Ph.D. Alumni | Department of Mathematics

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2024
Name	Title	Advisor	Job (Original/Current)
Matt Enlow	Approximation via Degree Reduction of Nonlinearities with Applications to Turbulent Flows, Flame Fronts, and Magnetohydrodynamics	Adam Larios
Greg Faurot	On Regularity of Graph C*-Algebras	Chris Schafhauser	The Ohio State University
Allison Ganger	Spreads and Transversals and Their Connection to Geproci Sets	Brian Harbourne	Penn State University-Erie
Scott Hootman-Ng	On Neumann Boundary Conditions for Nonlocal Models with Finite Horizon	Petronela Radu	USDA
Nikola (Nik) Kuzmanovski	Discrete Macauley-Steiner Geometry	Jamie Radcliffe/Alexandra Seceleanu	Notre Dame
David Lieberman	Making Sandwiches: A Novel Invariant in D-Module Theory	Jack Jeffries	California State University, San Bernadino
Dylan McKnight	Gevrey Class Estimates Towards Null Controllability of a Fluid Structure Interaction System	George Avalos	Colorado Mesa University
Sara McKnight (Myers)	Semigroup well-posedness and finite element analysis of a Biot-Stokes interactive system	George Avalos	Colorado Mesa University
Nicholas Meyer	Torus Surgery, Fibrations, Multisections, and Spun 4-Manifolds	Alexander Zupan	University of Central Missouri
Isabel Safarik	Mathematical and Computational Analysis of Certain Regularizations for the 3D Navier-Stokes Equations and Non-local Peridynamic Conservation Laws	Adam Larios	Cooperative Institute for Research in the Atmosphere (CIRA)
Lawrence Seminario-Romero	An Analysis of Plant Response to Herbivory	Richard Rebarber/Brigitte Tenhumberg	Haverford College
Andrew Soto Levins	A Study on The Vanishing of Ext	Mark Walker	Texas Tech University
Kaitlin Tademy	Virtual Unknotting Numbers for Families of Virtual Torus Knots	Mark Brittenham	Harvey Mudd College
Anh Võ	Nonlocal Frameworks for Nonlinear Conservation Laws and Advection-Diffusion Processes	Petronela Radu	Occidental College
Catherine Zimmitti	Perturbations of Representations of Cartan Inclusions	David Pitts	Nebraska Wesleyan

2023
Name	Title	Advisor	Job (Original/Current)
Matthew Bachmann	Asymptotic growth of stable Ext modules	Mark Walker	Davidson College
Molly Creagar	Game-Theoretic Approaches to Optimal Resource Allocation and Defense Strategies in Herbaceous Plants	Richard Rebarber/Brigitte Tenhumberg	MITRE
Aurora DeBellevue	Effective Computations of Automatic Structures for HNN Extensions	Susan Hermiller/Mark Brittenham	Northrop Grumman
Ash DeClerk	Prefix-Rewriting: The Falsification by Fellow Traveler Property and Practical Computations	Susan Hermiller	North Dakota State University
Austin Eide	Aspects of the Averaging Process	Xavier Pérez Giménez	Toronto Metropolitan University
Rachel Funk	Positioning Undergraduate Learning Assistants in Instruction: A Case Study of the LA Role in Active Learning Mathematics Classrooms at the University of Nebraska-Lincoln	Yvonne Lai and Wendy Smith	UNL Center for Science, Mathematics and Computer Education
Brittany Johnson	Classroom Social Support: A Multiple Phenomenological Case Study of Mathematics Graduate Teaching Assistants’ Decision Making in the Classroom	Wendy Smith and Nathan Wakefield	Midland University
Jacob Kettinger	On The Superabundance of Singular Varieties in Positive Characteristic	Brian Harbourne	Colorado State University
Meraiah Martinez	On Dyadic Parity Check Codes and Their Generalizations	Christine Kelley	Benedictine College
Leilani Pai	Perfect matchings in random k-partite k-uniform hypergraphs	Xavier Pérez Giménez	Denison University
Andrew Quaisley	Intrinsic Tame Filling Functions and Other Refinements of Diameter Functions	Susan Hermiller and Mark Brittenham
Jason Vander Woude	Partitions of $\mathbb(R)^(n)$ with Maximal Seclusion and their Applications to Reproducible Computation	Vinod Variyam and Jamie Radcliffe	Sandia National Laboratories
Collin Victor	Recovery of Turbulent Fluids with Continuous Data Assimilation: Enhancing Results through Effective Observation and Assimilation	Adam Larios	Texas A&M University
Ana Wright	Gordian Distance and Complete Alexander Neighbors	Mark Brittenham and Alex Zupan	Davidson College
Frank Zimmitti	Unexpectedness Stratified by Codimension	Brian Harbourne	Sandhills Publishing

2022
Name	Title	Advisor	Job (Original/Current)
Laila Kettinger (Awadalla)	Level and Gorenstein projective dimension	Tom Marley
Nicole Buczkowski	Continuous Dependence of Solutions to Nonlocal Systems with Heterogeneous Kernels of Interaction	Mikil Foss and Petronela Radu	Worcester Polytechnic Institute
Michael DeBellevue	Bigraded Deviations, Rigidity, and the Koszul Property	Alexandra Seceleanu and Mark Walker	Syracuse University
Paula Egging	A Mixed Variational Formulation for the Wellposedness and Numerical Approximation of a PDE Model Arising in a 2-D Fluid-Fluid Interaction	George Avalos	Bryan Health Systems
Emily McMillon	Theory and Design of Graph-Based Codes for Improved Iterative and Windowed Decoding	Christine Kelley	Rice University/Virginia Tech (NSF Post Doc)
Hayley Olson	Mathematical Analysis for nonlocal nonlinear diffusion models	Mikil Foss and Petronela Radu	Carnegie Mellon University
Adam Volk	Extremal Problems in Graph Saturation and Covering	Jamie Radcliffe	Notre Dame

