PhD Alumni
(Click this link to view PhD dissertations)
2023
- Bhullar, Jasmine - Advisor: TBA. First position:TBA
Thesis: TBA
- Chen, Menzi - TBA: TBA. First position: TBA
Thesis: TBA
- Chen, Yongchang - TBA: TBA. First position: TBA
Thesis: TBA
- Fularczyk, Nickolas - Advisor:TBA. First position:TBA
Thesis: TBA
- Hemenway, Gregory - Advisor: Vaughn Climenhaga. First position:TBA
Thesis: TBA
- Huang, Yewen - Advisor: TBA. First position:TBA
Thesis: TBA
- Kim, Jae Youn - Advisor: TBA. First position:TBA
Thesis: TBA
- May, Jennifer - Advisor: TBA. First position:TBA
Thesis: TBA
- Panagoloulous, Nikolaos - Advisor: TBA. First position:TBA
Thesis: TBA
- Subedi, Manoj - Advisor: TBA. First position:TBA
Thesis: TBA
- Sun, Chunmei - Advisor: TBA. First position:TBA
Thesis: TBA
- Thacker, Stephen - Advisor: TBA. First position:TBA
Thesis: TBA
2022
- Abouserie, Ahmed Reda - Advisor: Bernhard Bodmann.
Thesis: Phase Retrieval for Finitely-Supported Complex Measures
- Batista, Michael - Advisor: Mikhail Perepelitsa
Thesis: Mathematical Modeling of Bacterial Motion with Stochastic Reversals
- Chen, Huayan - Advisor: Alan Haynes. First position: Postdoctoral Associate, Molecular and Human Genetics, BCM
Thesis: Topics in Diophantine Approximation
- Cortez, Jayson - Advisor: TBA. First position: Assistant Professor, University of the Philippines at Los Bańos
Thesis: Hierarchical Bayesian Inference of Stochastic Biochemical Processes
- Dang, Thuyen - Advisor: Yuliya Gorb. First position: Postdoc, University of Chicago
Thesis: Homogenization of Non-dilute Suspension of Viscous Fluid with Magnetic Particles
- Das, Akshat - Advisor: Alan Haynes. First position: Visiting Asst. Professor, University of Connecticut
Thesis: Diophantine Approximation in p-adic Solenoids
- Ghasemi, Mahmood - Advisor: Robert Azencott. First position: Postdoc, MD Anderson Cancer Research Center
Thesis: Gene Transcription Modeling at the Cell Population Level
- Stickler, Megan - Advisor: Kresimir Josic. First position: Assistant Professor, Carthage College
Thesis: Decision Making in Multi-Agent Groups
- Su, Yingxue - Advisor: Robert Azencott.
Thesis: Rare Events Simulations in Bacterial Genetic Evolution Models
- Sun, Qi - Advisors: Maxim Olshanskii, Annalisa Quaini. First position: Postdoc, Math. Dept. of University of North Carolina at Chapel Hill
Thesis: Finite element methods and machine learning for some multi-phase problems
- Zhiliakov, Alexander - Advisor: Maxim Olshanskii. First position: Senior Software Engineer at Mathworks
Thesis: Trace Finite element for Material Surface Flows
2021
- Amrutam, Tattwamasi - Advisor: Mehrdad Kalantar. First position: Ben-Gurion University of the Negev
Thesis: TBA
- Burton, Jonathan - Advisor: TBA. First position: TBA
Thesis: TBA
- Chen, Xiaoqian - Advisor: Ilya Timofeyev. First position: Crabel Capital Management
Thesis: Effective Data-Driven Models for Chaotic and Turbulent Dynamics
- Duvall, Jason - Advisor: TBA. First position: TBA
Thesis: TBA
- Egarguin, Neil Jerome - Advisor: TBA. First position: TBA
Thesis: TBA
- He, Yan - Advisor: Min Ru. First position: TBA
Thesis: Height inequality from different aspects
- Li, Ang - Advisor:Tsorng-Whay Pan. First position: Lane College
Thesis: Numerical Methods and Modeling for Simulating the Motion of Self-propelled Swimmer in Incompressible Viscous Fluids
- Lin, Weiqiang - Advisor: TBA. First position: TBA
Thesis: TBA
- Stout, Edward - Advisor: William Ott. First position: TBA
Thesis: TBA
2020
- Assi, Sabrine - Advisor: TBA
Thesis: Geometric Multiscale Representations and Applications to the Analysis to Retinal Fundus Images
- Akil, Alan - Advisor: Kresimir Josic
Thesis: The Dynamics of Balanced Neural Networks Under Spike-Timing Dependent Plasticity
- Bedekar, Prajakta - Advisor: Mikhail Perepelitsa. First Position: The Johns Hopkins University
Thesis: Mathematical Models of Self-Organized Patterning of human Embryonic Stem Cells (hESCs)
- Chehade, Sarah - Advisor: Anna Vershynina
Thesis: Saturating Quantum Relative Entropy Inequalities
- Chen, Xi - Advisor: Ilya Timofeyev
Thesis: Consistency and Convergence of Non-parametric Estimation of Drift and Diffusion Coefficients in SDEs from Long Stationary Time-series
- Domel-White, Dylan - Advisor: Bernhard Bodmann. First position: Vanderbilt University
Thesis: Phase Retrieval from Random One-Bit Measurements
- Molina, Wilfredo - Advisor: Demetrio Labate. First Position: Capital Group
Thesis: Improving the Stability of the Recovery of Algebraic Curves via Bernstein Basis Polynomials and Neural Networks
- Nguyen, Khanh (Kate) - Advisor:TBA. First Position: Deutsches Primatenzentrum GmbH
Thesis:TBA
- Pahari, Basanta - Advisor: Demetrio Labate. First Position: Florida A&M/ Florida State University
Thesis: Smooth Projections and Optimally Sparse Representation of Cartoon-like Cylindrical Solids
- Rodriguez, Ayllon - Advisor:TBA
Thesis: Shearlet-based Analysis of Image Inpainting and Convolutional Framelets
- Safaripoorfatide, Mohamadkazem - Advisor: TBA. First Position: Texas A&M Health Science Center
Thesis:TBA
- Sarmadi, Saeed - Advisor:TBA
Thesis: Stochastic Neural Networks for Cell Tracking in Video Recordings of Bacterial Colonies
- Stanaityte, Rita - Advisor:TBA
Thesis: ILU and Machine Learning Based Preconditioning For The Discretized Incompressible Navier-Stokes Equations
- Su, Yaofeng - Advisor: Andrew Török
Thesis: Limit Theorems for Non-stationary and Random Dynamical Systems
- Tepsan, Worawit - Advisor: David Blecher
Thesis: Real Operator Spaces, Real Operator Algebra and Real Jordan Operator Algebras
- Zhang, Xiao - Advisor:TBA
Thesis: Modeling of NBA Game Data and their Correlation Structure
2019
- Bicol, Kayla - Advisor: Annalisa Quaini. First Position: MIT
Thesis: Advances in Algorithms for Atmospheric Sciences
- Carney, Megan - Advisor: Matthew Nicol.
