This page contains all publications submitted to SURFACE written by students, faculty, and staff in the department.

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2024

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Numerical invariants of Cohen-Macaulay local and graded rings, Richard Francis Bartels

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The Functoriality of Odd Khovanov Homology up to Sign and Applications, Jacob Migdail-Smith

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Exploring Students’ Emotions and Mathematics Learning in Social Justice Mathematics, Waleed Ashraf Raja

2023

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An Investigation of the Impact of Embedding Learning Strategies into Developmental Mathematics Curriculum, Jessica J. Harnly

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Numerical Methods for Integral Equations, Yuzhen Liu

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On homogeneous closed gradient Laplacian solitons and the modified conformal Hessian, Nicholas Ng

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On Selecting the t Best of k Binomial Populations, Mingyue Wang

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Rescaled Density Processes of Voter Model Perturbations on r-Regular Random Graphs converge to Feller’s Branching Diffusion, Tianyue Wu

2022

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Distortion Estimates for Conformal Maps Predicated on Geometric Properties of a Domain, Christopher G. Donohue

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Matrix Factorizations With More Than Two Factors, Tim Tribone

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Applications of Powerset Operators, Especially to Matroids, Nathan Uricchio

2021

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Ambient Obstruction Solitons and Homogeneous Gradient Bach Solitons, Erin Renee Griffin

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Ambient Obstruction Solitons And Homogeneous Gradient Bach Solitons, Erin Renee Griffin

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Regularity of the D-bar-Neumann Operator, the Bergman Projection and the Canonical Solution Operator of D-bar-Equation, Muzhi Jin

Free Actions on Cohomology Bazaikin Spaces, Elahe Khalili Samani

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N-bakry Emery Ricci Curvature & N-quasi Einstein Metrics, Alice Wu Lim

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N-Bakry Emery Ricci Curvature & N-Quasi Einstein Metrics, Alice Wu Lim

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Torsion Subgroups of Rational Elliptic Curves Over Odd Degree Galois Fields, Caleb McWhorter

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Torsion Subgroups Of Rational Elliptic Curves Over Odd Degree Galois Fields, Caleb Mcwhorter

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Odd annular Bar-Natan Category and Gl(1|1), Casey Necheles

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Hochschild Cohomology of Short Gorenstein Rings, Mkrtich Ohanyan

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Hochschild Cohomology Of Short Gorenstein Rings, Mkrtich Ohanyan

2020

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Metric Geometry of Finite Subset Spaces, Earnest Akofor

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Properties of the Toric Rings of a Chordal Bipartite Family of Graphs, Laura Ballard

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Koszul Homology and Resolutions over Commutative Rings, Rachel Nicole Diethorn

2019

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Blaschke Decompositions on Weighted Hardy Spaces and the Unwinding Series, Stephen D. Farnham

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Homology over a Complete Intersection Ring via the Generic Hypersurface, Eric Jeffrey Ottman

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Structured Sparsity Promoting Functions: Theory and Applications, Erin Tripp

2018

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The Structure of 4-Clusters in Fullerenes, Jennifer Edmond

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An Examination of Elementary Teachers Perspectives on the Learning and Mastery of Basic Math Facts, Emily Guydan

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Black Students White Teachers: An Autoethnographic Analysis, Julie Harnett

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Lelong Numbers and Geometric Properties of Upper Level Sets of Currents on Projective Space, James Heffers

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Implicit Fixed-point Proximity Framework for Optimization Problems and Its Applications, Xiaoxia Liu

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Auslander-Reiten Sequences over Gorenstein Rings of Dimension One, Robert Roy

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Reflection Functors in the Representation Theory of Quivers, Danika Van Niel

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Matrix Methods of Data Analysis, Kaiye Yu

2017

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Mappings Between Annuli of Smallest p-Harmonic Energy, Daniel Cuneo

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Stable Sparse Orthogonal Factorization of Ill-Conditioned Banded Matrices for Parallel Computing, Qian Huang

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Representation Theory of Orders over Cohen-Macaulay Rings, Josh John Stangle

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Migration at the Provincial Level in China: Effects of the Economic Motivation and Migration Cost, Mengran Zhang

2016

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Lipschitz Geometry of Banach and Metric Spaces, Patrick Biermann

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Finite Generation of Ext-Algebras of Finite Dimensional Algebras and Associated Monomial Algebras, Melissa Margaret DiMarco

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Science, Technology, Engineering, and Mathematics Education in Chile and the United States, Kaitlin O'Rourke

2015

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Composite Minimization: Proximity Algorithms and Their Applications, Feishe Chen

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Change Point Detection and Estimation in Sequences of Dependent Random Variables, Benjamin Cortese

Metric Space Invariants between the Topological and Hausdorff Dimensions, Claudio A. DiMarco

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Poletsky-Stessin Hardy Spaces on the Unit Disk, Khim Raj Shrestha

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Geometry of Hilbert Space Frames, Stephen Sorokanich III

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Goppa Codes and Their Use in the McEliece Cryptosystems, Ashley Valentijn

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EXTENSION OF PLURISUBHARMONIC FUNCTIONS AND DYNAMICS OF POLYNOMIAL MAPPINGS, Ozcan Yazici

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Mathematics in Forensic Firearm Examination, Erin N. Zalewski

2013

Holomorphic Fundamental Semigroup of Riemann Domains, Dayal Buddhika Dharmasena

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Methods of Nonparametric Multivariate Ranking and Selection, Jeremy Entner

