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1. Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces [2018]
 Fishman, Lior, author.
 Providence, RI : American Mathematical Society, [2018]
 Description
 Book — v, 137 pages : illustrations ; 25 cm.
 Summary

 Introduction Gromov hyperbolic metric spaces Basic facts about Diophantine approximation Schmidt's game and McMullen's absolute game Partition structures Proof of Theorem 6.1 (Absolute winning of $\mathrm{BA}_\xi$) Proof of Theorem 7.1 (Generalization of the JarniBesicovitch Theorem) Proof of Theorem 8.1 (Generalization of Khinchin's Theorem) Proof of Theorem 9.3 ($\mathrm{BA}_d$ has full dimension in $\Lambda_{\mathrm r} (G)$) References.
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Shelved by Series title NO.1215  Unknown 
 Anghel, Cristian, 1966 author.
 Providence, RI : American Mathematical Society, [2018]
 Description
 Book — v, 107 pages : illustrations ; 26 cm.
 Summary

 Introduction Acknowledgements Preliminaries Some general results The cases $c_1=4$ and $c_1 = 5$ on ${\mathbb P}^2$ The case $c_1 = 4$, $c_2 = 5, 6$ on ${\mathbb P}^3$ The case $c_1 = 4$, $c_2 = 7$ on ${\mathbb P}^3$ The case $c_1 = 4$, $c_2 = 8$ on ${\mathbb P}^3$ The case $c_1 = 4$, $5 \leq c_2 \leq 8$ on ${\mathbb P}^n$, $n \geq 4$ Appendix A. The case $c_1 = 4$, $c_2 = 8$, $c_3 = 2$ on ${\mathbb P}^3$ Appendix B. The case $c_1 = 4$, $c_2 = 8$, $c_3 = 4$ on ${\mathbb P}^3$ Bibliography.
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Shelved by Series title NO.1209  Unknown 
 Bruggeman, Roelof W., 1944 author.
 Providence, RI : American Mathematical Society, [2018]
 Description
 Book — vii, 167 pages : illustrations ; 26 cm.
 Summary

 Introduction
 Pt.
 1 Cohomology with values in holomorphic functions
 Definitions and notations
 Modules and cocycles
 The image of automorphic forms in cohomology
 Onesided averages
 Pt.
 2 Harmonic Functions
 Harmonic functions and cohomology
 Boundary germs
 Polar harmonic functions
 Pt.
 3 Cohomology with values in analytic boundary germs
 Highest weight spaces of analytic boundary germs
 Tesselation and cohomology
 Boundary germ bohomology and automorphic forms
 Automorphic forms of integral weights at least
 2 and analytic boundary germ cohomology
 Pt.
 4 Miscellaneous
 Isomorphisms between parabolic cohomology groups
 Cocycles and singularities
 Quantum automorphic forms
 Remarks on the literature.
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Shelved by Series title NO.1212  Unknown 
 Chataur, David, author.
 Providence, RI : American Mathematical Society, [2018]
 Description
 Book — viii, 108 pages : illustrations ; 25 cm.
 Summary

 Introduction Simplicial blowup Rational algebraic models Formality and examples Appendix A. Topological setting Bibliography Index.
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Shelved by Series title NO.1214  Unknown 
 Lin, Francesco, author.
 Providence, RI : American Mathematical Society, [2018]
 Description
 Book — v, 162 pages ; 26 cm.
 Summary

 Introduction
 Basic setup
 The analysis of MorseBott singularities
 Floer homology for MorseBott singularities
 Pin(2)monopole Floer homology.
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Shelved by Series title NO.1221  Unknown 
 De Paulo, Naiara V., author.
 Providence, RI : American Mathematical Society, [2018]
 Description
 Book — v, 105 pages : illustrations ; 26 cm.
 Summary

 Introduction
 Proof of the main statement
 Proof of the Proposition 2.1
 Proof of the Proposition 2.2
 Proof of the Proposition 2.8
 Proof of the Proposition 2.9
 Proof of the Proposition 2.10i)
 Proof of the Proposition 2.10ii)
 Proof of the Proposition 2.10iii).
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Shelved by Series title NO.1202  Unknown 
 Hsiao, ChinYu author.
 Providence, RI : American Mathematical Society, [2018]
 Description
 Book — v, 142 pages : illustrations ; 25 cm.
 Summary