Thesis: An Investigation of the Statistical Properties of Certain Chaotic Dynamical Systems Through Extremes and Recurrence: A Theoretical and Applied Approach
- Cinar, Selahittin - Advisor: Kresimir Josic.
Thesis: Inference Methods for Synthetic Gene Regulatory Networks
- Ding, Junyu - Advisor: Wenjiang Fu.
Thesis: A Novel Statistical Method to Examine the Cancer Disparities and the Effectiveness of Cancer Intervention
- Gao, Kuikui - Advisor: Wenjiang Fu.
Thesis: Statistical Inference in Age Period and Cohort models
- Gul, Nuray - Advisor: Shanyu Ji.
Thesis: On Maps from N- Ball into (3n-2)-Ball
- Haque, Mozahid - Advisor: Mark Tomforde. First position: MetOx Technologies, Inc.
Thesis: Endomorphisms of Leavitt Path Algebras
- Hekmati, Rasoul - Advisor: Robert Azencott. First position: Baylor College of Medicine
Thesis: Machine Learning to Analyze fMRI Brain Activity Recordings
- Karantzas, Nikolaos - Advisor: Emanuel Papadakis. First position: Baylor College of Medicine
Thesis: Compactly Supported Frame Wavelets and Applications
- Kim, Daewa - Advisor: Annalisa Quaini.
Thesis: A Kinetic Theory Approach to Pedestrian Motion and Onset of Disease Spreading
- Nguyen, Duong - Advisor: William Ott.
Thesis: Statistical Properties of High Dimensional Non-Stationary Dynamical Systems
- Rathinakumar, Krithika - Advisor: Annalisa Quaini.
Thesis: A Microscopic Approach to Pedestrian Dynamics and the Onset of Disease Spreading
- Walden, Richard - Advisor: Min Ru.
Thesis: Uniqueness Results for a Class of Holomorphic Mappings on a Complex Disc
- Wang, Zhenhua - Advisor: David Blecher.
Thesis: Theory of Jordan Operator Algebras and Operator * - Algebras
- Zhang, Peng - Advisor: Robert Azencott.
Thesis: Diffeomorphic Shape Matching Based on an Operator Splitting Method
2018
- Bhandari, Chandi - Advisor: Ronald Hoppe.
Thesis: Numerical Simulation of 4th Order Total Variation Flow Problem by Using C0-IPDG Method
- Lopez, Juan - Advisor: Giles Auchmuty. First position: USAA
Thesis: Well-posedness for Weak Solutions of Axisymmetric Div-Curl Systems
- Mitsakos, Nikolaos - Advisor: Manos Papadakis. First position: Anadarko Petroleum Corporation
Thesis: Virtual Multimodal Object Detection and Classification with Deep CNNs
- Muravina, Viktoria - Advisor: Robert Azencott. First position: Zacks Investment Research
Thesis: Statistical Analysis of Biomedical Data
- Radillo, Adrian Ernesto - Advisor: Kresimir Josic. First position: University of Pennsylvania
Thesis: Optimal Decision Making Models In Changing Environments
- Saha, Dipanwita - Advisor: Robert Azencott. First position: Cubic Transportation Systems
Thesis: Parameter Estimation of the Heston Volatility SDE Under the Non-Gaussian Regime
- Winkle, James - Advisor: Kresimir Josic. First position: Rice University
Thesis: Mechanical Constraint and Cell Shape Interaction Modeling of Bacterial Growth in Microfluidic Devices
2017
- Bearden, Alex - Advisor: David Blecher. First position: Tenure-Track position, UT Tyler
Thesis: Hilbert C^*-Modules Over Sigma^*-Algebras
- Cheng, Wanli - Advisor: Maxim Olshanski. First position: Monsanto
Thesis: A Motion Of Freely Oscillating Droplet Of A Yield Stress Fluid: Analysis And Numerical Studies
- Chiu, Shang-Huan - Advisor: Tsorng-Whay Pan
Thesis: 3D Dlm/Fd Methods For Simulating The Motion Of Spheres In Bounded Shear Flows Of Oldroyd-B Fluids
- Geiger, Brett - Advisor: Robert Azencott. First position: Postdoctoral Fellow, Southern Methodist University
Thesis: Large Deviations For Dynamical Systems With Small Noise
- Gul, Ugur - Advisor: Min Ru. First position: Assistant Professor, Cankiri Karatekin University, Turkey
Thesis: Uniqueness Results of Algebraic Curves and Related Topics
- Guo, Aixia - Advisor: Tsorng-Whay Pan. Co-Advisor: Jiwen He
Thesis: Numerical Simulation and Modeling of Particle Motions in 3D Stokes Flow
- Kayasandik, Cihan - Advisor: Demetrio Labate. First position: Postdoc, University of Houston
Thesis: Geometric Multiscale Analysis And Applications To Neuroscience Imaging
- Kurzanova, Daria - Advisor: Yulya Gorb.
Thesis: Efficient Numerical Treatment Of High-Contrast Diffusion Problems
- Liu, Changan - Advisor: Kresimir Josic
Thesis: The Impact Of Stdp And Correlated Activity On Network Structure
- Mills, Charles - Advisor: Min Ru. First Position: Lecturer, UT Austin
Thesis: An Improved Defect Relation for Holomorphic Curves in Projective Varieties
- Ouegnin, François- Advisor: Ilya Timofeyev
Thesis: Non-Parametric Estimation Of Stochastic Differential Equations
- Platt, Eric - Advisor: Daniel Onofrei. First position: Postdoc, University of Houston
Thesis: Active Manipulation of Acoustic Fields and Applications
- Poll, Daniel - Advisor: Zachary Kilpatrick. First position: NSF-RTG funded postdoctoral fellow in the Department of Engineering Sciences and Applied Mathematics at Northwestern University
Thesis: Stochastic Dynamics In Bump Attractor Models Of Spatial Working Memory
- Sarkisov, Sergey - Advisor: Robert Azencott.
