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

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2010

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Warped Product Einstein Metrics Over Spaces with Constant Scalar Curvature, Chenxu He, Peter Petersen, and William Wylie

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Existence of Energy-Minimal Diffeomorphisms Between Doubly Connected Domains, Tadeusz Iwaniec, Ngin-Tee Koh, Leonid V. Kovalev, and Jani Onninen

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Diffeomorphic Approximation of Sobolev Homeomorphisms, Tadeusz Iwaniec, Leonid V. Kovalev, and Jani Onninen

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Doubly Connected Minimal Surfaces and Extremal Harmonic Mappings, Tadeusz Iwaniec, Leonid V. Kovalev, and Jani Onninen

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Harmonic Mapping Problem and Affine Capacity, Tadeusz Iwaniec, Leonid V. Kovalev, and Jani Onninen

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Hopf Differentials and Smoothing Sobolev Homeomorphisms, Tadeusz Iwaniec, Leonid V. Kovalev, and Jani Onninen

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Analyzing Fractals, Kara Mesznik

2009

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Additive Maps Preserving the Reduced Minimum Modulus of Banach Space Operators, Abdellatif Bourhim

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

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Quasiplurisubharmonic Green Functions, Dan Coman and Vincent Guedj

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Contact Process in a Wedge, J. Theodore Cox, Nevena Maric, and Rinaldo Schinazi

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On the structure of reliability polynomials, Christina Marie Graves

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Growth of tessellations, Stephen James Graves

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Khovanov Homology, Sutured Floer Homology, and Annular Links, J. Elisenda Grigsby and Stephan M. Wehrli

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On the Naturality of the Spectral Sequence from Khovanov Homology to Heegaard Floer Homology, J. Elisenda Grigsby and Stephan M. Wehrli

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Harmonic Mappings of an Annulus, Nitsche Conjecture and its Generalizations, Tadeusz Iwaniec, Leonid V. Kovalev, and Jani Onninen

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The Nitsche Conjecture, Tadeusz Iwaniec, Leonid V. Kovalev, and Jani Onninen

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Presentations of Rings with Non-Trivial Semidualizing Modules, David A. Jorgensen, Graham J. Leuschke, and Sean Sather-Wagstaff

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Area Contraction for Harmonic Automorphisms of the Disk, Ngin-Tee Koh and Leonid V. Kovalev

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An N-Dimensional Version of the Beurling-Ahlfors Extension, Leonid V. Kovalev and Jani Onninen

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Fast multiscale integral equation methods for image restoration, Yao Lu

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Structure of infinitely-ended, edge-transitive planar maps and their petrie walks, Adam James McCaffery

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Ethnomathematics in the Dominican Republic: A Mathematics Education Approach to Knowledge and Emancipation, Sofia Pablo-Hoshino

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Approximation of kernel matrices in machine learning, Guohui Song

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A Remark on the Topology of (n,n) Springer Varieties, Stephan M. Wehrli

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Mutation Invariance of Khovanov Homology over F_2, Stephan M. Wehrli

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Sampling with reproducing kernels, Haizhang Zhang

2008

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On the geometry of p-harmonic mappings, Tomasz Adamowicz

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On the Colored Jones Polynomial, Sutured Floer Homology, and Knot Floer Homology, J. Elisenda Grigsby and Stephan Wehrli

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Elliptic Complexes and Generalized Poincaré Inequalities, Derek Gustafson

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Dynamics of Quasiconformal Fields, Tadeusz Iwaniec, Leonid V. Kovalev, and Jani Onninen

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On Injectivity of Quasiregular Mappings, Tadeusz Iwaniec, Leonid V. Kovalev, and Jani Onninen

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Biological time series classification via reproducing kernels and sample entropy, Dong Mao

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On Gradient Ricci Solitons with Symmetry, Peter Petersen and William Wylie

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On the Classification of Gradient Ricci Solitons, Peter Petersen and William Wylie

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The Mixed Problem for Harmonic Functions in Polyhedra, Moises Venouziou and Gregory C. Verchota

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Contributions to Khovanov Homology, Stephan M. Wehrli

2007

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Domains of Definition of Monge-Ampère Operators on Compact Kähler Manifolds, Dan Coman, Vincent Guedj, and Ahmed Zeriahi

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Stable Algebras of Entire Functions, Dan Coman and Evgeny A. Poletsky

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Representations of a valued quiver, the lattice of admissible sequences, and the Weyl group of a Kac-Moody algebra, Allen Neil Pelley

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Rigidity of Gradient Ricci Solitons, Peter Petersen and William Wylie

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Wavelets on manifolds and multiscale reproducing kernel Hilbert spaces, Dale William Struble

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Existence of Positive Definite Noncoercive Sums of Squares, Gregory C. Verchota

Comparison Geometry for the Bakry-Emery Ricci Tensor, Guofang Wei and William Wylie

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Complete Shrinking Ricci Solitons have Finite Fundamental Group, William Wylie

2006

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Categorification of the Colored Jones Polynomial and Rasmussen Invariant of Links, Anna Beliakova and Stephan Wehrli

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Factoring the Adjoint and Maximal Cohen-Macaulay Modules over the Generic Determinant, Ragnar-Olaf Buchweitz and Graham J. Leuschke

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Selection procedures for binomial populations, Elena Mihaela Buzaianu

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Overinterpolation, Dan Coman and Evgeny A. Poletsky

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Secondary Terms in the Number of Vanishings of Quadratic Twists of Elliptic Curve L-Functions, J. Brian Conrey, Atul Pocharel, Michael O. Rubinstein, and Mark Watkins

