Our Ph.D. Graduates

2024 Graduates
James Alcala
Dissertation Title: “New Classes of Moving Anchor Extragradient
Algorithms for Saddlepoint Problems”
Faculty Advisor(s): Yat Tin ChowCecilia Duran
Dissertation Title: “Mathematical Modeling of Hair Follicle Regeneration
Dynamics and of Polarization Initiation”
Faculty Advisor(s): Qixuan Wang and Weitao ChenJacob Garcia
Dissertation Title: “Conicality of Morse Limit Sets and Stability”
Faculty Advisor(s): Matthew DurhamAnthony Muljat
Dissertation Title: “Representations of FILike Categories Associated to
Subgroups of Wreath Products”
Faculty Advisor(s): Wee Liang GanMatthew Overduin
Dissertation Title: “Fractional Taylor Series Expansions for Classes of
Generalized Fractal Strings”
Faculty Advisor(s): Michel LapidusThomas Schellhous
Dissertation Title: “Striated Regularity of Vorticity in a Bounded Domain”
Faculty Advisor(s): James KelliherAlysha Toomey
Dissertation Title: “Multiscale Models for Developing Tissues or Organs in
Biological Systems”
Faculty Advisor(s): Weitao Chen and Mark AlberGabrielle Tsai
Dissertation Title: “A Characterization of Bounded Convex Domains in C^n with NonCompact Automorphism Group”
Faculty Advisor(s): Bun Wong 
2023 Graduates
Savanna Gee
Dissertation Title: "Synge's Theorem, Systole, and Positive Intermediate Ricci Curvature"
Faculty Advisor(s): Frederick WilhelmKhoa Ta
Dissertation Title: "Finite Regularity of VIn Modules"
Faculty Advisor(s): Wee L. GanChristian Williams
Dissertation Title: "The Metalanguage of Category Theory"
Faculty Advisor(s): John C. BaezNoble Williamson
Dissertation Title: "Birational geometry of blowups of toric projective varieties"
Faculty Advisor(s): Jose Gonzalez 
2022 Graduates
Jonathan Alcaraz
Dissertation Title: "Surface Bundles Over LowDimensional Manifolds"
Faculty Advisor(s): Stefano G. VidussiGefei Chen
Dissertation Title: "Information Gathering Problem in AdHoc Radio Networks With Layer Topology"
Faculty Advisor(s): Kevin CostelloJonathan P. Dugan
Dissertation Title: "Demazure Modules and Fusion Products for the Current Algebra sln+1[t]"
Faculty Advisor(s): Vyjayanthio ChariGabriel Elvin
Dissertation Title: "Avoiding Monochromatic Solutions to Linear Equations"
Faculty Advisor(s): Kevin CostelloThereseMarie B. Landry
Dissertation Title: "Design and Optimization of a Composite Heat Spreader to Improve the Thermal Management of ThreeDimensional Integrated Circuits"
Faculty Advisor(s): Micheal L. LapidusMichael L. McNulty
Dissertation Title: "On the Stability of SelfSimilar BlowUp in Nonlinear Wave Equations"
Faculty Advisor(s): PoNing Chen, Birgit SchorkhuberChristian T. Michael
Dissertation Title: "Mathematical Modeling Study of the Impacts of Boundary Conditions and a Pseudo3D Mechanism on the Maintenance of the Shoot Apical Meristem of Arabidopsis thaliana"
Faculty Advisor(s): Mark AlberNicholas J. Newsome
Dissertation Title: "Bounded Domains on Kobayashi Hyperbolic Manifolds Covering Compact Complex Manifolds"
Faculty Advisor(s): Bun WongAdam D. Richardson
Dissertation Title: "The Complex Dimensions of SpaceFilling Curves"
Faculty Advisor(s): Michael L. LapidusAlexander S. Rowell
Dissertation Title: "Existence and Structure of PArea Minimizing Surfaces"
Faculty Advisor(s): Amir Moradi FamBenjamin J. Russell
Dissertation Title: "Linear SCY Groups With Virtual First Betti Number Equal to Four"
Faculty Advisor(s): Stefano G. VidussiMaranda N. Smith
