Department of Mathematics and Statistics

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.

Quasi-Natural Symmetries and Connections for Bilinear Forms

advisor: Geoffrey Martin

Kottegoda, Chanaka

Complex Dynamics and Bifurcations of Predator-prey 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

Ten-dimensional Levi decomposition Lie algebras with so(3) semi-simple factor and Matrix Representations of them

advisor: Gerard Thompson $\ast$

2020

Khanal, Sunil

Representations of nine-dimensional Levi decomposition Lie algebras and Lie-Einstein 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

Samarawickrama-Kuruppuge, Paduma E.

On the Reducibility of Systems of Quasi-Periodic Linear Functional Differential Equations

advisor: Alessandro Arsie

Xie, Yanmei

Empirical Likelihood Methods in Nonignorable Covariate-Missing 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.

Lie-Einstein 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 four-dimensional Lie group

advisor: Gerard Thompson $\ast$

Karki, Ramesh

Sobolev gradient semi-flows 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 Anti-deSitter-Schwarzschild Space

advisor: Mao-Pei 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 Hilbert-Hardy 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: En-Bing Lin $\ast$

2006

Deng, Xin

Goodness-of-fit 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 case-control 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.

Bianchi-Backlund 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 2-D nonseparable wavelet interpolation and approximation

advisor: En-Bing 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: En-Bing 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: En-Bing Lin $\ast$

1997

Vadakkekurputh, Vijay

On locally finite automorphism groups

advisor: Martin R. Pettet $\ast$

1996

Xu, Shaogang

An ergodic process of zero divergence-distance 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

Topologically-algebraic 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 $\ast$