2021
Name	Title	Advisor	Job (Original/Current)
Juliana Bukoski	Free Semigroupoid Algebras from Categories of Paths	Allan Donsig	Georgetown College
Elizabeth Carlson	Enhanced Effication of Turbulent Flow Observations: Parameter Recovery, Sensitivity Analysis, Nonlinear Data Assimilation Algorithms, and a Real-World Implementation	Adam Larios	University of Victoria
Taran Funk	Frobenius and Homological Dimensions of Complexes	Tom Marley	USDA Meat Animal Research Center
Su Ji Hong	On the realization of real Schur roots as planar curves	Tri Lai and Kyoungyong Lee	Yale University
Eric Hopkins	N-Fold Matrix Factorizations	Mark Walker	College of the Ozarks
Erica Hopkins	Free Complexes over the Exterior Algebra with Small Homology	Alexandra Seceleanu and Mark Walker	Next Level Solutions
Robert Huben	Gauge-Invariant Uniqueness and Reductions of Ordered Groups	Mark Brittenham and David Pitts	Boston Fusion
Vince Longo	Results on Nonorientable Surfaces for Knots and 2-Knots	Mark Brittenham and Alex Zupan	St. Benedict/St, John's/Univ of Connecticut
Amadeus Martin	Curved BGG Correspondence	Mark Walker	Harvard University
Jesse Moeller	Results on Goeritz Groups and Farey Trisections	Mark Brittenham and Alex Zupan	SpaceX
George Nasr	A Combinatorial Formula for Kazhdan-Lusztig Polynomials of Sparse Paving Matroids	Jamie Radcliffe	University of Oregon
Alyssa Whittemore	Bootstrap Percolation on Random Geometric Graphs	Xavier Perez	Boston Fusion

2020
Name	Title	Advisor	Job (Original/Current)
Becklin, Andrew	Hadamard well-posedness for two nonlinear Structure Acoustic Models	Mohammad Rammaha	Drake University
Drabkin, Benjamin	Symbolic powers in algebra and geometry	Alexandra Seceleanu	Singapore University of Technology and Design
McMorris, David	Optimal Allocation of Two Resources in Annual Plants	Glenn Ledder	Christopher Newport University
Nir, Justin	Two Questions About Properties of Large Graphs: On Generalized Turán Numbers and the Chromatic Number of Random Lifts	Jamie Radcliffe	University of Manitoba/Oakland University
Reichenbach, Matt	Spectral Properites of a Non-compact Operator in Ecology	Richard Rebarber and Brigitte Tenhumberg	Geospatial Research Lab
Uhing, Karina	Exploring Pedagogical Empathy of Mathematics Graduate Student Instructors	Nathan Wakefield	University of Nebraska at Omaha
Williams, Marla	Trisections of Surface Bundles over Surfaces	Mark Brittenham and Alex Zupan	Christopher Newport University

Name	Title	Advisor	Job (Original/Current)
DeSantis, Derek	Operator algebras generated by left invertibles	David Pitts	Los Alamos National Lab
Hamidi, Mitch	Admissibility of C*-Covers and Crossed Products of Operator Algebras	Allan Donsig	Embry-Riddle Aeronautical University
Hu, Wei	Caputo Nabla Fractional Boundary Value Problems and Integral Inequalities on Time Scales	Al Peterson	Tusculum University
Ismert, Lara	Unbounded Derivations of C*-algebras and the Heisenberg Commutation Relation	Allan Donsig and David Pitts	Embry-Riddle Aeronautical University
Jamieson, William	Individual Based Model to Simulate the Evolution of Insecticide Resistance	Richard Rebarber and Brigitte Tenhumberg	NASA Goddard
Packauskas, Nick	Quasi-Polynomial Growth of Betti Sequences over Complete Intersection Rings	Lucho Avramov and Mark Walker	SUNY Cortland
Pollitz, Joshua	The derived categories of a locally complete intersection ring	Lucho Avramov and Mark Walker	University of Utah (NSF Postdoc)
Poppelreiter, Nathan	Dynamic Observers for Unknown Populations	Richard Rebarber and Brigitte Tenhumberg	Boston Fusion
Setniker, Ariel	Sequential Differences in Nabla Fractional Calculus	Al Peterson	California State University Maritime Academy
Tucker, Katherine	The t3, t4 conjecture for links	Mark Brittenham and Susan Hermiller	Northrop Grumman

