorial properties of algebraic sets*- Advised by: Roger Wiegand

**Krauter, William W.**

*Vector integrals and products of vector measures*- Advised by: Rao Chivukula

**Sivasankara, Sastry A.**

*Multiple objective linear programming in objective space*- Advised by: Jerald Dauer

**Sebo, Donald E.**

### 1980

*A study of closed queueing networks with population size constaints*- Advised by: Lester Lipsky (C.S.)

**Carroll, John L.**

*Commutative torsion theories*- Advised by: Thomas Shores

**Pakala, Jagannadham V.**

*Inequalities for functions of order statistics under an additive and a multiplicative model*- Advised by: Yung Tong

**Smith, Norman L.**

## 1970s

### 1979

*Scale-invariant measurability in function spaces*- Advised by: Gerald Johnson

**Chang, Kun Soo**

### 1978

*The number of solutions to a system of divisibility conditions*- Advised by: Walter Mientka

**Meyer, Robert A.**

*Torsion theories with the bounded splitting property*- Advised by: Thomas Shores

**Call, Frederick W.**

*Rings of bounded module type*- Advised by: Roger Wiegand

**Midgarden, Bette Gene**

*Allocation of observations in ranking and selection problems via majorization and other related inequalities*- Advised by: Yung Tong

**Wetzell, David E**.

### 1977

*The strcuture of regular and inverse semigroups*- Advised by: John Meakin

**Byleen, Karl E.**

*The prime spectrum of a Bezout ring*- Advised by: Roger Wiegand

**Fischer, Thomas S.**

*Fractional derivatives and orders of distributions*- Advised by: Gary Meisters

**Franke, William Tadd**

*Arithmetical semigroup rings*- Advised by: Thomas Shores

**Hardy, Bonnie Rae**

*On distributions of compact support*- Advised by: Gary Meisters

**Petersen, Edith (Kregelius)**

*On Banach function spaces and p-sums of Banach spaces*- Advised by: Gerald Johnson

**Petersen, Loren Berne**

*Means with values in a Banach lattice and some results on tensor products*- Advised by: Rao Chivukula

**Ivatury, Ramabhadrasarma**

### 1976

*Controllability of nonlinear systems*- Advised by: Jerald Dauer

**Gahl, Robert Daniel**

### 1974

*Existence and uniqueness of solutions of boundary value problems for a third order differential equation*- Advised by: Lloyd Jackson

**Innes, Joan**

*A study of certain classes of regular semigroups*- Advised by: Donald Miller

**Onstad, Joseph Allen**

*Boundary value problems for nonlinear differential equations*- Advised by: Allan Peterson

**Sukup, Dwight**

### 1973

*The Cameron-Storvick operator-valued function space integrals for a class of finite-dimensional functionals*- Advised by: David Skoug

**Ewan, Robert Allan**

*Applications of order statistics to multivariate exponential distribution models*- Advised by: J. Srivastava and Lloyd Jackson

**Maik, Russell Louis**

*Uniqueness, existence, and comparison theorems for ordinary differential equations*- Advised by: Lloyd Jackson

**Peterson, Dale Edward**

*Perfect mappings and singular sets*- Advised by: Edwin Halfar

**Salmon, Ronald Dale**

*On a set-theoretic offshoot of the normal Moore space question*- Advised by: Harvey Baker, Jr.

**Smith, Neil Graham**

*Boundary value functions for nonlinear differential equations*- Advised by: Allan Peterson

**Spencer, James David**

### 1972

*Class functions in the general radical theory of rings and algebras*- Advised by: William Leavitt

**Enersen, Paul Oliver**

*Right simple congruences on a semigroup*- Advised by: Donald Miller

**Masat, Francis E.**

*A semantical theory and several deductive systems for universally free logic*- Advised by: Hubert Schneider

**Shipley, Charles Thomas**

*Conjectures regarding compact connected 2-dimensional topological lattices*- Advised by: Harvey Baker, Jr.

