
Dissertation Library
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
1990s
 Chen, Sheng (1990, Advisor: Perlis)
 Constructing isospectral but nonisometric Riemannian manifolds. Canad. Math. Bull. 35 (1992), no. 3, 303310. MR
 Gu, Diana (1990, Advisor: Reid)
 Peripheral and eccentric vertices in graphs. Graphs Combin. 8 (1992), no. 4, 361375.MR
 Gubser, Bradley S.(1990, Advisor: Oxley)
 A characterization of almostplanar graphs. Combin. Probab. Comput. 5 (1996), no. 3, 227245.MR
 Pfeffer, Carolyn B.(1990, Advisor: Richardson)
 Zeroes of primary summand functions on campact solvmanifolds. J. Funct. Anal. 108 (1992), no.1, 161186.MR
 Beaulieu, Patricia (1991, Advisor: Perlis)
 The Galois number.
Math. Ann. 309 (1997), no. 1, 8196.
MR
 Stuart, Donna (1991, Advisor: Perlis)
 A new characterization of arithmetic equivalence. J. Number Theory 53 (1995), no. 2, 300308.MR
 Moss, J.D.Jr.,(1991, Advisor: Richardson)
 A PaleyWiener theorem for selected nilpotent Lie groups.
J. Funct. Anal. 114 (1993), no. 2, 395411.
MR
 Wargo, Lawrence (1991, Advisor: Oxley)
 Regular matroids with every circuit basis fundamental. J. Graph Theory 21 (1996), no. 3, 327334.MR
 Kingan, Robert (1992, Advisor: Hurrelbrink)
 Tournaments and ideal class groups. Canad. Math. Bull. 38 (1995), no. 3, 330333.MR
 Lee, JungSoon (1992, Advisor: Kuo)
 Stochastic Volterra equations with singular kernels.
Stochastic Process. Appl. 56 (1995), no. 2, 337349.
MR
 Asadian, Fariborz (1992, Advisor: Kuo)
 Regularity of measures induced by solutions of infinitedimensional stochastic differential equations. Rocky Mountain J. Math. 27 (1997), no. 2, 387423.
MR
 Aucoin, Karen D. (1993, Advisor: Hildebrant)
 The structure of commutative ideal semigroups. Semigroup Forum 50 (1995), no. 3, 295300.
MR
 Dumesnil, Jill A. (1993, Advisor: Hildebrant)
 On $t$semigroups. Semigroup Forum 50 (1995), no. 3, 383387.
MR
 Martin, Heath M.(1993, Advisor: Johnston)
 Notes on quadratic sequences. Comm. Algebra 22 (1994), no. 1, 307319.
MR
 Park, Robert (1994, Advisor: Richardson)
 A PaleyWiener theorem for all two and threestep nilpotent Lie groups. J. Funct. Anal. 133 (1995), no. 2, 277300.
MR
Abstract: dvi,
ps, and
pdf
 Wu, Haidong (1994, Advisor: Oxley)
 On matroid connectivity. Discrete Math. 146 (1995), no. 13, 321324.
MR
 Kingan, S. R. (1994, Advisor: Oxley)
 Binary matroids without prisms, prism duals, and cubes. Discrete Math. 152 (1996), no. 13, 211224.
MR
 Edie, Richard (1994, Advisor: Ferreyra)
 On the optimal control of the VidaleWolfe advertising model. Optimal Control Appl. Methods 18 (1997), no. 1, 5972.
MR
 Dobson, Edward (1995, Advisor: Bollobas)
 Isomorphism problem for Cayley graphs of $Z\sp 3\sb p$. Discrete Math. 147 (1995), no. 13, 8794.
MR
 Kim, Mihi (1995, Advisor: Neubrander)
 Remarks on Volterra equations in Banach spaces.
Commun. Korean Math. Soc. 12 (1997), no. 4, 10391064.
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, 655676.
MR
 Paris, Stephen (1995, Advisor: Gilmer)
 An extremal property of Rokhlin's inequality for real algebraic curves. Math. Ann. 304 (1996), no. 3, 613620.
MR
 Ahmad, Hamza (1995, Advisor: Ohm)
 Function fields of Pfister neighbors. J. Algebra 178 (1995), no. 2, 653664.
MR
 Chimitza, Basinyi (1995, Advisor: Gilmer)
 Modules associated to disconnected surfaces by quantization functors.
Topology Appl. 93 (1999), no. 1, 4163.
MR
 Mills, Allan D (1995, Advisor:Oxley)
 Matroids that are almost seriesparallel networks. Proceedings of the Twentyseventh Southeastern International Conference on Combinatorics, Graph Theory and Computing (Baton Rouge, LA, 1996). Congr. Numer. 119 (1996), 161172.
MR
 Vijayan, Colathur R.(1995, Advisor: Richardson)
 Nonhomeomorphic nilmanifolds with identical unitary spectrum.