Name	Title	Advisor	Job (Original/Current)
Beemer, Allison	Design and Analysis of Graph-based Code using Algebraic Lifts and Decoding Networks	Christine Kelley	Arizona State, New Jersey Institute of Technology, and the Army Research Lab/University of WI-Eau Claire
Bolkema, Jessalyn	Graph-theorectic aspects of polar codes	Judy Walker	State University of New York at Oswego/Harvey Mudd College
Canton, Eric	F-purity, Strong F-regularity, and log canonical thresholds using Berkovich spaces^2	Mark Walker and Brian Harbourne	University of Michigan/Enel X North America
De Silva, Jessica	Graphs with few spanning substructures	Jamie Radcliffe	Cal State University, Stanislaus
Gheibi, Mohsen	Geometrically linked ideals and Gorenstein Dimension	Mark Walker and Roger Wiegand	University of Texas, Arlington
Gensler, Scott	Fractional Difference Equations and Solutions to BVPs	Al Peterson	University of Nebraska at Kearney
Groothuis, Corbin	Four Mathematical Results on a Theme by Paganini	John Meakin and Jamie Radcliffe	Department of Defense
Ikram, Areeba	Green's Functions and Lyapuov Inequalities for Nabla Caputo Boundary Value Problems	Al Peterson	Colorado School of Mines
Jamieson, Jessie	On the well-posedness and global boundary controllability of a nonlinear beam model	George Avalos and Daniel Toundykov	Johns Hopkins Applied Physics Laboratory
Kass, Nicholas	Damped wave equations of the p-Laplacian type with supercritical sources	Mohammad Rammaha	University of Nebraska at Omaha
Kirsch, Rachel	K_1,∆+1-free and K_ω+1-free Graphs with Many Cliques	Jamie Radcliffe	London School of Economics
Lindokken, Seth	Resolutions of Finite Length Modules over Complete Intersections	Mark Walker	University of Dubuque/Milliman
Mayer, Carolyn	On Coding for Partial Erasure Channels	Christine Kelley	Worchester Polytechnic Institute/Sandia National Lab
Miller, Erica	High Cognitive Demand Examples in Precalculus: Examining the Work and Knowledge Entailed in Enactment	Yvonne Lai	Virginia Commonwealth University
Mills, Matthew	On maximal green sequences, local–acyclicity, and upper cluster algebras	Kyungyong Lee	Michigan State (NSF Post Doc)
Steinburg, Neil	A Tensor's Torsion	Tom Marley and Roger Wiegand	Drake University/South Dakota School of Mines
Wells, Kelsey	Properties and convergence of state-based Laplacians	Petronela Radu	Department of Defense
White, Laura	Behavior Of Solutions To Nonlocal Hyperbolic Diffusion and Doubly Nonlocal Cahn-Hilliard Equations	Petronela Radu	NASA Langley
Wright, Cory	Existence and Regularity of Minimizers for Nonlocal Functionals	Mikil Foss and Petronela Radu	Lehigh University

Name	Title	Advisor	Job (Original/Current)
Ahrendt, Kevin	Solving Initial and Boundary Value Problems for a Self-Adjoint Difference Equation Involving Fractional Derivatives	Al Peterson	Colorado School of Mines
Akesseh, Solomon	Ideal Containments under Flat Extensions and Interpolation on Linear Systems in P^2	Brian Harbourne	Yale Law School, J.D. Candidate
Falahola, Brittney	Characterizations of Gorenstein Rings Using Frobenius	Tom Marley	Stephen F. Austin State University
Ferraro, Luigi	Stable Cohomology of Local Rings and Castelnuovo-Mumford Regularity of Graded Modules	Lucho Avramov	Wake Forest University
Franke, Maranda	Languages, geodesics, and HNN extensions	Mark Brittenham and Susan Hermiller	Center for Communications Research, Princeton
McKain, Brent	Antichains and Diameters of Set Systems	Jamie Radcliffe	National Indemnity, Omaha/Nebraska Wesleyan University
Myers, John	Characterizations of Minimal Multiplicity via Ext-Algebras	Lucho Avramov	State University of New York at Oswego
Russell, Travis	Abstract characterizations of ordered operator spaces	Allan Donsig	United States Military Academy/Dartmouth
Tomlinson, Charles	Extremal Problems for Graph Homomorphisms and Automata	Jamie Radcliffe	Center for Communications Research, Princeton
Windle, Andrew	Cohomological Operators On Quotients by Quasi-Complete Intersection Ideals	Mark Walker	Rockhurst University/Cerner Corporation

Name	Title	Advisor	Job (Original/Current)
Dailey, Douglas	Rigidity of the Frobenius and Matlis Duality	Tom Marley	University of Dallas/ Christendom College, VA
Edholm, Christina	Management of Diaprepes Root Weevils through Control Theory	Richard Rebarber/Brigitte Tenhumberg	University of Tennessee, NIMBioS/Scripps
Egg, Rebecca	Cohen-Macaulay dimension for coherent rings	Tom Marley	Dakota County Technical College/Genesis10
Inam, Muhammad	Adian inverse semigroups	Mark Brittenham/John Meakin	University of West Georgia
Lutz, Jason	Homological characterizations of quasi-complete intersections	Lucho Avramov/Srikanth Iyengar	Gonzaga University/Unknown
Owad, Nicholas	Bridge spectra of cables of 2-bridge knots	Mark Brittenham/Susan Hermiller	Gettysburg College/Okinawa Institute for Science and Technology
Parmelee, Caitlyn	Applications of Discrete Mathematics for Understanding Dynamics of Synapses and Networks in Neuroscience	Carina Curto/Jamie Radcliffe	Keene State College
St. Goar, Julia	A Caputo Boundary Value Problem in Nabla Fractional Calculus	Al Peterson	Merrimack College
Thompson, Peder	Stable local cohomology and cosupport	Mark Walker	Texas Tech University/NTNU

