Past UT Mathematics and Statistics Ph.D.s
This page lists the past recipients of Ph.D.s in Mathematics from the University of Toledo. Along with the recipient, the thesis title and advisor are also given.
$\ast$ indicates faculty advisors no longer actively affiliated with the department's graduate program.
 2022

 Alsafri, Areej A.

QuasiNatural Symmetries and Connections for Bilinear Forms
advisor: Geoffrey Martin
 Kottegoda, Chanaka

Complex Dynamics and Bifurcations of Predatorprey Systems with Generalized Holling Type Functional Responses and Allee Effects in Prey
advisor: Alessandro Arsie; Chunhua Shan
 2021

 Alraddadi, Rawiyah Muneer S.

Statistical Modeling and Forecasting for Time Series With Trend
advisor: Qin Shao
 Ansari, Khursed

Module Structure of Generalized Weyl Algebra
advisor: Alimjon Eshmatov
 Bandara, Narayana Mudiyanselage P S

Tendimensional Levi decomposition Lie algebras with so(3) semisimple factor and Matrix Representations of them
advisor: Gerard Thompson $\ast$
 2020

 Khanal, Sunil

Representations of ninedimensional Levi decomposition Lie algebras and LieEinstein Spaces in 7 Dimension
advisor: Gerard Thompson $\ast$
 Nawalage, Uthpala H.

Complex Symmetry of Weighted Composition Operators and Toeplitz Operators with respect to Weighted Composition Conjugations
advisor: Trieu Le
 2019

 SamarawickramaKuruppuge, Paduma E.

On the Reducibility of Systems of QuasiPeriodic Linear Functional Differential Equations
advisor: Alessandro Arsie
 Xie, Yanmei

Empirical Likelihood Methods in Nonignorable CovariateMissing Data Problems
advisor: Biao Zhang
 2018

 Nguyen, Hanh T.

Lasso for Autoregressive and Moving Average Coeffients via Residuals of Unobservable Time Series
advisor: Qin Shao
 Subedi, Krishna

Hyponormality and Positivity of Toeplitz operators via the Berezin transform
advisor: Zeljko Cuckovic
 Subedi, Rishi R.

LieEinstein Spaces in Low Dimensions
advisor: Gerard Thompson $\ast$
 Thilakarathna, Damith N.

Finite Rank Perturbations of Toeplitz Products on the Bergman Space of the Unit Disc
advisor: Trieu Le
 Vasaturo, Anthony P.

Invertibility of Toeplitz Operators via Berezin Transforms
advisor: Zeljko Cuckovic
 2017

 Clos, Timothy

Compactness of Hankel operators with continuous symbols on domains in $\mathbb{C}^2$
advisor: Sonmez Sahutoglu
 2016

 He, Wencan

Statistical Inference for Binormal ROC Curves under a Density Ratio Model
advisor: Biao Zhang
 Lamichhane, Manoj

Levi Subalgebras of gl(5,R)
advisor: Gerard Thompson $\ast$
 Mei, Jingning

Efficient Inference for Parameters and Error Distribution of Unobservable Time Series
advisor: Qin Shao; Rong Liu
 Ren, Kaili

Empirical likelihood methods in missing response problems and causal inference
advisor: Biao Zhang
 2015

 Karki, Manoj B.

Invariant Riemannain metrics on fourdimensional Lie group
advisor: Gerard Thompson $\ast$
 Karki, Ramesh

Sobolev gradient semiflows and applications to nonlinear problems
advisor: Alessandro Arsie
 Liu, Gang

A New Approach to ANOVA Methods for Autocorrelated Data
advisor: Qin Shao
 Pokharel, Krishna P.

