The Math Department has offered the PhD program since 1993 with a financial mathematics track added in Fall 2017. The program has awarded 95 PhD degrees since 1998. The university has a website that includes current data on all UCF doctoral graduates.
Doctoral Graduates Database
2021
Dr. David Guinovart Sanjuan (Advisor: Kuppalapalle Vajravelu), Summer
Computation of effective properties of smart composite materials with generalized periodicity using the two-scales asymptotic homogenization method
Dr. Feng Yu (Advisor: Teng Zhang), Summer, Postdoc at University at Albany – State University of New York
Regularized Estimations in Some Statistical Problems
2020
Dr. Nazar Emirov (Advisor: Qiyu Sun), Fall, Postdoc at Boston College
Distributed algorithms and inverse graph filtering
Dr. Majid Noroozi (Advisor: Marianna Pensky), Summer, Postdoc at Washington University at Saint Louis
Estimation and Clustering in Block Models
Dr. Ramchandra Rimal (Advisor: Marianna Pensky), Summer, Assistant Professor of Department of Mathematics, Middle Tennessee State University
Estimation and Clustering in Network and Indirect Data
Dr. Wei Yan (Advisor: Jiongmin Yong), Summer, Postdoc at Michigan State University
Mean Field Optimal Control and Related Problems
Dr. Jason Bentley (Advisor: Piotr Mikusinski), Spring
Transfunctions and Other Topics in Measure Theory
2019
Dr. Nathaniel Adu (Advisor: Gary Richardson), Assistant Professor of Mathematics at Pacific Union College
Spatial Models with Specific Error Structures
Dr. Pawan Gupta (Advisor: Marianna Pensky), Postdoc at University of Maryland
Solution of linear ill-posed problems using overcomplete dictionaries
Dr. Elliot Blackstone (Advisor: Alexander Tovbis), Postdoc at Michigan State University
Spectral properties of the finite Hilbert transform on two adjacent intervals via the method of Riemann-Hilbert problem
Dr. Christian Bosse (Advisor: Zixia Song)
Hadwiger Numbers and Gallai-Ramsey Numbers of Special Graphs
Dr. Mangalagama Dewasurendra (Advisor: Kuppalapalle Vajravelu), Senior Lecturer at University of Peradeniya, Sri Lanka
Semi-Analytical Solutions of Non-linear Differential Equations Arising in Science and Engineering
Dr. Arielle Gaudiello (Advisor: Zhisheng Shuai)
Mathematical Investigation of the Spatial Spread of an Infectious Disease in a Heterogeneous Environment
Dr. Ted Juste (Advisor: Deguang Han)
Frames and Phase Retrieval
Dr. George Nguyen (Advisor: Ram Mohapatra)
Variational inclusions with general over-relaxed proximal point and variational-like inequalities with densely pseudomonotonicity
Dr. Rasika Rajapakshage (Advisor: Marianna Pensky), Senior Lecturer University of Kelaniya, Sri Lanka
Estimation and clustering in statistical ill-posed linear inverse problems
Dr. Jingmei Zhang (Advisor: Zixia Song)
Two Ramsey-related Problems
Dr. Frederick Reid (Advisor: Gary Richardson)
Lattice-Valued T-Filters and Induced Structures
2018
Dr. Rajitha Puwakgolle Gedara (advisor: Xin Li)
In Quest of Bernstein Inequalities: Rational Functions, Askey-Wilson Operator, and Summation Identities for Entire Functions
Dr. Kyle Trainor (Advisor: Joseph Brennan)
Hilbert Series for Graphs, Hypergraphs, and Monomial Ideals
Dr. Alexander York (Advisor: Joseph Brennan)
Quasi-Gorenstein Modules.
2017
Tyler Gomez (advisor: Jason Swanson)
Filtering Problems in Stochastic Tomography
Cheng Cheng (advisors: Xin Li and Qiyu Sun)
Sampling and Reconstruction of Spatial Signals
Martin Rolek (advisor: Zixia Song), Assistant Professor of Mathematics at Kennesaw State University
Coloring graphs with forbidden minors
2016
Ashish Bhatt (advisor: Brian Moore), Assistant Professor of Mathematics at Indian Institute of Technology (Indian School of Mines), Dhanbad
Structure-preserving finite difference methods for linearly damped differential equations
Aritra Dutta (advisor: Xin Li and Qiyu Sun)
Weighted low-rank approximation of matrices: some analytical and numerical aspects
Matthew Russo (advisor: Sudipto Choudhury)
Building Lax Integrable Variable-Coefficient Generalizations to Integrable PDEs and Exact Solutions to Nonlinear PDEs
Jeff Shape (advisor: Andrew Nevai)
A mathematical model for feral cat ecology with application to disease.