Name	Title	Advisor	Job (Original/Current)
Behrens, Sarah	Graph centers, hypergraph degree sequences, and induced-saturation	Stephen Hartke	EPIC, Madison, WI
Brown, Michael	Knörrer periodicity and Bott periodicity	Mark Walker	Hausdorff Center for Mathematics
Dyer, Scott	The Strict Higher Grothendieck Integral	Mark Brittenham and Susan Hermiller
Gipson, Philip	Invariant basis number and basis type for C*-algebras	David Pitts	SUNY Cortland
Keough, Lauren	Extremal results for the number of matchings and independent sets	Jamie Radcliffe	Davidson College/Grand Valley State University
Keel (Hinds), Brittney	Bioinformatic game theory and its application to cluster multi-domain proteins	Bo Deng and Etsuko Moriyama	USDA Meat Animal Research Center
Kerian, Anne	Crosscap number: Handcuff graphs and Unknotting number	Mark Brittenham	Ave Maria University
Nu'man, Anisah	Tame Filling Invariants and Closure Properties	Mark Brittenham and Susan Hermiller	Trinity College/Ursinus College/Spelman College
Reynolds, Sara	Dynamics of Interacting Populations: Consumer-Resource Systems and Evolutionary Outcomes for Cannibalistic Spiders	Glenn Ledder and Chad Brassil	Mississippi State University
Roth, Zachary	Analysis of neuronal sequences using pairwise biases	Vladimir Itskov and Judy Walker
Schafhauser, Christopher	Generalizations of AF-embedding theorems of Brown and Pimsner	Allan Donsig and David Pitts	University of Waterloo/University of Nebraska-Lincoln
Shultis, Katharine	Systems of parameters and the Cohen-Macaulay property	Srikanth Iyengar and Roger Wiegand	Gonzaga University
Trageser, Jeremy	Local and Nonlocal Models in Thin-plate and Bridge Dynamics	Petronela Radu and Daniel Toundykov	George Washington University
Webb, Marcus	Frobenius and homological dimensions	Tom Marley	Stephen F. Austin University
Yang, Zhang	Betti sequences over local rings and connected sums of Gorenstein rings	Lucho Avramov	Miami University

Name	Title	Advisor	Job (Original/Current)
Brackins, Abigail	Boundary value problems in nabla fractional difference equations	Lynn Erbe and Allan Peterson	Anne Arundel Community College
Carraher, James	Results on edge-colored graphs and pancyclicity	Stephen Hartke	University of Nebraska at Kearney
Clark, Tom	An applied functional and numerical analysis of a 3-D fluid-structure interactive PDE	George Avalos	Dordt College
Hardin, Jason	Algebraic properties of ext-modules over complete intersections	Mark Walker	Worcester State University
Haymaker, Kathryn	Combinatorial and algebraic coding techniques for flash memory storage	Christine Kelley	Villanova University
Pei, Pei	Well-posedness and stability of a semilinear Mindlin-Timoshenko plate model	Mohammad Rammaha and Daniel Toundykov	Earlham College/Otterbein University
Youngs, Nora	The neural ring; using algebraic geometry to analyze neural codes	Carina Curto	Harvey Mudd College/Colby College

Name	Title	Advisor	Job (Original/Current)
Auch, Tanner	Development and application of difference and fractional calculus on discrete time scales	Lynn Erbe and Allan Peterson	Oklahoma Baptist University/Bethel University
Awasthi, Pushp	Boundary value problems for discrete fractional equations	Lynn Erbe and Allan Peterson
Boeckner, Derek	Directed threshold graphs and directed graph limits	Jamie Radcliffe	University of Nebraska at Kearney
Corwin, Nathan	Embedding and nonembedding results for R. Thompson’s group V and related groups	Mark Brittenham and Collin Bleak	Rutgers University/ Villanova University
Croll, Amanda	Periodic modules over Gorenstein local rings	Srikanth Iyengar	Concordia University, Irvine, CA
Denkert, Annika	Results on containments and resurgences, with a focus on ideals of points in the plane	Brian Harbourne	University of Nebraska-Lincoln
DeVries, Melanie	Unknotting Moves of Virtual Knots	Mark Brittenham and Susan Hermiller	IDx / Uplift Delivery
Geisbauer, Joseph	Regularity for solutions to parabolic systems and nonlocal minimization problems	Mikil Foss	Nebraska Book Company/Neebo
Gibbons, Courtney	Decompositions of Betti diagrams	Luchezar Avramov and Roger Wiegand	Hamilton College, Clinton, NY
Janssen, Michael	Symbolic powers of ideals in k[P^N]	Brian Harbourne	Hyland Software, Inc./ Dordt College
Johnson, Ashley	Closure properties and other examples of (Auto)stackable groups	Mark Brittenham and Susan Hermiller	University of North Alabama
Nolting, Ben	Random Search Models of Foraging Behavior: Theory, Simulation and Observation	David Logan and Chad Brassil	Case Western Reserve
Yu, Xuan	Geometric study of the category of matrix factorizations	Mark Walker	University of Antwerp, Belgium