An Isospectral Flow for Complex Upper Hessenberg Matrices
advisor: Alessandro Arsie
 Tang, Lin

Efficient Inference for Periodical autoregressive Coefficients with Polynomial spline Smoothing Approach
advisor: Qin Shao
 Wang, Suohong

Semiparametric Inferences under Density Ratio Models
advisor: Biao Zhang
 2014

 Bhattaral, Giriraj

Inverse Problem of Lagrangian Mechanics in Dimension Three
advisor: Gerard Thompson $\ast$
 Liu, Hanyang

On the Long Time Existence and Convergence of Inverse Curvature Flow in AntideSitterSchwarzschild Space
advisor: MaoPei Tsui $\ast$
 Paudyal, Bhupendra

Eigenfunctions of composition operators
advisor: Zeljko Cuckovic
 2013

 Appuhamy, Amila K.

Algebraic properties of Toeplitz operators on weighted Bergman spaces
advisor: Zeljko Cuckovic
 Zhao, Ming

Some Topics on Semiparametric Statistical Inferences
advisor: Biao Zhang
 2012

 Nikpour, Mehdi

Toeplitzness of the adjoint of composition operators and parametric Toeplitz operators on the HilbertHardy space
advisor: Zeljko Cuckovic
 Zhang, Dong

Statistical Inferences of Comparison between two Correlated ROC Curves with Empirical Likelihood Approaches
advisor: Biao Zhang
 2011

 Shabanskaya, Anastasia V.

Classification of Six Dimensional Solvable Indecomposable Lie Algebras with a codimension one nilradical over R
advisor: Gerard Thompson $\ast$
 Stephens, Robert

The Steenrod Algebra as a Prime Ring and the Krull Dimensions of the Steenrod Algebra
advisor: Charles J. Odenthal $\ast$
 2010

 Crumley, Michael

Ultra products of Tannakian categories and generic representation theory of unipotent algebraic groups
advisor: Paul R. Hewitt $\ast$
 Marinov, Petko

Stability of capillary surfaces with planar or spherical boundary in the absence of gravity
advisor: Henry C. Wente $\ast$
 Powell, Megan O.

Mathematical Models of the Activated Immune System during HIV Infection
advisor: Harris W. Vayo $\ast$
 2009

 Gajewski, David C.

Analysis of groups generated by quantum gates
advisor: Paul R. Hewitt $\ast$
 Yousef, Abdelrahmen F.

Two problems in the theory of Toeplitz operators on the Bergman space
advisor: Rao V. Nagisetty $\ast$
 2007

 Hindeleh, Firas Y.

Tangent and Cotangent Bundles, Automorphism Groups and Representations of Lie Groups
advisor: Gerard Thompson $\ast$
 Liu, Nanshan

_
advisor: EnBing Lin $\ast$
 2006

 Deng, Xin

Goodnessoffit Tests for Density Ratio Models
advisor: Biao Zhang
 Rawashdeh, Mahmoud S.

Representations for Six Dimensional Lie Algebras with a codimension two nilradical and the inverse problem for the associated canonical connection
advisor: Gerard Thompson $\ast$
 Wan, Shuwen

Statistical Inferences for ROC Curves under Density Ratio Models
advisor: Biao Zhang
 2005

 Hettiarachchi, Chamath J.

Representations for Six Dimensional Lie Algebras with a codimension one nilradical
advisor: Gerard Thompson $\ast$
 Zhang, Shiju

Statistical Inferences under a semiparametric finite mixture model
advisor: Biao Zhang
 2003

 Peng, Cheng

Fitting and testing continuation ratio logistic regression models based on casecontrol data
advisor: Biao Zhang
 Strugar, Igor

The inverse problem for the canonical Lie group connection in dimension five
advisor: Gerard Thompson $\ast$
 2002

 Cao, Rongmei

Lagrangian submanifold of almost symplectic manifolds
advisor: Geoffrey K. Martin
 Mahler, Andreia B.