Thesis: Parameters Estimation for Stochastic Genetic Evolution of Asexual Populations
- Stolarczyk, Simon - Advisor: Kresimir Josic.
Thesis: Decision Making in Social Networks
- Suri, Nishant - Advisor: Mark Tomforde.
Thesis: Naimark's Problem For Graph C^*-Algebras
- West, James - Advisor: Mark Tomforde. First position: Instructional Assistant Professor, University of Houston
Thesis: Two Problems In Graph Algebras and Dynamical Systems
- Williams, Cameron - Advisor: Bernhard Bodmann.
Thesis: From Generalized Fourier Transforms to Coupled Supersymmetry
- Zhang, Peixin - Advisor: Wenjiang Fu.
Thesis: A Comprehensive Method for Integrated (Realized) Volatility Estimation
2016
- Agrawal, Akshay - Advisor: Ronald W. Hoppe.
Thesis: Optimization of Plane Wave Directions in Plane Wave Discontinuous Galerkin Methods For the Helmholtz Equation
- Alsheikh, Dina Naman A - Advisor: Ronald W. Hoppe.
Thesis: The Hypercircle Method and an Equilibrated a Posteriori Error Estimator for Discontinuous Galerkin Approximations of Elliptic Boundary Value Problems on Simplicial Meshes
- Alvarez, Angelynn - Advisor: Gordon Heier. First position: Visiting Assistant Professor, University of Connecticut
Thesis: On the Positive Holomorphic Sectional Curvature of Projectivized Vector Bundles Over Compact Complex Manifolds
- Chaturvedi, Ananya - Advisor: Gordon Heier.
Thesis: On Holomorphic Sectional Curvature and Fibrations
- Chowdhury, Tasadduk - Advisor: Robert Azencott. First position: Quantitative Associate for Wells Fargo Securities in Charlotte, North Carolina.
Thesis: Region-Of-Interest Reconstruction From Truncated Cone-Beam CT
- Huang, Shujiao - Advisor: Wenjiang Fu.
Thesis: A Smoothing Model and Its Asymptotics with Applications to Health Studies and Social Research
- Hussein, Saud - Advisor: Min Ru. First position: Postdoc, Institute of Mathematics, Academia Sinica, Taiwan.
Thesis: An Improved Defect Relation and Height Inequality
- Kumar, Rahul - Advisor: Roland Glowinski.
Thesis: On the Control of Systems Modelled by Partial Differential Equations
- Leonhard, Nicole - Advisor: Vern I. Paulsen.
Thesis: Correlation Minimizing Frames
- Liao, Hungzen - Advisor: Min Ru and Gordon Heier. First position: Austin Waldorf School.
Thesis: Some Results On the Degeneracy of Entire Curves and Integral Points in the Complements of Divisors
- Ng, Wai Hin - Advisor: Vern I. Paulsen.
Thesis: Tensor Products of Operator Systems Via Factorization
- Park, Jungim - Advisor: Min Ru. First position: Lecturer, Lone Star College
Thesis: Unicity Results for Gauss Maps of Minimal Surfaces Immersed in R^m
- Schoneman, Justin - Advisor: Robert Azencott.
Thesis: Stochastic Models for Genetic Evolution of Bacterial Populations
- Weber, Thomas - Advisor: William Ott.
Thesis: Optimization of Plane Wave Directions in Plane Wave Discontinuous Galerkin Methods For the Helmholtz Equation
- Zheng, Da - Advisor: Vern I. Paulsen.
Thesis: The Operator System Generated by Cuntz Isometries and Its Applications
2015
- Hammen, Nathaniel - Advisor: Bernhard Bodmann. First position: Post-doctoral Research Fellow, Airforce Institute of Technology.
Thesis: Stable Phase Retrieval Using Low-Redundancy Frames of Polynomials
- Hass, John - Advisor: Bernhard Bodmann. First position: Post-doc at University of Missouri.
- Liu, Zhuo - Advisor: Yuri Kuznetsov. First position: Quant/Modeling Analyst at KeyBank, Cleveland.
Thesis: Mixed Finite Element Methods with Piece-Wise Constant Fluxes.
- Maxwell, Nicholas - Advisor: Bernhard Bodmann. First position: Airtech Electronics in Raleigh, NC.
- Ortiz, Carlos - Advisor: Vern I. Paulsen. First position: Post-doc, Pacific Northwest National Laboratory (PNNL).
- Ozcan, Burcin - Advisor: Manos Papadakis.
Thesis: Image Analysis Using Directional Multiscale Representations and Applications For Characterization of Neuronal Morphology
- Preston, Benjamin - Advisor: Edward Kao. First position: USAA
- Whalen, Tristan - Advisor: Mark Tomforde. First position: Lecturer, University of Houston and University of Texas at Dallas.
Thesis: Classification of Leavitt Path Algebras using Algebraic K-theory.
- Zhang, Licheng - Advisor: Matthew Nicol. First position: CGGVeritas, Houston.
Thesis: Some statistical properties of chaotic dynamical systems: non-stationary central limit theorems and extreme value theory.
2014
- Jose Manuel Lopez - Advisor: Kre許imir Josi덑. First position: Software Developer at iOffice.
- Andrews, Jared - Advisor: Shanyu Ji. First position: Data Scientist at Havas Edge, San Diego.
Thesis: A New Gap Theorem Result For Proper Holomorphic Mappings Between Complex Balls. - Cho, Manki - Advisor: Giles Auchmuty. First position: Post-doc, University of Houston.
Thesis: Steklov Eigenproblems and Approximations of Harmonic Functions. - Freeman, Jeff - Advisor: Robert Azencott. First position: Schlumberger Tech Co.
Thesis: Combining Diffeomorphic Matching With Image Sequence Intensity Registration. - Guo, Wei - Advisor: Jingmei Qiu. First position: Post-doc Fellow, Michigan State University.
Thesis: High Order Schemes for Transport Problems: Semi-Lagrangian Schemes with Applications to Plasma Physics and Atmospheric Sciences, and Superconvergence. - Jegdic, Ilija - Advisor: Richard Sanders. First position: Adjunct Professor, Lone Star College
Thesis: Large Time Step and Overlapping Grids for Conservation Laws. - Lee, Brandon - Advisor: Shanyu Ji. First position: Clements High School, Sugar Land.