Name	Title	Advisor	Job (Original/Current)
Alyousef, Khulud	Boundary value problems for discrete fractional equations	Lynn Erbe and Al Peterson	King Faisel University, Saudi Arabia
Celikbas, Ela	Prime ideals in two-dimensional noetherian domains and fiber products and connected sums	Sylvia Wiegand and Mark Walker	University of Missouri/ West Virginia University
Eager, Eric	Modeling and mathematical analysis of plant models in ecology	Richard Rebarber and Brigitte Tenhumberg	University of Wisconsin-LaCrosse
Goodrich, Christopher	An analysis of nonlocal boundary value problems of fractional and integer order	Lynn Erbe and Al Peterson	Creighton Prep/University of Rhode Island
Guo, Yanqiu	Systems of nonlinear wave equations with damping and supercritical sources	Mohammad Rammaha	Weizmann Institute of Science, Israel/Florida International University
Johnson, Brian	Commutative rings graded by abelian groups	Tom Marley	Florida Gulf Coast University
Johnson, Katherine	The weak discrepancy and linear extension diameter of grids and other posets>	Jamie Radcliffe	Florida Gulf Coast University
Morrison, Katherine	Equivalence and duality for rank-metric and matrix codes	Judy Walker	University of Northern Colorado
Stolee, Derrick	Combinatorics using computational methods	Stephen Hartke and N.V. Vinodchandran	University of Illinois at Urbana-Champaign/Iowa State University

Name	Title	Advisor	Job (Original/Current)
DeVries, Justin	On the rank of multi-graded differential modules	Srikanth Iyengar
Fey, Kyle	On Morrey spaces in the calculus of variations	Mikil Foss	Luther College
Grilliette, William	Formalizing categorical and algebraic constructions in operator theory	David Pitts	Alfred University/University of Texas at Tyler
Holm, Michael	Discrete fractional calculus: Development and application	Lynn Erbe and Al Peterson	Department of Defense
Kamalov, Firuz	Covariant Representations of C*-dynamical Systems with Compact Groups	Allan Donsig	Canadian University of Dubai
Leamer, Micah	Homology of artinian modules over commutative noetherian rings	Srikanth Iyengar and Roger Wiegand
Lynch, Laura	Annihilators of local cohomology modules	Tom Marley	College of Coastal Georgia
McCune, David	Groups and semigroups gnerated by automata	Susan Hermiller and John Meakin	William Jewel College
McDonnell, Lori	Hilbert-Samuel and Hilbert-Kunz functions of zero-dimensional ideals	Tom Marley	Missouri Western State University
Pierce, Ian	On a Family Of Generalized Wiener Spaces and Applications	David Skoug	St. Olaf College
Ray, Andrew	Extremal trees and reconstruction	Jamie Radcliffe	Walmart, Inc.
Seacrest, Tyler	Packings and realizations of degree sequences with specified substructures	Stephen Hartke	University of Montana Western
Wilstein, Zahava	Global well-posedness of a nonlinear wave equation with p-Laplacian damping	Mohammad Rammaha	Berry College

Name	Title	Advisor	Job (Original/Current)
Ahrendt, Christopher	Properties of the generalized Laplace transform and transport partial dynamic equation on time scales	Lynn Erbe and Allan Peterson	University of Wisconsin-Eau Claire
Axvig, Nathan	Applications of linear programming to coding theory	Judy Walker	Virginia Military Institute/Concordia College
Burke, Jesse	Cohomology over complete intersection rings	Srikanth Iyengar	University of Bielefeld, Germany/UCLA
Celikbas, Olgur	Vanishing of Ext and Tor over complete intersections	Mark Walker and Roger Wiegand	University of Kansas/University of Missouri
DeLegge, Anthony	Mathematical modeling of optimal seasonal reproduction strategies of plant populations and a comparison of long-term viabilities of annuals and perennials	Steve Dunbar	Benedictine University
Dreher, Deanna	Pseudocodewords on graph covers and computation trees	Judy Walker
Henriques, Inés Bonacho dos Anjos	Quasi-complete intersection ideals with applications to free resolutions over artinian rings	Luchezar Avramov	University of California, Riverside
Saccon, Silvia	One-dimensional local rings of infinite Cohen-Macaulay type	Roger Wiegand	University of Arizona

2001
Name	Title	Advisor	Job (Original/Current)
Chen, Shijie	Empirical Best Prediction and Hierarchical Bayes Methods in Small-area Estimation	Partha Lahiri
Hoffacker, Jo	Green's Functions and Eigenvalue Comparisons for Higher Order Equations on Time Scales	Allan Peterson	University of Georgia-Athens/Clemson University
Kattchee, Karl	Monoids, Direct-Sum Decompositions, and Elasticity of Factorizations	Roger Wiegand	University of Wisconsin-La Crosse
Nelson, Patricia	Minimum Independence Number of Graphs With Specified Degree Sequence	A. Jamie. Radcliffe	University of Wisconsin-La Crosse
Sapko, Victoria	Questions On and Uses of Local Cohomology	Thomas Marley	Georgia Southwestern State University/no longer in academia