Maria Strawn (advisor: Constance Schober)
Modeling rogue waves in deep water
Yi Zhu (advisor: Yuanwei Qi)
Computational Study of Traveling Wave Solutions and Global Stability of Predator-Prey Models
2015
Lei, Ge (advisor: M. Nashed)
Calibration of Option Pricing in Reproducing Kernel Hilbert Space
Siple, Angela (advisor: P. Mikusinski
Integral Representations of Positive Linear Functionals
2014
Baxter, Mathew (advisor: K. Vajravelu)
Analytical solutions to nonlinear differential equations arising in physical problems
Haussermann, John (advisor: D. Dutkay)
Tiling Properties Of Spectra Of Measures
Krylov, Roman (advisor: A. Katsevich)
Inversion of the Broken Ray Transform
Martinenko, Evgeny (advisor: M. Pensky)
Functional Data Analysis and its application to cancer data
Sadiq, Kamran (advisor: A. Tamasan), Research Scientist at RICAM, Austrian Academy of Sciences
On the range of the Attenuated Radon Transform in strictly convex sets
Van Gorder, Robert A. (advisors: D. Kaup and K. Vajravelu), Senior Lecturer, Department of Mathematics and Statistics, University of Otago, New Zealand
Nonlinear Dispersive Partial Differential Equations of Physical Relevance with Applications to Vortex Dynamics
Veras, Johann (advisor: A. Tamasan), Sr Optical Engineer at Lockheed Martin Corp.
Electrical Conductivity Imaging via Boundary Value Problems for the 1-Laplacian
2013
Benhaddou, Rida (advisor: M. Pensky)
Nonparametric and Empirical Bayes Estimation Methods
Losert, Bernd (advisor: G. Richardson)
Extensions Of S-spaces
Michalak, Martin (advisor: B. Shivamoggi)
Dynamical Invariants And The Fluid Impulse In Plasma Models
Pecora, Keri Ann (advisor: S. Choudhury)
Partially Integrable Pt-symmetric Hierarchies Of Some Canonical Nonlinear Partial Differential Equations
Pehlivan, Saliha (advisors: D. Han and R. Mohapatra)
Spectrally Uniform Frames And Spectrally Optimal Dual Frames
Pridemore, Kathryn (advisor: M. Pensky)
Accelerated Life Model with Various Types of Censored Data
Ramesh Gayatri (advisors: Q. Sun and R. Mohapatra)
Modified Pal Interpolation And Sampling Bilevel Signals With Finite Rate Of Innovation
2012
Ahmadi Abhari, Seyed Hamed (advisor: J. Brennan)
Quantum Algorithms For: Quantum Phase Estimation, Approximation Of The Tutte Polynomial And Black-box Structures
2011
Alrud, Bengt (advisor: D. Dutkay)
Fractal Spectral Measures in Two Dimensions
Chen, Teng (advisor: J. Brennan)
Algebraic Aspects of (Bio) Nano-Chemical Reaction Networks And Bifurcations in Various Dynamical Systems
Davis, Justin (advisor: M. Pensky)
Bayesian Model Selection for Classification with Possibly Large Number of Groups
Riddlesworth, Tonya (advisor: J. Ren)
Estimation for the Cox Model with Various Types of Censored Data
Shao, Haimei (advisor: J. Yong)
Price Discovery In The U.S. Bond Market Trading Strategies And The Cost Of Liquidity
Smith, Todd Blanton (advisor: S. Choudhury)
Variational Embedded Solitons, and Traveling Wavetrains Generated by Generalized Hopf Bifurcations, in Some NLPDE Systems
2009
Galiffa, Daniel J. (advisor: M. Ismail), Associate Professor of Mathematics, Penn State Beherd.
The Sheffer B-type 1 Orthogonal Polynomial Sequences
Konate, Souleymane (advisor: A. Katsevich)
Efficient Cone Beam Reconstruction For The Distorted Circle And Line Trajectory
Lopez, Jerry (advisor: D. Han)
Optimal Dual Frames For Erasures And Discrete Gabor Frames
Macon, Lisa Fisher (advisor: Y. Zhao)
Almost Regular Graphs and Edge-Face Colorings of Plane Graphs
Shi, Qiling (advisor: Q. Sun)
Weighted Lp-stability For Localized Infinite Matrices
Sweet, Erik (advisor: K. Vajravelu)
Analytical And Numerical Solutions Of Differentialequations Arising In Fluid Flow And Heat Transfer Problems
2008
Boustique, Hatim (advisors: G. Richardson and R. Mohapatra)
Lattice-valued Convergence: Quotient Maps
Bryant, Donald (advisors: X. Li and M. Shah), Associate Professor of Mathematics, Indian River State College
Analysis Of Kolmogorov’s Superposition Theorem And Its Implementation In Applications With Low And High Dimensional Data.
