Dissertation Library

Lockett Hall

This page lists PhD graduates of our department since 1990, with dissertation title. Links are provided to Math reviews if a paper based on the dissertation research has appeared in print. Some dissertations are linked below to pdf files of summaries or full documents.

Beginning in Fall 2001, LSU is a full participant in the Networked Digital Library of Theses and Dissertations ndltd, a global library of such documents, so we have provided links to that library for the most recent dissertations.

Jump to decade: 1990s 2000s


Chen, Sheng (1990, Advisor: Perlis)
Constructing isospectral but non-isometric Riemannian manifolds. Canad. Math. Bull. 35 (1992), no. 3, 303--310. MR
Gu, Diana (1990, Advisor: Reid)
Peripheral and eccentric vertices in graphs. Graphs Combin. 8 (1992), no. 4, 361--375.MR
Gubser, Bradley S.(1990, Advisor: Oxley)
A characterization of almost-planar graphs. Combin. Probab. Comput. 5 (1996), no. 3, 227--245.MR
Pfeffer, Carolyn B.(1990, Advisor: Richardson)
Zeroes of primary summand functions on campact solvmanifolds. J. Funct. Anal. 108 (1992), no.1, 161-186.MR
Beaulieu, Patricia (1991, Advisor: Perlis)
The Galois number. Math. Ann. 309 (1997), no. 1, 81--96. MR
Stuart, Donna (1991, Advisor: Perlis)
A new characterization of arithmetic equivalence. J. Number Theory 53 (1995), no. 2, 300--308.MR
Moss, J.D.Jr.,(1991, Advisor: Richardson)
A Paley-Wiener theorem for selected nilpotent Lie groups. J. Funct. Anal. 114 (1993), no. 2, 395--411. MR
Wargo, Lawrence (1991, Advisor: Oxley)
Regular matroids with every circuit basis fundamental. J. Graph Theory 21 (1996), no. 3, 327--334.MR
Kingan, Robert (1992, Advisor: Hurrelbrink)
Tournaments and ideal class groups. Canad. Math. Bull. 38 (1995), no. 3, 330--333.MR
Lee, Jung-Soon (1992, Advisor: Kuo)
Stochastic Volterra equations with singular kernels. Stochastic Process. Appl. 56 (1995), no. 2, 337--349. MR
Asadian, Fariborz (1992, Advisor: Kuo)
Regularity of measures induced by solutions of infinite-dimensional stochastic differential equations. Rocky Mountain J. Math. 27 (1997), no. 2, 387--423. MR
Aucoin, Karen D. (1993, Advisor: Hildebrant)
The structure of commutative ideal semigroups. Semigroup Forum 50 (1995), no. 3, 295--300. MR
Dumesnil, Jill A. (1993, Advisor: Hildebrant)
On $t$-semigroups. Semigroup Forum 50 (1995), no. 3, 383--387. MR
Martin, Heath M.(1993, Advisor: Johnston)
Notes on quadratic sequences. Comm. Algebra 22 (1994), no. 1, 307--319. MR
Park, Robert (1994, Advisor: Richardson)
A Paley-Wiener theorem for all two- and three-step nilpotent Lie groups. J. Funct. Anal. 133 (1995), no. 2, 277--300. MR Abstract: dvi, ps, and pdf
Wu, Haidong (1994, Advisor: Oxley)
On matroid connectivity. Discrete Math. 146 (1995), no. 1-3, 321--324. MR
Kingan, S. R. (1994, Advisor: Oxley)
Binary matroids without prisms, prism duals, and cubes. Discrete Math. 152 (1996), no. 1-3, 211--224. MR
Edie, Richard (1994, Advisor: Ferreyra)
On the optimal control of the Vidale-Wolfe advertising model. Optimal Control Appl. Methods 18 (1997), no. 1, 59--72. MR
Dobson, Edward (1995, Advisor: Bollobas)
Isomorphism problem for Cayley graphs of $Z\sp 3\sb p$. Discrete Math. 147 (1995), no. 1-3, 87--94. MR
Kim, Mihi (1995, Advisor: Neubrander)
Remarks on Volterra equations in Banach spaces. Commun. Korean Math. Soc. 12 (1997), no. 4, 1039--1064. Abstract: ps, and pdf. MR
Knuckles, Craig (1995, Advisor: Wolenski)
$C\sp 1$ selections of multifunctions in one dimension. Real Anal. Exchange 22 (1996/97), no. 2, 655--676. MR
Paris, Stephen (1995, Advisor: Gilmer)
An extremal property of Rokhlin's inequality for real algebraic curves. Math. Ann. 304 (1996), no. 3, 613--620. MR
Ahmad, Hamza (1995, Advisor: Ohm)
Function fields of Pfister neighbors. J. Algebra 178 (1995), no. 2, 653--664. MR
Chimitza, Basinyi (1995, Advisor: Gilmer)
