Department of Mathematics

Department Directory

Recent Ph.D. Dissertations

Year Ph.D. Student Advisor Thesis Title
2008 Monique Azar A. Gabrielov Some lower and upper bounds in real algebraic geometry
2008 Noah Dean B. Davis Vertex reinforced jump processes on one dimensional weighted environments
2008 George Hassapis S. Bell Bergman coordinates on finite Riemann surfaces
2008 Junmyeong Jang M. Kim Generic p-rank for semi-stable fibrations
2008 Yu-Juan Jien J. Ma Stochastic analysis and differential equations with respect to fractional Brownian motion
2008 Sheldon Joyner M. Kim Zeta functions as iterated integrals
2008 Jaehong Kim L. Lempert Holomorphic Banach bundles over compact manifolds
2008 Yuen Yick Kwan J. Shen Fast spectral methods for incompresible flows
2008 Stefanos Orfanos M. Dadarlat Crossed products and their finite dimensional approximation properties
2008 Bartlomiej Siudeja R. Banuelos Properties of heat kernels
2008 Courtney Taylor C. Wilkerson Computation of fixed point data from equivariant cohomology
2008 Andrew Vizcarra F. Viens Regularity of sub-Gaussian processes and other random fields
2008 Jingyue Wang B. Lucier Error bounds for numerical methods for the ROF image smoothing model
2008 Qingyu Wu F. Shahidi Image of transfer from GL(2)XGL(3) to GL(6)
2008 Kai Yang F. Milner The logistic, two-sex, age-structured population model with births outside marriages
2008 Song Yao J. Ma Quadriatic nonlinear expectations and risk measures
2008 Chunyan Yuan P. Bauman Gama-convergence of the Lawrence-Doniach energy for layered superconductors to a three-dimensional anisotropic Ginzburg-Landau energy
2008 Ruinjun Zhao F. Milner Some mathematical models and scientific computations in epidemiology and immunology
2007 Francisco Blanco-Silva B. Lucier The Curvelet Transform. A generalized definition and approximation properties
2007 Yu-Lin Chang S.-K. Yeung Two problems in Kahler manifolds of non-positive curvature
2007 Lung-Hui Chen A. Sa Barreto Scattering theory on hyperbolic spaces with potential scatterer
2007 Ersin Deger S. Bell A biholomorphism from a Bell representative domain onto an annulus and Kernel functions
2007 Kayla Dwelle C. Cowen Some results on Hadamarde closure and variation diminishing properties of totally nonnegative matrices
2007 Nan Gu S. Abhyankar Some results in the problem of simultaneous resolution of singularities
2007 Min Kyun Kim D. Phillips Solutions of the Ginzburg-Landau equations for d-wave superconductor and a proof of their four-fold symmetry
2007 Manish Kumar D. Arapura Fundamental group in positive characteristic
2007 Ya Li Z. Feng Study of the effect of plant toxicity on a plant-herbivore model and its applications
2007 Luis Lomeli F. Shahidi Functoriality for the classical groups over function fields
2007 Daniel Maxin F. Milner The interplay of isolation from reproduction with demography and sexually transmitted diseases
2007 Ronald Mitchell J. McClure Hochschild cohomology and the Smith resolution
2007 Philip Mummert G. Buzzard Horseshoes, solenoids, and holomorphic motions for Henon maps
2007 Libin Rong Z. Feng Mathematical modeling of HIV-1 infection and drug therapy
2007 Shuo Shen S. Wagstaff Finite fields of low characteristic in elliptic curve cryptography
2007 Kuan Tan S. Bell Applications of the Schwarz function to a class of multiply connected domains with symmetries
2007 Darren Tapp U. Walther Bernstein-Sato polynomials and Picard-Lefschetz monodromy
2007 Javid Validashti Dizgah B. Ulrich Multiplicities of graded algebras
2007 Chunbo Wang Z. Cai Mixed finite element methods for the Stokes and Navier-Stokes equations
2007 Umud Yalcin S. Abhyankar Rank three symplectic groups
2007 Xiaofeng Yang J. Shen Modeling, analysis and simulation of multi-phase flows
2007 Pei Zhang Z. Feng Mathematical modeling of host-parasite dynamics