Thesis: Pseudoconformal Curvature and the Embeddability of a CR Hypersurface. - Mabuza, Sibusiso - Advisor: Sun돑ica 뎱ani덑. First position: Postdoctoral Research Scientist, University of Wuerzburg · Institut für Mathematik.
Thesis: Modeling, Analysis and Numerical Simulation of Reactive Solute Transport Problems in Moving Domains. - Meklachi, Taoufik - Advisor: Daniel Onofrei. First position: Visiting Assistant Professor in Drexel University.
Thesis: New Insights on Quasistatic and Acoustic Cloaking. - Nguyen, Trung - Advisor: Jiwen He.
Thesis: A Primal-Dual Active Set Method and Algorithm for Chemical Equilibrium Problems Related to Modeling of Atmospheric Inorganic Aerosols. - Niu, Xiting - Advisors: Tsorng-Whay Pan and Roland Glowinski.
Thesis: The Dynamics of Red Blood Cell Under the Effect of Shape Memory - Upadhyay, Sanat - Advisor: Manos Papadakis. First position: Post-Doctoral Research Fellow at Texas Institute for Measurement, Evaluation, and Statistics at UH.
Thesis: Extraction and Normalization of Directional Characteristics of Images and Textures Using Multiscale Transforms. - Xu, Jielin - Advisor: Yuri Kuznetsov.
Thesis: Mixed Finite Element Method on Hexahedral Meshes. - Zhang, Lan - Advisor: Sun돑ica 뎱ani덑. First position: Calculations Specialist at Emerson Process Management.
Thesis: Numerical Simulation Of Two-phase Flow Using The Level Set Approach. - Zhao, Shihai - Advisor: Tsorng-Whay Pan.
Thesis: Numerical Simulation of Red Blood Cells in Capillaries
2013
- Aggarwal, Aanchal - Advisor: Robert Azencott. First position: IBM Research Center, NY.
Thesis: Large Deviations Approach for Stochastic Genetic Evolution - Bhardwaj, Manisha - Advisor: Kresimir Josic. First position: Geospatial Analytics Scientist at Monsanto, Missouri.
Thesis: Visual Decision Making in The Presence of Stimulus and Measurement Correlations - Kong, Ao - Advisor: Robert Azencott.
Thesis: Mass Spectrometry Data Mining for Cancer Detection. - Liu, Zhiheng - Advisor: Ronald W. Hoppe. First position: CGGVeritas, Houston.
Thesis: Snapshot Location in Proper Orthogonal Decomposition for Linear and Semi-Linear Parabolic Partial Differential Equations - Liu, Puchen - Advisor: Giles Auchmuty.
Thesis: Solutions Of Equations For The Regulation Of Kinase Activity In A Finite Cylindrical Cell - Mohapatra, Anushaya - Advisor: William Ott.
Thesis: Rank One Dynamics Near Heteroclinic Cycles and Conditional Memory Loss for Nonequilibrium Dynamical Systems - Qin, Yue - Advisor: Jiwen He, Robert Azencott.
Thesis: Second Order Variational Approach For Diffeomorphic Matching of 3D Surfaces - Rivas, Mauricio - Advisor: Giles Auchmuty.
Thesis: Unconstrained Variational Principles and Morse Indices For Linear Elliptic Eigenproblems - Royce, Maureen - Advisor: David Blecher.
Thesis: Extensions of Approximately Unital Operator Algebras - Sharma, Vandana - Advisor: Jeff Morgan
Thesis: Global Existence of Solutions to Coupled Reaction-Diffusion Systems with Mass Transport Type Boundary Conditions. - Shi, Lingling - Advisor: Tsorng-Whay Pan. First position: Post-doc, University of Houston
Thesis: Numerical simulation of cell motion in microchannels - Trousdale, James - Advisor: Kresimir Josic. First position: CGGVeritas, Houston.
Thesis: The Interplay of Architecture and Correlated Variability in Neuronal Networks - Yu, Yao - Advisor: Tsorng-Whay Pan. First position: CGGVeritas, Houston.
Thesis: Numerical Simulation and Modeling of Cell motion in Microchannels
2012
- Bukac, Martina - Advisor: Sun돑ica 뎱ani덑. Current position: Assistant Professor, Department of Applied and Computational Mathematics at University of Notre Dame.
Thesis: A Fluid-Structure Interaction Model Capturing Longitudinal Displacement in Arteries: Modeling, Computational Method, and Comparison with Experimental Data - Han, Qi - Advisor: Giles Auchmuty. First position: Post-doc, Worcester Polytechnic Institute (WPI)
Thesis: Exterior Regularized Harmonic and Harmonic Functions - Jain, Ankita - Advisor: Ilya Timofeyev. Current position: Assistant Professors in the Department of Applied and Computational Mathematics at University of Notre Dame.
Thesis: Data-driven Techniques for Estimation and Stochastic Reduction of Multi-scale Systems - Liao, Qingqing - Advisor: D. Kouri. First position: Numerical Algorithms Group (NAG).
Thesis: Wavelet Approaches to Seismic Data Analysis - Negi, Pooran - Advisor: Demetrio Labate. First position: Post-doc, University of Houston.
Thesis: Directional Multiscale Analysis using Shearlet Theory and Applications - Sen, Anando - Advisor: Robert Azencott and Demetrio Labate. First position: Post-doc, Department of Biomedical Engineering, University of Houston.
Thesis: Searchlight CT - A New Regularized Reconstruction Method for Highly Collimated X-ray Tomography - Singh, Pankaj - Advisor: Bernhard Bodmann. First position: Post-doc, University of Houston.
Thesis: Frames as codes for structured erasures. - Tumel, Filiz - Advisor: Andrew Torok. First position: North American Univeristy.
Thesis: Random walks on a lattice with deterministic local dynamic. - Zeleke, Kidist - Advisor: Ronald Hoppe. First position: Post-doc, University of Houston.
Thesis: Numerical Simulations of Surface Acoustic Wave-actuated Cell Sorting and Enantiomer Separation - Zhan, Cheng - Advisor: Andrew Torok and Danijela Damjanovic. First position: Seismic Imager at CGGVeritas.