**Thomas, Kenneth Edwin**

### 1971

*Separation of nonassociates in a commutative ring by valuations*- Advised by: Max Larsen

**Brown, David Eugene**

*Convolutions and factorization theorems*- Advised by: Rao Chivukula

**Heckman, Randall Kirk**

*Order properties of L(E,F)*- Advised by: Rao Chivukula

**May, William Donley**

*On the structure of the Wright radical in topological rings and groups*- Advised by: Melvin Thornton

**Massagli, Robert Albert**

### 1970

*Polyanalytic functions*- Advised by: Paul Krajkiewicz

**Bosch, William W.**

*Prufer and valuation rings with zero divisors*- Advised by: Max Larsen

**Boisen, Monte B.**

*Valuation pairs and maximal partial homomorphisms*- Advised by: Max Larsen

**Kelly, Patrick Henry**

*A characterization of H(B) spaces*- Advised by: Jack Eidswick

**Leech, Robert Bruce**

*Reduction of matrices to a triangular form under similarity*- Advised by: William Leavitt

**Mosbo, Edward Paul**

*Operator semigroups and invariant linear functionals*- Advised by: Rao Chivukula

**Woodward, Walter**

## 1960s

### 1969

*The classification of rings by the characteristic free modules admitted*- Advised by: William Leavitt

**Bruning, Linda Mae Frank**

*On commutative splitting rings*- Advised by: Spencer Dickson

**Fuelberth, John Douglas**

### 1968

*On the construction and analysis of multi-factorial experimental designs*- Advised by: J. Srivastava

**Anderson, Donald Alfred**

*Investigations on the construction and existence of balanced fractional designs of 2^m series*- Advised by: J. Srivastava

**Chopra, Dharam Vir**

*Nonlinear boundary value problems and second order differential equations*- Advised by: Lloyd Jackson

**Erbe, Lynn Harry**

*Natural deduction and universal validity*- Advised by: Hubert Schneider

**Fox, David Franklin**

*Boundary value problems for second order ordinary differential equations*- Advised by: Lloyd Jackson

**Klaasen, Gene Allen**

*Oscillation and comparison theorems for second order linear differential equation*- Advised by: Arlington Fink

**StMary, Donal Frank**

*Rings which are radical extensions of subrings*- Advised by: William Leavitt

**Tangeman, Richard Louis**

*Torsion free injective modules*- Advised by: Spencer Dickson

**Teply, Mark Lawrence**

*Factorizable semigroups*- Advised by: Donald Miller

**Tolo, Kenneth William**

### 1967

*Structure of torsion modules*- Advised by: Spencer Dickson

**Alin, John Suemper**

*The integral from (-T/2) to (T/2) of Tp(t)dt, and the boundary value problem*

x' + p(t)x = 0, x(-T/2) = x(T/2) = 0- Advised by: Arlington Fink

**Eliason, Stanley Bruce**

*Mappings of irreducibly connected spaces*- Advised by: Edwin Halfar

**Pfeifer, Glenn Lee**

*Solutions to boundary value problems and periodic solutions of second-order nonlinear differential equations*- Advised by: Lloyd Jackson

**Schmitt, Klaus**

*The equation y'=f(x,y,lamda) on [a,infinity) with boundary conditions involving lambda*- Advised by: Arlington Fink

**Shreve, Warren Eugene**

### 1966

*The hereditary property in semisimple and radical classes*- Advised by: William Leavitt

**Armendariz, Efraim**

*A calculus of natural deduction for predicate logic with functional variables and identity*- Advised by: Hubert Schneider

**Brown, Joseph Gary**

*Asymptotic properties of a non-homogeneous generalization of the Galton-Watson branching process*- Advised by: John Birch