2007 Yanhong Zhao J. Ma On forward-backward stochastic differential equations and related numerical methods
2006 Louiza Fouli B. Ulrich A study on the core of ideals
2006 Valeria Grant Perez S. Abhyankar Independence of elements in a ring of the height of the ideal they generate
2006 Faisal Kaleem S. Bell The structure of proper holomorphic mappings of a planar domain onto a simply connected domain
2006 Su-Jeong Kang D. Arapura Coniveau and the generalized Hodge conjecture
2006 Natalie Kleinfelter J. Cushman A thermodynamically consistent, two time scale theory of multiphase flow in porous media
2006 Zhihong Li S. Wagstaff Elliptic curve factoring method via FFTs with division polynomials
2006 Erkan Nane R. Banuelos Iterated Brownian motion: lifetime asymptotics and isoperimetric-type inequalities
2006 Ambica Rajagopal R. Banuelos Continuity properties of symmetric stable processes
2006 Christina Selby (Piercy) N. Garofalo Geometry of hypersurfaces in Carnot groups of Step 2
2006 Scott Simon L. Lempert A Dolbeault isomorphism theorem in infinite dimensions
2006 Rajan Sundaravaradhan F. Shahidi Structural results for stability of root numbers
2006 Son-Young Yi J. Douglas Nonconforming mixed finite element methods for linear elasticity
2006 Yuhua Yu J. Ma Indifference Pricing, Stochastic Control, and Equity-Linked Life Insurance
2006 Aaron Zerhusen L. Lempert Embeddings of pseudoconvex domains in certain Banach spaces
2006 Tao Zhang F. Viens Application of fractional Brownian motion to portfolio optimization; Sharp estimation on almost sure asymptotic behavior of Brownian Polymer in fractional Brownian environment
2005 William Butske K. Matsuki Computational Aspects of the Endomorphism Ring of the Jacobian of aCurve of Genus Two
2005 Yalin Celikler L. Lipshitz Geometry of D-semianalytic and subanalytic sets over complete non-Archimedean fields
2005 Christine Cumming B. Ulrich Residual intersections in Cohen-Macaulay rings
2005 Gajath Gunatillake C. Cowen Weighted composition operators
2005 Wook Kim F. Shahidi Standard module conjecture for GSpin groups
2005 Yuping Liu J. Ma Stochastic optimization problems in insurance
2005 Meike Niederhausen J. Ma Backward stochastic differential equations and generalized risk models
2005 Yalcin Sarol F. Viens Applications of the Gaussian stochastic analysis of fractional Brownian noise to regularity of stochastic heat equations and to portfolio optimization
2005 Lucian Sega W. Heinzer Ideal class semigroups of integral domains
2005 Brent Strunk W. Heinzer Castelnuovo-Mumford regularity, postulation numbers, and reduction numbers
2005 Xiaohong Wang Z. Feng Backward bifurcation in a mathematical model for tuberculosis with loss of immunity
2005 Mark Ward S. Szpankowski/F. Milner Analysis of an Error Resilient Lempel-Ziv Algorithm via Suffix Trees
2004 Ruth Enoch Carl Cowen Formal power series solutions for Schroeder's equation in several complex variables
2004 Dmitry Glotov Patricia Bauman Current and vortices in the three-dimensional thin-film Ginzburg-Landau model of superconductivity
2004 Jason Gower S. Wagstaff, Jr. Square Form Factorization
2004 Prabhu Janakiraman R. Banuelos Weak-type estimates for singular integral and maximal operators
2004 Sookyung Joo Dan Phillips The phase transition between chiral nematic and smectic C* liquid crystals
2004 Anandateertha Mangasuli Harold Donnelly Eigenvalues of the Laplacian for certain Riemannian metrics on S2and S3
2004 Byung-Geun Oh Alexandre Eremenko & David Drasin Curvature and hyperbolicity of surfaces
2004 Mark Rogers William Heinzer The index of reducibility of parameter ideals
2004 Jianzhong Sun Patricia Bauman Long-time limit for the Ginzburg-Landau system with pinning
2004 Oana Veliche Luchezar Avramov Homological dimensions for modules and complexes
2004 Razvan Veliche Donu Arapura Some results on fundamental groups of Kahler manifolds