1999
Name	Title	Advisor	Job (Original/Current)
Bell, Darryl	The uniform bifurcation of n'front traveling waves in the singularly perturbed FitzHugh-Nagumo equations	Bo Deng	University of Nebraska-Lincoln/Electrical Engineering
Deis, Tim	Equations in Free Inverse Monoids	John Meakin	University of Wisconsin-Platteville
Gierke, Paul	Discrete Approximations of Differential Operators By Sinc Method	Tom Shores	Alphatech, Inc.
Maxon (Taylor), Krista Jean	Chaotic attractors in one-dimension generated by a singular Sil'nikov orbit	Bo Deng	Shawnee State University
Nielsen, Lance	Stability properties of Feynman's operational calculus	Gerald W. Johnson	Creighton University
Pollis, Tim	Notes on Hamilton Paths and 2-Factors in Self-Complementary Graphs	A. Jamie Radcliffe	Tillinghast-Towers Perrin
Wagstrom, Rikki	Well-Posedness of a Nonlinear, Nonlocal Problem Arising in Ion Transport	Steve Cohn	Calvin College/Metropolitan State University
Wan, Shu-Mei	Jackknife method in small area estimation and related problems	Partha Lahiri	Lunghwa Institute of Technology

1998
Name	Title	Advisor	Job (Original/Current)
Krueger, Robert	Disconjugacy of nth order linear difference equations	Allan Peterson	Concordia College-Saint Paul
Saydam, Serpil	Prime ideals in birational extensions	Sylvia Wiegand	University of Louisiana-Monroe
Wei, Ruizhong	Traceability schemes, frameproof codes, key distribution patterns and related topics -- a combinatorial approach	Earl Kramer (Math) and Doug Stinson (Computer Science)	Lakehead University
Wu, Chien-Hua	On a test for multivariate normality and on certain statistical procedures for complex surveys	Partha Lahiri	Center for Drug Evaluation

1995
Name	Title	Advisor	Job (Original/Current)
Atici, Ferhan	Fixed point techniques in cone theory with applications to difference equations	Allan Peterson	Western Kentucky University
Campbell, Nancy L.	Bayesian models for a change-point in failure rate	K.M. Saxena
Harmsen, Betty Jean	The discrete calculus of variations	Allan Peterson
Jajcay, Robert	Vertex-transitive graphs and maps and their automorphism groups	Spyros Magliveras (C.S.)
Nam, Kyung Hyun	Trend changes in failure rate and mean residual life, its relations and applications	Dong Ho Park
Pfabe, Kristin A.	A problem in nonlinear ion transport	Thomas Shores	Nebraska Wesleyan University
Reyes, Jose Tristan Fua	Exponentials of noncommuting operators via Feynman's operational calculus, and associated evolution equations	Gerald Johnson

Name	Title	Advisor	Job (Original/Current)
Au, Suanne	Fan cohomology and its application to equivariant K-theory of toric varieties	Mark Walker	LeMoyne College
Dahal, Rajendra	Dynamic equations on time scales	Lynn Erbe and Allan Peterson	Coastal Carolina University
Einfeld, Duane	Combinatorial and commutative manipulations in Feynman's operational calculi for noncummuting operators	Gerald Johnson	Department of Defense
Huang, Mu-wan	Fan cohomology and equivalent Chow rings of toric varieties	Mark Walker	Southwest Minnesota State University
Lubben, Joan	Modeling and analysis of biological populations	Richard Rebarber and Brigitte Tenhumberg	Dakota Wesleyan University
Parrott, Amy	A Computational Study of the Effects of Temperature Variation on Turtle Egg Development, Sex Determination, and Population Dynamics	David Logan	University of Wisconsin Oshkosh
Rahmati, Hamidreza	Properties of local rings and resolutions of modules	Luchezar Avramov and Srikanth Iyengar	Texas Tech University/Syracuse University

Name	Title	Advisor	Job (Original/Current)
Berger, Heidi Feller	Solving boundary value problems using critical point theory	Lynn Erbe and Allan Peterson	Simpson College
Bockelman, Brian	Solving partial differential equations with sinc methods	Thomas Shores and David Swanson	University of Nebraska-Lincoln
Crabbe, Andrew	Hilbert polynomials and building large indecomposable modules	Roger Wiegand	Student at University of Pennsylvania Medical School
Dvorak, Matthew	Qualitative and quantitative analysis of a fluid-structure interactive partial differential equation model	George Avalos	Department of Defense
Eubanks-Turner, Christina	Prime ideals in low-dimensional mixed polynomials/power series rings	Sylvia Wiegand	University of Louisiana at Lafayette/Loyola Marymount University
Ford, Pari	Polynomial LYM inequalities and association schemes on lattices	Jamie Radcliffe	University of Nebraska at Kearney/Bethany College
Gregg, Martha	C-extreme points of the generalized state space of a commutative C-algebra	David Pitts	Augustana University
Higgins, Raegan	Oscillation Theory of Dynamic Equations on time scales	Lynn Erbe and Allan Peterson	Texas Tech University
Milan, David	C*-algebras of inverse semigroups	John Meakin and David Pitts	University of Texas at Tyler
Hummel, Livia Miller	A theory of non-Noetherian Gorenstein rings	Thomas Marley	University of Indianapolis
Moore, Frank	Cohomology of products of local rings	Luchezar Avramov	Cornell University/Wake Forest University
Sakuntasathien, Sawanya	Global well-posedness for systems of nonlinear wave equations	Mohammad Rammaha	Silpakorn University, Thailand