 Introduction and statement of the main results More properties of the phase $\varphi (x, y, s)$ Preliminaries Semiclassical $\Box ^{(q)}_{b, k}$ and the characteristic manifold for $\Box ^{(q)}_{b, k}$ The heat equation for the local operatot $\Box ^{(q)}_s$ Semiclassical Hodge decomposition theorems for $\Box ^{(q)}_{s, k}$ in some nondegenerate part of $\Sigma $ Szego kernel asymptotics for lower energy forms Almost Kodaira embedding Theorems on CR manifolds Asymptotic expansion of the Szego kernel Szego kernel asymptotics and Kodairan embedding Theorems on CR manifolds with transversal CR $S^1$ actions Szego kernel asymptotics on some noncompact CR manifolds The proof of Theorem 5.28 References.
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 $a 1. Introduction and statement of the main results
 2. More properties of the phase Π(x, y, s)
 3. Preliminaries
 4. Semiclassical □(q)b,k and the characteristic manifold for □(q)b,k
 5. The heat equation for the local operatot □(q)s
 6. Semiclassical Hodge decomposition theorems for □(q)s,k in some nondegenerate part of E
 7. Szegő kernel asymptotic for lower energy forms
 8. Almost Kodaira embedding Theorems on CR manifolds
 9. Asymptotic expension of the Szegő kernel
 10. Szegő kernel asymptotics and Kodairan embedding theorems on CR manifolds with transversal CR, S1 actions
 11. Szegő kernel asymptotics on some noncompact CR manifolds
 12. The proof of Theorem 5.28.
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Shelved by Series title NO.1217  Unknown 
 International Conference Arithmetic, Geometry, Cryptography and Coding Theory (15th : 2015 : Marseille, France)
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — v, 199 pages : illustrations ; 26 cm.
 Summary

 The exact limit of some cubic towers / Nurdagül Anbar, Peter Beelen and Nhut Nguyen
 Errorcorrection capability of ReedMuller codes / Stéphanie Dib and François Rodier
 Optimal and maximal singular curves / Yves Aubry and Annamaria Iezzi
 An infinite class of Kasami functions that are not APN infinitely often / Eric Férard
 Covariant algebra of the binary nonic and the binary decimic / Reynald Lercier and Marc Olive
 On some bounds for symmetric tensor rank of multiplication in finite fields / Stéphane Ballet, Julia Pieltant, Matthieu Rambaud and Jeroen Sijsling
 Codes from Jacobian surfaces / Safia Haloui
 A new proof of a Thomaelike formula for non hyperelliptic genus 3 curves / Enric Nart and Christophe Ritzenthaler
 Remarks on the TsfasmanBoguslavsky Conjecture and higher weights of projective ReedMuller codes / Mrinmoy Datta and Sudhir R. Ghorpade
 Secret sharing schemes with strong multiplication and a large number of players from toric varieties / Johan P. Hansen
 Field extensions and index calculus on algebraic curves / Vanessa Vitse.
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QA268 .I57 2015  Unknown 
9. Expanding Thurston maps [2017]
 Bonk, Mario, author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — xv, 478 pages : illustrations ; 27 cm.
 Summary

 IntroductionThurston mapsLattes mapsQuasiconformal and rough geometryCell decompositionsExpansionThurston maps with two or three postcritical pointsVisual metricsSymbolic dynamicsTile graphsIsotopiesSubdivisionsQuotients of Thurston mapsCombinatorially expanding Thurston mapsInvariant curvesThe combinatorial expansion factorThe measure of maximal entropyThe geometry of the visual sphereRational Thurston maps and Lebesgue measureA combinatorial characterization of Lattes mapsOutlook and open problemsAppendix ABibliographyIndex.
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QA3 .A4 V.225  Unknown 
 Buium, Alexandru, 1955 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — x, 344 pages ; 27 cm.
 Summary

 Algebraic backgroundClassical differential geometry revisitedArithmetic differential geometry: GeneralitiesArithmetic differential geometry: The case of $GL_n$Curvature and Galois groups of Ehresmann connectionsCurvature of Chern connectionsCurvature of LeviCivita connectionsCurvature of Lax connectionsOpen problemsBibliographyIndex.
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QA3 .A4 V.222  Unknown 
11. An illustrated theory of numbers [2017]
 Weissman, Martin H., 1976 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — xv, 323 pages ; 29 cm
 Summary