BianchiBacklund Transformations for Constant Mean Curvature Surfaces with Umbilics  Theory and Application
advisor: Henry C. Wente $\ast$
 Shi, Hongbo

Finitistic dimension of monomial algebras
advisor: Charles J. Odenthal $\ast$
 2001

 Guan, Zhong

Some results about empirical likelihood method
advisor: Biao Zhang
 Ling, Yi

Theory and applications of 2D nonseparable wavelet interpolation and approximation
advisor: EnBing Lin $\ast$
 2000

 Ghanam, Ryad

The holonomy groups of four dimensional neutral metrics
advisor: Gerard Thompson $\ast$
 1999

 Ma, Jingjing

Lattice Ordered Rings
advisor: Stuart Steinberg $\ast$
 Xiao, Zhengchu

Theory and applications of multiwavelet approximation
advisor: EnBing Lin $\ast$
 1998

 Wang, Bowen

Geometric structures of the dynamical equations
advisor: Geoffrey K. Martin
 Zhou, Xiaolin

Wavelet interpolation and applications for partial differential equations
advisor: EnBing Lin $\ast$
 1997

 Vadakkekurputh, Vijay

On locally finite automorphism groups
advisor: Martin R. Pettet $\ast$
 1996

 Xu, Shaogang

An ergodic process of zero divergencedistance from the class of all stationary processes
advisor: Paul C. Shields $\ast$
 1995

 Nyayapati, Swami Prer Kumar

Some new results in the rapidly forced pendulum
advisor: Martin Kummer $\ast$
 1993

 Patnaik, Umadhar

Volume constrained Douglas problem and the stability of liquid bridges between two coaxial tubes
advisor: Henry C. Wente $\ast$
 1992

 Gompa, Vijaya

Topologicallyalgebraic categories of universal algebras
advisor: H. L. Bentley $\ast$
 1989

 Murthy, Nistala

Essentially algebraic categories of partial algebras
advisor: H. L. Bentley $\ast$
 1987

 Gompa, Raghuramaiah

Approximations to the quantum mechanical time evolution
advisor: Martin Kummer $\ast$
 1986

 Garimella, Ramesh

Two problems in the theory of Banach algebras
advisor: Rao Nagisetty $\ast$
 1982

 Bick, Richard Yee

Continuous alphabet channels: The $\bar{\rho}$topology, $\bar{\rho}$finite memory and block coding
advisor: Paul C. Shields $\ast$
 1978

 Payne, Cloyd A., Jr.

Intercellular impedance of myocardium tissue
advisor: Harris W. Vayo $\ast$
 1977

 Arnold, Gene W.

Stability of Hill's equation by a perturbation method
advisor: Martin Kummer $\ast$
 1975

 Czarcinski, Donald P.

The Cech homology theory for nearness spaces
advisor: H. L. Bentley $\ast$
 Hastings, Maryam

Epireflective hulls in Near
advisor: H. L. Bentley $\ast$
 1974

 Chu, Cecelia

The theory of approximation by polynomials with integral coefficients
advisor: R. Jackson $\ast$
 1973

 Beehler, Jerry R.

Categories and semigroups
advisor: A. Johanson $\ast$
 Taylor, Barbara June

On Wallman rings and embeddings
advisor: H. L. Bentley $\ast$
 1972

 Antoniou, Nikolas D.

On the convergence of perturbation theories that avoid secular terms in quantum mechanics
advisor: Martin Kummer $\ast$
 Mcdonald, Dennis A.

Arithmetical functions on a locally finite, locally modular, local lattice
advisor: J. Chidambaraswamy $\ast$
 Movasseghi, Darius

Problems in analytic function theory
advisor: A. R. Reddy $\ast$
 Repsys, Rimantas

Spaces of measures on variable sigma algebras
advisor: S. S. Blakney $\ast$
 1971

 Obi, Emman C.

The derivatives of the Rayleigh function
advisor: R. Jackson $\ast$
 1970

 Cano, Julio V.

On fixed points, common fixed points and periodic points of continuous functions on a metric space
advisor: A. Johanson $\ast$
 Robinson, Richard A.

Some theorems related to pattern recognition
advisor: Harris W. Vayo $\ast$
 1969

 Schwartz, Howard J.

Composition operators on $H^p$
advisor: D. J. Deckard $\ast$