Name	Title	Advisor	Job (Original/Current)
Brown Kramer, Josh	Two Problems in Extremal Set Theory	Jamie Radcliffe	Illinois Wesleyan University/Nebraska Global
Buchholz, Bobbi	Self-Adjoint Matrix Equations on Time Scales	Allan Peterson and Lynn Erbe	Hastings College
Cokeley, Paul	Boundary and localized null controllability and corresponding minimal norm control blow up rates of thermoelastic and structurally damped systems	George Avalos	World Link Education
Davis, Jennifer Everson	Algebraic Geometric Codes on Anticanonical Surfaces	Brian Harbourne and Judy Walker	Rockwell Collins
Luckas, Melissa	Ranks and bounds for indecomposable modules over one-dimensional Noetherian rings	Sylvia Wiegand
Weiss, Jacob	Second Order Dynamic Equations on Time Scales	Lynn Erbe and Allan Peterson	University of Nebraska at Kearney
White, Diana	Proper resolutions and their applications	Sean Sather-Wagstaff	University of South Carolina/University of Colorado Denver

Name	Title	Advisor	Job (Original/Current)
Bartley, Katherine	Decoding Algorithms for Algebraic Geometric Codes over Rings	Judy Walker	Department of Defense
Haataja, Steve	Amalgamation of inverse semigroups and operator algebras	Allan Donsig and John Meakin	Deceased
James, Justin	Some Decision Problems in Group Theory	Susan Hermiller and John Meakin	Minnesota State University - Moorhead
Loeb, Ed	Quantum Error-Correcting Codes: From Stabilizer Codes to Induced Codes	Tom Marley and Judy Walker	Southwestern College (KS)

Name	Title	Advisor	Job (Original/Current)
Baeth, Nicholas	Representation Theory of One-dimensional Local Rings of Finite Cohen-Macaulay Type	Roger Wiegand	University of Central Missouri/Franklin & Marshall College
Koetz, Matthew	Algebraic Constructions of Low-Density Parity Check Codes	Judy Walker	Nazareth College
Langdon, Jennifer	Asymptotic Behavior of Linear Dynamic Equations on Time Scales	Lynn Erbe and Allan Peterson	Lagrange College/Wayne State College

Name	Title	Advisor	Job (Original/Current)
Lindblad, Steve	Inverse Monoids Presented by a Single Sparse Relator	Susan Hermiller and John Meakin	Hewit Associates, San Francisco
Messer, Kirsten	Dynamic Equations on Time Scales	Al Peterson	Defense Intelligence Agency

Name	Title	Advisor	Job (Original/Current)
Arnavut, Meral	Decomposition of modules over one-dimensional rings	Sylvia Wiegand	State University of New York-Fredonia
Crittenden, Paul	Electromagnetic Sensing of Chiral Materials	Steve Cohn	University of Nebraska-Lincoln/Jacksonville University
Karr, Ryan	Direct-sum Cancellation of Lattices over Orders in Global Fields	Roger Wiegand	Florida Atlantic University/University of Wisconsin-Parkside
Wolesensky, William	Mathematical Models of Digestion Modulation in Grasshoppers	David Logan	College of St. Mary/Doane College

Name	Title	Advisor	Job (Original/Current)
Abu-Jeib, Iyad	Frames in Hilbert Space and Matrices of Special Structure	Tom Shores	State University of New York-Fredonia
Agre, Keith	Initial - Boundary Value Problems for Nonlinear Wave Equations	Mohammad Rammaha	St. Cloud State University
Akin, Elvan	Boundary Value Problems, Oscillation Theory, and the Cauchy function for Dynamic Equations on a Measure Chain	Allan Peterson	University of Missouri-Rolla
Ira, Michael	Steiner Trigraphical Designs and Block-Size Bounds	Earl Kramer	University of Wisconsin-Platteville
Johnson, Lisa	The effect of time changes on Feynman's operational calculus as made rigorous by Wiener and Feynman integrals	Gerald Johnson	University of St. Thomas
Leuschke, Graham	Finite Cohen-Macaulay Type	Roger Wiegand	University of Kansas (NSF Postdoc)/Syracuse University
Meza, Jane	Resampling Methods in Small Area Estimation	Partha Lahiri	University of Nebraska Medical Center
Strei, Theresa	Global Regularity for Nonlinear Wave Equations	Mohammad Rammaha	Department of Defense/University of Texas at Arlington

Name	Title	Advisor	Job (Original/Current)
Anderson, Douglas R.	Discrete Hamiltonian systems	Allan Peterson	Concordia College (MN)
Avery, Richard Irvin	Multiple positive solutions to boundary value problems	Allan Peterson	Utah State University/Dakota State University
Butar Butar, Ferry	Empirical Bayes methods in survey sampling	Partha Lahiri	Sam Houston State University
Dawkins, Paul	Spurious eigenvalues in the spectral tau method	Steve Dunbar	Lamar University
Fitchett, Stephanie	Generators of fat point ideals on the projective plane	Brian Harbourne	Florida Atlantic University/University of Northern Colorado
Holley, Darren J.	Quotients of the multiplicative group of a field	Roger Wiegand	Omaha North High School
Homp, Michelle Reeb	A transport equation in procus media with an oblique, evolutionary boundary condition	David Logan	Concordia University (NE)
Jajcayova, Tatiana	HNN etensions of inverse semigroups	John Meakin	Cornelius University/Rose Hulman Institute of Technology
Mueller, Jennifer L.	Inverse problems for singular differential equations	Thomas Shores	RPI (NSF Postdoc)/Colorado State University
Olsen, Cheryl L.	On graphical designs	Earl Kramer	Shippensburg University/Nebraska Wesleyan University
Ruyle, Robert L.	Pseudovarieties of inverse monoids	John Meakin	University of Alaska-Southeast/UNL
Sapir, Olga B.	Identities of finite semigroups and related questions	John Meakin	Vanderbilt University
Van Peursem, Dan	Analytical modeling of groundwater flow	Glenn Ledder	University of South Dakota

