## PhD dissertations defended in the Department since 1972

(The name in parentheses is the thesis advisor.)

Grossman, Jonathan; (Goldfarb)

2019

Coarse Geometric Coherence

Corradino, Jesse; (Milas)

2018

On the Geometric Interpretation of Certain Vertex Algebras and Their Modules

Bennett, Bryan; (Goldfarb, Varisco)

2018

Bounded Algebra in Symmetric Monoidal Categories

Lin, Ziqiang; (Reinhold)

2018

Non-stationary Counts with Mixture Distributions

Sidoli, Scott; (Milas)

2018

The N=1 Singlet Vertex Superalgebra

Stefanou, Anastasios; (Munch, Curry)

2018

Dynamics on Categories and Applications

Briggs, Carly; (Lenart)

2017

On Combinatorial Models for Kirillov-Reshetikhin Crystals of Type B

Cahill, Patrick; (Goldfarb, Varisco)

2017

Bounded Algebra Over Coarse Spaces

Beckhardt, Susan; (Goldfarb)

2017

Extension Properties of Asymptotic Property C and Finite Decomposition Complexity

Allahverdi, Muberra; (Tchernev)

2017

Torsion Freeness of Symmetric Powers, Exterior Powers, and Schur Functors

Ferro, Richard; (Micchelli, Virtanen)

2017

Structured Pseudospectra of Block Matrix Structures

Parnett, Ian; (Srivastav)

2016

Swan classes and realisable classes for integral group rings over finite cyclic groups

Ramer, Kevin; (Lenart)

2016

On Combinatorial Formulas for Non-Symmetric Macdonald Polynomials

Choi, JaeYong; (Reinhold)

2016

Convergence of a smooth random average and its variation inequality

Wood, Daniel; (Tchernev, Varisco)

2016

On monomial resolutions supported on posets

Hepworth, Emily; (Varisco)

2015

Generators for K1 of a category with cofibrations

Guzman, Maxine; (Srivastav)

2015

Swan Modules of Elementary Abelian 2-Groups over Quadratic Imaginary Fields

Wu, Yue; (Yang)

2015

Lorentz Group of Submodules in H2(D2)

Yang, Yixin; (Yang)

2015

On numerical invariants of submodules in H2(D2)

Stevenson, Daniel; (Zhu)

2015

Interpolation and sampling on the Fock space

Coleman, Michael; (Srivastav)

2014

The Kernel Group of Elementary 2-Groups Over Quadratic Imaginary Extensions

Qin, Yueshi; (Yang)

2014

On Rudin's Pathological Submodules over Bidisk

Chagouel, Isaak; (Stessin)

2014

The geometry of the projective joint spectrum and the commutativity of self-adjoint operators

Lubovsky, Arthur; (Lenart)

2013

Alcove models for Hall-Littlewood polynomials and affine crystals

Macrina, Amy Potrzeba; (Zurbenko)

2013

The spectral analysis of longitudinal data with applications to atmospheric variables

Smitas, Daniel Christian; (Range)

2013

Lipschitz estimates on weakly pseudoconvex domains

Wolf, Lauren; (Zhu)

2013

On the Essential Spectra of Toeplitz Operators on Hardy spaces and the Riemann-Hilbert problem

Adamczak, William (Lenart)

2012

On Combinatorial Models for Representations of Classical Lie Algebras

Bianco, Scott (Hildebrand)

2012

Random Processes of the form X(n+1) = AnXn + Bn (mod p) in Two Dimensions

DeGraw, Arthur J., Jr (Stessin)

2012

Optimal recovery of holomorphic functions from inaccurate information about integration type operators

Kaufmann, Tai (Rodriguez)

2012

Entropic priors: Corrections, new observations and applications

Cade, Patrick (Yang)

2011

Projective spectrum and cyclic cohomology

Rowe, Niles William (O'Neil)

2011

Some conditions determining L(p,q) membership of trigonometric series: Methods and Applications

Atchison, Benjamin John (Turner)

2011

Shift automorphisms of finite outer order

Penn, Michael (Milas)

2011

Lattice Vertex Algebras and Combinatorial Bases

Neville, Richard (Hildebrand)

2011

On lower bounds of the Chung-Diaconis-Graham random process

Dow, Keiko (Wilken)

May 2010

Extreme and Non-Extreme Points of Compact And Convex Integral Family of Analytic Functions

Kronholm, Brandt (Milas)

May 2010

On Congruence Properties of p(n,m)

Tsakiri, Katerina (Zurbenko)