Dissertation Title: "Macdonald Polynomials and Graded Characters of Generalized Demazure Modules of so(2n)[t]"
Faculty Advisor(s): Vyjayanthi ChariRyan J. Ta
Dissertation Title: "Ricci Flow Does Not Necessarily Preserve Positive Radial Sectional Curvature"
Faculty Advisor(s): Frederick WilhelmChulan Zeng
Dissertation Title: "Time Analyticity of Several Evolutionary Partial Differential Equations"
Faculty Advisor(s): Qi S. Zhang 
2021 Graduates
Kateryna Alkorn
Dissertation Title: "Correspondence Between the Spectrum of Jacobi Operator and Dominated Splitting of its Cocycle Map"
Faculty Advisor(s): Zhenghe ZhangEthan Kowalenko
Dissertation Title: "Representation Theory for Oriented Matroids and Combinatorial Intersection Homology for Gorenstein* Meet Semilattices"
Faculty Advisor(s): Carl MautnerRobert Lopez
Dissertation Title: "Stability of Current Density Impedance Imaging and Uniqueness for the Inverse SturmLiouville Problem"
Faculty Advisor(s): Amir Moradi FamDerek Lowenberg
Dissertation Title: "Representations of Some Categories of FI Type"
Faculty Advisor(s): Wee GanAlexander Martin
Dissertation Title: "Boundary Asymptotics for Convex and Strongly Pseudoconvex Domains"
Faculty Advisor(s): Bun WongJade Master
Dissertation Title: "Composing Behaviors of Networks"
Faculty Advisor(s): John C. BaezAlexander Pokorny
Dissertation Title: " Dubrovnik Skein Theory and Power Sum Elements"
Faculty Advisor(s): Peter Samuelson 
2020 Graduates
Taylor Baldwin
Dissertation Title: "Solutions to the 2D Euler Equations Satisfying the Serfati Condition With Relaxed Constraints on the Initial Vorticity"
Faculty Advisor(s): James P. KelliherJolene Britton
Dissertation Title: "High Order Numerical Methods for Hyperbolic Balance Laws: WellBalanced Discontinuous Galerkin Methods and Adjoint Based Inverse Algorithms"
Faculty Advisor(s): Weitao Chen & Yulong XingSamuel Britton
Dissertation Title: "Mathematical Models of Blood Clot Deformation and Post Translational Regulation of Enzymes in Metabolic Networks"
Faculty Advisor(s): Mark AlberKenny Courser
Dissertation Title: "Open Systems: A Double Categorical Perspective"
Faculty Advisor(s): John C. BaezJustin Davis
Dissertation Title: "Generalized Demazure Modules with Level Two Filtrations"
Faculty Advisor(s): Vyjayanthi ChariAlexander Henderson
Dissertation Title: "Fractal Zeta Functions in Metric Spaces"
Faculty Advisor(s): Michel L. LapidusDane Lawhorne
Dissertation Title: "Cluster Structures in Double Canonical Bases"
Faculty Advisor(s): Jacob GreensteinJoseph Moeller
Dissertation Title: "The Grothendieck Construction in Categorical Network Theory"
Faculty Advisor(s): John C. BaezLawrence Mouille
Dissertation Title: "Positive Intermediate Ricci Curvature with Symmetries"
Faculty Advisor(s): Frederick WilhelmKevin Tsai
Dissertation Title: "Computational Study of Cellular Budding at Different Physical Length Scales"
Faculty Advisor(s): Mark AlberAdam Yassine
Dissertation Title: "Generalized Span Categories in Classical Mechanics and the Functoriality of the Legendre Transformation"
Faculty Advisor(s): Michel L. Lapidus & David E. Weisbart 
2019 Graduates
Mikahl BanwarthKuhn
Dissertation Title: "Mathematical Model for Studying Combined Effect of Individual Cell Behavior on Developing Tissue Shape in Plants "
Faculty Advisor(s): Mark AlberJoshua Buli
Dissertation Title: "Discontinuous Galerkin Methods for Hyperbolic Systems of PDEs and the Bathtub Model for Traffic Flow"
