# Preprint Series

Welcome to the UC Santa Barbara Mathematics Department electronically downloadable preprint series, which features preprints authored by regular and visiting faculty, emeriti, postdocs, and graduate students.

Final published versions can best be located via MathSciNet (subscription required).

Department members can submit preprints by emailing an arXiv number or a pdf file to drm at math.ucsb.edu

The recommended way to cite preprints in this series is with the report number "UCSB Math YYYY-NN".

## 2017

 2017-07 Exotic matter on singular divisors in F-theory Denis Klevers, David R. Morrison, Nikhil Raghuram, Washington Taylor 2017-06 Fundamental Gap of Convex Domains in the Spheres (with Appendix B by Qi S. Zhang) Chenxu He, Guofang Wei 2017-05 Dehn’s lemma for immersed loops Michael Freedman and Martin Scharlemann 2017-04 Explicit formulas for enumeration of lattice paths: basketball and the kernel method Cyril Banderier, Christian Krattenthaler, Alan Krinik, Dmitry Kruchinin, Vladimir Kruchinin, David Nguyen, and Michael Wallner 2017-03 Linking matrices in systems with Periodic Boundary Conditions Eleni Panagiotou and Kenneth C. Millett 2017-02 6D SCFTs and phases of 5d theories Michele Del Zotto, Jonathan J. Heckman, and David R. Morrison 2017-01 More Knots in Knots: a study of classical knot diagrams Kenneth C Millett and Alex Rich

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## 2016

 2016-32 Zariski dense surface subgroups in $SL(4,\mathbb{Z})$ D.D. Long & M. B. Thistlethwaite 2016-31 Congruence subgroups from representations of the three-strand braid group Joseph Ricci and Zhenghan Wang 2016-30 Volume growth, entropy and stability for translating solitons Qiang Guang 2016-29 Curvature estimates for stable free boundary minimal hypersurfaces Martin Li, Xin Zhou 2016-28 Min-max theory for free boundary minimal hypersurfaces I - regularity theory Martin Li, Xin Zhou 2016-27 Neumann Isoperimetric Constant Estimate for Convex Domains Xianzhe Dai, Guofang Wei, Zhenlei Zhang 2016-26 The Heisenberg group acts on a strictly convex domain Daryl Cooper 2016-25 Singular values of weighted composition operators and second quantization Mihai Putinar, James E. Tener 2016-24 On classification of extremal non-holomorphic conformal field theories James E. Tener, Zhenghan Wang 2016-23 Geometric realization of algebraic conformal field theories James E.Tener 2016-22 Construction of the unitary free fermion Segal CFT James E. Tener 2016-21 Planar algebras in braided tensor categories André Henriques, David Penneys, James E.Tener 2016-20 Bootstrapping the Mazur-Orlicz-Konig theorem Stephen Simons 2016-19 The Rockafellar Conjecture and type (FPV) Radu Ioan Bot, Orestes Bueno and Stephen Simons 2016-18 Quasidense monotone multifunctions Stephen Simons 2016-17 Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces David R. Morrison, Daniel S. Park, Washington Taylor 2016-16 Gradient recovery for elliptic interface problem: II. immersed finite element methods Hailong Guo and Xu Yang 2016-15 Gradient recovery for elliptic interface problem: I. body-fitted mesh Hailong Guo and Xu Yang 2016-14 Properties of solutions to the Camass-Holm equation on the line in a class containing the peaks Felipe Linares, Gustavo Ponce, Thomas C. Sideris 2016-13 Gromov-Witten invariants and localization David R. Morrison 2016-12 Tall sections from non-minimal transformations David R. Morrison and Daniel S. Park 2016-11 Normalizers and centralizers of cyclic subgroups generated by lone axis fully irreducible outer automorphisms YAEL ALGOM-KFIR AND CATHERINE PFAFF 2016-10 Sharp Fundamental Gap Estimate on Convex Domains of Sphere Shoo Seto, Lili Wang, Guofang Wei 2016-09 Non-affine Hopf algebra domains of Gelfand-Kirillov dimension two K.R. Goodearl and J.J. Zhang 2016-08 On the universal cover and the fundamental group of an $RCD^*(K,N)$-space Andrea Mondino, Guofang Wei 2016-07 Local Sobolev Constant Estimate for Integral Ricci Curvature Bounds Xianzhe Dai, Guofang Wei, Zhenlei Zhang 2016-06 F-theory and Unpaired Tensors in 6D SCFTs and LSTs David R. Morrison and Tom Rudelius 2016-05 F-Theory and N=1 SCFTs in Four Dimensions David R. Morrison and Cumrun Vafa 2016-04 An ergodic algorithm for generating knots with a prescribed injectivity radius Kyle Chapman 2016-03 Congested aggregation via Newtonian interaction Katy Craig, Inwon Kim, Yao Yao 2016-02 SU(N) transitions in M-theory on Calabi-Yau fourfolds and background fluxes Hans Jockers, Sheldon Katz, David R. Morrison, M. Ronen Plesser 2016-01 A Decomposition of Parking Functions by Undesired Spaces Melody Bruce, Michael Dougherty, Max Hlavacek, Ryo Kudo, Ian Nicolas

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## 2015

 2015-28 A Generalization of p-Rings Adil Yaqub 2015-27 Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions Katy Craig 2015-26 Weak subdifferentials, rL-density and maximal monotonicity Stephen Simons and Xianfu Wang 2015-25 "Densities" and Maximal monotonicity I Stephen Simons 2015-24 Existence and asymptotic behavior of affine motion of 3D ideal fluids surrounded by vacuum Thomas C. Sideris 2015-23 Tensor splitting properties of n-inverse pairs of operators Caixing Gu and Stepan Paul 2015-22 Deforming convex projective manifolds Daryl Cooper, Darren Long, Stephan Tillmann 2015-21 On the regularity of solutions to a class of nonlinear dispersive equations F. Linares, G. Ponce, D. L. Smith 2015-20 Hardy Uncertainty Principle, Convexity and Parabolic Evolutions L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega 2015-19 On the propagation of regularity of solutions of the Kadomtsev-Petviashvilli (KPII) equation P. Isaza, F. Linares, G. Ponce 2015-18 Ideal Whitehead Graphs in Out(Fr): Building ideal Whitehead graphs in higher ranks and ideal Whitehead graphs with cut vertices Catherine Pfaff 2015-17 Lehmer pairs revisited Jeffrey Stopple 2015-16 F-theory and the Classification of Little Strings Lakshya Bhardwaj, Michele Del Zotto, Jonathan J. Heckman, David R. Morrison, Tom Rudelius, Cumrun Vafa 2015-15 On the global symmetries of 6D superconformal field theories Marco Bertolini, Peter R. Merkx, David R. Morrison 2015-14 Convex projective structure on non-hyperbolic three-manifolds Samuel Ballas, Jeffrey Danciger, and Gye-Seon Lee 2015-13 A Classification of subgroups of SL(4, R) Isomorphic to R3 and Generalized Cusps in Projective 3 Manifolds Arielle Leitner 2015-12 Limits Under Conjugacy of the Diagonal Subgroup in SL(n,R) Arielle Leitner 2015-11 Conjugacy Limits of the Cartan Subgroup in SL(3,R) Arielle Leitner 2015-10 On Gauge Enhancement and Singular Limits in G2 Compactifications of M-theory James Halverson and David R. Morrison 2015-9 Characterizations of the round two-dimensional sphere in terms of closed geodesics Lee Kennard and Jordan Rainone 2015-8 Thin surface subgroups in cocompact lattices in SL(3,R) D.D. Long & A. W. Reid 2015-7 The Area of Convex Projective Surfaces Ilesanmi Adeboye, Daryl Cooper 2015-6 Complexity functions on 1-dimensional cohomology Daryl Cooper and Stephan Tillmann 2015-5 Geometry of 6D RG Flows Jonathan J. Heckman, David R. Morrison, Tom Rudelius, Cumrun Vafa 2015-4 Special Lagrangian torus fibrations of complete intersection Calabi-Yau manifolds: a geometric conjecture David R. Morrison, M. Ronen Plesser 2015-3 Lenstra-Hurwitz cliques and the class number one problem D. D. Long and Morwen B. Thistlethwaite 2015-2 Detecting Fourier subspaces Charles A. Akemann and Nik Weaver 2015-1 Atomic Classification of 6D SCFTs Jonathan J. Heckman, David R. Morrison, Tom Rudelius and Cumrun Vafa