May 2010

Effect of Noise in Principal Component Analysis with An Application to Ozone Pollution

Savvopoulou, Anna (Reinhold)

May 2009

Wedrychowicz, Christopher (Reinhold)

May 2009

Jaiclin, Marcus (Lance)

August 2008

Number Theoretic Sequences and the Profinite Completion of Classifying Spaces

Clark, Timothy (Tchernev)

May 2008

Poset Resolutions of Monomial Ideals

Madsen, Alpheus (Tchernev)

December 2007

Symbolic Powers and Gorenstein Grade-3 Ideals

Orna, Miroslav (Goldfarb)

August 2007

The Integral A-Theoretic Novikov Conjecture for Groups With Finite Asymptotic Dimension

Brown, Patrick (Stessin)

May 2007

Identity Principles of Inner Functions

Beecher, Amanda (Tchernev)

May 2007

Combinatorial Description of a free resolution of a Multigraded Module

Lance, Timothy (Goldfarb)

August 2006

Continuous Control and Novikov Conjectures in Exact Non-Split Categories

McCollum, Joseph (Hildebrand)

May 2006

Random Walks on the Dihedral Group and Abelian Groups

Kures, Osman (Zhu)

December 2004

The Bergman Projection and Related Integral Operators on the Unit Ball in C^n

Kelley, Amy (Stessin)

May 2004

Blaschke Products, Inner Functions with Finite Spectrum and Operators Similar to a Contraction

Olsen, Darlene (Reinhold)

August 2003

The Spectrum of Z^d-Actions in Ergodic Theory

Featherstonhaugh, Stephen (Childs)

August 2003

Abelian Hopf Galois Structures on Galois Field Extensions of Prime Power Order

Yang, Weisheng (Zhu)

August 2002

The reproducing Kernel of an Invariant Subspace of the Bergman Space

Clark, Aaron (Goldstein)

May 2002

Solvability of equations over torsion free groups

Kazas, Angeliki (Stessin)

May 2002

Generalized factorization in Hardy spaces

Rocca, Charles (Turner)

May 2001

Finite and boundary test elements

Gill, Brian (MacGregor)

December 1999

Properties of the Hyperbolic Metric in Planar Domains

Neagu, Radu (Zurbenko)

December 1999

High-Resolution Time-Frequency Representaions

Beneteau, Catherine Ann (Korenblum)

May 1999

Radial Null Sets of Analytic Functionswith Growth Restrictions

Carswell, Brent (Stessin)

May 1999

Wandering property for Bergman submodules over singly generated algebras

Deno, Christa (Charalambous)

May 1999

Resolving Multilgraded Modules over Polynomial Rings

Solowiej, Jaroslaw (Range)

May 1999

Holder Estimates for the Solutions of the Cauchy-Riemann Equations on Convex Domains of the Finite Type

Johnson, Laurie (Turner)

December 1998

Hyperbolicity of One Relator Groups

Sutherland, Melissa Ann (Charalambous)

December 1998

Hypersurfaces and Almost Complete Intersections: Resolutions and Poincare Series of Cyclic Modules

Jewett, Rumara Gale (Plotnick)

August 1998

The Almost Convexity of a Certain Nilpotent Group

Racquet, John Carl (Korenblum)

August 1998

On the Coincidence of Uniqueness and Boundedness Conditions for Classes of Analytic Functions

Jaffrey, Marc (Stessin)

May 1998

Beurling Type Theorems for Submodules of the Hardy Space H^2

O'Neill, John (Turner)

May 1998

Test Elements in Finitely Generated Groups

Sowizral, Mycroft John (Plotnick)

May 1998

Growth Functions of DiscreteNon-cocompact Groups of Isometries of the Hyperbolic Plane

Smith, Harold Henry, III (Childs)

December 1997

Constructing Hopf Orders in elementary abelian group rings

Tse, Manyiu (Childs)

December 1997

Hopf Algebra Actions on Elementary Abelian Extensions of Degree p^2

Lambert, Peter (Wilken)

August 1997

Extreme Points and Support Points in Bloch Type Spaces

Replogle, Daniel R. (Srivastav)

August 1997

Swan Classes and Realisable Classes for Integral Group Rings Over Groups of Prime Order

Salpukas, Michael (Goldstein)

August 1997

Spherical Diagrams and the Solutions of Equations Over Groups

Sterner, Michael (MacGregor)

August 1997

Fractional Derivatives and Convolutions of Univalent Functions

Bourgault, Steven (Thomas)