Faculty Advisor(s): Yulong XingBryan Carrillo
Dissertation Title: " Vanishing of Certain AxiallySymmetric Periodic DSolutions to the Stationary NavierStokes Equations "
Faculty Advisor(s): Qi S. ZhangDaniel Cicala
Dissertation Title: "Rewriting Structured Cospans: A Syntax for Open Systems"
Faculty Advisor(s): John C. BaezFrank Kloster
Dissertation Title: "Greens Functions On PCF SelfSimilar Sets"
Faculty Advisor(s): Michel L. LapidusChristina Knox
Dissertation Title: "Inverse Problems on Electrical Networks and in Photoacoustic Tomography"
Faculty Advisor(s): Amir Moradi FamTimothy McEldowney
Dissertation Title: "Strongly Hilbert Modules"
Faculty Advisor(s): MeiChu ChangRyan Moruzzi Jr
Dissertation Title: "Isomorphism of Modules for Type Dn"
Faculty Advisor(s): Vyjayanthi ChariDylan Noack
Dissertation Title: "A Characterization of Certain Bounded, Convex Domains"
Faculty Advisor(s): Bun WongXavier Ramos Olive
Dissertation Title: "Gradient Estimates Under Integral Curvature Conditions"
Faculty Advisor(s): Qi ZhangEdward Voskanian
Dissertation Title: "On the Quasiperiodic Structure of the Complex Dimensions of SelfSimilar Fractal Strings"
Faculty Advisor(s): Michel L. Lapidus 
2018 Graduates
Andrea Arauza
Dissertation Title: "Spectral Triples and Fractal Geometry"
Faculty Advisor(s): Michel L. LapidusDaniel Chun
Dissertation Title: "Asymptotic Syzygies of Normal Crossing Varieties"
Faculty Advisor(s): Ziv RanBrandon Coya
Dissertation Title: "Circuits, Bond Graphs, and SignalFlow Diagrams: A Categorical Perspective"
Faculty Advisor(s): John C. BaezMatthew Lee
Dissertation Title: "Global Weyl Modules and Maximal Parabolics of Twisted Affine Lie Algebras"
Faculty Advisor(s): Vyjayanthi ChariKayla Murray
Dissertation Title: "Graded Representations of Current Algebras"
Faculty Advisor(s): Vyjayanthi ChariJames Ogaja
Dissertation Title: "Function Theory on Open Kahler Manifolds"
Faculty Advisor(s): Bun WongLauren Ruth
Dissertation Title: "Two New Settings for Examples of von Neumann Dimension"
Faculty Advisor(s): Alain Valette & Feng XuAlex Sherbetjian
Dissertation Title: "Rigidification of Algebras Over Algebraic Theories in Diagram Categories"
Faculty Advisor(s): John C. Baez & Julia E. BergnerJohn Simanyi
Dissertation Title: "The Poisson Cohomology of kstep Nilmanifolds"
Faculty Advisor(s): Yat S. PoonJordan Tousignant,
Dissertation Title: "Koszulity of Directed Graded klinear Categories and Their Quadratic Dual"
Faculty Advisor(s): Wee L. Gan 
2017 Graduates
Jesse Benavides
Dissertation Title: "New Examples of Collapse With a Lower Curvature Bound"
Faculty Advisor(s): Frederick WilhelmDonna Blanton
Dissertation Title: "On Tensor Products of Demazure Modules for sl2[t]"
Faculty Advisor(s): Vyjayanthi ChariKyle Castro
Dissertation Title: "Multiplicative Character Sums and the Applications to Problems in Analytic Number Theory"
Faculty Advisor(s): MeiChu ChangHyun Choi
Dissertation Title: "Semistar Operations on Integral Domains and Multiplicative Lattices"
Faculty Advisor(s): David E. RushMatthew O'Dell
Dissertation Title: "Integrable Representations for Equivariant Map Algebras Associated with Borelde Siebenthal Pairs"
Faculty Advisor(s): Vyjayanthi ChariPriyanka Rajan
Dissertation Title: "Geometry and Topology of Some Fake Projective Spaces"
Faculty Advisor(s): Frederick WilhelmScott Roby