Name	Title	Advisor	Job (Original/Current)
Al-Khaled, Kamel	Theory and computation in hyperbolic model problems	Thomas Shores	Jordan University of Science and Technology
Herzinger, Kurt D	Minimal generating sets of ideals and torsion in the tensor product of an ideal with its inverse	Roger Wiegand	US Air Force Academy
Jorgensen, David A	.Vanishing of Tor on a complete intersection	Roger Wiegand	University of Texas-Austin/University of Texas-Arlington
Morelli, Michael	Disconjugacy of a third-order linear difference equation	Allan Peterson	Lockheed-Martin
Szaniszlo, Zsuzsanna	On the Bollobas inequality	A. Jamie Radcliffe	University of South Dakota/Valparaiso University
Wang, Kaicheng	Rewriting reduction and pruning reduction on Munn trees	John Meakin	National Indemnity Insurance Co.
Yamamura, Akihiro	HNN extensions of inverse semigroups	John Meakin	Telecommunications Advanced Organization of Japan

Name	Title	Advisor	Job (Original/Current)
Arora, Vipin Kumar	Empirical Bayes and hierarchical Bayes estimation of small area characteristics	Partha Lahiri
Cimen, Nuri	One-dimensional rings of finite Cohen-Macaulay type	Roger Wiegand	Hacettepe University
Holay, Sandeep H.	Generators and resolutions of ideals defining certain surfaces in projective space	Brian Harbourne	Southeast Community College
Huffman, Timothy J.	An analytic Yeh-Feynman-Fourier transformation and convolution	David Skoug
Li, Aihua	Partially ordered sets of prime ideals and prime filtrations of finitely generated modules	Sylvia Wiegand	Montclair State University
Lim, Jae-Hak	Stochastic comparisons of maintenance policies and Bayesian Imperfect Repair Model	Dong Ho Park
Kilibarda, Vesna	On the algebra of semigroup diagrams	John Meakin

Name	Title	Advisor	Job (Original/Current)
Fosnaugh, Timothy A.	Optimization over and connectedness of the efficient set(s)	Jerald Dauer and Gerald Johnson	Wayland Baptist University
Riggs, Troy D.	A Feynman-Kac formula with a Lebesgue-Stieltjes measure for the one-dimensional Dirac equation, associated Dyson series and Feynman's operational calculus	Gerald Johnson	Union University (TN)

Name	Title	Advisor	Job (Original/Current)
Ahn, Byung Moo	Path integrals, Fourier transforms and Feynman's operational calculus	Gerald Johnson
Schneider, John Martin	Green's functions, Cauchy functions and cone theoretic eigenvalue results for difference equations	Allan Peterson	Hastings College

Name	Title	Advisor	Job (Original/Current)
Dobson Fosnaugh, Linda	Tilings with the neighborhood property and tiling lattice points with blocks	Earl Kramer
Wu, Qiu-rong	On properties and constructions of t-designs, lambda designs and perpendicular arrays	Earl Kramer

Name	Title	Advisor	Job (Original/Current)
Jia, Bao-Ping	Splitting of prime ideals and valuations	Roger Wiegand	Maryville University
Li, Yuanzhang	Robust Bayesian analysis	K.M. Saxena
Peil, Timothy	Criteria for disconjugacy and disfocality for an nth order linear difference equation	Allan Peterson
Woerner, Edwin L.	Self-similar solutions to the detonation equations in non-homogeneous media	David Logan

Name	Title	Advisor	Job (Original/Current)
Diaz, Gerald	Applications of cone theory to boundary value problems	Allan Peterson
Goddard, Bartley E.	A finite Dirichlet series related to Newman polynomials	Walter Mientka

Name	Title	Advisor	Job (Original/Current)
Coomes, Brian A.	Polynomial flows, symmetry groups and conditions sufficient for injectivity of maps	Gary Meisters
Gallagher, Richard J.	Scalarization of vector optimization problems and properties of the positive cone in normed vector lattices	Jerald Dauer
Kulasekera, Karunarathna	Estimation of change points in failure rate models	K.M. Saxena	Clemson University
Weil, Pascal	Inverse monoids and the dot-depth hierarchy	John Meakin

Name	Title	Advisor	Job (Original/Current)
Saleh, Ossama A.	A characterization of proper minimal points as solutions of sublinear optimization problems	Jerald Dauer
Stephen, Joseph B.	Applications of automata theory to presentations of monoids and inverse monoids	John Meakin

Name	Title	Advisor
El-Abyad, Abdelwahab	Geometric approach to multiple objective optimization with application to multiple criteria decision making	Jerald Dauer
Hankerson, Darrel R.	Boundary value problems for n-th order difference equations	Allan Peterson
Liu, Yi-Hsin	Analysis of objective space in multiple objective optimization	Jerald Dauer

Name	Title	Advisor	Job (Original/Current)
Beezley, Randall S.	Electromagnetic direct and inverse problems for absorbing media	Robert Krueger
From, Steven G.	Optimal linear combinations of consistent, asymptotically normal estimators	K.M. Saxena	University of Nebraska at Omaha