Department of Mathematics

Department Directory

Recent Ph.D. Dissertations

Year Ph.D. Student Advisor Thesis Title
2011 Daniel O'Malley J. Cushman Diffusive processes run with non-linear clocks
2011 Nahm Sangil S. Wagstaff Several Problems in Number Theory
2011 Tsai Tung-Lin F. Shahidi Stability of gamma-factors for GLr x GLr
2010 Christine Berkesch U. Walther Euler-Koszul homology in algebra and geometry
2010 Lisa Driskell G. Buzzard Existence and stability of traveling wave solutions in a simplified model of cardiac tissue
2010 Philip Hackney J. McClure Homology operations in the spectral sequence of a cosimplicial space
2010 Pak Tung Ho S-K Yeung Results on geometric flow
2010 Bogume Jang F. Shahidi Transfer from GSO(4) to GL(4) and L-functions
2010 Ha Young Kim F. Viens Lyapunov exponents for stochastic Anderson models with non-Gaussian noise; Portfolio optimization in discrete time with proportional transaction costs under stochastic volatility
2010 Kuei-Nuan Lin B. Ulrich Rees algebra of diagonal ideals
2010 Andrea Rubiano P. Bauman Coupled energetic models for nematic elastomers
2010 Brytik Valeriy M. De Hoop "Elastic-wave reverse-time migration and tomography: a multi-scale approach"
2010 Fang Wang N. K. Yip Asymptotic analysis and numerical simulation of traveling wave solutions for crystal growth with corner regularization
2010 Shan Yang J. Ma Credit risk modeling under incomplete information
2010 Yiding Yang Z. Feng Studies of dynamics of infectious diseases using mathematical models
2009 Parsa Bakhtary J. Wlodarczyk On the cohomology of a simple normal crossings divisor and its dual complex, with applications to isolated singularities
2009 Lance Bryant W. Heinzer Filtered Numerical Semigroups and Applications to One-Dimensional Rings
2009 Sarah Bryant R. Banuelos Path and Spectral Properties of Certain Levy Processes
2009 Qirong Fang J. Shen Efficient and stable spectral methods for acoustic scattering over bounded obstacles
2009 David Gerberry F. Milner Mathematical Models of Tuberculosis and Childhood Diseases: Very Different Approaches for Very Different Diseases
2009 Hyun Ho Lee L. Brown Some examples in the non-stable K-theory of C*-algebras
2009 Jia Li D. Xiu On numerical properties of data assimilation methods
2009 Leonardo Marazzi Lopez A. Sa Barreto Direct and iverse scattering on conformally compact manifolds and asymptotically hyperbolic manifolds with polyhomogeneous metric
2009 Vakhid Masagutov L. Lempert Infinitely Generated Analytic Sheaves
2009 Carl Christian Mikkelsen A. Sameh Numerical methods for large Lyapunov equations
2009 David Pham R. Kaufmann G-Frobenius algebras, twisting, and the Drinfeld double
2009 James Price S. Abhyankar Weighted homogeneous polynomials and the Jacobian
2009 Vadakkumkoor Sandeep Varma F. Shahidi Descent and the Generic Packet Conjecture
2009 Ning Shang S. Wagstaff Jr. Low genus algebraic curves in cryptography
2009 Yihuang Shen B. Ulrich Monomial Curves, Gorenstein Ideals and Stanley Decompositions
2009 Yi Wang M. Roeckner Variational solutions to SPDE perturbed by a general Gaussian noise
2009 Yusun Wang J. Ma Variant reflected BSDE with application to finance
2009 Yu Xie W. Heinzer Formulas for the multiplicity of graded algebras
2009 Zhenqiu Xie P. Bauman Minimizers of the Lawrence-Poniach model under weak coupling and a parallel or slightly tilted field
2009 Ji Zhang M. Boutin A solution method for zero dimensional equation systems and a pose-free framework for the robust solution of the structure from motion problem
2009 Shun Zhang Z. Cai Recovery based A Posteriori error estimators for finite methods
2008 Monique Azar A. Gabrielov Some lower and upper bounds in real algebraic geometry
2008 Charles Crosby J. McClure A Monoidal Structure in the Category of Cosimplicial Chain Complexes
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 Songfu Zhang M. Roeckner Smoluchowski-Kramers Approximation for Stochastic Equations with Levy-Noise
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