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## 2014

 2014-39 6D SCFTs and Gravity Michele Del Zotto, Jonathan J. Heckman, David R. Morrison and Daniel S. Park 2014-38 Non-Higgsable clusters for 4D F-theory models David R. Morrison and Washington Taylor 2014-37 The Landscape of M-theory Compactifications on Seven-Manifolds with G2 Holonomy James Halverson and David R. Morrison 2014-36 The exceptional symmetry Jon McCammond 2014-35 Curvature and computation Jon McCammond 2014-34 The infinite cyclohedron and its automorphism group Ariadna Fossas Tenas and Jon McCammond 2014-33 Braid groups and euclidean simplices Elizabeth Leyton Chisholm and Jon McCammond 2014-32 A Mathematical Analysis of Knotting and Linking in Leonardo da Vinci's Cartelle of the Accademia Vinciana Jessica Hoy and Kenneth C Millett 2014-31 The realization problem for some wild monoids and the Atiyah problem P. Ara and K. R. Goodearl 2014-30 Constructing thin subgroups commensurable with the figure-eight knot group Samuel A. Ballas and Darren Long 2014-29 Pulling-force-induced elongation and alignment effects on entanglement and knotting characteristics of linear polymers in a melt. E. Panagiotou and M. Kroeger 2014-28 The isomorphism problem for multiparameter quantized Weyl algebras K. R. Goodearl, J. T. Hartwig 2014-27 Tame and wild refinement monoids P. Ara, K. R. Goodearl 2014-26 On the propagation of regularities in solution of the Benjamin-Ono equation P. Isaza, F. Linares, G. Ponce 2014-25 On the persistence properties in fractional weighted spaces G. Fonseca, F. Linares, G. Ponce 2014-24 Propagation of regularity and decay of solution of the k-generalized Korteweg-de Vries equation JP. Isaza, F. Linares, G. Ponce 2014-23 Decay properties for solutions of fifth order nonlinear dispersive equations JP. Isaza, F. Linares, G. Ponce 2014-22 Spreading of the free boundary of an ideal fluid in a vacuum Thomas C. Sideris 2014-21 Positive weighted sectional curvature Lee Kennard and William Wylie 2014-20 Hereditary C*-Subalgebra Lattices Charles A. Akemann and Tristan Bice 2014-19 Limits of geometries Daryl Cooper, Jeffrey Danciger and Anna Wienhard 2014-18 Finite-volume Hyperbolic 3-Manifolds contain immersed Quasi-Fuchsian surfaces Mark D. Baker and Daryl Cooper 2014-17 Rational Hyperbolic Triangles and a Quartic Model of Elliptic Curves Nicolas Brody and Jordan Schettler 2014-16 Wendy's Xenharmonic Keyboard Jordan Schettler 2014-15 K3 surfaces, modular forms, and non-geometric heterotic compactifications Andreas Malmendier and David R. Morrison 2014-14 Notes on log(ζ(s))'' Jeffrey Stopple 2014-13 Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory Christoph Mayrhofer, David R. Morrison, Oskar Till, and Timo Weigand 2014-12 Sections, multisections, and U(1) fields in F-theory David R. Morrison and Washington Taylor 2014-11 Using Continued Fractions to Compute Iwasawa Lambda Invariants of Imaginary Quadratic Number Fields Jordan Schettler 2014-10 Finite Volume Properly Convex Deformations of the Figure-eight Knot Samuel Ballas 2014-9 Positive curvature and rational ellipticity Manuel Amann and Lee Kennard 2014-8 On a generalized conjecture of Hopf with symmetry Manuel Amann and Lee Kennard 2014-7 Box Graphs and Singular Fibers Hirotaka Hayashi, Craig Lawrie, David R. Morrison, Sakura Schafer-Nameki 2014-6 F-theory on Genus-One Fibrations Volker Braun, David R. Morrison 2014-5 On some projective unitary qutrit gates Claire Levaillant 2014-4 The structure of euclidean Artin groups Jon McCammond 2014-3 Artin groups of euclidean type Jon McCammond and Robert Sulway 2014-2 Dual euclidean Artin groups and the failure of the lattice property Jon McCammond 2014-1 Factoring euclidean isometries Noel Brady and Jon McCammond

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## 2013

 2013-35 Dispersive blow up for nonlinear Schrodinger equations revised J. Bona, G. Ponce, J-C. Saut, C. Sparber 2013-34 On the Classification of 6D SCFTs and Generalized ADE Orbifolds Jonathan J. Heckman, David R. Morrison, Cumrun Vafa 2013-33 The Kolmogorov-Obukhov Theory of Turbulence, A Mathematical Theory of Turbulence Björn Birnir 2013-32 The Kolmogorov-Obukhov-She-Leveque Scaling in Turbulence Björn Birnir 2013-31 The Kolmogorov-Obukhov Statistical Theory of Turbulence Björn Birnir 2013-30 KOSL Scaling, Invariant Measure and PDF of Turbulence Björn Birnir 2013-29 Ordered, Disordered and Partially Synchronized Schools of Fish Baldvin Einarsson, Björn Birnir, and Luis L. Bonilla 2013-28 Erosion and optimal transport Björn Birnir and Julie Rowlett 2013-27 Zariski topologies on stratified spectra of quantum algebras K.A. Brown and K.R. Goodearl 2013-26 Unipotent and Nakayama automorphisms of quantum nilpotent algebras K.R. Goodearl and M.T. Yakimov 2013-25 Quantized Coordinate Rings of the Unipotent Radicals of the Standard Borel Subgroups in SLn+1 Andrew Jaramillo 2013-24 On the Chern problem with symmetry Lee Kennard 2013-23 Quantum cluster algebra structures on quantum nilpotent algebras K. R. Goodearl, M. T. Yakimov 2013-22 From quantum Ore extensions to quantum tori via noncommutative UFDs K. R. Goodearl, M. T. Yakimov 2013-21 The Freedman group: a physical interpretation for the SU(3) subgroup D(18,1,1;2,1,1) of order 648 Claire Levaillant 2013-20 A Lyapunov type theorem from Kadison-Singer Charles Akemann, Nik Weaver 2013-19 Polar subspaces and automatic maximality Stephen Simons 2013-18 Complexity Classes as Mathematical Axioms II Shawn X. Cui, Michael H. Freedman, Zhenghan Wang 2013-17 Perturbative corrections to Kähler moduli spaces James Halverson, Hans Jockers, Joshua M. Lapan, David R. Morrison 2013-16 A generalization of the Epstein-Penner construction to projective manifolds Daryl Cooper, Darren Long 2013-15 High Distance Heegaard Splittings via Dehn Twists Michael Yoshizawa 2013-14 Turbulence properties and global regularity of a modified Navier-Stokes model T. Grafke, R. Grauer, T.C. Sideris 2013-13 On the theorem of Conrey and Iwaniec Jeffrey Stopple 2013-12 Monotonicity Formulas for Bakry-Emery Ricci Curvature Bingyu Song, Guofang Wei, and Guoqiang Wu 2013-11 Knot Fingerprints Resolve Knot Complexity and Knotting Pathways in Tight Knots David A. B. Hyde, Kenneth C. Millett, Joshua Henrich, Eric J. Rawdon and Andrzej Stasiak 2013-10 Writhe versus mutual entanglement of linear polymer chains in a melt E. Panagiotou, M. Kroger, K. C. Millett 2013-9 Quantifying entanglement for collections of chains in periodic boundary conditions models E. Panagiotou, K. C. Millett, S. Lambropoulou 2013-8 Knotting pathways in proteins Joanna I Sulkowska, Jeffrey K. Noel, Cesar A. Ramirez-Sarmiento, Eric J. Rawdon, Kenneth C. Millett, Jose N. Onuchic 2013-7 Knot localization in proteins Eric J. Rawdon, Kenneth C. Millett, Joanna I. Sulkowska, Andrzej Stasiak 2013-6 Identifying knots in proteins Kenneth C. Millett, Eric J. Rawdon, Andrzej Stasiak, Joanna I Sulkowska 2013-5 New methods for characterizing phases of 2D supersymmetric gauge theories James Halverson, Vijay Kumar, and David R. Morrison 2013-4 Which multiplier algebras are W*-algebras? Charles A. Akemann, Massoud Amini, Mohammad B. Asadi 2013-3 Unimodular embeddings Mark Duggan and Larry Gerstein 2013-2 Topological properties of positively curved manifolds with symmetry Manuel Amann and Lee Kennard 2013-1 Notes on Low discriminants and the generalized Newman conjecture Jeffrey Stopple