May 1997

Problems in Dynamics: Free Homeomorphisms, Invariants and Difference Equations

Evans, Richard (Stratton)

May 1997

Bayesian Inference When the Pooling of Data is Uncertain

Mascuilli, Augustine (Korenblum)

August 1996

Discrete Phragmen-Lindelof Theorems

Schwartz, Kenneth (Plotnick)

August 1996

Groups Generated by Face-Pairing Maps on Polyhedra

Kohl, Timothy (Childs)

May 1996

Classification of Abelian Hopf Algebra Forms Acting On Radical Extensions

Panariello, James (Korenblum)

May 1996

Growth and Boundedness Conditions for the Stieltjes Moment Problem

Voce, Daniel (Turner)

December 1995

Test Words and the Stable Image of an Endomorphism

Holcomb, John (Stratton)

August 1995

Estimation and Characterization for Linear Regression Analysis in thePresence of Measurement Error

Luo, Donghan (MacGregor)

August 1995

Multipliers of Fractional Cauchy Transforms

McNally, Patrick (Hammond)

August 1995

Special Theta Relations

Grossman, Eric (Zhu)

May 1995

The Berezin Transform

Koch, Alan (Childs)

May 1995

Cyclic Dieudonne Modules, Witt Subgroups, and Their Lifts to Characteristic Zero

Cox, Paul Maureen (Childs)

August 1994

The Image of the Picard Invariant Map for Hopf Galois Extensions

Lacey, Laurie (Goldstein)

August 1994 Collision and a Theorem of Whitehead

Rice, John (Wilken)

August 1994

Continuous Linear Functionals on Compact and Convex Integral Families of Analytic Functions

Sheng, Jiaxing (Rodriguez)

August 1994

An Entropic Bayesian Algorithm for Reconstructing Incomplete Poisson Data

Clifford, Andrew (Goldstein)

May 1994

Low Genus Surfaces and Combinatorial Group Theory

Fleron, Julian (Range)

May 1994

Holder Estimates for the Solution of the Cauchy-Riemann Equations near Weakly Pseudoconvex Boundaries

Hotchkiss, Philip (Turner)

May 1994

Extending Techniques in Hyperbolic Group Theory to Certain Non-Positively Curved Groups

Moss, David (Childs)

May 1994

Kummer Theory of Formal Groups

Addepalli, Venu (Turner)

December 1993

Shift Automorphisms of Free Groups

Perera, Kanthi (Jamison)

August 1993

Parameter Estimation for a Sine Wave Whose Frequency Changes Linearly With Time

Cummings, Paul (Goldstein)

May 1993

A Bound on Van Kampen Graphs

Madigan, Kevin (Zhu)

May 1993

Composition Operators into Lipshitz Type Spaces

Dansereau, Andrew (Wilken)

December 1992

General Integral Families and Multipliers

Underwood, Robert (Childs)

December 1992

Hopf Algebra Orders over a Complete Discrete Valuation Ring, Their Duals, and Extensions of R-Groups

Al-Grouz, Ibrahim (Wilken)

May 1992

Functionals on Univalent Functions and Univalent Polynomial Approximation

Lawrence, Deborah (Thomas)

May 1992

Construction and Properties of Transitive Dynamical Systems

Adams, Terrence (Friedman)

August 1991

Uniform Sweeping Out

Burke, Kevin (Range)

August 1991

Duality of Bergman Spaces on Some Weakly Pseudocovex Domains

Bomash, Gregory (Korenblum)

May 1991

Random Analytic Functions, their Zero Sets and Singular Measures

Kim, Seok (Wilken)

May 1991

Properties of the Family of Analytic Functions with Subordination Class Determined by Rotations

Weinraub, David (Childs)

August 1990

Confinite Induction and Noether's Theorem for Hopf Orders in Group Algebras

Bonner, David (Plotnick)

December 1989

Circle Actions on Simply Connected Five Manifolds

Fontaine, Anne (Martin)

December 1989

Polyomino Franes and The Heesch Problem

Rajia, Abbess (Rodriguez)

December 1989

A New Class of Estimators of the Hazard Rate Fundtion

Hibschweiler, Rita (MacGregor)

May 1988

Closure Properties and Convolutions of Families of Analytic Functions

Tennant, Raymond (Turner)

May 1988

Relation Space Groups and Swap Equivalence of Presentations

Teymouri, Jamal (Goldstein)

May 1988

Geometric Methods in Group Theory

Jinn, Jann-Huei (Sedransk)

August 1987

Optimal Two Phase Stratified Sampling for Estimation of the Age Composition of a Fish Population