 Seeing arithmeticFoundations: The Euclidean algorithmPrime factorizationRational and constructible numbersGaussian and Eisenstein integersModular arithmetic: The modular worldsModular dynamicsAssembling the modular worldsQuadratic residuesQuadratic forms: The topographDefinite formsIndefinite formsIndex of theoremsIndex of termsIndex of namesBibliography.
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QA241 .W354 2017  Unknown 
 Gehring, Frederick W., author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — ix, 430 pages : illustrations ; 27 cm.
 Summary

 * Introduction* Topology and analysis* Conformal mappings in Euclidean space* The moduli of curve families* Rings and condensers* Quasiconformal mappings* Mapping problems* The TukiaVaisala extension theorem* The Mostow rigidity theorem and discrete Mobius groups* Basic notation* Bibliography* Index.
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QA3 .A4 V.216  Unknown 
 Krantz, Steven G. (Steven George), 1951 author.
 Second edition.  Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — xx, 243 pages ; 26 cm
 Summary

 The basicsTopics specific to the writing of mathematicsExpositionOther types of writingBooksWriting with a computerThe world of hightech publishingClosing thoughtsBibliographyIndex.
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QA42 .K73 2017  Unknown 
 Hill, Theodore Preston, author.
 [Providence, Rhode Island] : American Mathematical Society ; [Washington, D.C.] : Mathematical Association of America, [2017]
 Description
 Book — viii, 294 pages, 24 unnumbered pages of plates : illustrations ; 27 cm
 Summary

 * Photo section* Day of the handshakes* The star years* Out of the gates* Preparing for war* Vietnam* Return to reason* The Fulbright interlude* $\textit{Berzerkeley}$* The apprenticeship* $\textit{Eurekas}$* The global math guild* The math $\textit{Ohana}$* The Penn State syndrome* Permanent sabbatical* Postscript.
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QA29 .H5245 H55 2017  Unknown 
 Works. Selections. 2017
 Griffiths, Phillip, 1938 author.
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — 2 volumes ; 27 cm.
 Summary

 J. Carlson, M. Green, and P. Griffiths, Variations of Hodge structure considered as an exterior and differential system: Old and new resultsM. Green and M. Kerr, Introduction from MumfordTate groups and domains: Their geometry and arithmeticM. Green and M. Kerr, Introduction from Introduction to Hodge theory, complex geometry, and representation theoryE. Berger, R. Bryant, and P. Griffiths, The Gauss equations and rigidity of isometric embeddingsR. L. Bryant, P. A. Griffiths, and D. Yang, Characteristics and existence of isometric embeddingsM. Green, P. Griffiths, and C. Robles, Extremal degenerations of polarized Hodge structuresP. Griffiths, C. Robles, and D. Toledo, Quotients of nonclassical flag domains are not algebraicM. Green, P. Griffiths, and M. Kerr, Neron models and boundary components for degenerations of Hodge structure of mirror quintic typeM. Green, P. Griffiths, and M. Kerr, Neron models and limits of AbelJacobi mappings.
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 Part 1: J. Carlson, M. Green, and P. Griffiths, Variations of Hodge structure considered as an exterior and differential system: Old and new resultsM. Green and M. Kerr, Introduction from MumfordTate groups and domains: Their geometry and arithmeticM. Green and M. Kerr, Introduction from Introduction to Hodge theory, complex geometry, and representation theoryE. Berger, R. Bryant, and P. Griffiths, The Gauss equations and rigidity of isometric embeddingsR. L. Bryant, P. A. Griffiths, and D. Yang, Characteristics and existence of isometric embeddingsM. Green, P. Griffiths, and C. Robles, Extremal degenerations of polarized Hodge structuresP. Griffiths, C. Robles, and D. Toledo, Quotients of nonclassical flag domains are not algebraicM. Green, P. Griffiths, and M. Kerr, Neron models and boundary components for degenerations of Hodge structure of mirror quintic typeM. Green, P. Griffiths, and M. Kerr, Neron models and limits of AbelJacobi mappings
 Part 2: M. Green, P. A. Griffiths, and K. H. Paranjape, Cycles over fields of transcendence degree 1M. Green and P. Griffiths, Hodgetheoretic invariants for algebraic cyclesM. Green and P. Griffiths, An interesting 0cycleM. Green and P. Griffiths, Formal deformation of Chow groupsM. Green and P. Griffiths, On the tangent space to the space of algebraic cycles on a smooth algebraic varietyM. Green and P. Griffiths, Algebraic cycles and singularities of normal functions, IM. Green and P. Griffiths, Algebraic cycles and singularities of normal functions, II.
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 M. Green, P. A. Griffiths, and K. H. Paranjape, Cycles over fields of transcendence degree 1M. Green and P. Griffiths, Hodgetheoretic invariants for algebraic cyclesM. Green and P. Griffiths, An interesting 0cycleM. Green and P. Griffiths, Formal deformation of Chow groupsM. Green and P. Griffiths, On the tangent space to the space of algebraic cycles on a smooth algebraic varietyM. Green and P. Griffiths, Algebraic cycles and singularities of normal functions, IM. Green and P. Griffiths, Algebraic cycles and singularities of normal functions, II.
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QA443 .G74 2017 PT.5  Unknown 
QA443 .G74 2017 PT.6  Unknown 
 Shapiro, Helene, 1954 author.
 Providence, Rhode Island : American Mathematical Society, [2015]
 Description
 Book — xv, 317 pages ; 26 cm.
 Summary