Dissertation Title: "αScaling Zeta Functions For SelfSimilar Multifractals"
Faculty Advisor(s): Michel L. LapidusAndrew Walker
Dissertation Title: "On a Notion of CohenMacaulay and the NonVanishing of Čech Cohomology Modules"
Faculty Advisor(s): David E. RushSean Watson
Dissertation Title: "Fractal Zeta Functions: To Ahlfors Spaces and Beyond"
Faculty Advisor(s): Michel L. LapidusParker Williams
Dissertation Title: "Information Gathering on Bounded Degree Trees and Properties of Random Matrices"
Faculty Advisor(s): Kevin Costello 
2016 Graduates
Timothy Cobler
Dissertation Title: "The Derivative Operator on Weighted Bergman Spaces and Quantized Number Theory"
Faculty Advisor(s): Michel L. LapidusJason Erbele
Dissertation Title: "Categories in Control: Applied PROPs"
Faculty Advisor(s): John C. BaezKaylee Hamann
Dissertation Title: "On the Characterization of Convex Domains With NonCompact Automorphism Group"
Faculty Advisor(s): Bun WongJoshua Strong
Dissertation Title: "Boundary Characterization of Iterated Automorphism Orbits on Bounded Domains"
Faculty Advisor(s): Bun WongJohn Watterlond
Dissertation Title: "Representation Stability of Consistent Sequences of GL(n, Fq)Modules"
Faculty Advisor(s): Wee L. GanRobert Willett
Dissertation Title: "Volume Comparison, Ricci Curvature, and Focal Radius"
Faculty Advisor(s): Frederick Wilhelm 
2015 Graduates
John Dusel
Dissertation Title: "Combinatorics of Crystal Folding"
Faculty Advisor(s): Jacob GreensteinMathew Lunde
Dissertation Title: "SelfExtensions and Prime Factorizations of Quantum Affine Algebras"
Faculty Advisor(s): Vyjayanthi ChariEsteban Navas
Dissertation Title: "A Priori Bound on the Velocity in Axially Symmetric Navier Stokes Equations"
Faculty Advisor(s): Qi S. ZhangJason Park
Dissertation Title: "Random Measure Algebras Under Convolution"
Faculty Advisor(s): Malempati RaoSoheil Safii
Dissertation Title: "Equivariant and Isovariant Function Spaces"
Faculty Advisor(s): Reinhard SchultzLisa Schneider
Dissertation Title: "Multiplicities Associated to Demazure Flags of sl2[t]Modules"
Faculty Advisor(s): Vyjayanthi ChariPeri Shereen
Dissertation Title: "A Steinberg Type Decomposition Theorem for Higher Level Demazure Modules"
Faculty Advisor(s): Vyjayanthi ChariJeffrey Wand
Dissertation Title: "Demazure Flags of Local Weyl Modules"
Faculty Advisor(s): Vyjayanthi ChariJacob West
Dissertation Title: "Higher AuslanderReiten Theory"
Faculty Advisor(s): Julia E. Bergner & Wee L. Gan 
2014 Graduates
Chunghoon Kim
Dissertation Title: "Deformations of Compact Holomorphic Poisson Manifolds and Algebraic Poisson Schemes"
Faculty Advisor(s): Ziv RanDaniel Majcherek
Dissertation Title: "Multiplicative Lattice Versions of Some Results From Neotherian Commutative Rings"
Faculty Advisor(s): David E. RushOliver Thistlethwaite
Dissertation Title: "SeibergWitten Invariants, Alexander Polynomials, and Fibred Classes"
Faculty Advisor(s): Stefano G. Vidussi 
2013 Graduates
Dennis Gumaer
Dissertation Title: "A Jacobi Field Splitting Theorem for Positive Curvature"
Faculty Advisor(s): Frederick WilhelmMatthew Highfield
Dissertation Title: "Twisted Graded Hecke Algebras for Elementary Abelian Groups"
Faculty Advisor(s): Wee L. GanJohn Quinn
Dissertation Title: "Scale Covariance of Fractal Sets and Measures, A Differential Approach to the BoxCounting Function of a Fractal, with Applications"
Faculty Advisor(s): Michel L. Lapidus 
2012 Graduates