Thesis: Smooth Infinitesimal Rigidity for Higher Rank Partially Hyperbolic Action on Step-2 Nilmanifolds
2011
- Agarwal, Nikita - Advisor: Michael Field. First position: Assistant Professor, IISER Bhopal (Indian Institute of Science Education and Research)
Thesis: Coupled Cell Networks - Interplay Between Architecture & Dynamics - Almus, Melahat - Advisor: David Blecher. First position: Lecturer, University of Houston.
Thesis: Structure in Operator Algebras - Elwood, Helen - Advisor: Bernhard G. Bodmann
Thesis: Constructing complex equiangular parseval frames - Jajoo, Aarti - Advisor: Ronald Hoppe, Robert Azencott. First position: Post-doc, University of Houston.
Thesis: Diffeomorphic Matching and Dynamic Deformable Shapes. - Kavruk, Ali - Advisor: Vern Paulsen. First position: Post-doc, University of Houston.
Thesis: Tensor products of operator systems and applications - Kikinzon , Evgeny - Advisor: Yuri Kuznetsov. First position: Post-doc, University of Houston.
Thesis: Non-conforming Mixed Finite Element Methods for Diffusion Equation - Kumar, Ajit - Advisor: Kresimir Josic. First position: Assistant Professor, Mathematical Sciences Foundation,
the math department of Shiv Nadar University, New Delhi, India.
Thesis: Reduced Models Of Networks Of Coupled Enzymatic Reactions and Linearization of Michaelis-Menten Differential Equations - Li, Daquian - Advisor: Ronald W. Hoppe
Thesis: Hedging with european double barrier basket options as a control constrained optimal control problem - Prokopenko, Andrey - Advisor: Yuri Kuznetsov. First position: ExxonMobil contract.
Thesis: Multilevel Preconditioners and Their Applications in Geoscience - Rosenbaum, Robert - Advisor: Kresimir Josic. Current position: Assistant Professor, Department of Applied and Computational Mathematics at University of Notre Dame.
Thesis: The transfer and propagation of correlated neuronal activity - Sehgal, Vasudha - Advisor: Robert Azencott
Thesis: Estimation of mutation rates and selective advantages in cell population dynamics - Sharma, Natasha - Advisor: Ronald W.Hoppe. First position: Post-doc, University of Houston.
Thesis: Convergence analysis of an adaptive interiror penalty discontinuous Galerkin Method for the Helmholtz Equation - Sogome, Suraizou - Advisor: Min Ru. First position: HHC, Northwest College.
Thesis: Non-Intergrated Defect Relation for Meromorphic Maps of Complete Kahler Manifolds Encountering Divisors
2010
- Beri, Arjun - Advisor: Ilya Timofeyev, Robert Azencott. First position: Post-doc at the University of Houston.
Thesis: Estimation of Stochastic Models Under Indirect Observability - Gupta, Chinmaya - Advisor: M. Nicol. First position: Assistant Professor (NTT) of Mathematics at University of Southern California
Thesis: Statistical Properties of Chaotic Dynamical Systems: Extreme Value Theory and Borel-Cantelli Lemmas. - Gadhyan, Yutheeka - Advisor: Robert Azencott, Roland Glowinski. First position: Post-doc at the University of Houston.
Thesis: Option Pricing Accuracy for Estimated Stochastic Volatility Models - Lata, Sneh - Advisor: Vern Paulsen. First position: Assistant Professor, Mathematical Sciences Foundation,
the math department of Shiv Nadar University, New Delhi, India.
Thesis: The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces. - Li, Yipeng - Advisor: Robert Azencott
Thesis: Deformation tracking and diffeomorphic matching in medical imaging. - Luo, Zijun - Advisor: Robert Azencott. First position: Post-doc at MD Anderson Cancer Center.
Thesis: Modeling genes interaction: fitting chemical kinetics ordinary differential equations to microarray data - Mittal, Meghna - Advisor: Vern Paulsen. First position: Visiting Assistant Professor at Carnegie Mellon
Thesis: Function theory on the quantum annulus and other domains - Singh, Preeti - Advisor: Vern Paulsen. First position: Visiting Associate Professor, Lone Star College, CyFair.
Thesis: Application of Finite Groups to Parseval Frames - Wang, Muhu - Advisor: Edward Kao. First position: Senior Quantitative Rsearcher at Duke Energy, Cinninati, Ohio.
Thesis: A Finite-element Approach for Pricing Swing Options Under Stochastic Volatility.
2009
- Antil, Harbir - Advisor: Ronald Hoppe. First position: Post-doc at Rice University.
Thesis: Optimization and Model Reduction of Time Dependent PDE-constrained Optimization Problems: Applications to Surface Acoustic Wave Drien Microfluidic Biochips - Barlas, Mirza Nofil - Advisor: Ilya Timofeyev. First position: Tenure-Track Assistant Professor at Keystone College.
Thesis: Predictability and information loss in complex systems - Jain, Saurabh - PhD, Advisor: Manos Papadakis. First position: Post-doc at the University of Houston.
Thesis: Isotropic Multiresolution analysis and Rotational Invariance in Image Analysis. - Kim, Taebeom - Advisor: Sun돑ica 뎱ani덑.
Thesis: Mathematical Issues in Blood Flow Problems. - Li, Huifang - Advisor: Ronald Hoppe.
Thesis: Adaptive Finite Element Approximation of The Black-Scholes Equation Based on Residual-Type a Posteriori Error Estimators. - Nimsaila, Kawin - Advisor: Ilya Timofeyev.
Thesis: Markov chain and time-delay reduced modeling of nonlinear systems. - Sharma, Sonia - Advisor: David Blecher. First position: Lecturer, University of Houston.
Thesis: One-Sided M-Structure of Operator Spaces and Operator Algebras. - Yavich, Nikolay - Advisor: Yuri Kuznetsov. First position: EMMET, Senior Research Scientist.
Thesis: Multilevel preconditioners for strongly anisotropic problems. - Xhabli, Blerina - Advisor: Vern Paulsen. First position: Lecturer, University of Houston.
Thesis: Universal operator system structures on ordered spaces and their applications.
2008
- Branton, Sheena - Advisor: Matthew Nicol. First position: Lecturer, University of Houston.
- Dulock, Matthew - Advisor: Min Ru. First position: Post-doc, Fields Institute.
- Filipski, Natasha -Advisor: Martin Golubitsky.
