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# Dissertation Library

## Contact

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, Darwyn (1996, Advisor: Richardson)
- Muntz-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: Lax)
- Linear Codes Defined from Higher-Dimensional Varieties
- Yu Zhuang (August 2000, Advisor: Neubrander)
- Classically Unstable Approximations for Linear Evolution Equations and Applications
- 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
- Said K. Ngobi (December 2000, Advisor: Kuo)
- On Stochastic Integration for White Noise Distribution Theory
- 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
- 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.
- Kim, Jeonghun (August 2006, Perlis)
- Classifying Quadratic Number Fields up to Arf Equivalence: ndltd.
- Becnel, Jeremy (August 2006, Sengupta)
- Extension of Shor's Period-Finding Algorithm to Infinite Dimensional Hilbert Spaces: ndltd.
- Beavers, Brian(August 2006, Oxley)
- Circuits and Structure in Matroids and Graphs: ndltd.
- Qazaqzeh, Khaled (August 2006, Gilmer)
- Topics in Quantum Topology: ndltd.
- Stuebner, Michael (August 2006, Lipton)
- An Inverse Homogenization Design Method for Stress Control in Composites: ndltd.
- Lee, See-Keong (December 2006, Kuo)
- On Moment Conditions for the Girsanov Theorem: ndltd.
- Wu, Jie (December 2006, Sundar)
- Limit Theorems for Weighted Stochastic Systems of Interacting Particles: ndltd.
- Bureau, Jean (December 2006, Morales)
- Representation Properties of Definite Lattices in Function Fields: ndltd.
- Yin, Hong (May 2007, Sundar)
- Backward Stochastic Navier-Stokes Equations in Two Dimensions: ndltd.
- Kwon, Nam Hee (May 2007, Sage)
- Subrepresentation Semirings and an Analogue of 6j-Symbols: ndltd.
- Daspan, Gideon (August 2007, Tom)
- Comparison of KP and BBM-KP Models: ndltd.
- Kim, Heon (December 2007, Verrill)
- Sign ambiguities of Gaussian sums: ndltd.
- Namli, Suat (December 2007, Kuo)
- Multiplicative Renormalization Method for Orthogonal Polynomials: ndltd.
- Laubinger, Martin (May, 2008 Lawson)
- Differential Geometry in Cartesian Closed Categories of Smooth Spaces: ndltd.
- Meng, Chao (August, 2008 Sengupta)
- Stochastic and Copula Models for Credit Derivatives: ndltd.
- Wallace, Steven D. (August, 2008 Litherland)
- Surgery Description of Colored Knots: ndltd.
- Alali, Bacim (August, 2008 Lipton)
- Multiscale Analysis of Heterogeneous Media for Local and Nonlocal Continuum Theories: ndltd.
- Morris, Karli Smith (August, 2008 Perlis)
- Trace Forms of Abelian Extensions of Number Fields: ndltd.
- Ozer, Koray (August, 2008 Neubrander)
*Laplace Transform Inversion and Time-Discretization Methods for Evolution Equations*: ndltd.- Tugurlan, Maria Cristina (December, 2008 Bourdin)
- Fast Marching Methods - Parallel Implementation and Analysis: ndltd.
- Aikin, Jeremy M. (August 2009, Oxley)
- The Structure of 4-Separations in 4-Connected Matroids ndltd.
- Cai, Wei (August 2009, Wolenski)---
- Impulsive Control Systems ndltd.
- Christensen, Jens Gerlach (August 2009, Olafsson)
- Function Spaces, Wavelets and Representation Theory ndltd.
- Chun, Carolyn B (August 2009, Oxley)
- Unavoidable Minors in Graphs and Matroids ndltd.
- Guevara, Alvaro Jose (August 2009, Wolenski)
- A Regularization Technique in Dynamic Optimization ndltd.
- Esunge, Julius (August 2009, Kuo)
- White Noise Methods for Anticipating Stochastic Differential Equations ndltd.
- Morgan, Evan James (August 2009, Oporowski)
- Some Results on Cubic Graphs ndltd.
- Ptitsyna, Natalia (August 2009, Shipman)
- A Discrete Model of Guided Modes and Anomalous Scattering in Periodic Structures ndltd.
- Wiboonton, Keng (August 2009, Olafsson)
- The Segal-Bargmann Transform on Inductive Limits of Compact Symmetric Spaces ndltd.
- Zito, Kevin (August 2009, Neubrander)
- Convolution Semigroups ndltd.
- Vindas, Jasson (August 2009, Estrada)
- Local Behavior of Distributions and Applications ndltd.
- Caranica, Constantin Cristian (August 2009, Verrill)
- Algorithms Related to Subgroups of the Modular Group ndltd.
- Egedy, Charles Richard (December 2009, Cohen)
- The Extended Picture Group, With Applications to Line Arrangement Complements ndltd.
- Fang, Liqun (December 2009, Sundar)
- Stochastic Navier-Stokes Equations with Fractional Brownian Motions ndltd.
- Lowrance, Adam Micah (December 2009, Baldridge)
- Homological Width and Turaev Genus ndltd.