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Scalars and Generating Bases for the Module of Splines with Boundary Conditions C(r;0)(I, Gordon Michael Jones

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Extension Properties of Pluricomplex Green Functions, Sidika Zeynep Ozal

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Filter-based multiscale entropy analysis of complex physiological time series, Liang Zhao

2012

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The Eventual Vanishing of Self-Extensions, Kosmas Diveris

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The Clar Structure of Fullerenes, Elizabeth Jane Hartung

Green's Functions for Linear Ordinary Di, In Gun Kim

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Discrete Sparse Fourier Hermite Approximations in High Dimensions, Ashley Prater

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The Number of Ways to Write n as a Sum of ` Regular Figurate Numbers, Seth Jacob Rothschild

2011

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Efficient First Order Methods for Linear Composite Regularizers, Andreas Argyriou, Charles A. Micchelli, Massimiliano Pontil, Lixin Shen, and Yuesheng Xu

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On Khovanov-Seidel Quiver Algebras and Bordered Floer Homology, Denis Auroux, J. Elisenda Grigsby, and Stephan M. Wehrli

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Stable Generalized Finite Element Method (SGFEM), I. Babuska and U. Banerjee

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Why Probability Appears in Quantum Mechaincs, Jerome Blackman and Wu Teh Hsiang

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Excess Porteous, Coherent Porteous, and the Hyperelliptic Locus in M3, Thomas S. Bleier

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A Direct Limit for Limit Hilbert-Kunz Multiplicity for Smooth Projective Curves, Holger Brenner, Jinjia Li, and Claudia Miller

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Non-Commutative Desingularization of Determinantal Varieties, II, Ragar-Olaf Buchweitz, Graham J. Leuschke, and Michel Van Den Bergh

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Equidistribution Results for Singular Metrics on Line Bundles, Dan Coman and George Marinescu

Pade Interpolation by F-Polynomials and Transfinite Diameter, Dan Coman and Evgeny A. Poletsky

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Voter Model Perturbations and Reaction Diffusion Equations, J. Theodore Cox, Richard Durrett, and Edwin A. Perkins

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A Branching Process for Virus Survival, J. Theodore Cox and Rinaldo B. Schinazi

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Wild Hypersurfaces, Andrew Crabbe and Graham J. Leuschke

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Pruitt's Estimates in Banach Space, Philip S. Griffin

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Path Decomposition of Ruinous Behaviour for a General Lévy Insurance Risk Process, Philip S. Griffin and Ross A. Maller

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Small and Large Time Stability of the Time Taken for a Lévy Process to Cross Curved Boundaries, Philip S. Griffin and Ross A. Maller

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The Time at Which a Lévy Process Creeps, Philip S. Griffin and Ross A. Maller

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Path Decomposition of Ruinous Behaviour for a General Lévy Insurance Risk Process, Philip S. Griffin and Ross A. Maller

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Small and Large Time Stability of the Time Taken for a Lévy Process to Cross Curved Boundaries, Philip S. Griffin and Ross A. Maller

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The Time at Which a Lévy Process Creeps, Philip S. Griffin and Ross A. Maller

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Asymptotic Distributions of the Overshoot and Undershoots for the Lévy Insurance Risk Process in the Cramér and Convolution Equivalent Cases, Philip S. Griffin, Ross A. Maller, and Kees van Schaik

Asymptotic Distributions of the Overshoot and Undershoots for the Lévy Insurance Risk Process in the Cramér and Convolution Equivalent Cases, Philip S. Griffin, Ross A. Maller, and Kees van Schaik

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On the Classification of Warped Product Einstein Metrics, Chenxu He, Peter Petersen, and William Wylie

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The Space of Virtual Solutions to the Warped Product Einstein Equation, Chenxu He, Peter Petersen, and William Wylie

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Warped Product Rigidity, Chenxu He, Peter Petersen, and William Wylie

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An Essay on the Interpolation Theorem of Józef Marcinkiewicz - Polish Patriot, Tadeusz Iwaniec

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Lipschitz Regularity for Inner-Variational Equations, Tadeusz Iwaniec, Leonid V. Kovalev, and Jani Onninen

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Strong Approximation of Homeomorphisms of Finite Dirichlet Energy, Tadeusz Iwaniec, Leonid V. Kovalev, and Jani Onninen

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n-Harmonic Mappings Between Annuli, Tadeusz Iwaniec and Jani Onninen

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Color Image Noise Reduction with the Total Variation Model and Proximity Operators, Aaron Katchen

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Adjoint Functors, Projectivization, and Differentiation Algorithms for Representations of Partially Ordered Sets, Mark Kleiner and Markus Reitenbach

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Quasisymmetric Graphs and Zygmund Functions, Leonid V. Kovalev and Jani Onninen

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Non-Commutative Crepant Resolutions: Scenes from Categorical Geometry, Graham J. Leuschke

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Mathematical Knowledge for Teaching Teachers: The Case of Multiplication and Division of Fractions, Dana E. Olanoff

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Potential Theory on Compact Sets, Tony Perkins

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Complexity over Finite-Dimensional Algebras, Marju Purin

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Distinguishability of Infinite Groups and Graphs, Simon M. Smith, Thomas W. Tucker, and Mark E. Watkins

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Mixed Problems and Layer Potentials for Harmonic and Biharmonic Functions, Moises Venouziou

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Refinement of Operator-Valued Reproducing Kernels, Yuesheng Xu, Haizhang Zhang, and Qinghui Zhang

2010

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On the convergence and superconvergence of the Generalized Finite Element Methods, Cosmin Anitescu