Matthew Bennett
Dissertation Title: "Tilting Modules for the Current Algebra Associated to a Simple Lie Algebra"
Faculty Advisor(s): Vyjayanthi ChariChristopher Carlson
Dissertation Title: "Foliations, Contract Structures and Finite Group Actions"
Faculty Advisor(s): Reinhard SchultzBarbara Herzog
Dissertation Title: "SubIndex for Critical Points of Distance Functions"
Faculty Advisor(s): Frederick WilhelmAdam Katz
Dissertation Title: "PoincareBirkhoffWitt Bases for Dioperads"
Faculty Advisor(s): Wee L. GanNishu Lal
Dissertation Title: "Spectral Zeta Functions of Laplacians on SelfSimilar Fractals"
Faculty Advisor(s): Michel L. LapidusKwangwoo Lee
Dissertation Title: "Transfer Theorems on Tautological Modules of Hilbert Schemes of Nodal Curves and de Jonquieres' Formulas"
Faculty Advisor(s): Ziv RanNathaniael Manning
Dissertation Title: "Global Weyl Modules for Twisted and Untwisted Loop Algebras"
Faculty Advisor(s): Vyjayanthi ChariRobert Niemeyer
Dissertation Title: "An Investigation of the Koch Snowflake Fractal Billiard: Experimental and Theoretical Results"
Faculty Advisor(s): Michel L. LapidusPaul Oeser
Dissertation Title: "Monoidal Extensions of a Locally QuasiUnmixed Unique Factorization Domain"
Faculty Advisor(s): David E. RushCurtis Pro
Dissertation Title: "On Riemannian Submersions and Diffeomorphism Stability"
Faculty Advisor(s): Frederick WilhelmMichael Sill
Dissertation Title: "Average Distance Functions and Their Applications"
Faculty Advisor(s): Frederick WilhelmBradley Thomas
Dissertation Title: "Boundary Characterization of a Smooth Domain With NonCompact Automorphism Group"
Faculty Advisor(s): Bun WongJuan Zaragoza
Dissertation Title: "Orthogonal Partial Conformal Change"
Faculty Advisor(s): Frederick Wilhelm 
2011 Graduates
Jack Bennett
Dissertation Title: "Some Results on Factorization in Integral Domains"
Faculty Advisor(s): David E. RushSamuel Chamberlin
Dissertation Title: "Integral Bases for the Universal Enveloping Algebras of Map Algebras"
Faculty Advisor(s): Vyjayanthi ChariHafedh Herichi
Dissertation Title: "Generalized Fractal Strings, Complex Dimensions and a Spectral Reformulation of the Riemann Hypothesis"
Faculty Advisor(s): Michel L. LapidusJohn Huerta
Dissertation Title: "Division Algebras, Supersymmetry and Higher Gauge Theory"
Faculty Advisor(s): John C. BaezAzadeh Rafizadeh
Dissertation Title: "Using Twisted Alexander Polynomials to Detect Fiberability"
Faculty Advisor(s): Stefano G. VidussiChristopher Rogers
Dissertation Title: "Higher Symplectic Geometry"
Faculty Advisor(s): John C. BaezBrian Rolle
Dissertation Title: "Construction of Weak Mirror Pairs by Deformations"
Faculty Advisor(s): Yat S. PoonChristopher Walker
Dissertation Title: "A Categorification of Hall Algebras"
Faculty Advisor(s): John C. Baez 
2010 Graduates
Ronald Dolbin
Dissertation Title: "Abelian Subalgebras in Z2graded Lie Algebras; Partitions, Young Diagrams and Ballot Numbers"
Faculty Advisor(s): Vyjayanthi ChariRichard Han
Dissertation Title: "A Construction of the "2221" Planar Algebra"
Faculty Advisor(s): Feng XuAlexander Hoffnung
Dissertation Title: "Foundations of Categorified Representation Theory"
Faculty Advisor(s): John C. BaezJennifer Loftus
Dissertation Title: "Gaussian Bounds of an Equation Derived From the NavierStokes Equations"
Faculty Advisor(s): Qi S. ZhangTimothy Ridenour