Modules associated to disconnected surfaces by quantization functors. Topology Appl. 93 (1999), no. 1, 41--63. MR
Mills, Allan D (1995, Advisor:Oxley)
Matroids that are almost series-parallel networks. Proceedings of the Twenty-seventh Southeastern International Conference on Combinatorics, Graph Theory and Computing (Baton Rouge, LA, 1996). Congr. Numer. 119 (1996), 161--172. MR
Vijayan, Colathur R.(1995, Advisor: Richardson)
Non-homeomorphic nilmanifolds with identical unitary spectrum. J. Funct. Anal. 144 (1997), no. 2, 424--447. MR
Gonzalez, Genaro (1995, Advisor: Lawson)
Fourier series, Fourier transforms and applications. Divulg. Mat. 5 (1997), no. 1-2, 43--60 (1998). MR
Shi, Gen Bao (1995, Advisor: J. Goldstein)
Obstacle scattering for elastic waves. Recent developments in evolution equations (Glasgow, 1994), 3--17, Pitman Res. Notes Math. Ser., 324, Longman Sci. Tech., Harlow, 1995. MR
Wang, Kunyang (1996, Advisor: J. Goldstein)
Degenerate nonlinear parabolic problems: the influence of probability theory. Stochastic processes and functional analysis (Riverside, CA, 1994), 101--111, Lecture Notes in Pure and Appl. Math., 186, Dekker, New York, 1997. MR
Cook, Darwin (1996, Advisor: Richardson)
M�ntz-Szasz theorems for nilpotent Lie groups. J. Funct. Anal. 157 (1998), no. 2, 394--412. MR
Fitzgerald, Jeanne (1996, Advisor: Lax)
Decoding affine variety codes using Gr�bner bases. Des. Codes Cryptography, 13 (1998), no. 2, 147--158. MR
Leo, John W (1996, Advisor: Oxley)
On coefficients of the Tutte polynomial. Discrete Math. 184 (1998), no. 1-3, 121--135. MR
Stevens, Wayne (1996, Advisor: Gilmer)
Recursion formulas for some abelian knot invariants. J. Knot Theory Ramifications 9 (2000), no. 3, 413--422. MR
Lim, Yongdo (1996, Advisor: Lawson)
On $UDL$ decompositions in semigroups. J. Korean Math. Soc. 34 (1997), no. 3, 633--651. MR
Kim, Jaehoo Park (1996, Advisor: Smolinsky)
A HOMFLY-PT polynomial of links in a solid torus. Journal of Knot Theory and Its Ramifications 8 (1999), no.6, 709-720; MR 2000g:57023
Zou, Dongya (1996, Advisor: Kuo); Existence and uniqueness theorems for some white noise integral equations.
Baeumer, Boris (1997, Advisor: Neubrander)
Convolution kernels and generalized functions. Generalized functions, operator theory, and dynamical systems (Brussels, 1997), 68--78, Chapman & Hall/CRC Res. Notes Math., 399, Chapman & Hall/CRC, Boca Raton, FL, 1999. MR
John Dittmann (1997, Advisor: Oporowski)
Unavoidable minors of graphs of large type. Discrete Mathematics (to appear)
Brusamarello, Rosali (1998, Advisor: Morales)
On the second Stiefel-Whitney class of scaled trace forms of central simple algebras. J. London Math. Society. (2) 61 (2000), no. 2, 335--348. MR 2001c:11051
Wu, Zhaoyang (1998, Advisor: Oxley)
On extremal connectivity properties of unavoidable matroids. J. Combininatorial Theory Ser. B 75 (1999), no. 1, 19--45. MR
Wu, Pou-lin (1998, Advisor: Oxley)
An upper bound on the number of edges of a $2$-connected graph. Combin. Probab. Comput. 6 (1997), no. 1, 107--113. MR
Matthews, Gretchen L. (1999, Advisor: Lax)
Weierstrass pairs and minimum distance of Goppa codes. Designs, Codes and Cryptography 22 (2001), 107-121
Whipple, Gretchen (1999, Advisor: Madden)
Totally ordered commutative monoids. Semigroup Forum 62 (2001), no.2, 249-278; MR 1 831 511 (2001:12).
Ru, Xueping (1999, Advisor: Dorroh)
The application of the method of quasi-reversibility to the sideways heat equation. J. Math. Anal. Appl. 236 (1999), no. 2, 503--519. MR
Stan, Aurel Iulian (1999, Advisor: Kuo)
Paley-Wiener theorem for white noise analysis. J. Functional Anal. 173 (2000), no. 2, 308--327. MR
Lu, Bin (1999, Advisor: Lawson)
Riemann and Edalat integration on domains. Theoretical Computer Science (to appear).
Turner, Galen (1999, Advisor: Oxley)
Discrete Mathematics