Rahman, Mohammad (Stratton)

August 1987

Computable Reformulations and Extensions of deFinetti's Fundamental Theorem of Probability

Banks, Steven (Stratton) May 1987

Omitted Covariates in the Cox Proportional Hazards Model

Kabbaj, Noureddine (Turner)

May 1986

Aspherical Group Presentations: Topological Properties, Cohomology Rings, Products and Amalgamations

Hamzah, Adnan (Sedransk)

December 1985

Statistical Analysis and Redesign of Crossover Studies With Premature Crossings

Qumsiyeh, Intisar (Wilken)

December 1985

Support Points and Quadratic Differentials for the Class S

Chen, Chong-Hong (Dickey)

August 1985

Extended Parameterized Families of Multivariate and Matrix Distributions

Lin, Jinn-Tyan (Sedransk)

August 1985

Classical and Bayesian Experimental Designs for Spline Models

Wang, Chia-hsiang (Sedransk)

August 1985

Bayesian Modeling for Cross Classified Data

Kabbaj, Saad (Jamison)

May 1985

Identification of a Sine Wave Perturbed by Weakly Stationary Noise

Hurley, Susan (Childs)

December 1984

Tame and Galois Hopf Objects with Normal Bases

Perera, Shelton (Wilken)

December 1984

Support Points and Extreme Points of Some Classes of Analytic Functions

Tesser, Steven (Childs)

December 1984

On Certain Representations of a Generalized Clifford Algebra

Ali, Mirza (Stratton)

August 1984

Test of Equality of Expected Values of Positive Definite Quadratic Forms in Normal Variables

Jiang, Jyh-Ming (Dickey)

August 1984

Distributional Properties of Linear Forms in a Dirichlet Vector and Applications

Cupillari, Antonella (Range)

May 1984

Inner Functions and Boundaries for H-infinity on Strictly Pseudoconvex domains

Dabrowski, Ramual (Haboush)

May 1984

Rationality of the Compact Forms of Semisimple Affine Groups

Ganesan, Subramanian (Jenkins)

May 1983

On Amenability of Semigroup of Probability Measures on Topological Groups

Li, Lung-An (Sedransk)

May 1983

Decomposition Theorems, Conditional Probability, and Finite Mixture Distributions

Chiu, Hui-Yuan (Sedransk)

May 1982

A New Bayesian Approach to Estimating Finite Population Parameters

Ryczaj, Jerzy (Range)

August 1981

C-k Estimates for the Cauchy-Riemann Equations on Certain Weakly Pseudoconvex Domains

Song, Chwan-Chin (Thomas/Dickey)

August 1981

Covariance Stabilizing Transformations

Samotij, Krzysztof (Korenblum)

December 1980

Some Properties of Harmonic Functions With Restrictions on Growth

DeSouza, Geraldo (O'Neil)

May 1980

Spaces Formed by Special Atoms

Pearce, Kent (Brickman)

May 1980

Support Points and Extreme Points for Several Classes of Analytic Functions

Roby, Donald (Hammond)

May 1980

On Certain Maps Between Schwarz-Bruhat Spaces

Leary, Francis (Brown)

December 1979

The Functions Chi and Chi n in Generalized Summability

Muhanna, Yusuf (MacGregor)

May 1979

Extreme Points and Extremal Problems for Classes of Analytic Functions

Cochrane, Paul (MacGregor)

December 1975

Subordinations, Extreme Points and Support Points for Some Families of Univalent Functions

Arovamudhan, Renganathan (Jenkins)

May 1974

On Symmetry of Group Algebras of Connected Solvable Lie Groups

Deeb, Waleed (Wilken)

May 1974

Maximal Ideals in H-infinity (D) Adherent to an Infinitely Connected Domain

Feng, Jinfu (MacGregor)

May 1974

Extreme Points and Integral Mean Estimates for Classes of Analytic Functions

Libera, John (Goldstein)

December 1973

Differentiable Quasi-Free-Like Circle Actions On Homotopy Seven Spheres

Mynott, Helga (Brickman)

August 1973

Composition Operators on Spaces of Analytic Functions

Stern, Charles (Wilken)

August 1973

Function Spaces and Minimal Intersections of Peak Sets

Wagner, Clifford (Thomas)

May 1973

Symmetric, Cyclic, and Permutation Products of Manifolds

Hallenbeck, David (MacGregor)

May 1972

Convex Hulls and Extreme Points of Some Families of Univalent Functions

Meyers, Glenn (Brown)

May 1972

On Toeplitz Sections in PK Space