Recent Ph.D.s

Year	Student	Advisor	Thesis
2021	Thy Dao	Zhang	Statistical modeling for High-dimensional Compositional data with Applications to the Human Microbiome
2021	Michael Duffy	Barton	Gradient Estimates and the Fundamental Solution for Higher-Order Elliptic Systems with Lower-Order Terms
2021	Caleb Parks	Luecking	Interpolation and Sampling in Analytic Tent Spaces
2020	Rachel Lehman	Rieck	A structure theorem for bad 3-orbifolds
2020	Jean Pierre Mutanguha	Clay	Hyperbolic endomorphisms of free groups
2020	Jesse Keyton	Mantero	Families of homogeneous licci ideals
2019	Felita Humes	Harrington	Smoothness of defining functions and the Diederich-Fornœss index
2019	Vinay Kalyankar	Dingman	The van Hiele Analysis of Curricular Materials: A Comparative Study
2019	Razieh Shahriari	Madison	The Effect of Using Technology on Students' Understanding in Calculus and College Algebra
2018	Ghadeer Mahdi	Arnold & Chakraborty	Hierarchical Bayesian regression with application in spatial modeling and outlier detection
2018	Kevser Erdem	Tjani	Close range composition operators on BMOA
2018	William D. Taylor	Johnson	Interpolating between multiplicities and F-thresholds
2018	Babak Jabbar Nezhad	Johnson	Equations of multi-Rees algebras
2018	Muhenned Abdulsahib	Harrington	Hartogs domains and the Diederich-Fornæss Index
2018	David Deville	Madison	Identifying opportunities that promote a habit of mind in the quantitative reasoning classroom
2017	Michael Harris	Rieck	3-manifold perspective on surface homeomorphisms for surfaces with very negative Euler characteristic
2017	Wanqing Cheng	Ryan	Π-operators in Clifford analysis and its applications
2017	Daniel Juda	Miller	On rings of invariants for cyclic p-groups
2016	Arnab Dutta	Akeroyd	On Compactness and Closed-rangeness of Composition Operators
2016	Chao Ding	Ryan	Construction of Conformally Invariant Operators in Higher Spin Spaces
2016	Emily Thomas	Van Horn-Morris	The Maximal Thurston-Bennequin Number nn Grid Number n Diagrams
2016	Ryan Thomas	Dingman	The Effects of Dynamic Graphic Utilities on Student Attitudes and Conceptual Understanding in College Algebra
2015	Ming-Hua Chung	Petris	Probabilistic Graphical Modeling on Big Data
2015	Chizuko Iwaki	Harrington	Good Stein Neighborhoods for Nonsmooth Pseudoconvex Domains
2015	Melissa Shabazz	Tjani	Isometries of Besov Type Spaces among Composition Operators
2014	Richard Wanjohi	Petris	On Line Detection of Outliers and Structural Breaks using Particle Filtering
2014	Michael Tinker	Raich	A Szego Kernel of Polynomial Models in C3 Heat Kernels of Schrodinger Operators with A Potentials
2014	Shanda Fulmer	Akeroyd	Closed Range Composition Operators on Weighted Bergman Spaces and Applications
2014	Newton Foster	Luecking	General Sampling Schemes for the Bergman Spaces
2013	Carrie Whittle	Rieck	The Word Problem for the Automorphism Groups of Right-Angles Artin Groups is in P
2013	Jeanine Myers	Lanzani and Raich	The Effect of Symmetry on the Reimann Map
2013	Michael Mallory	Arnold	High Rank Homotopy Methods for the Algebraic Eigenvalue Problem (posthumous award)
2013	Belen Espinoza Lucio	Lanzani	Hardy Spaces Properties of the Cauchy-Leray Kernel for a Complex Domain
2012	Nathan Bloomfield	Shein	On the Representation of Inverse Semigroups by Difunctional Relations
2012	Heather Griffin	Caponga	Pointwise Schauder Estimates of Parabolic Equations in Carnot Groups
2011	Pablo Rosell	Goodman-Strauss	Limiting Behavior of Nondeterministic Fillings of the Torus by Colored Squares
2011	Brett Pansano	Ryan	Aspects of Local and Global Analysis in Clifford Analysis on the Unit Sphere
2011	Brandon Hutchison	Arnold	A Restarted Homotopy Method for the Nonsymmetric Eigenvalue Problem
2011	Phuc Nguyen	Luecking	Interpolation and Sampling Sequences for Mixed-Norm Spaces
2011	Junxia Li	Ryan	Some Rarita-Schwinger Operators
2011	Jessica Stovall	Feldman	Nonlinear Functionals on Banach Lattices and their Support Sets
2010	Garrett Rea	Capogna	A Harnack Inequality and Holder Continuity of Weak Solutions To Parabolic Equations Involving Hormander Vector Fields
2010	Jennifer W. Paulk	Lanzani	Holomorphic Hardy space representations for convex domains in several complex variables
2009	Changxiang Rui	deOliveria	Optimal predictive inference in log-Gaussian random fields
2009	Jonathan McCrary	Rieck	Minimal surfaces in the cyclic covers of hyperbolic manifolds
2008	Boyko Gyurov	Schein	Maximal inverse semigroups of transformations
2008	Erin Haller	Capogna	Comparison Principles for Fully-Nonlinear Parabolic Equations and Regularity Theory for Weak Solutions of Parabolic Systems in Carnot Groups
2008	Phillip Taylor	Akeroyd	Analytic bounded point evaluations and polynomial approximation in the mean of crescents
2006	Zdenka Kali	Khavinson	Two extremal Problems in Complex Function Theory
2006	Camille Lewis-Satchell	Arnold	Homotopy techniques and polynomial roots
2005	Kristin Karber	Akeroyd	Star-Shift Invariant Subspaces of H^2(D)
2005	Emily Shores	Capogna	Regularity Theory for Weak Solutions of Systems in Carnot Groups
2004	Michael Reed	Johnson	Symbolic Blow-ups and Generation in Degree Four
2004	Pramod Singh	Feldman	Decomposibility of Non-Linear Operators on Banach Lattices
2004	Kimberly Hughes DeJarnatt	Dunn	Variations on Generalized Logit models: Alternative Links and Stepwise Selection
2004	Hsing-Yen Wu	Schein	Tight Congruences on Semigroups
2002	Jennifer McLoud-Mann	Johnson	On a Certain Family of Determinantal-Like Ideals
2001	Casey Mann	Goodman-Strauss	On Heesch's Problem and Other Tiling Problems
2000	Hong Liu	Ryan	The Clifford Analysis Techniques for Spherical PDE
2000	Dejenie Lakew	Ryan	Elliptic Boundary Value Problems, Cln-Complete Function Systems and the Clifford π-Operator
2000	Dawit Aberra	Khavinson	The Reflection Principle, the Schwarz Potential and Quadrature