Gary L. Salazar (August 2000, Advisor: Advisor: Lax)
Linear Codes Defined from Higher-Dimensional Varieties: dvi, ps, and pdf.
Yu Zhuang (August 2000, Advisor: Neubrander)
Classically Unstable Approximations for Linear Evolution Equations and Applications: dvi, ps, and pdf.
Jianyuan Zhong (August 2000, Advisor: Gilmer)
The Homflypt skein module of S1xS2: See Departmental Online Preprint Service.
Angel Cruz-Delgado (August 2000, Advisor: Ferreyra)
On Some Optimal Control Problems for the Centroaffine Geometry on the Plane.
Chin-Te Chu (December 2000, Advisor: Richardson)
A Canonical Description of Plancherel Measure for Two-Step Free Nilpotent Lie Groups: dvi, ps, and pdf.
Said K. Ngobi (December 2000, Advisor: Kuo)
On Stochastic Integration for White Noise Distribution Theory: dvi, ps, and pdf.
Robert Osburn (May 2001, Advisor: Hurrelbrink)
Densities of 4-ranks of K2(O) has appeared in Acta. Arith. 102 (2002), 45-54; MR1884956(2002m:11099).
Uroyoan R. Walker (May 2001, Advisor: Morales)
On k-Conjugacy Classes of Maximal Tori in Semi-Simple Algebraic Groups: pdf.
Glenn R. Berman (May 2001, Advisor: Ding)
Categorization of Graphs for which Every Orientation Contains Directed Graphs with One, Two, or Three Directed Two-circuits as a Minor.
Cem Guneri(Aug 2001, Advisor: Lax)
Artin-Schreier Families and 2-D Cyclic Codes: ndltd. Research published in the journal Finite Fields and Their Applications, ISSN 1071-5797, Vol. 10, No. 4, pp 481-505, October, 2004, under the title Artin-Schreier curves and weights of two-dimensional cyclic codes. Link via ScienceDirect.
Marius Somodi(Aug 2001, Advisor: Perlis)
Bounding the Wild Set (Counting the minimum number of Wild Primes in Hilbert Symbol Equivalent Number Fields): ndltd.
Jamiiru Luttamaguzi(Dec 2001, Advisor: Ferreyra)
Monotone Follower Control Problem with a Non-convex Functional and some related problems: ndltd.
Simone Flory (May 2002, Advisor: Neubrander)
On the Stabilization and Regularization of Rational Approximation Schemes for Semigroups : ndltd.
Brian J. Murray (Aug. 2002, Advisor: van Wamelen)
Explicit Multiplicative Relations Between Gauss Sums : ndltd.
Victor S. Nelson (Aug. 2002, Advisor: Litherland)
Racks, Quandles and Virtual Knots: ndltd.
Changheon Kang (Aug. 2002, Advisor: Perlis)
Exotic Integral Witt Equivalence of Algebraic Number Fields: ndltd.
Fabiana Cardetti (Aug. 2002, Advisor: Ferreyra)
On Properties of Linear Control Systems on Lie Groups: ndltd.
David Slay (Dec. 2002, Advisor: Fabec)