- Kashyap, Upasana - Advisor: David Blecher. position: Assistant professor at The Citadel-The Military College of South Carolina.
- Linsenmann, Christopher - Advisor: Ronald W. Hoppe. First position: Post-doc, Institute of Mathematics, University of Augsburg, Germany.
Thesis: Adaptive Multilevel-Based Shape Optimization for Stationary Stokes Flow by Path-Following Primal-Dual Interior Point Methods - Kouam, Cedric - Advisor: Edward Kao. First position: Horizon Wind Energy, Houston.
Thesis: Pricing Spread Options Under Stochastic Volatility. - Larson, Craig - Advisors: Klaus Kaiser & Ermelinda Delavina. Current position: Associate Professor, Virginia Commonwealth University.
Thesis: Graph Theoretic Independence and Critical Independent Sets - Pons, Victoria - Advisor: Alexandre Caboussat and Roland Glowinski.
- Raghupathi, Mrinal - Advisor: Vern I. Paulsen. First position: Assistant Professor (NTT), Vanderbilt University.
Thesis: Constrained Nevanlinna-Pick Interpolation - Wang, Tong - Advisor: Tsorng-Whay Pan and Roland Glowinski, First position: Post-doc, Texas A&M University.
- Xie, Weiwei - Advisor: Edward Kao. First position: Visiting Professor, University of Houston.
2007
- Barbara Gucciardi - Advisor: Martin Golubitsky. First position: Instructor, St. Thomas University
- Gvozdev, V - Adviosr: Yuri Kutnezsov. First position: Microsoft
- Ha Nguyen - Advisor: Andrew Török.
- Hao, Jian - Advisor: Tsorng-Whay Pan and Roland Glowinski. First position: Post-doc, University of Houston.
- Liu, Y - Advisor: Min Ru. First position: dGB-USA Earth Science.
- Patel, Swabhimita - Advisor: Jeff Morgan. First position: Saracen Energy.
2006
- Abdulbaki, Soha - Advisor: Vern I. Paulsen . First position: Instructor, St. Thomas University.
- Hay, Damon - Advisor: David Blecher. First position: University of North Florida.
- Kalra, Deepti - Advisor: Vern I. Paulsen. First position: Wachovia bank.
- Flagg, Mary - Advisor: Jutta Hausen. First position: Lecturer, University of Houston.
- Foss, Frederick - Advisor: Roland Glowinski. First position: Terralliance Technologies, Inc.
- Pacull, François - Advisor: Marc Garbey. First position: CFD Developer, FLUOREM.
Thesis: A Numerical Study of The Immersed Boundary Method and Application To Blood Flow. - Svyatskiy, Daniil - Advisor: Yuri Kutnezsov. First position: Post-doc, Los Alamos Natiomal Lab.
- Wang, Yunjiao, - Advisor: Martin Golubitsky. First position: Post-doc, U. Manchester, UK.
- Xu, Dekang - Advisor: Shanyu Ji. First position: CGGVeritas, Houston.
Thesis: Proper Holomorphic Mappings Between Balls.
2005
- Almeida Leite, Maria Da - Advisor: Martin Golubitsky. First position: Post-doctoral Researcher, Purdue University.
- Lapin, Serguei - Advisor: Roland Glowinski. First position: Post-doctoral Researcher, University of Houston.
- Muhm, Philip - Advisor: Klaus Kaiser. IT development manager, Boeing Company
- Myers, Richard - Advisor: Jiwen He. First position: St. Thomas University
- Nanda, Arati - Advisor: Roland Glowinski. First position: Instructor, University of Houston.
2004
- Ryan Pepper - Advisor: Siemion Fajtlowicz. First position: Post-doctoral research, Texas A & M University at Galveston.
- Philip Jacobs - Advisor: Mike Field. First position: San Antonio College.
- Oleg Boiarkine - Advisor: Yuri Kuznetsov. First position: Post-doctoral Researcher, University of Houston.
- Andrey Martynenko - Advisor: Yuri Kuznetsov and William Fitzgibbon. The first position: Post-doctoral Researcher, University of Houston.
2003
- Ahmed-Zaid, Ben - Advisor: Roland Glowinski. First position: Lecturer, University of Houston.
- Bokil, Vrushali - Advisor: Roland Glowinski. First position: Post-doctoral Researcher, North Carolina State University.
Thesis: Computational Methods for Wave Propagation Problems on Unbounded Domains. - Dyadechko, Vadim - Advisor: Yuri Kuznetsov. First position: Post-doctoral research, LANL (Los Alamos National Laboratory).
Thesis: Geometrically Adapted Meshes and Iterative Solvers for Elliptic Problems. - Holmes, Roderick - Advisor: Vern I. Paulsen. First position: Visiting Professor, Texas Southern University.
- Kaneda, Masayoshi - Advisor: Vern I. Paulsen. First position: Post-doctoral research, University of California-Irvine.
Thesis: Multipliers and Algebrizations of Operator Spaces. - Yi, Eunjeong - Advisors: Min Ru and Shanyu Ji. First position: Texas A & M University at Galveston.
Thesis: Nevanlinanna Theory and Iteration of Rational Maps.
2002
- Alford, John G. - Advisor: Giles Auchmuty. First position: Tulane University.
Thesis: Computation of Bifurcating Rotating Waves for the Fitz-Hugh Nagumo Equations on Circular Domains of One and Two Dimensions. - Foster, Sylvia Martina - Advisor: Johnny Johnson. First position: Visiting Professor, University of Houston.
Thesis: The Asymptotic and Integral Closures of Elements in a Multiplicative Lattice. - Ladipo, Kehinde Omobola - Advisor: Roland Glowinski.
Thesis: A Wave Equation Approach to Numerical Simulations of Natural Convention in Rectangular Enclosures. - Lipnikov, Konstantin - Advisor: Yuri Kuznetsov. The first job: Post-doctoral research, LANL (Los Alamos National Laboratory).
Thesis: Numerical Methods for the Biot Model in Poroelsaticty.
2000
- Berry, Robert - Advisor: William Fitzgibbon.
Thesis: Spatio-temporially Dependent Models for the Spread of Infectious Disease. - Datta, Sanjay - Advisor: Roland Glowinski.
Thesis: Some Results On the Effect of the Trapezoidal Rule in Finite Element Computation. - Solazzo, James - Advisor: Vern Pauslen. First position: Post-doctoral Researcher, University of Georgia.