**Church, James Denton**

*Automorphism groups of semigroups*- Advised by: Donald Miller

**Dussere, Paul Louis**

*The multiplicative semigroup of a ring*- Advised by: Donald Miller

**Gilbert, Gary G.**

*The construction of the general theory of radicals*- Advised by: William Leavitt

**Hoffman, Anthony**

*Infinite semigroups having only finite proper homomorphs*- Advised by: Donald Miller

**Jensen, Bruce Ansgar**

*Boundary value problems for second-order ordinary differential equations on infinite intervals*- Advised by: Lloyd Jackson

**Schrader, Keith William**

### 1965

*The characterization of the solution sets for generalized reduced moment problems and applications*- Advised by: Bernard Harris

**Cobb, Ernest Benton**

*Boundary value problems for ordinary second order systems*- Advised by: Lloyd Jackson

**Heimes, Kenneth**

*The theory of radicals and radical rings*- Advised by: William Leavitt

**Jenkins, Terry Lloyd**

*Subfunctions for third order ordinary differential equations*- Advised by: Lloyd Jackson

**Mathsen, Ronald Melvin**

*The lattice of closed sets of commutative semigroup equations*- Advised by: Hubert Schneider

**Schwabauer, Robert Jacob**

### 1964

*Series solution of an almost periodic differential equation*- Advised by: Arlington Fink

**Frederickson, Paul Oliver**

### 1963

*Sieve methods and some applications*- Advised by: Walter Mientka

**Gross, Mildred Lucile**

*Phragmen-Lindelof theorems for second order quasi-linear elliptic partial differential equations*- Advised by: Lloyd Jackson

**Herzog, John Orlando**

*An extension problem for cancellative semigroups*- Advised by: Donald Miller

**Heuer, Charles Vernon**

*The generalized module type of a ring*- Advised by: William Leavitt

**Peinado, Rolando Enrique**

### 1962

*Subfunctions and their application to the boundary value problem for ordinary nonlinear second-order differential equations*- Advised by: Lloyd Jackson

**Bebernes, Jerrold**

### 1961

*A sub-function study of the Dirichlet problem for a quasi-linear differential equation*- Advised by: Lloyd Jackson

**Bohn, Sherman Elwood**

*Diagram normal forms and their applications to the theory of models*- Advised by: Hugo Ribeiro

**Suprunowicz, Konrad**

### 1960

*The boundary value problem for an ordinary nonlinear differential equation of second order*- Advised by: Lloyd Jackson

**Fountain, Leonard DuBois**

## Pre-1960

### 1957

*Some properties of basic order relations in the arithmetic of relation algebras*- Advised by: Hugo Ribeiro

**Keedy, Mervin Laverne**

### 1953

*Eigenfunction expansions associated with certain irreducible partial differential equations*- Advised by: Chester Camp

**Gass, Clinton Burke**

### 1947

*Certain doubly periodic functions of the third kind*- Advised by: Miguel Basoco

**Mundhjeld, Sigurd**

### 1941

*Basic hypergeometric series*- Advised by: Miguel Basoco

**Daum, John Andrew**

### 1937

*On certain fundamental identities due to Uspenky*- Advised by: Miguel Basoco

**Dwyer, Wendell Arthur**

### 1935

*The explicit arithmetized Fourier series developments for certain doubly periodic functions of the second kind*- Advised by: Miguel Basoco

**Nichols, Guerdon David**

### 1934

*On the summability of a certain class of series of Jacobi polynomials*- Advised by: William Brenke

**Cowgill, Allen Parker**

### 1929

*A certain multiple-parameter expansion*- Advised by: Chester Camp

**Doole, Howard Pollock**

### 1901

*Generalization of the differentiation process*- Advised by: Ellery Davis

**Moritz, Robert E.**

### 1899

*The cartesian ovals*- Advised by: Ellery Davis

**Engberg, Carl C.**

### 1898

*A general theorem relating to transversals, and its consequences*- Advised by: Ellery Davis

**Candy, Albert L.**