Dissertation Title: "Faces of Weight Polytopes, a Generalization of a Theorem of Vinberg and Koszul Algebras"
Faculty Advisor(s): Vyjayanthi ChariJonathan Sarhad
Dissertation Title: "Part I: Spectral Geometry of the Harmonic Gasket; Part II: Nonlinear Poisson Equation via a NewtonEmbedding Procedure"
Faculty Advisor(s): Michel L. Lapidus 
2009 Graduates
Vicente Alvarez
Dissertation Title: "A Numerical Computation of Eigenfunctions for the Kusuoka Laplacian on the Sierpinski Gasket"
Faculty Advisor(s): Michel L. LapidusScot Childress
Dissertation Title: "Quantum Measures, Arithmetic Coils, and Generalized Fractal Strings"
Faculty Advisor(s): Michel L. LapidusShilong Kuang
Dissertation Title: "Analysis of Conjugate Heat Equation on Complete NonCompact Riemannian Manifolds Under Ricci Flow"
Faculty Advisor(s): Qi S. ZhangHwa Lee
Dissertation Title: "The Flag Hilbert Scheme of Points of Nodal Curves and the Punctual Hilbert Scheme of Points of the Cusp Curve"
Faculty Advisor(s): Ziv RanChau Wong
Dissertation Title: "On a Class of Commuting Squares"
Faculty Advisor(s): Masako Asaeda & Feng Xu 
2008 Graduates
James Davenport
Dissertation Title: "Solvability of Some Inhomogeneous Parabolic Equations"
Faculty Advisor(s): Qi S. ZhangPeter McLoughlin
Dissertation Title: "When is the Adjoint of a FiniteRank Minimal Projection Also Minimal"
Faculty Advisor(s): Bruce L. ChalmersTiffany Troutman
Dissertation Title: "InfinityHarmonic Functions, Maps, and Morphisms of Riemannian Manifolds"
Faculty Advisor(s): Frederick WilhelmChui Yao
Dissertation Title: "Discrete Logarithm and Related Problems in Cryptography"
Faculty Advisor(s): MeiChu Chang 
2007 Graduates
Britta Daudert
Dissertation Title: "Random Walk on Networks: An Investigation of 1) Localization Phenomena on Fractal Drums 2) The Spread of an Epidemic Throughout a Social Network"
Faculty Advisor(s): Michel L. LapidusHung Lu
Dissertation Title: "padic Fractal Strings and Their Complex Dimensions"
Faculty Advisor(s): Michel L. LapidusJeffrey Morton
Dissertation Title: "Extended TQFT's and Quantum Gravity"
Faculty Advisor(s): John C. BaezJohn Rock
Dissertation Title: "Zeta Functions, Complex Dimensions of Fractal Strings and Multifractal Analysis of Mass Distributions"
Faculty Advisor(s): Michel L. LapidusJagannatha Senesi
Dissertation Title: "FiniteDimensional Representations of Twisted Loop Algebras"
Faculty Advisor(s): Vyjayanthi ChariDerek Wise
Dissertation Title: "Topological Gauge Theory, Cartan Geometry, and Gravity"
Faculty Advisor(s): John C. Baez 
2006 Graduates
Tobias Bartels
Dissertation Title: "Higher Gauge Theory: 2Bundles"
Faculty Advisor(s): John C. BaezCatherine Crockett
Dissertation Title: "On the Topology, Combinatorics, and Geometry of Circle and Spherical Orders"
Faculty Advisor(s): Stefano G. VidussiLisa Hernandez
Dissertation Title: "On the Girth of a Knot"
Faculty Advisor(s): XiaoSong LinErin Pearse
Dissertation Title: "Complex Dimensions of SelfSimilar Systems"
Faculty Advisor(s): Michel L. Lapidus 
2005 Graduates
JaeWook Chung
Dissertation Title: "The Algebraic Structure of nPunctured Ball Tangles"
Faculty Advisor(s): XiaoSong LinDustin Culhan
Dissertation Title: "Associated Primes and Primal Decomposition in Modules and Lattice Modules, and Their Duals"
Faculty Advisor(s): David E. RushEric Overholser
Dissertation Title: "Boundary Behavior of a Infinitesimal Metric and Intrinsic Measure on Domains and Moduli Space"
Faculty Advisor(s): Bun Wong 