 Preliminaries Inner product spaces and orthogonality Eigenvalues, eigenvectors, diagonalization, and triangularization The Jordan and Weyr canonical forms Unitary similarity and normal matrices Hermitian matrices Vector and matrix norms Some matrix factorizations Field of values Simultaneous triangularization Circulant and block cycle matrices Matrices of zeros and ones Block designs Hadamard matrices Graphs Directed graphs Nonnegative matrices Error correcting codes Linear dynamical systems Bibliography Index.
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QA184.2 .S47 2015  Unknown 
 Aizenman, Michael, author.
 Providence, Rhode Island : American Mathematical Society, [2015]
 Description
 Book — xiv, 326 pages : illustrations ; 27 cm.
 Summary

 * Introduction* General relations between spectra and dynamics* Ergodic operators and their selfaveraging properties* Density of states bounds: Wegner estimate and Lifshitz tails* The relation of Green functions to eigenfunctions* Anderson localization through path expansions* Dynamical localization and fractional moment criteria* Fractional moments from an analytical perspective* Strategies for mapping exponential decay* Localization at high disorder and at extreme energies* Constructive criteria for Anderson localization* Complete localization in one dimension* Diffusion hypothesis and the GreenKuboStreda formula* Integer quantum Hall effect* Resonant delocalization* Phase diagrams for regular tree graphs* The eigenvalue point process and a conjectured dichotomy* Elements of spectral theory* HerglotzPick functions and their spectra* Bibliography* Index.
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QA274.28 .A39 2015  Unknown 
18. Toric topology [2015]
 Buchstaber, V. M., author.
 Providence, Rhode Island : American Mathematical Society, [2015]
 Description
 Book — xiii, 518 pages : illustrations ; 27 cm.
 Summary

 Geometry and combinatorics of polytopes Combinatorial structures Combinatorial algebra of face rings Momentangle complexes Toric varieties and manifolds Geometric structures on momentangle manifolds Halfdimensional torus actions Homotopy theory of polyhedral products Torus actions and complex cobordism Commutative and homological algebra Algebraic topology Categorical constructions Bordism and cobordism Formal group laws and Hirzebruch genera Bibliography Index.
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QA3 .A4 V.204  Unknown 
 Khoshnevisan, Davar, author.
 Providence, Rhode Island : American Mathematical Society, [2014]
 Description
 Book — viii, 116 pages : illustrations ; 26 cm.
 Summary

 Prelude
 Wiener integrals
 A linear heat equation
 WalshDamang integrals
 A nonlinear heat equation
 Intermezzo: A parabolic Anderson model
 Intermittency
 Intermittency fronts
 Intermittency islands
 Correlation length
 Appendix A: Some special integrals
 Appendix B: A BurkholderDavisGundy inequality
 Appendix C: Reguarity theory.
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QA1 .R33 NO.119  Unknown 
 Bendel, Christopher P., 1969 author.
 Providence, Rhode Island : American Mathematical Society, 2014.
 Description
 Book — ix, 93 pages ; 26 cm.
 Summary

 Preliminaries and statement of results Quantum groups, actions, and cohomology Computation of F
 0 and N(F
 0 ) Combinatorics and the Steinberg module The cohomology algebra H (u ? (g), C) Finite generation Comparison with positive characteristic Support varieties over u ? for the modules ? ? (?) and ? ? (?) Appendix A Bibliography.
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Shelved by Series title NO.1077  Unknown 