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## 2012

 2012-38 A quantum combinatorial approach for computing a tetrahedral network of Jones-Wenzl projectors Claire Levaillant 2012-37 Generalizations of Iwasawa's 'Riemann-Hurwitz' Formula for Cyclic p-Extensions of Number Fields Jordan Schettler 2012-36 An Alternative Proof and Generalization of Ferrero's Computations of Iwasawa λ-Invariants Jordan Schettler 2012-35 A new set of generators and a physical interpretation for the SU(3) finite subgroup D(9,1,1;2,1,1) Bela Bauer and Claire Levaillant 2012-34 Positively curved metrics on symmetric spaces with large symmetry rank Lee Kennard 2012-33 Two-sphere partition functions and Gromov-Witten invariants Hans Jockers, Vijay Kumar, Joshua M. Lapan, David R. Morrison and Mauricio Romo 2012-32 Linear L-positive sets and their polar subspaces Stephen Simons 2012-31 New results on q-positivity Y. García Ramos, J. E. Martínez-Legaz and Stephen Simons 2012-30 The asymmetric sandwich theorem Stephen Simons 2012-29 Nonreflexive Banach SSD spaces Stephen Simons 2012-28 Quadrivariate existence theorems and strong representability Stephen Simons 2012-27 F-Theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds David R. Morrison and Daniel S. Park 2012-26 Principal graph stability and the jellyfish algorithm Stephen Bigelow and David Penneys 2012-25 A diagrammatic Alexander invariant of tangles Stephen Bigelow 2012-24 Alexander representation of tangles Stephen Bigelow, Alessia Cattabriga and Vincent Florens 2012-23 On volume growth of gradient steady Ricci solitons Guofang Wei and Peng Wu 2012-22 A 3-Manifold with no Real Projective Structure Daryl Cooper and William Goldman 2012-21 Proposed Property 2R counterexamples classified Martin Scharlemann 2012-20 A Diagrammatic Multivariate Alexander Invariant of Tangles K. Grace Kennedy 2012-19 New methods for determining speciality of linear systems based at fat points in Pn Stepan Paul 2012-18 High Distance Bridge Surfaces Ryan Blair, Maggy Tomova and Michael Yoshizawa 2012-17 Nonabelian 2D Gauge Theories for Determinantal Calabi--Yau Varieties Hans Jockers, Vijay Kumar, Joshua M. Lapan, David R. Morrison, and Mauricio Romo 2012-16 Conservative Subgroup Separability For Surfaces With Boundary Mark D. Baker and Daryl Cooper 2012-15 Conifold transitions in M-theory on Calabi--Yau fourfolds with background fluxes Kenneth Intriligator, Hans Jockers, Peter Mayr, David R. Morrison, M. Ronen Plesser 2012-14 Toric bases for 6D F-theory models David R. Morrison and Washington Taylor 2012-13 On Zagier's conjecture for L(E,2): a number field example Jeffrey Stopple 2012-12 Weak Paveability and the Kadison-Singer Problem Charles A. Akemann, Joel Anderson, Betul Tanbay 2012-11 Tangles of type En and a reducibility criterion for the Cohen-Wales representation of the Artin group of type E6 Claire Levaillant 2012-10 Classification of the invariant subspaces of the Cohen-Wales representation of the Artin group of type Dn Claire Levaillant 2012-09 Reducibility of the Cohen-Wales representation of the Artin group of type Dn Claire Levaillant 2012-08 Classification of the invariant subspaces of the Lawrence-Krammer representation Claire Levaillant 2012-07 A Theorem of Paley-Wiener Type for Schrödinger Evolutions C. E. Kenig, G. Ponce and L. Vega 2012-06 Lower Bounds for Non-Trivial Traveling Wave Solutions of Equations of KdV Type C. E. Kenig, G. Ponce and L. Vega 2012-05 The IVP for the dispersion generalized Benjamin-Ono equation in weighted Sobolev spaces G. Fonseca, G. Ponce and F. Linares 2012-04 Uniqueness Properties of Solutions to Schrödinger Equations L. Escauriaza, C. E. Kenig, G. Ponce and L. Vega 2012-03 The IVP for the Benjamin-Ono equation in weighted Sobolev spaces II G. Fonseca, G. Ponce and F. Linares 2012-02 Noetherian Hopf algebras K. R. Goodearl 2012-01 Classifying bases for 6D F-theory models David R Morrison and Washington Taylor

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## 2011

 2011-22 Social Influence Network Theory: A Sociological Examination of Small Group Dynamics Noah E. Friedkin and Eugene C. Johnsen 2011-21 Characteristics of Shape and Knotting in Ideal Rings Laura Zirbel, Kenneth C. Millett 2011-20 Variational Formulas for the Green Function Charles Z Martin 2011-19 Elementary Deuring-Heilbronn Phenomenon Jeffrey Stopple 2011-18 A remark on weighted Bergman kernels on orbifolds Xianzhe Dai, Kefeng Liu, Xiaonan Ma 2011-17 Irreducible components of module varieties: projective equations and rationality B. Huisgen-Zimmermann, K.R. Goodearl 2011-16 LU decomposition of totally nonnegative matrices K R Goodearl, T H Lenagan 2011-15 The Alexander and Jones Polynomials Through Representations of Rook Algebras Stephen Bigelow, Eric Ramos, Ren Yi 2011-14 On Convex Projective Manifolds and Cusps Daryl Cooper, Darren Long, Stephan Tillmann 2011-13 Dehn filling and the geometry of unknotting tunnels Daryl Cooper, David Futer, Jessica S. Purcell 2011-12 Repulsive behavior in an exceptional family Jeffrey Stopple 2011-11 Generating the genus g+1 Goeritz group of a genus g handlebody Martin Scharlemann 2011-10 Matter and singularities David R. Morrison, Washington Taylor 2011-09 Tate's algorithm and F-theory Sheldon Katz, David R. Morrison, Sakura Schäfer-Nameki, James Sully 2011-08 Anomalies and the Euler characteristic of elliptic Calabi-Yau threefolds Antonella Grassi, David R. Morrison 2011-07 On Potential Function of Gradient Steady Ricci Solitons Peng Wu 2011-06 The FRT-Construction via Quantum Affine Algebras and Smash Products Garrett Johnson, Chris Nowlin 2011-05 Geometric Semigroup Theory Jon McCammond, John Rhodes, Benjamin Steinberg 2011-04 Strata of prime ideals of De Concini-Kac-Procesi algebras and Poisson geometry Milen Yakimov 2011-03 Fibered knots and potential counterexamples to the Property 2R and Slice-Ribbon Conjectures Robert E. Gompf, Martin Scharlemann, Abigail Thompson 2011-02 C*-algebras of separated graphs P. Ara, K. R. Goodearl 2011-01 The Non-Linear Schrödinger Equation with a periodic {\bf{$\delta$}}--interaction Jaime Angulo, Gustavo Ponce