2004 Graduates
Miguel Carrion Alvarez
Dissertation Title: "Loop Quantization Versus Fock Quantization of pForm Electromegnetism on Static Spacetimes"
Faculty Advisor(s): John C. BaezAlissa Crans
Dissertation Title: "Lie 2Algebras"
Faculty Advisor(s): John C. BaezSuzanne Lindborg
Dissertation Title: "Representations of Affine Lie Algebras of Level Zero"
Faculty Advisor(s): Vyjayanthi ChariJianjun Tian
Dissertation Title: "Evolution Algebras and Evolution Processes on Graphs"
Faculty Advisor(s): XiaoSong Lin 
2003 Graduates
Dimitar Grantcharov
Dissertation Title: "Weight Modules of Lie Superalgebras of Type I"
Faculty Advisor(s): Ivan B. PenkovColin Maclaughlin
Dissertation Title: "Integrable and Abelian Deformations of Abelian Complex Structures on 2Step Nilmanifolds"
Faculty Advisor(s): Yat S. PoonChanwoo Pae
Dissertation Title: "Groebner Bases of Veronese Embeddings and Np Problems"
Faculty Advisor(s): MeiChu Chang 
2002 Graduates
Thang Le
Dissertation Title: "Representations of Infinite Dimensional Lie Algebras"
Faculty Advisor(s): Vyjayanthi Chari 
2001 Graduates
Cyrill Oseledets
Dissertation Title: "Root Direct Limits of Lie Superalgebras"
Faculty Advisor(s): Ivan B. Penkov 
1999 Graduates
Youngook Choi
Dissertation Title: "Enumerative Geometry of Plane Curves"
Faculty Advisor(s): Ziv RanZhiwen Li
Dissertation Titles: "Rapid Recovery from Link Failure" & "Burau Representation for String Links"
Faculty Advisor(s): Mart Molle & XiaoSong LinJonathan Ruyle
Dissertation Title: "Cardinal Sequences of PCF Structures"
Faculty Advisor(s): Matthew Foreman & Albert R. Stralka 
1998 Graduates
Ivan Dimitrov
Dissertation Title: "Weight Modules of InfiniteDimensional Lie Algebras and Lie Superalgebras"
Faculty Advisor(s): Ivan B. PenkovTammy FisherVasta
Dissertation Title: "Presentations of Zforms for the Universal Enveloping Algebras of Affine Lie Algebras"
Faculty Advisor(s): Vyjayanthi ChariLillian Kinkade
Dissertation Title: "Elementary Divisor Rings and Bezout Domains"
Faculty Advisor(s): David E. RushJaime Londono
Dissertation Title: "Parametric Estimation of Diffusion Processes Sampled at First Exit Times"
Faculty Advisor(s): Neil GretskyJohn Noga
Dissertation Title: "Competitive Analysis of OnLine Algorithms for Paging"
Faculty Advisor(s): Marek ChrobakJoseph Vasta
Dissertation Title: "The Maximum Rank Ideal Problem on the Orthogonal Product of Simplices"
Faculty Advisor(s): Lawrence H. HarperLaura Wallace
Dissertation Title: "Graded Mori Rings"
Faculty Advisor(s): David E. Rush 
1997 Graduates
ChingJung Guu
Dissertation Title: "The Circular Wirelength Problem for Hypercubes"
Faculty Advisor(s): Lawrence H. HarperLaurel Langford
Dissertation Title: "2Tangles as a Free Braided Monnidal 2Category with Duals"
Faculty Advisor(s): John C. BaezGwoho Liu
Dissertation Title: "Application of a Construction of Universal Deformation of a Curve to Schottky Problem"
Faculty Advisor(s): Ziv RanSara Mohanty
Dissertation Title: "First Degree Invariants of Almost Generic Plane Immersed Curves"
Faculty Advisor(s): Oleg ViroVladimir Tchernov
Dissertation Title: "Vassiliev Invariants of Degree One of Knots and Links in R1 and S1 Fibrations"
Faculty Advisor(s): Oleg ViroLihChung Wang
Dissertation Title: "Divisors on Generic Hypersurfaces"
Faculty Advisor(s): Ziv Ran 
1996 Graduates
James Gilliam
Dissertation Title: "Lagrangian and Symplectic Techniques in Discrete Mechanics"
