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