Group Automorphisms and the Decomposition of Plancherel Measures: ndltd.
Jinko Kanno (Aug. 2003, Advisor: Ding)
Splitter Theorems for 3- and 4-Regular Graphs : ndltd.
John Harris (Aug. 2003, Advisor: Gilmer)
The Kauffman Bracket Skein Module of the Quaternionic Manifold : ndltd.
Robin Blankenship (Aug 2003, Advisor: Oporowski)
Book Embeddings of Graphs : ndltd.
Haohao Wang (Aug. 2003, Advisor: Adkins)
Equations of Parametric Surfaces with Base Points via Syzygies : ndltd.
Michael Holcomb (Aug. 2003, Advisor: Hoffman)
On the Geometry and Topology of Moduli Spaces of Multi-polygonal Linkages : ndltd.
Troels Johansen (Aug. 2004, Advisor: Olafsson)
Orbit Structure on the Silov Boundary of a Tube Domain and the Plancherel Decomposition of a Causally Compact Symmetric Space, with Emphasis on the Rank One Case: ndltd.
Mihaly Kovacs (Aug. 2004, Advisor: Neubrander)
On Qualitative Properties and Convergence of Time-Discretization Methods for Semigroups: ndltd.
Costel Ionita (Aug. 2004, Advisor: Hurrelbrink)
Class Groups and Norms of Units: ndltd.
Vochita Mihai (Aug. 2004, Advisor: Sengupta)
The Radon-Gauss Transform: ndltd.
Claudiu Mihai (Dec. 2004, Advisor: Neubrander)
Asymptotic Laplace Transforms: ndltd.
Norma Ortiz (May 2005, Advisor: Wolenski)
Dynamical Systems with Time Delay: ndltd.
Vinicio Rios (May 2005, Advisor: Wolenski)
Dissipative Lipschitz Dynamics: ndltd.
Aristidou, Michael (August 2005, Olafsson)
Laguerre Functions Associated to Euclidean Jordan Algebras: ndltd.
Dobrescu, Mihaela (August 2005, Olafsson)
Wavelet Sets with and without Groups and Multiresolution Analysis: ndltd.
McAllister, Sarah (August 2005, Neubrander)
Error Estimates for Stabilized Approximation Methods for Semigroups: ndltd.
Czarneski, Debra (August 2005, Perlis)
Zeta Functions of Finite Graphs: ndltd.
Schellhorn, William (August 2005, Litherland)
Virtual Strings for Closed Curves with Multiple Components and Filamentations for Virtual Links: ndltd.
Cazacu, George Edison (August 2005, Lawson)
Stability in Dynamical Polysystems: ndltd.
Zabic, Stanislav (August 2005, Wolenski)
Impulsive Systems: ndltd.
Breitzman, Timothy (August 2005, Lipton)
Multiscale Strain Analysis: ndltd.
Cazacu, Rodica (December 2005, Lawson)
Quasicontinuous Derivatives and Viscosity Functions: ndltd.
Arslan, Mustafa (May 2006, Hoffman)
Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three: ndltd.
Al-Shammari, Khalid (May 2006, Wolenski)
Filippov's Operator and Discontinuous Differential Equations: ndltd.

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