Khosravi, Mehrdad (advisor: P. Mikusinski)
Pseudoquotients: Construction, Applications, And Their Fourier Transform
Landon, Benjamin (advisor: R. Mohapatra)
Degree of Approximation of Holder Continuous Functions
2007
Flores, Paul (advisor: R. Mohapatra)
Categorical Properties Of Lattice-valued Convergence Spaces
Holmquist, Sonia (advisor: R. Mohapatra)
An Examination of the Effectiveness of the Adomian Decomposition Method in Fluid Dynamic Applications
Mancas, Stefan C. (advisor: S. Choudhury), Professor of Mathematics, Embry-Riddle Aeronautical University.
Dissipative Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation: Bifurcations and Spatiotemporal Structure
Vogel, Thomas (advisor: D.J. Kaup), Associate Professor of Mathematics and Computer Science, Stetson University
Soliton Solutions Of Nonlinear Partial Differential Equations Using Variational Approximations And Inverse Scattering Techniques
Wlodarczyk, Tomasz (advisor: C. Schober)
Stability And Preservation Properties Of Multisymplectic Integrators
2006
Cowan, Doris C. (advisors: L. Andrews and C. Young)
Effects Of Atmospheric Turbulence On The Propagation Of Flattened Gaussian Optical Beams
He, Bin (advisor: J. Ren)
Application Of The Empirical Likelihood Method In Proportional Hazards Model
Jing, Wu (advisor: D. Han), Professor of Mathematics at Fayetteville State University
Frames in Hilbert C*-Modules
Singh, Neeta (advisor: D. Rollins)
Epidemiological Models For Mutating Pathogens With Temporary Immunity
Vetelino, Frida (advisor: C. Young)
Fade Statistics for a Lasercom System and the Joint PDF of a Gamma-Gamma Distributed Irradiance and Its Time Derivative
2005
Bradshaw, David (advisor: M. Pensky)
Decision Theory Classification Of High-dimensional Vectors Based On Small Samples
Heard, Astrid (advisor: M. Pensky)
Application Of Statistical Methods In Risk And Reliability
Salman, Mohamed (advisor: J. Cannon)
Utilization of Total Mass as a Control in Diffusion Processes
2004
Amezziane, Mohamed (advisor: M. Taylor), Professor, Department of Statistics, Actuarial & Data Sciences, Central Michigan University
Smoothing Parameter Selection In Nonparametric Functional Estimation
Edwards, Heather (advisor: M. Taylor)
Measures Of Concordance Of Polynomial Type
Masino, Aaron (advisor: C. Young)
The Wave Structure Function and Frequency Variance of Optical Waves in Moderate to Strong Atmospheric Turbulence With Application to Laser Radar
2003
Boncek, J. (advisor: D. Han)
Studies in tight frames and polar derivatives
Korotkova, Olga (advisor: L.C. Andrews)
Model for a Partially Coherent Gaussian Beam in Atmospheric Turbulence with Applications for Lasercom and LIDAR Systems
Muise, R. (advisor: R. Mohapatra)
Quadratic Filters for Automatic Pattern Recognition
VanDeCar, Sida (advisor: X. Li ), Professor of Mathematics, Valencia College
Inequalities Involving Complex Rational Functions
Zamyatin, Alexander (advisor: A. Katsevich)
Analysis of Cone Beam Reconstruction in Computer Tomography
2001
Boissy, Y. (advisor: G. Richardson)
Parameter Estimates for Fractional Autoregressive Spatial Processes
2000
Al Habash, Ammar (advisor: L.C. Andrews)
The Aperture Averaged Scintillation of the Intensity of a Gaussian Laser Beam Propagated Through Strong Optical Turbulence and Reflected By Various Targets
ElHor, A. (advisor: M. Pensky)
Statistical Estimation of the Locations of Lightning Events
1999
Brown, K. (advisor: S. Choudhury), Professor at Southern Adventist University
Linear and Nonlinear Kelvin-Helmholtz Instabilities of High Velocity Magnetized Shear Layers With Generalized Polytrope Laws
1998
Kelly, D. (advisor: L.C. Andrews)
Temporal Propagation Characteristics of Ultrasound Space-Time Gaussian Pulses In A Laser Satellite Communication System
Minkler, Gary (advisor: G. Richardson)
Regularity And Compactness in Fuzzy Convergence Spaces
Minkler, Jing Q. (advisor: G. Richardson)
On the Regularity of Probabilistic Convergence and Filter Spaces
Tanriver, U. (advisor: S. Choudhury), Associate Professor at Bethune-Cookman University
One And Two Dimensional Coherent Structures Of Nonlinear Partial Differential Equations Via Painlevé Analysis
To add or update information, please e-mail Eduardo.Teixeira@ucf.edu.