J. Funct. Anal. 144 (1997), no. 2, 424447.
MR
 Gonzalez, Genaro (1995, Advisor: Lawson)
 Fourier series, Fourier transforms and applications. Divulg. Mat. 5 (1997), no. 12, 4360 (1998).
MR
 Shi, Gen Bao (1995, Advisor: J. Goldstein)
 Obstacle scattering for elastic waves. Recent developments in evolution equations (Glasgow, 1994), 317, 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), 101111, Lecture Notes in Pure and Appl. Math., 186, Dekker, New York, 1997.
MR
 Cook, Darwin (1996, Advisor: Richardson)
 M�ntzSzasz theorems for nilpotent Lie groups.
J. Funct. Anal. 157 (1998), no. 2, 394412.
MR
 Fitzgerald, Jeanne (1996, Advisor: Lax)
 Decoding affine variety codes using Gr�bner bases.
Des. Codes Cryptography, 13 (1998), no. 2, 147158.
MR
 Leo, John W (1996, Advisor: Oxley)
 On coefficients of the Tutte polynomial. Discrete Math. 184 (1998), no. 13, 121135. MR
 Stevens, Wayne (1996, Advisor: Gilmer)
 Recursion formulas for some abelian knot invariants. J. Knot Theory Ramifications 9 (2000), no. 3, 413422. MR
 Lim, Yongdo (1996, Advisor: Lawson)
 On $UDL$ decompositions in semigroups. J. Korean Math. Soc. 34 (1997), no. 3, 633651.
MR
 Kim, Jaehoo Park (1996, Advisor: Smolinsky)
 A HOMFLYPT polynomial of links in a solid torus. Journal of Knot Theory and Its Ramifications 8 (1999), no.6, 709720;
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), 6878, 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 StiefelWhitney class of scaled trace forms of central simple algebras. J. London Math. Society. (2) 61 (2000), no. 2, 335348. MR 2001c:11051
 Wu, Zhaoyang (1998, Advisor: Oxley)
 On extremal connectivity properties of unavoidable matroids. J. Combininatorial Theory Ser. B 75 (1999), no. 1, 1945. MR
 Wu, Poulin (1998, Advisor: Oxley)
 An upper bound on the number of edges of a $2$connected graph. Combin. Probab. Comput. 6 (1997), no. 1, 107113.
MR
 Matthews, Gretchen L. (1999, Advisor: Lax)
 Weierstrass pairs and minimum distance of
Goppa codes. Designs, Codes and Cryptography 22 (2001), 107121
 Whipple, Gretchen (1999, Advisor: Madden)
 Totally ordered commutative monoids. Semigroup Forum 62 (2001), no.2, 249278;
MR 1 831 511 (2001:12).
 Ru, Xueping (1999, Advisor: Dorroh)
 The application of the method of quasireversibility to the sideways heat equation.
J. Math. Anal. Appl. 236 (1999), no. 2, 503519.
MR
 Stan, Aurel Iulian (1999, Advisor: Kuo)
 PaleyWiener theorem for white noise analysis. J. Functional Anal. 173 (2000), no. 2, 308327.
MR
 Lu, Bin (1999, Advisor: Lawson)
 Riemann and Edalat integration on domains. Theoretical Computer Science (to appear).
 Turner, Galen (1999, Advisor: Oxley)
 Discrete Mathematics
2000s
 Gary L. Salazar (August 2000, Advisor: Advisor: Lax)
 Linear Codes Defined from HigherDimensional 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 S^{1}xS^{2}:
See Departmental Online Preprint Service.
 Angel CruzDelgado (August 2000, Advisor: Ferreyra)
 On Some Optimal Control Problems for the Centroaffine Geometry on the Plane.
 ChinTe Chu (December 2000, Advisor: Richardson)
 A Canonical Description of Plancherel Measure for TwoStep 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 4ranks of K_{2}(O) has appeared in
Acta. Arith. 102 (2002), 4554; MR1884956(2002m:11099).
 Uroyoan R. Walker (May 2001, Advisor: Morales)
 On kConjugacy Classes of Maximal Tori in SemiSimple 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 Twocircuits as a Minor.
 Cem Guneri(Aug 2001, Advisor: Lax)
 ArtinSchreier Families and 2D Cyclic Codes:
ndltd.
Research published in the journal Finite Fields and Their Applications,
ISSN 10715797, Vol. 10, No. 4, pp 481505, October, 2004, under the title
ArtinSchreier curves and weights of twodimensional 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 Nonconvex 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 4Regular 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 Multipolygonal 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 TimeDiscretization Methods for Semigroups: ndltd.
 Costel Ionita (Aug. 2004, Advisor: Hurrelbrink)
 Class Groups and Norms of Units: ndltd.
 Vochita Mihai (Aug. 2004, Advisor: Sengupta)
 The RadonGauss 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.
 AlShammari, Khalid (May 2006, Wolenski)
 Filippov's Operator and Discontinuous Differential Equations: ndltd.