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## 2010

 2010-29 Bumpy Riemannian metrics and closed parametrized minimal surfaces in Riemannian manifolds John Douglas Moore 2010-28 A study of the entanglement in systems with periodic boundary conditions E. Panagiotou, C. Tzoumanekas, S. Lambropoulou, K. C. Millett, D. N. Theodorou 2010-27 Borcea's variance conjectures on the critical points of polynomials Dmitry Khavinson, Rajesh Pereira, Mihai Putinar, Edward B. Saff, Serguei Shimorin 2010-26 On the persistence properties of solutions of nonlinear dispersive equations in weighted Sobolev spaces Joules Nahas, Gustavo Ponce 2010-25 Unique Continuation for Schrödinger Evolutions, with applications to profiles of concentration and traveling waves L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega 2010-24 Stochastic Eulerian Lagrangian Methods for Fluid-Structure Interactions with Thermal Fluctuations Paul J. Atzberger 2010-23 Bounding reflection length in an affine Coxeter group Jon McCammond, T. Kyle Petersen 2010-22 Primitive ideals in quantum SL(3) and GL(3) K R Goodearl, T H Lenagan 2010-21 A Brezis-Browder theorem for SSDB spaces Stephen Simons 2010-20 The Kadison-Singer problem for the direct sum of matrix algebras Charles Akemann (UCSB), Joel Anderson (PennState) and Betul Tanbay (Bogazici) 2010-19 Global aspects of the space of 6D N = 1 supergravities Vijay Kumar, David R. Morrison, Washington Taylor 2010-18 Vortex Counting and Lagrangian 3-manifolds Tudor Dimofte, Sergei Gukov, Lotte Hollands 2010-17 Convexity criteria and uniqueness of absolutely minimizing functions Scott N. Armstrong, Michael G. Crandall, Vesa Julin, Charles K. Smart 2010-16 The Problem of Two Sticks Luis A. Caffarelli, Michael G. Crandall 2010-15 The Hardy Uncertainty Principle Revisited M. Cowling, L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega 2010-14 Quivers from Matrix Factorizations Paul S. Aspinwall, David R. Morrison 2010-13 The IVP for the Benjamin-Ono equation in weighted Sobolev spaces German Fonseca and Gustavo Ponce 2010-12 Leavitt path algebras of separated graphs P. Ara and K. R. Goodearl 2010-11 On translation invariant symmetric polynomials and Haldane's conjecture Jesse Liptrap 2010-10 Generalized Tambara-Yamagami categories Jesse Liptrap 2010-09 Geometries, non-geometries, and fluxes Jock McOrist, David R. Morrison, Savdeep Sethi 2010-08 Physical Knot Theory: An Introduction to the Study of the Influence of Knotting on the Spatial Characteristics of Polymers Kenneth C. Millett 2010-07 Quantum Field Theory and the Volume Conjecture Tudor Dimofte, Sergei Gukov 2010-06 Spatially Adaptive Stochastic Multigrid Methods for Fluid-Structure Systems with Thermal Fluctuations Paul J. Atzberger 2010-05 Analysis of Selection Approaches for Aptamer Molecular Libraries Joe F. Rudzinski, Hyongsok T. Soh, Paul J. Atzberger 2010-04 Stochastic reduction method for biological chemical kinetics using time-scale separation Chetan D. Pahlajani, Mustafa Khammash, and Paul J. Atzberger 2010-03 Berge's distance 3 pairs of genus 2 Heegaard splittings Martin Scharlemann 2010-02 On the structure of supersymmetric T3 fibrations David R. Morrison 2010-01 SSDB spaces and maximal monotonicity Stephen Simons

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## 2008

 2008-40 Non-simple purely infinite rings Gonzalo Aranda Pino, Ken Goodearl, Francesc Perera, and Mercedes Siles Molina 2008-39 THE FUNDAMENTAL GAP CONJECTURE FOR POLYGONAL DOMAINS ZHIQIN LU AND JULIE ROWLETT 2008-38 DYNAMICS OF ASYMPTOTICALLY HYPERBOLIC MANIFOLDS J. M. ROWLETT 2008-37 Energy splitting for solutions of multi-dimensional isotropic symmetric hyperbolic systems. Thomas C. Sideris 2008-36 Semiclassical limits of quantized coordinate rings K. R. Goodearl 2008-35 Knots, Slipknots, and Ephemeral Knots in Random Walks and Equilateral Polygons Kenneth C. Millett 2008-34 The noncommutative geometry of the Yp,q quivers Charlie Beil 2008-33 Geometric aspects of dibaryon operators Charlie Beil, David Berenstein 2008-32 Shapes of Knotted Cyclic Polymers Eric J. Rawdon, John C. Kern, Michael Piatek, Patrick Plunkett, Andrzej Stasiak, and Kenneth C. Millett 2008-31 Lower bounds for the principal genus of definite binary quadratic forms Kimberly Hopkins, Jeffrey Stopple 2008-30 On Commutativity of Semiperiodic Rings Howard E. Bell and Adil Yaqub 2008-29 Generalized J-Rings and Commutativity Hazar Abu-Khuzam and Adil Yaqub 2008-28 Branes and Quantization Sergei Gukov, Edward Witten 2008-27 The Effect of Knotting on the Shape of Polymers Eric J. Rawdon, John C. Kern, Michael Piatek, Patrick Plunkett, Andrzej Stasiak, and Kenneth C. Millett 2008-26 SO(3)-Donaldson invariants of CP2 and Mock Theta Functions Andreas Malmendier and Ken Ono 2008-25 Dynamics Groups of Asynchronous Cellular Automata Matthew Macauley, Jon McCammond, and Henning S. Mortveit 2008-24 A Novel Proof of the Heine-Borel Theorem Matthew Macauley, Brian Rabern, and Landon Rabern 2008-23 Surgery on a knot in (Surface x I) Martin Scharlemann and Abby Thompson 2008-22 A new look at sums of squares Larry J. Gerstein 2008-21 Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity Matthias R. Gaberdiel, Sergei Gukov, Christoph A. Keller, Gregory W. Moore, Hirosi Ooguri 2008-20 Rigidity of Quasi-Einstein Metrics Jeffrey Case, Yujen Shu, Guofang Wei 2008-19 The Zieschang Gedenkschrift Michel Boileau, Martin Scharlemann, Richard Weidmann (editors) 2008-18 Rigid Surface Operators Sergei Gukov, Edward Witten 2008-17 A new proof of the maximal monotonicity of subdifferentials Stephen Simons 2008-16 From Hahn-Banach to monotonicity (table of contents and introduction) Stephen Simons 2008-15 LERF and the Lubotzky-Sarnak Conjecture M. Lackenby, D. D. Long and A. W. Reid 2008-14 Solution to the Burnside Problem Seymour Bachmuth 2008-13 Parameter Collapse due to the Zeros in the Inverse Condition R. Spjut 2008-12 Equivalences on Acyclic Orientations Matthew Macauley and Henning S. Mortveit 2008-11 The quadratic character experiment Jeffrey Stopple 2008-10 The real loci of Calogero-Moser spaces, representations of rational Cherednik algebras and the Shapiro conjecture Iain Gordon, Emil Horozov, and Milen Yakimov 2008-09 Modular classes of regular twisted Poisson structures on Lie algebroids Yvette Kosmann-Schwarzbach and Milen Yakimov 2008-08 The signature of the Seiberg-Witten surface Andreas Malmendier 2008-07 Locational Market Power in Network Constrained Markets Karla Atkins, Jiangzhuo Chen, V.S. Anil Kumar, Matthew Macauley, Achla Marathe 2008-06 A proof of the Gordon Conjecture Ruifeng Qiu and Martin Scharlemann 2008-05 Turbulent Rivers Bjorn Birnir 2008-04 Turbulence of a Unidirectional Flow Bjorn Birnir 2008-03 A Model for Aperiodicity in Earthquakes Brittany Erickson, Bjorn Birnir, and Daniel Lavallée 2008-02 Discrete and continuous models of the dynamics of pelagic fish: application to the capelin Alethea Barbaro, Kirk Taylor, Peterson F. Trethewey, Lamia Youseff, and Bjorn Birnir 2008-01 Scaling Behavior and Equilibrium Lengths of Knotted Polymers Eric Rawdon, Akos Dobay, John C. Kern, Kenneth C. Millett, Michael Piatek, Patrick Plunkett, Andrzej Stasiak