Thesis: Interpolartion and Computability. - Tecarro, Edwin - Advisor: Giles Auchmuty. First position: Associate Professor, the University of Houston (Downtown).
Thesis: Qualitative Analysis of a Model of the Mammalian Cell Cycle's G1 Phase.
1999
- Qawasmi, Ahmad - Advisor: Giles Auchmuty. Last known position: UAE University, Dubai.
Thesis: Regularity for the Hodge-Weyl Decomposition.
1998
- Buono, Pietro-Luciano - Advisor: Martin Golubitsky. First position: University of Montreal.
Thesis: A Model of Central Pattern Generators for Quadruped Locomotion. - Walker, Julie Satitpunwaycha - Advisor: Dennison Brown.
Thesis: Thread Generated Idemponent Topological Semigroups on N-cells. - Wu, Suming - Advisor: Ridgway Scott.
Thesis: Steady-state Simulation and Fuel Cost Minimization of Gas Pipeline Networks.
1997
- Abraham, Ross Peder - Advisor: Jutta Hausen.
Thesis: Automorphism Groups of Abelian P-groups. - Khoury, Rajia Nicolas - Advisor: Vern I. Paulsen. First position: University of Houston-Downtown
Thesis:Closest Matrices In the Space of Doubly Stochastic Matrices. - De La Vina, Ermelinda - Advisor: Siemion Fajtlowicz. First position: University of Houston-Downtown.
Thesis: Ramseyan Properties and Conjectures of Graffiti. - Zhang , Zhuangzhi - Advisor: Barbara Keyfitz. First position: LicEnergy, Houston.
Thesis: The Existence and Decay of Solutions of A Class of Non-strictly Hyperbolic Systems of Conservation Laws - Zhai , Canfang - Advisor: Giles Auchmuty. First position: Elliptus Technologies Inc., Richmond, Virginia.
Thesis: Computation of Rotating Wave Solutions of Reaction Diffusion Systems.
1996
- Benningfield, Kirk - Advisor: Dennison Brown. Thesis: Uniquely Divisible Topological Semigroups.
- Ferguson, Sarah H. - Advisor: Vern Paulsen. First position: Wayne State University.
Thesis: Ext, Analytic Kernels And Operator Ranges. - Grillis, David B. - Advisor: Martin Golubitsky. First position: Naval Research Labs.
Thesis: Coupled Cell Systems And Symmetry. - Juarez-Valencia, Lorenzo H. - Advisor: Ridgway Scott. First position: Departamento de Matematicas, UAM-I, Mexico D.F.
Thesis: Numerical Simulation Of Time-Dependent Viscous Flows In Complex Geometries. - Ruan, Guohua - Advisor: Roland Glowinski. First position: Maurer Engineering, Inc.
Thesis: Numerical Solutions Of A Type Of Slightly Compressible Flow. - Sanchez-Bernabe, Francisco - Advisor: Roland Glowinski. First position: Departamento de Matematicas, UAM-I, Mexico D.F.
Thesis: On Some Splitting Methods For The Numerical Solution Of The Navier Stokes Equation. - Zafiris, Vasilis G. - Advisor: Roland Glowinski. First position: University of Houston-Downtown. 
;Thesis: Constructs On Manifolds Applied To Grid Generation.
1995
- Carthel, Crag A. - Advisor: Roland Glowinski.
Thesis: Numerical Methods For Some Exact And Approximate Controllability Problems For The Heat Equation. - Hou, Chuan-Ze - Advisor: Martin Golubitsky.
Thesis: Symmetry Breaking And Heteroclinic Cycles. - Singer, Jurgen K. - Advisor: Roland Glowinski. First position: Post-doc at UT-Austin.
Thesis: The Parallel Fast Multipole Method In Molecular Dynamics. - Xie, Dexuan - Advisor: Ridgway Scott. Last known position: University of Wisconsin-Milwaukee.
Thesis: New Parallel Iteration Methods, New Nonlinear Multigrid Analysis, And Application In Computational Chemistry. - Zhang, Chun - Advisor: Vern I. Paulsen.
Thesis: Representation And Geometry Of Operator Spaces.
1994
- Burghduff, John Brian 覱 Advisor: Richard Sinkhorn.
Thesis: Permanents of doubly stochastic matrices with zero main diagonal
- Luo, Yongping 覱 Advisor: Andrew Lelek.
Thesis: Suslinian And Weakly Suslinian Continua
- Wang, Zhongde 覱 Advisor: Richard Sanders.
Thesis: High Order TVD Schemes For The Approximation Of Hyperbolic Systems Of Conservation Laws.
1993
- Roesmer, Christopher Josef - Advisor: Klaus Kaiser.
Thesis: An Application Of Nonstandard Analysis To Dempster-Shafer Theory.
1992
- Chu, Che-Chen - Advisor: V. Paulsen. First position: Nat'l Taiwan Police Academy.
Thesis: Finite Dimensional Representations Of Function Algebra.
- Jia, Wenyao 覱 Advisor: Giles Auchmuty.
Thesis: Iterative Methods For The Hartree And Hartree-Fock Eighnproblems.
- Nasser, Mahmoud G. 覱 Advisor: Roland Glowinski.
Thesis: Numerical Methods For Multibody Elastic Systems And Contact Problems.
- Vinod, Vaidyanath - Advisor: Barbara Keyfitz. First position: Instructor, University of New Orlean.
Thesis: Structural Stability Of Riemann Solutions For A Multiphase Jinematic Conservation Law Model That Changes Type.
1991
- Cardan, David - Advisor: Richard Sinkhorn.
Thesis: Concerning Hypernormal Approximation Of Doubly Stochastic Matrices.
- Tiballi, Terry Richard 覱 Advisor: Vern I. Paulsen.
Thesis: Symmetric Orthogonalization Of Vectors In Hilbert Space. First position: SUNY College at Oswego.
1990
- Chen , Shui-Tian - Advisor: Siemion Fajtlowicz.
Thesis: On Selected Conjectures Of Graffiti.
- Dionne, Benoit - Advisor: Martin Golubitsky. First position: University of Montreal.
Thesis: Spatially Peridic Patterns In Two And Three Dimensions.
1989
- Cook, Michael William - Advisor: W.T. Ingram.
Thesis: Periodic Points For Mappings Of The Circle And Other Locally Connected Continua.