Faculty Advisor(s): John C. BaezCheryl Griffith
Dissertation Title: "Numerical Computation and Computer Visualization of the Eigenfunctions for the Koch Snowflake Drum"
Faculty Advisor(s): Michel L. LapidusQi He
Dissertation Title: "Generalized Minkowski Content, Vibrations Fractal Drums, Fractal Strings and the Riemann ZetaFunction"
Faculty Advisor(s): Michel L. LapidusLior Kadosh
Dissertation Title: "Topics in Weyl Geometry"
Faculty Advisor(s): Yat S. PoonHeroe Soedjak
Dissertation Title: "Asymptotic Properties of Bispectral Density Estimators of Harmonizable Processes"
Faculty Advisor(s): Malempati M. Rao 
1995 Graduates
Michael Green
Dissertation Title: "Multiparameter Semimartingale Integrals and Boundedness Principles"
Faculty Advisor(s): Malempati M. Rao 
1994 Graduates
Jonathan Fisher
Dissertation Title: N/A
Faculty Advisor(s): N/AZhongdao Ren
Dissertation Title: N/A
Faculty Advisor(s): N/ATimothy Watson
Dissertation Title: N/A
Faculty Advisor(s): N/A 
1993 Graduates
Da Chen
Dissertation Title: "Kernel Coefficient Ideals"
Faculty Advisor(s): Louis J. RatliffMartha Contreras
Dissertation Title: "Resonance and Double Resonance for Quasilinear Elliptic Higher Order Partial Differential Equations between the First and Second Eigenvalue"
Faculty Advisor(s): Victor L. ShapiroMary Legner
Dissertation Title: "Quasilinear Elliptic and Parabolic Partial Differential Equations with a Derivative Driving Force"
Faculty Advisor(s): Victor L. ShapiroMichael Prophet
Dissertation Title: "Codimension One Minimal Projections onto the Quadratics and Their Adjoints"
Faculty Advisor(s): Bruce L. Chalmers 
1992 Graduates
Sung Ahn
Dissertation Title: N/A
Faculty Advisor(s): N/AJoseph Allen
Dissertation Title: N/A
Faculty Advisor(s): N/AAnn Forkeotes
Dissertation Title: "Lattices of Lower Finite Breadth"
Faculty Advisor(s): Gerhard GierzFrank Shaw
Dissertation Title: "Discontinuity in CodimensionK Manifold Decompositions"
Faculty Advisor(s): J. WalshRandall Swift
Dissertation Title: "Structural and Sample Path Analyses of Harmonizable Random Fields"
Faculty Advisor(s): Ayala RaoKazuchika Ushijima
Dissertation Title: N/A
Faculty Advisor(s): N/A 
1991 Graduates
Shawnee McMurran
Dissertation Title: N/A
Faculty Advisor(s): N/A 
1990 Graduates
Marc Mehlman
Dissertation Title: N/A
Faculty Advisor(s): N/A 
1989 Graduates
Tarik Bourezgue
Dissertation Title: N/A
Faculty Advisor(s): N/A 
1988 Graduates
Rebecca Michaelis
Dissertation Title: N/A
Faculty Advisor(s): N/A 
1987 Graduates
Joseph Chavez
Dissertation Title: N/A
Faculty Advisor(s): N/AJoseph Sroka
Dissertation Title: N/A
Faculty Advisor(s): N/A 
1986 Graduates
John Fay
Dissertation Title: N/A
Faculty Advisor(s): N/AGary Griffing
Dissertation Title: N/A
Faculty Advisor(s): N/AFowzi Sejeeni
Dissertation Title: N/A
Faculty Advisor(s): N/A 
1984 Graduates
Saadat Moussavi
Dissertation Title: N/A
Faculty Advisor(s): N/ABarbara Shabell
Dissertation Title: N/A
Faculty Advisor(s): N/A 
1983 Graduates
Hosien Moghadam
Dissertation Title: N/A
Faculty Advisor(s): N/ADerek Chang
Dissertation Title: N/A
Faculty Advisor(s): N/AGary Palosaari
Dissertation Title: N/A
Faculty Advisor(s): N/ABradley Parsons
Dissertation Title: N/A
Faculty Advisor(s): N/A 
1982 Graduates
Melody Duncan
Dissertation Title: N/A
Faculty Advisor(s): N/AJuana Iroz
Dissertation Title: N/A
Faculty Advisor(s): N/ADavid Motte
Dissertation Title: N/A
Faculty Advisor(s): N/A