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## 2007

 2007-39 Leavitt path algebras and direct limits K. R. Goodearl 2007-38 On Enumeration of Conjugacy Classes of Coxeter Elements Matthew Macauley, Henning S. Mortveit 2007-37 Entropy Functionals, Sobolev Inequalities and κ-Noncollapsing Estimates along the Ricci Flow Rugang Ye 2007-36 Sobolev Inequalities, Riesz Transforms and the Ricci Flow Rugang Ye 2007-35 The Log Entropy Functional Along the Ricci Flow Rugang Ye 2007-34 The logarithmic Sobolev inequality along the Ricci flow: the case λ0(g0)=0 Rugang Ye 2007-33 The logarithmic Sobolev inequality along the Ricci flow in dimension 2 Rugang Ye 2007-32 The logarithmic Sobolev inequality along the Ricci flow Rugang Ye 2007-31 Theoretical Framework for Microscopic Osmotic Phenomena Paul J. Atzberger and Peter R. Kramer 2007-30 A Stochastic Immersed Boundary Method for Fluid-Structure Dynamics at Microscopic Length Scales Atzberger, P.J., Kramer, P.R., and Peskin, C.S. 2007-29 On Generalized Periodic-like Rings Howard E. Bell and Adil Yaqub 2007-28 Spectral Geometry and Asymptotically Conic Convergence Julie Marie Rowlett 2007-27 Boring split links and unknots Scott Taylor 2007-26 Finding fibre faces in finite covers D. D. Long and A. W. Reid 2007-25 Meridional Almost Normal Surfaces in Knot Complements Robin T Wilson 2007-24 Polynomial optimization on odd dimensional spheres John P. d'Angelo and Mihai Putinar 2007-23 D-branes and Normal Functions David R. Morrison and Johannes Walcher 2007-22 Cycle Equivalence of Graph Dynamical Systems Matthew Macauley and Henning S. Mortveit 2007-21 A Generalization of Boolean Rings Adil Yaqub 2007-20 Quadrature domains and polarizable twistor D-modules Gabriela Putinar 2007-19 A Note On The Kadison-Singer Problem Charles A. Akemann, Betul Tanbay, and Ali Ulger 2007-18 Semiclassical Limits of Quantum Affine Spaces K. R. Goodearl and E. S. Letzter 2007-17 The Dixmier-Moeglin equivalence and a Gel'fand-Kirillov problem for Poisson polynomial algebras K. R. Goodearl and S. Launois 2007-16 Order Independence in Asynchronous Cellular Automata Matthew Macauley, Jon McCammond, and Henning S. Mortveit 2007-15 Comparison Geometry for the Bakry-Emery Ricci Tensor Guofang Wei and Will Wylie 2007-14 Pure states on free group C*-algebras Charles Akemann and Nik Weaver 2007-13 Classically normal pure states Charles Akemann and Nik Weaver 2007-12 The Thurston norm via Normal Surfaces Daryl Cooper and Stephan Tillmann 2007-11 Surface Operators and Knot Homologies Sergei Gukov 2007-10 Link Homologies and the Refined Topological Vertex Sergei Gukov, Amer Iqbal, Can Kozcaz, and Cumrun Vafa 2007-09 The Cut-off Covering Spectrum Christina Sormani and Guofang Wei 2007-08 Dimensional Duality Daniel Green, Albion Lawrence, John McGreevy, David R. Morrison, and Eva Silverstein 2007-07 Measures with zeros in their inverse moment matrix John W. Helton, Jean-Bernard Lasserre, Mihai Putinar 2007-06 Positive polynomials on projective limits of real algebraic varieties Salma Kuhlmann and Mihai Putinar 2007-05 A Neumann Type Maximum Principle for the Laplace Operator on Compact Riemannian Manifolds Guofang Wei aqnd Rugang Ye 2007-04 Heegaard genus and Property τ for hyperbolic 3-manifolds D. D. Long, A. Lubotzky, and A. W. Reid 2007-03 An ODE Model of the Motion of Pelagic Fish Bjorn Birnir 2007-02 Derivation of the Viscous Moore-Greitzer Equation for Aeroengine Flow Bjorn Birnir, Songming Hou, and Niklas Wellander 2007-01 Total Curvature and Total Torsion of Knotted Polymers Patrick Plunkett, Michael Piatek, Akos Dobay, John C. Kern, Kenneth C. Millett, Andrzej Stasiak, and Eric Rawdon

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## 2006

 2006-55 On the l-Function and the Reduced volume of Perelman II Rugang Ye 2006-54 On the l-Function and the Reduced Volume of Perelman I Rugang Ye 2006-53 Shocks in the Evolution of an Eroding Channel Edward Welsh , Bjorn Birnir, and Andrea L. Bertozzi 2006-52 Gauge Theory, Ramification, And The Geometric Langlands Program Sergei Gukov, Edward Witten 2006-51 Manifolds with A Lower Ricci Curvature Bound Guofang Wei 2006-50 Hitchin-Thorpe Inequality for Noncompact Einstein 4-Manifolds Xianzhe Dai and Guofang Wei 2006-49 Reconstruction of algebraic domains from dynamic moments Gabriela Putinar and Mihai Putinar 2006-48 Asymptotics for extremal moments and monodromy of complex singularities Gabriela Putinar 2006-47 Selected topics on quadrature domains Bjorn Gustafsson and Mihai Putinar 2006-46 Semi-local micro-differential theory and computations of moments of semi-algebraic domains Gabriela Putinar 2006-45 Global existence for 3D incompressible isotropic elastodynamics T. Sideris and B. Thomases 2006-44 Dispersive estimates for solutions of multi-dimensional isotropic symmetric hyperbolic systems T. Sideris 2006-43 Local energy decay for solutions of multi-dimensional isotropic symmetric hyperbolic systems T. Sideris and B. Thomases 2006-42 Positive polynomials in scalar and matrix variables, the spectral theorem and optimization J.W.Helton and M. Putinar 2006-41 Minimal genus problem: New approach Mohamed Aït Nouh 2006-40 Geometric types of twisted knots Mohamed Aït-Nouh, Daniel Matignon and Kimihiko Motegi 2006-39 Twisted unknots Mohamed Aït Nouh, Daniel Matignon, Kimihiko Motegi 2006-38 Obtaining graph knots by twisting unknots Mohamed Aït Nouh, Daniel Matignon, Kimihiko Motegi 2006-37 On the virtual Betti numbers of arithmetic hyperbolic 3-manifolds D. Cooper, D. D. Long and A. W. Reid 2006-36 Geodesics and commensurability classes of arithmetic hyperbolic 3-manifolds T. Chinburg, E. Hamilton, D. D. Long and A. W. Reid 2006-35 Existence of minimal models for varieties of log general type Caucher Birkar, Paolo Cascini, Christopher D. Hacon, James McKernan 2006-34 Not all pure states on B(H) are diagonalizable Charles Akemann, Nik Weaver 2006-33 D-branes at Singularities, Compactification, and Hypercharge Matthew Buican, Dmitry Malyshev, David R. Morrison, Herman Verlinde, Martijn Wijnholt 2006-32 Persistence Properties and Unique Continuation of solutions of the Camassa-Holm equation A. Alexandrou Himonas, Gerard Misiolek, Gustavo Ponce, Yong Zhou 2006-31 On uniqueness properties of solutions of the k-generalized KdV equations Luis Escauriaza, Carlos E. Kenig, Gustavo Ponce, Luis Vega 2006-30 Global weak solutions of the periodic Hunter-Saxton equation Jonatan Lenells 2006-29 A Practical Splitting Method for Stiff SDEs with Applications to Problems with Small Noise Hector D. Ceniceros and George O. Mohler 2006-28 Derivation of the Aronsson equation for C1 Hamiltonians Michael G. Crandall, Changyou Wang, and Yifeng Yu 2006-27 Uniqueness of ∞-harmonic functions and the eikonal equation Michael G. Crandall, Gunnar Gunnarsson, and Peiyong Wang 2006-26 A visit with the ∞-Laplace equation Michael G. Crandall 2006-25 Group orbits and regular partitions of Poisson manifolds Jiang-Hua Lu and Milen Yakimov 2006-24 Uniqueness of bridge surfaces for 2-bridge knots Martin Scharlemann and Maggy Tomova 2006-23 Solvable matrix groups & the Burnside problem Seymour Bachmuth 2006-22 A Deodhar type stratification on the double flag variety Ben Webster and Milen Yakimov 2006-21 Growth of energy in minimal surface bubbles John Douglas Moore 2006-20 Nondegeneracy of coverings of minimal tori and Klein bottles in Riemannian manifolds John Douglas Moore 2006-19 Self-intersections of closed parametrized minimal surface in generic Riemannian manifolds John Douglas Moore 2006-18 Bumpy metrics and closed parametrized minimal surfaces in Riemannian manifolds John Douglas Moore 2006-17 Homology and Homfly Stephen Bigelow 2006-16 Alternating Augmentations of Links Ryan Blair 2006-15 Conway products and links with multiple bridge surfaces Martin Scharlemann and Maggy Tomova 2006-14 Partitions of the wonderful group compactification Jiang-Hua Lu and Milen Yakimov 2006-13 Three-manifolds, virtual homology, and group determinants Daryl Cooper and Genevieve S. Walsh 2006-12 Refilling meridians in a genus 2 handlebody complement Martin Scharlemann 2006-11 On non-compact Heegaard splittings Scott Taylor 2006-10 Generalized Property R and the Schoenflies Conjecture Martin Scharlemann 2006-9 On the existence of flips Christopher Hacon and James McKernan 2006-8 Covering spaces of arithmetic 3-orbifolds Marc Lackenby, Darren D. Long and Alan W. Reid 2006-7 An introduction to Garside structures Jon McCammond 2006-6 Non-commutative Groebner bases for the commutator ideal Susan Hermiller and Jon McCammond 2006-5 The integral homology of the group of loops Craig Jensen, Jon McCammond and John Meier 2006-4 On hermitian polynomial optimization Mihai Putinar 2006-3 Remarks on restriction eigenfunctions in Cn Gabriela Putinar and Mihai Putinar 2006-2 On Poincare's variational problem in potential theory Dmitry Khavinson, Mihai Putinar and Harold S. Shapiro 2006-1 Computing varieties of representations of hyperbolic 3-manifolds into SL(4,ℜ) D. Cooper, D. Long and M. Thistlethwaite