- Insall, Jr, Eugene M. - Advisor: Klaus Kaiser. Current position: Associate Professor at University of Missouri, Rolla.
Thesis: Nonstandard Methods And Finiteness Conditions In Algebra.
- Waller, William Alfred, - Advisor: Siemion Fajtlowicz. First position: University of Houston-Downtown.
Thesis: Average Distance In Graphs With Prescribed Order And Independence Number.
1988
- Krupa, Martin - Advisor: Martin Golubitsky. First position: New Mexico State University.
Thesis: Bifurcations of Critical Group Orbits.
- Lan, Shaw-Ping - Advisors: Henry Decell/Sinkhorn. 
;Thesis:The Semigroup Of Real Stochastic Matrices And Generalized Inversion.
- de Loura, Luís Camilo do Canto - Advisor: Roland Glowinski.
Thesis: Numerical Iterative Methods For The Hertree Equation Of Helium-Like System.
- Nicolas-Carrizosa, Alfredo - Advisor: Roland Glowinski.
Thesis: Numerical Aspects Of Some Time Dependent Partial Diffrential Equations Problems.
- Taylor, Monty B. - Advisor: Johnny Johnson.
Thesis: Filtration Transforms Of Integral, Commutative CL-Monoids Lattice Modules.
- Waggoner, Shelia Seng - Advisor: William Fitzgibbn.
Thesis: Global Existences For Solutions Of Semilinear And Quasilinear Parabolic Systems Of Partial Differential Equations.
1987
- Gehrke, Mai - Advisor: Klaus Kaiser. Current position: Professor at New Mexico State University.
Thesis: The Order Structure of Stone Spaces and the T_D-Axiom.
- Torres, Raul Ernesto Gonzalez - Advisor: Dennison Brown.
Thesis: A Geometric Study of Certain Stochastic Semigroups.
- Wray, David Otway - Advisor: Klaus Kaiser.
Thesis: First Order Quotational Logic.
1986
- Benton, Chrsitopher Paul - Advisor: Jutta Hausen.
Thesis: K-projectivity in Nonabelian Groups.
- Gonglewski, John Damien - Advisor: Homer Walker.
Thesis: On Quasi-Newton Methods for Maximum Likelihood Estimates With Applications to the mixture density problem.
- Morgan, Jeff - Advisor: Giles Auchmuty. Current position: Associate Provost for Education Innovation and Technology, University of Houston.
Thesis: Global existence, Boundedness, and Decay for Solution of Semilinear Parabolic System of Partial Differential equation.
- West, Thelma R. - Advisor: Andrew Lelek.
Thesis: The Span Structure of some Groups and Continua.
1985
- Bruni, Anthony J. - Advisor: Henry Decell.
Thesis: Nonnegative, Nontrivial, Fixed Points of Orthogonal Projections.
- Muoneke, N'Ekwunife - Advisor: Richard Sinkhorn.
Thesis:On the Stochastic and Doubly Stochastic Powers of Nonnegative Square Reducible Matrices.
- Zeng, Xianwu - Advisor: Giles Auchmuty. First position: Wuhan University, PR China.
Thesis: A Qualitative Investigation of Coupled Systems of Nonlinear Cscillators.
1984
- Sparra, James L. - Advisor: Homer Walker.
Thesis: Stochastic approximation of fixed points.
1983
- Nll, Van Clyne - Advisor: W.T. Ingram.
Thesis: Weak Confluence and W-sets
- Phuong, Vu Anh, - Advisor: Homer F. Walker.
Thesis: Inaccuracy in Least Change Secant Update Methods
- Roberson, Pamela D. - Advisor: W.T. Ingram.
Thesis: An Uncountable Collection of Case-Chamberlin Type Continua with No Model.
- Suen, Ching-yun - Advisor: Vern I. Paulsen. First position: University of Texas A&M-Galveston.
Thesis: The Representation Theory of Completely Bounded Maps on C^*-algebra.
1982
- Becerra, Linda - Advisor: Johnny Johnson. First position: University of Houston - Downtown.
Thesis: Multiplicative Lattices and the Integral Closure Operation.
- Jones, Kathryn - Advisor: Siemion Fajtlowicz.
Thesis: Independence in Graphs with Maximum Degree Four.
- Nguyen, Tung M. - Advisor: Henry Decell.
Thesis: Applications of Generalized Inverse to Circulant Matrices, Intersection Projections, and Linear Programming.
1981
- Collins, Dwayne - Advisor: W. Ingram.
Thesis: Monotone Upper Semi-continuous Decompositions of IUC Continua
- Davis, James Francis - Advisor: W. Ingram.
Thesis: Zero Span Continua
- Janeway, Billy Don - Advisor: Matthew O'Malley.
Thesis: Zero Divisors in Commutative Semigroup Rings.
- Marsh, Dorothy - Advisor: W. Ingram.
Thesis: Concerning the Cone Hyperspace Property.
- Marsh, Marcus - Advisor: H. Cook.
Thesis: Fixed Point Theorems for Certain Tree-like Continua.
1980
- Baica, Malvina F. -
Thesis: A New Algorithm Over the Complex Number Field (AFC) and Its Applications to Units and Combinational Identities.
- Moebes, Travis A. - Advisor: Ingram.
Thesis: An Atriodic Tree-like Continuum That is Not Weakly Chainable.
- Morton, George R. - Advisor: D.G. Bourgin.
Thesis: Homotopy-invariant Group Constructions and Preimages of Essential Maps.
- Nehs, Robert M. - Advisor: D. Bourgin. First position: Texas Southern University.
Thesis: Generalized Reduced Omology and Duality.
- Rankin, John S. - Advisor: Johnny Johnson.
Thesis: Transforms and Completions of Multiplicative Lattices.
1979
- Basa, Rekha - Advisor: Henry Decell.
Thesis: Effect of Model Specification in Pattern Classification.
- Kaufman, William Fugene - Advisor: John Nerney.
Thesis: Semiclosed Operators in Hilbert Space.
- Malek-Shahmiraadi Massoud - Advisor: Henry Decell.
Thesis: Application of Neumann's Lemma to the Minimum and Characteristic Polynomials.
- Oshima , Kunio - Advisor: Henry Decell.
Thesis: Inclusion Theorem by Means of Iteration Procedure.
- Perez , Dorothy C. - Advisor: Johnny Johnson.
Thesis: Closure Operations on Multiplicative Lattices.