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The Elementary Theory of Normed Linear Spaces and Linear Functionals, Suresh Eswarthasan

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Multi-category support vector machines, Yunchuan Gao

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Continuity of plurisubharmonic envelopes, Nihat Gokhan Gogus

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Influence of Surface Tension on the Conical Miniscus of a Magnetic Fluid in the Field of a Current-Carrying Wire, Thomas John, Dirk Rannacher, and Adreas Engel

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On the Growth of the Betti Sequence of the Canonical Module, David A. Jorgensen and Graham J. Leuschke

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Admissible Sequences, Preprojective Modules, and Reduced Words in the Weyl Group of a Quiver, Mark Kleiner and Allen Pelley

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Preprojective Representations of Valued Quivers and Reduced Words in the Weyl Group of a Kac-Moody Algebra, Mark Kleiner and Allen Pelley

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Sequences of Reflection Functors and the Preprojective Component of a Valued Quiver, Mark Kleiner and Helene R. Tyler

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Doubling Measures, Monotonicity, and Quasiconformality, Leonid V. Kovalev, Diego Maldonado, and Jang-Mei Wu

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Deformations of plane curve singularities of constant class, Philip Joseph Lynn

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Symmetric Powers of Elliptic Curve L-Functions, Phil Martin and Mark Watkins

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Universal Kernels, Charles A. Micchelli, Yuesheng Xu, and Haizhang Zhang

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A new approach to test for interactions in two-way ANOVA models, Wei Ning

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Some Heuristics about Elliptic Curves, Mark Watkins

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Some Remarks on Heegner Point Computations, Mark Watkins

2005

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Representations of semisimple Hopf algebras, Sebastian Burciu

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Local Theory of Almost Split Sequences for Comodules, William Chin, Mark Kleiner, and Declan Quinn

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Discretisation for Odd Quadratic Twists, J. Brian Conrey, Michael O. Rubinstein, Nina C. Snaith, and Mark Watkins

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Rescaled Lotka-Volterra Models Converge to Super-Brownian Motion, J. Theodore Cox and Edwin A. Perkins

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Almost Split Morphisms, Preprojective Algebras and Multiplication Maps of Maximal Rank, Steven P. Diaz and Mark Kleiner

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Finite-Dimensional Algebras with Smallest Resolutions of Simple Modules, Shashidhar Jagadeeshan and Mark Kleiner

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Endomorphism Rings of Finite Global Dimension, Graham J. Leuschke

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A homological approach to differentiation algorithms and dimensions of finite type for representations of partially ordered sets, Markus Reitenbach

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Determining the Effects of Psychosocial Interventions on Quality of Life for Cancer Patients: Analysis of Pilot Data and Recommendations for Full Experimental Design and Statistical Analysis, Sarah Julia Thomas

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Rank Distribution in a Family of Cubic Twists, Mark Watkins

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Noncompact Manifolds with Nonnegative Ricci Curvature, William Wylie

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The Stepping Stone Model, II: Genealogies and the Infinite Sites Model, Submitted, Iljana Zähle, J. Theodore Cox, and Richard Durrett

2004

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Homology over Local Homomorphisms, Luchezar L. Avramov, Srikanth Iyengar, and Claudia Miller

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The Adjoint of an Even Size Matrix Factors, Ragnar-Olaf Buchweitz and Graham J. Leuschke

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Entire Pluricomplex Green Functions and Lelong Numbers of Projective Currents, Dan Coman

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Invariant Currents and Dynamical Lelong Numbers, Dan Coman and Vincent Guedj

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Quasianalyticity and Pluripolarity, Dan Coman, Norman Levenberg, and Evgeny A. Poletsky

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Smooth Submanifolds Intersecting any Analytic Curve in a Discrete Set, Dan Coman, Norman Levenberg, and Evgeny A. Poletsky

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Transcendence Measures and Algebraic Growth of Entire Functions, Dan Coman and Evgeny A. Poletsky

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Elliptic Curves of Large Rank and Small Conductor, Noam D. Elkies and Mark Watkins

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Two Theorems about Maximal Cohen--Macaulay Modules, Craig Huneke and Graham J. Leuschke

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Selection procedures for lognormal populations, Thomas T. John

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Explicit Lower Bounds on the Modular Degree of an Elliptic Curve, Mark Watkins

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A Spanning Tree Model for Khovanov Homology, Stephan Wehrli

2003

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Local Spectra of Operator Weighted Shifts, Abdellatif Bourhim

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On the Local Spectral Properties of Weighted Shift Operators, Abdellatif Bourhim

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On a Conjecture of Auslander and Reiten, Craig Huneke and Graham J. Leuschke

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Hypersurfaces of Bounded Cohen-Macaulay Type, Graham J. Leuschke and Roger Wiegand

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Local Rings of Bounded Cohen-Macaulay Type, Graham J. Leuschke and Roger Wiegand

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Biting convergence of null-Lagrangians, Uma Subramanian

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Khovanov Homology and Conway Mutation, Stephan Wehrli

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Numerical methods for smooth, detectable image perturbations, Roxana Ioana Zangor

2002

The F-Signature and Strong F-Regularity, Ian M. Aberbach and Graham J. Leuschke

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Bilinski diagrams and geodesics in 1-ended planar maps, Jennifer Antoinette Bruce

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Local Rings of Countable Cohen-Macaulay Type, Craig Huneke and Graham J. Leuschke