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## 2005

 2005-32 Curvature Estimates for the Ricci Flow II Rugang Ye 2005-31 Curvature Estimates for the Ricci Flow I Rugang Ye 2005-30 LC-functions and maximal monotonicity Stephen Simons 2005-29 A group without big tiles Azer Akhmedov 2005-28 Positive sets and monotone sets Stephen Simons 2005-27 The Hahn-Banach-Lagrange theorem Stephen Simons 2005-26 The Fitzpatrick function and nonreflexive spaces Stephen Simons 2005-25 Dualized and scaled Fitzpatrick functions Stephen Simons 2005-24 Fenchel duality, Fitzpatrick functions and the Kirszbraun--Valentine extension theorem Simeon Reich and Stephen Simons 2005-23 Fitzpatrick functions and maximal monotonicity Stephen Simons and Constantin Zalinescu 2005-22 A Dixmier-Moeglin equivalence for Poisson algebras with torus actions K. R. Goodearl 2005-21 Homological properties of quantized coordinate rings of semisimple groups K. R. Goodearl and J. J. Zhang 2005-20 Global existence for 3D incompressible isotropic elastodynamics Tom Sideris and Becca Thomases 2005-19 Local energy decay for solutions of multi-dimensional isotropic symmetric hyperbolic systems Tom Sideris and Becca Thomases 2005-18 Spectral scales and linear pencils Christopher M. Pavone 2005-17 On multivariable Fejer inequalities Linda J. Patton and Mihai Putinar 2005-16 Poisson structures on affine spaces and flag varieties. II. General case K. R. Goodearl and M. Yakimov 2005-15 Polygonal knot space near ropelength-minimized knots Kenneth C. Millett, Michael Piatek, and Eric J. Rawdon 2005-14 The Closed-Point Zariski Topology for Irreducible Representations K. R. Goodearl and E. S. Letzter 2005-13 A Combination Theorem for Convex Hyperbolic Manifolds, with Applications to Surfaces in 3-Manifolds Mark Baker and Daryl Cooper 2005-12 Notes on the Deuring-Heilbronn Phenomenon Jeffrey Stopple 2005-11 Variational principles for symmetric bilinear forms Jeffrey Danciger, Stephan Ramon Garcia and Mihai Putinar 2005-10 Braid groups and Iwahori-Hecke algebras Stephen Bigelow 2005-9 Fast LU decomposition for operators with hierarchically semiseparable structure W. Lyons, S. Chandrasekaran and M. Gu 2005-8 Conjugation and Clark Operators Stephan Ramon Garcia 2005-7 Commutation relations for arbitrary quantum minors K. R. Goodearl 2005-6 Lecture notes on generalized Heegaard splittings Toshio Saito, Martin Scharlemann and Jennifer Schultens 2005-5 Fast Algorithms for Spectral Collocation with Non-Periodic Boundary Conditions W. Lyons, H. D. Ceniceros, S. Chandrasekaran and M. Gu 2005-4 Universal Characteristics of Polygonal Knot Probabilities Kenneth C. Millett and Eric J. Rawdon 2005-3 Poisson structures on affine spaces and flag varieties. I. Matrix affine Poisson space K. A. Brown, K. R. Goodearl, M. Yakimov 2005-2 Complex Symmetric Operators and Applications II Stephan Ramon Garcia and Mihai Putinar 2005-1 Norm Estimates of Complex Symmetric Operators Applied to Quantum Systems Stephan Ramon Garcia, Emil Prodan and Mihai Putinar

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## 2004

 2004-38 Alternate Heegaard genus bounds distance Martin Scharlemann and Maggy Tomova 2004-37 Describing the Universal Cover of a Compact Limit John Ennis and Guofang Wei 2004-36 Triangular Poisson structures on Lie groups and symplectic reduction Timothy J. Hodges and Milen Yakimov 2004-35 Virtually Haken fillings and semi-bundles Daryl Cooper and Genevieve Walsh 2004-34 Tying down open knots: a statistical method for identifying open knots with applications to proteins Kenneth C. Millett and Benjamin M Sheldon 2004-33 Extension of Spectral Scales to Unbounded Operators I Michael D. Wills 2004-32 Hausdorff Distance and Convex Sets Michael D. Wills 2004-31 Semilattices of groups and inductive limits of Cuntz algebras K. R. Goodearl, E. Pardo, F. Wehrung 2004-30 On Graph Associations Landon W. Rabern 2004-29 Proximity in the curve complex: boundary reduction and bicompressible surfaces Martin Scharlemann 2004-28 The Euler characteristic of the Whitehead automorphism group of a free product C. Jensen, Jon McCammond, and J. Meier 2004-27 On a set of double cosets in reductive algebraic groups Jiang-Hua Lu and Milen Yakimov 2004-26 The prolate spheroidal phenomenon as a consequence of bispectrality F. Alberto Grünbaum and Milen Yakimov 2004-25 Affine Jacquet functors and Harish-Chandra categories Milen Yakimov 2004-24 Categories of modules over an affine Kac--Moody algebra and the Kazhdan--Lusztig tensor product Milen Yakimov 2004-23 Homological representations of the Iwahori-Hecke algebra Stephen Bigelow 2004-22 The Backward Shift on Dirichlet-type Spaces Stephan Ramon Garcia 2004-21 A Note on Positive Energy Theorem for Spaces with Asymptotic SUSY Compactification Xianzhe Dai 2004-20 A Fast and Stable Adaptive Solver for Hierarchically Semi-separable Representations S. Chandrasekaran, M. Gu, and W. Lyons 2004-19 Notes on 2-Dimensional kappa-Solutions Rick Ye 2004-18 Notes on the Reduced Volume and Asymptotic Ricci Solitons of kappa Solutions Rick Ye 2004-17 Notes on generalized lemniscates Mihai Putinar 2004-16 Global existence for 3d incompressible and isotropic elastodynamics via the incompressible limit T. Sideris and B. Thomases 2004-15 On the asymptotic expansion of Bergman kernel Xianzhe Dai, Kefeng Liu, and Xiaonan Ma 2004-14 A new version of the Hahn-Banach theorem (continued) Stephen Simons 2004-13 Hahn-Banach theorems and maximal monotonicity Stephen Simons 2004-12 A new proof for Rockafellar's characterization of maximal monotone operators Stephen Simons and Constantin Zalinescu 2004-11 Compressing thin spheres in the complement of a link Maggy Tomova 2004-10 A Characterization of Short Curves of a Teichmuller Geodesic Kasra Rafi 2004-9 Constructing non-positively curved spaces and groups Jon McCammond 2004-8 The length spectrum of a compact constant curvature complex is discrete Noel Brady and Jon McCammond 2004-7 Positivity aspects of the Fantappie transform John McCarthy and Mihai Putinar 2004-6 On the additivity of knot width Martin Scharlemann and Abigail Thompson 2004-5 A *-closed subalgebra of the Smirnov class Stephan Ramon Garcia 2004-4 The complete dimension theory of partially ordered systems with equivalence and orthogonality K. R. Goodearl and F. Wehrung 2004-3 Complex symmetric operators and applications Stephan Ramon Garcia and Mihai Putinar 2004-2 Conjugation, the Backward Shift, and Toeplitz Kernels Stephan Ramon Garcia 2004-1 Large embedded balls and Heegaard genus in negative curvature David Bachman, Daryl Cooper and Matthew E. White

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## 2003

 2003-34 Consistency of a counterexample to Naimark's problem Charles Akemann and Nik Weaver 2003-33 Real outer functions Stephan Ramon Garcia and Donald Sarason 2003-32 On the Stability of Riemannian Manifold with Parallel Spinors Xianzhe Dai, Xiaodong Wang, Guofang Wei 2003-31 Euler, the symmetric group, and the Riemann zeta function Jeffrey Stopple 2003-30 Simplicity of noncommutative Dedekind domains K.R. Goodearl and J.T. Stafford 2003-29 Knot mutation: 4-genus of knots and algebraic concordance Se-Goo Kim and Charles Livingston 2003-28 Non-negative hereditary polynomials in a free *-algebra J. William Helton, Scott A. McCullough, Mihai Putinar 2003-27 Stable rank of corner rings P. Ara and K. R. Goodearl 2003-26 Linear analysis of quadrature domains.IV Bjorn Gustafsson and Mihai Putinar 2003-25 Matrix representations for positive noncommutative polynomials J.William Helton, Scott A. McCullough and Mihai Putinar 2003-24 Locally quasiconvex small-cancellation groups Jon McCammond and Dani Wise 2003-23 A Positive Mass Theorem for Spaces with Asymptotic SUSY Compactification Xianzhe Dai 2003-22 Windmills and extreme 2-cells Jon McCammond and Dani Wise 2003-21 The hypertree poset and the l2-Betti numbers of the motion group of the trivial link Jon McCammond and John Meier 2003-20 Noncrossing partitions in surprising locations Jon McCammond 2003-19 Thin position in the theory of classical knots Martin Scharlemann 2003-18 Radical Endomorphisms of Decomposable Modules Julius M. Zelmanowitz 2003-17 A Tour of the Theory of Absolutely Minimizing Functions G. Aronsson, M. Crandall and P. Juutinen 2003-16 Fractional skew monoid rings P. Ara, M.A. Gonzalez-Barroso, K.R. Goodearl, and E. Pardo 2003-15 Surfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds Martin Scharlemann and Abigail Thompson 2003-14 Automorphisms of the 3-sphere preserving a genus two Heegaard splitting Martin Scharlemann 2003-13 Branch points and bumpy metrics for parametrized minimal spheres and tori John Douglas Moore 2003-12 Odlyzko-Schonage algorithm in conductor aspect Jeffrey Stopple 2003-11 A renormalized Riesz potential and applications Mihai Putinar 2003-10 3-manifolds with planar presentations and the width of satellite knots Martin Scharlemann and Jennifer Schultens 2003-9 Study of long-time dynamics of a viscous vortex sheet with a fully adaptive non-stiff method Hector D. Ceniceros and Alexandre M. Roma 2003-8 Quantized coinvariants at transcendental q K. R. Goodearl and T. H. Lenagan 2003-7 On unique continuation of solutions to the generalized KdV equations Carlos E. Kenig, Gustavo Ponce, and Luis Vega 2003-6 On the initial value problem for the one dimensional quasilinear Schrodinger equation Wee-Keong Lim and Gustavo Ponce 2003-5 On unique continuation for the nonlinear Schrodinger equations Carlos E. Kenig, Gustavo Ponce, and Luis Vega 2003-4 A non-commutative Positivstellensatz on isometries John W. Helton, Scott McCullough, Mihai Putinar 2003-3 Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping T. Sideris, B. Thomases, and D. Wang 2003-2 Negligible Subsets in the space of Homeomorphisms Raymond Y Wong 2003-1 A Hilbert space approach to bounded analytic extension in the ball Daniel Alpay, Mihai Putinar and Victor Vinnikov

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## 2002

 2002-18 Surface subgroups of Coxeter and Artin groups C. McA. Gordon, D. D. Long and A. W. Reid 2002-17 On braided tensor categories of type BCD Imre Tuba and Hans Wenzl 2002-16 Quantized coordinate rings and related noetherian algebras K. R. Goodearl 2002-15 Definite quadratic forms over Fq[x] Larry J. Gerstein 2002-14 Non-commutative sums of squares Scott McCullough and Mihai Putinar 2002-13 Privilege on strictly convex domains Mihai Putinar and Sebastian Sandberg 2002-12 Problems in the geometry of submanifolds John Douglas Moore 2002-11 Computation of Multiphase Systems with Phase Field Models V. E. Badalassi, H. D. Ceniceros and S. Banerjee 2002-10 Topological Reconfiguration in Expanding Hele-Shaw Flow H. D. Ceniceros and J. M. Villalobos 2002-9 The Effects of Surfactants on the Evolution and Formation of Capillary Waves Hector D. Ceniceros 2002-8 A skew normal dilation on the numerical range of an operator Mihai Putinar and Sebastian Sandberg 2002-7 The Spectral Scale and the Numerical Range Charles A. Akemann and Joel Anderson 2002-6 Universal Covers for Hausdorff Limits of Noncompact Spaces Christina Sormani and Guofang Wei 2002-5 Period three actions on the three-sphere Joseph Maher and J. Hyam Rubinstein 2002-4 A new minimax theorem and a perturbed James's theorem Manuel Ruiz Galan and Stephen Simons 2002-3 Multi-Model Cantor Sets Elizabeth Cockerill 2002-2 On Algebraic Hyperbolicity of Log Varieties Xi Chen 2002-1 A new version of the Hahn-Banach theorem Stephen Simons

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## 2001

 2001-29 Winding-invariant prime ideals in quantum 3 by 3 matrices K. R. Goodearl and T. H. Lenagan 2001-28 The prime and primitive spectra of multiparameter quantum symplectic and euclidean spaces Karen Horton 2001-27 K0 of purely infinite simple regular rings K.R. Goodearl and E. Pardo 2001-26 The homology of string algebras I B. Huisgen-Zimmermann and S.O. Smalo 2001-25 Thinning genus two Heegaard spines in S3 Martin Scharlemann and Abigail Thompson 2001-24 Prime ideals invariant under winding automorphisms in quantum matrices K.R. Goodearl and T.H. Lenagan 2001-23 The exponential transform: a renormalized Riesz potential at critical exponent Bjorn Gustafsson and Mihai Putinar 2001-22 On the Topology of the Character Variety of a Free Group Stuart Bratholdt and Daryl Cooper 2001-21 The Goda-Teragaito Conjecture: an overview Martin Scharlemann 2001-20 On isometric Lagrangian immersions John Douglas Moore and Jean-Marie Morvan 2001-19 Euler Characters and Submanifolds of Constant Positive Curvature John Douglas Moore 2001-18 Solutions of Multidimensional Hyperbolic Systems of Conservation Laws by Square Entropy Condition Satisfying Discontinuous Galerkin Methods Songming Hou and Xu-Dong Liu 2001-17 Metrics of positive Ricci curvature on bundles Igor Belegradek and Guofang Wei 2001-16 Restriction operators, balayage and doubly orthogonal systems of analytic functions Bjørn Gustafsson, Mihai Putinar and Harold S. Shapiro 2001-15 On bounded analytic extension in Cn Joerg Eschmeier and Mihai Putinar 2001-14 A semi-implicit moving mesh method for the focusing nonlinear Schrodinger equation. Hector D. Ceniceros 2001-13 The Spectral Scale and the k-Numerical Range Charles A. Akemann and Joel Anderson 2001-12 Eta Invariant and Conformal Cobordism Xianzhe Dai 2001-11 Excesses, duality gaps and weak compactness Stephen Simons 2001-10 The conjugates, compositions and marginals of convex functions Simon Fitzpatrick and Stephen Simons 2001-9 Automatic convexity Charles Akemann and Nik Weaver 2001-8 Geometric characterizations of some classes of operators in C*-algebras and von Neumann algebras Charles Akemann and Nik Weaver 2001-7 There are no unexpected tunnel number one knots of genus one Martin Scharlemann 2001-6 An index theorem for Toeplitz operators on odd dimensional manifolds with boundary Xianzhe Dai and Weiping Zhang 2001-5 An Investigation of Polygonal Knot Spaces and Ideal Physical Knot Configurations Kenneth C. Millett 2001-4 On Algebraic Hyperbolicity of Log Surfaces Xi Chen 2001-3 A Hopf bifurcation with a strong incommensurate frequency response in quantum wells Adriano A. Batista, Bjorn Birnir and Pablo I.Tamborenea 2001-2 Metrics of positive Ricci curvature on vector bundles over nilmanifolds Igor Belegradek and Guofang Wei 2001-1 Geometry of chain complexes and outer automorphisms under derived equivalence Birge Huisgen-Zimmermann and Manuel Saorin

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## 2000

 2000-36 Five kinds of maximal monotonicity Stephen Simons 2000-35 Basic Dynamical Systems Control of Aeroengine Flow Bjorn Birnir and Hoskuldur A. Hauksson 2000-34 A remark on infinity harmonic functions M. G. Crandall and L. C. Evans 2000-33 Optimal Lipschitz extensions and the infinity Laplacian M. G. Crandall, L. C. Evans, and R. F. Gariepy 2000-32 Heegaard reducing spheres for the 3-sphere Martin Scharlemann 2000-31 A simple proof that rational curves on K3 are nodal Xi Chen 2000-30 On the intersection of two plane curves Xi Chen 2000-29 A geometric spectral theory for n-tuples of self-adjoint operators in a finite von Neumann algebra: II Charles A. Akemann and Joel Anderson 2000-28 Energy, ropelength, and other physical aspects of equilateral knots Kenneth C. Millett and Eric J. Rawdon 2000-27 An efficient dynamically adaptive mesh for potentially singular solutions H. D. Ceniceros and T. Y. Hou 2000-26 Computation of axisymmetric suction flow through porous media in the presence of surface tension H. D. Ceniceros and H. Si 2000-25 A numerical study of the semi-classical limit of the focusing nonlinear Schrodinger equation H. D. Ceniceros and F-R. Tian 2000-24 Stark conjectures for CM curves over number fields Jeffrey Stopple 2000-23 Making Large Lectures Effective: An Effort to Increase Student Success Kenneth C. Millett 2000-22 Unknotting tunnels and Seifert surfaces Martin Scharlemann and Abigail Thompson 2000-21 Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds Thomas C. Sideris and Shu-Yi Tu 2000-20 Reconstructing planar domains from their moments Björn Gustafsson, Chiyu He, Peyman Milanfar and M. Putinar 2000-19 Shape reconstruction from moments: theory, algorithms, and applications Peyman Milanfar, M. Putinar, James Varah, Björn Gustafsson and Gene Golub 2000-18 The Friedrichs operator of a planar domain. II M. Putinar and H.S. Shapiro 2000-17 Root separation on generalized lemniscates G. Putinar and M. Putinar 2000-16 A diagonal Pade approximation in two complex variables M. Putinar 2000-15 A uniqueness criterion in the multivariable moment problem M. Putinar and F.H. Vasilescu 2000-14 Some remarks on spherical isometries J. Eschmeier and M. Putinar 2000-13 On the support of solutions to the g-KdV equation   Carlos E. Kenig, Gustavo Ponce and Luis Vega 2000-12 The scaling of fluvial landscapes B. Birnir, T. R. Smith and G. E. Merchant 2000-11 Nonresonance and Global Existence of Prestressed Nonlinear Elastic Waves  Thomas Sideris 2000-10 Hausdorff Convergence and Universal Covers  Christina Sormani and Guofang Wei 2000-9 Locally Minimal Projections Charles Akemann and Joel Anderson 2000-8 The fundmental group of the double of the figure eight knot is GFERF Darren Long and Alan Reid 2000-7 All flat manifolds are boundaries of hyperbolic orbifolds Darren Long and Alan Reid 2000-6 On subgroup separability in hyperbolic Coxeter groups Darren Long and Alan Reid 2000-5 On the geometric boundaries of hyperbolic 4-manifolds Darren Long and Alan Reid 2000-4 Regularity of projections Revisited Charles Akemann and Søren Eilers 2000-3 Locally Nonconical Convexity Charles Akemann, Glenn C. Shell, Nik Weaver 2000-2 Monte Carlo Explorations of Polygonal Knot Spaces Kenneth C. Millett 2000-1 Teoría de nudos geométricos e isotopía poligonal Jorge Alberto Calvo

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## 1999

 1999-29 Proceedings of the 1998 Kirbyfest edited by Joel Hass and Martin Scharlemann 1999-28 Quantized primitive ideal spaces as quotients of affine algebraic varieties K.R. Goodearl 1999-27 The first fundamental theorem of coinvariant theory for the quantum general linear group K.R. Goodearl, T.H. Lenagan and L. Rigal 1999-26 Levelling an unknotting tunnel  Hiroshi Goda, Martin Scharlemann and Abigail Thompson 1999-25 Essential meridional surfaces for tunnel number one knots Mario Eudave-Muñoz 1999-24 The Bianchi groups are subgroup separable on geometrically finite subgroups. Ian Agol, Darren D. Long and Alan W. Reid. 1999-23 Maximal monotone multifunctions of Brondsted-Rockafellar type Stephen Simons 1999-22 Lp theory for fully nonlinear uniformly parabolic equations M. Crandall, M. Kocan and A. Swiech 1999-21 Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations  M. Crandall, M. Kocan, P. L. Lions and A. Swiech 1999-20 On Fully Nonlinear Uniformly Parabolic Equations  M. Crandall, K. Fok, M. Kocan and A. Swiech 1999-19 The graded version of Goldie's Theorem K. R. Goodearl and J. T. Stafford 1999-18 Stronger maximal monotonicity properties of linear operators Heinz Bauschke and Stephen Simons 1999-17 Geometric Knot Spaces and Polygonal Isotopy Jorge Alberto Calvo 1999-16 The tunnel number of the sum of n knots is at least n. Martin Scharlemann and Jennifer Schultens 1999-15 The Embedding Space of Hexagonal Knots Jorge Alberto Calvo 1999-14 Minimal Edge Piecewise Linear Knots Jorge Alberto Calvo and Kenneth C. Millett 1999-13 Annuli in generalized Heegaard splittings and degeneration of tunnel number Martin Scharlemann and Jennifer Schultens (with an appendix by Andrew Casson) 1999-12 On the pointwise maximum of convex functions  Simon Fitzpatrick and Stephen Simons 1999-11 Analytic Torsion and R-Torsion for Manifolds with Boundary Xianzhe Dai and Hao Fang 1999-10 Equivariant and Bott-type Seiberg-Witten Floer homology: Part II Rugang Ye 1999-9 Equivariant and Bott-type Seiberg-Witten Floer homology: Part I Guofang Wang and Rugang Ye 1999-8 Unbounded linear monotone operators on nonreflexive Banach spaces Robert Phelps and Stephen Simons 1999-7 Minimax theorems  Stephen Simons 1999-6 Techniques for maximal monotonicity  Stephen Simons 1999-5 Minimax and monotonicity  [Table of Contents and introduction for Springer Lecture Notes in Mathematics 1693(1998)] Stephen Simons 1999-4 A Heat Kernel Lower Bound for Integral Ricci Curvature  Xianzhe Dai and Guofang Wei 1999-3 Solving moment problems by dimensional extension  Mihai Putinar and Florian H. Vasilescu 1999-2 The Friedrichs operator of a planar domain  Mihai Putinar and Harold S. Shapiro 1999-1 Virtually embedded boundary slopes Joseph Maher

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## Pre-1999

 P-21 Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds Rugang Ye P-20 On the geometry and topology of manifolds of positive bi-Ricci curvature Ying Shen, Rugang Ye P-19 Controlled Geometry via Smoothing Peter Petersen, Guofang Wei, Rugang Ye P-18 Smoothing Riemannian Metrics with Ricci Curvature Bounds Xianzhe Dai, Guofang Wei, Rugang Ye P-17 Prime ideals in certain quantum determinantal rings Ken Goodearl and T.H. Lenagan P-16 Periodic flat modules, and flat modules for finite groups D. J. Benson and Ken Goodearl P-15 Quantum n-space as a quotient of classical n-space Ken Goodearl and E.S. Letzter P-14 A dilation theory approach to cubature formulas. II Mihai Putinar P-13 Prime spectra of quantized coordinate rings Ken Goodearl P-11 On Weyl spectrum in several variables Mihai Putinar P-10 Crossing changes Martin Scharlemann P-9 The generic local spectrum of any operator is the full spectrum Bebe Prunaru and Mihai Putinar P-8 Genus two Heegaard splittings of orientable 3- manifolds Hyam Rubinstein and Martin Scharlemann P-7 Representations of distributive semilattices by dimension groups, regular rings, C*-algebras, and complemented modular lattices Ken Goodearl and F. Wehrung P-6 Comparing Heegaard and JSJ structures of orientable 3-manifolds Martin Scharlemann and Jennifer Schultens P-5 The structure a solvmanifold's Heegaard splittings Daryl Cooper and Martin Scharlemann P-4 K1 of separative exchange rings and C*-algebras with real rank zero P. Ara, Ken Goodearl, K.C. O'Meara, and R. Raphael P-3 How a strongly irreducible Heegaard splitting intersects a handlebody Matt Jones and Martin Scharlemann P-2 Heegaard splittings of compact 3-manifolds Martin Scharlemann P-1 The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras Ken Goodearl and E.S. Letzter

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