101. Emil Volcheck Http://acm.org/~volcheck (31 January 2001) Algorithmic questions raised by the theory of algebraic curves. Publications, resources. http://www.emilvolcheck.com/

Emil Volcheck's Page Hello! Welcome to my home page. If you are looking for information about my father, you can read about his funeral and my eulogy You can write to me at volcheck@acm.org I am a mathematician working as a cryptographic vulnerability analyst for the (US) National Security Agency . I work in the Cryptographic Components Evaluation Division of NSA's Cryptographic Evaluations Center. I did my graduate work at the UCLA Mathematics Department and held a post-doctoral position at the Research Institute for Symbolic Computation You can read my CV PDF There was a special session on Computational Algebraic Geometry for Curves and Surfaces at the 2001 AMS/MAA Joint Meetings in New Orleans, Louisiana. of Florida State University and I jointly organized this event. We plan to do this again in Baltimore in January 2003. At the 1999 Joint Meetings in San Antonio, Texas, we held the first special session on this topic. Research Interests Algebraic Curves Computer Algebra My research centers on the algorithmic questions raised by the theory of algebraic curves. Some fundamental questions are How do you parametrize a rational curve?

102. Algebraic Stack In algebraic geometry , a branch of mathematics , an algebraic stack is a concept introduced to generalize algebraic varieties, schemes, and algebraic space http://en.academic.ru/dic.nsf/enwiki/377061

Academic dictionaries and encyclopedias Add search to browser using dictionaries in your site ... http://en.academic.ru translations interpretations all dictionaries interface for translators Wikipedia Algebraic stack In algebraic geometry , a branch of mathematics , an algebraic stack is a concept introduced to generalize algebraic varieties schemes , and algebraic space s. They were originally proposed in Deligne-Mumford (1969) by Pierre Deligne and David Mumford to define the (fine) moduli space of genus g curves; their definition is currently referred to as Deligne-Mumford stacks. When viewed in this light, algebraic stacks are an algebraic analogue of orbifold s. They were generalized by Michael Artin in Artin (1974) to what is now called an Artin stack, or sometimes, confusingly, an "algebraic stack". Motivation To be expanded: * Quotients with non-trivial stabilisers of points * Moduli spaces of objects with automorphisms Formal definitions A stack is a category X over the étale site satisfying the following three properties. * We can define restrictions of objects over a scheme S to objects in open coverings of S: The category X is fibered in groupoids over the étale site * We can patch isomorphisms : Isomorphisms are a sheaf for X.

103. Tom Marley's Homepage University of Nebraska-Lincoln. Commutative Algebra and Quantum Information Theory. Publications. http://www.math.unl.edu/~tmarley1/

Tom Marley's Homepage Position Professor, Department of Mathematics Contact Information Address: 305 Avery Hall Department of Mathematics University of Nebraska-Lincoln Lincoln, NE 68588-0130 Phone: FAX: email: tmarley1@math.unl.edu Teaching Information for Fall 2010 Math 107: Calculus II, Section 350 9:30 - 10:20 MWF in AvH 106 Math 905: Commutative Algebra 11:30 - 12:20 MWF in OldH 304. Office Hours: 10:30- 11:20 MWF or by appointment. Research My research interests lie in the field of commutative algebra , a branch of mathematics focused on the study of algebraic equations and their solutions. The field has its origins in number theory, algebraic geometry, and invariant theory. Below are some of my recent publications (clicking on the title will download a pdf file): Hilbert coefficients and the depths of associated graded rings , joint with Sam Huckaba, Journal of the London Math. Soc (2) 56 (1997) 64-76. Cofinite modules and local cohomology , joint with Donatella Delfino, Journal of Pure and Applied Algebra 121 (1997) 45-52. On associated graded rings of normal ideals , joint with Sam Huckaba, Journal of Algebra 222 (1999), 146-163.

104. CiteULike: Using Algebraic Geometry by DA Cox Cited by 997 - Related articles http://www.citeulike.org/user/defeo/article/549534

Search all the public and authenticated articles in CiteULike. Enter a search phrase. You can also specify a CiteULike article id ( a DOI ( doi:10.1234/12345678 or a PubMed Id ( pmid:12345678 Click Help for advanced usage. CiteULike defeo's CiteULike Search Register Log in Home ... Research Fields NEW Help/FAQ Discussion Contact Us Library ... Recommendations NEW Neighbours Watchlist CiteULike is a free online bibliography manager. Register and you can start organising your references online. Tags Using Algebraic Geometry by: David A. Cox John Little Donal O'Shea RIS Export as RIS which can be imported into most citation managers BibTeX Export as BibTeX which can be imported into most citation/bibliography managers PDF Export formatted citations as PDF RTF Export formatted citations as RTF which can be imported into most word processors Delicious Export in format suitable for direct import into delicious.com. Setup a permanent sync to delicious) Formatted Text Export formatted citations as plain text To insert individual citation into a bibliography in a word-processor, select your preferred citation style below and drag-and-drop it into the document. (09 March 2005) [Show Formatted] Posts Export Citation Find Similar Formatted Citation Style Plain ACS - American Chemical Society APA - American Psychological Association APS - American Physical Society (RevTeX) CBE - Council of Biology Editors Chicago Elsevier Harvard IEEE JAMA - Journal of American Medical Association MLA - Modern Language Association Nature Oxford Science Turabian Vancouver APA (Reed)

105. Eager-Catania EAGER network node. List of researchers, topics and meetings. http://www.dmi.unict.it/~ragusa/

106. Books � Algebra Geometry Math Mathematics � IsoHunt � P2P And Enc Math Sciences / Algebraic Geometry I._Algebraic_Curves1 Shafarevich Introduction to Commutative Algebra and Algebraic Geometry - Kunz.djvu, 3.8 MB http://verified-p2p-links.com/download/44723954/algebra geometry math mathematic

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107. Algebraic Geometry | Mathematical Institute - University Of Oxford Recommended Prerequisites B3b Algebraic Curves is a prerequisite. (B9a Polynomial Rings and Galois theory is useful but not essential.) Aims Objectives http://www.maths.ox.ac.uk/taxonomy/term/1235

MFoCS Algebraic Geometry Algebraic Geometry Algebraic Geometry MT View course material Number of lectures: 16 MT Course Description Recommended Prerequisites: B3b Algebraic Curves is a prerequisite. (B9a Polynomial Rings and Galois theory is useful but not essential.) Algebraic geometry is the study of algebraic varieties: an algebraic variety is, roughly speaking, a locus defined by polynomial equations. One of the advantages of algebraic geometry is that it is purely algebraically defined and applies to any field, including fields of finite characteristic. It is geometry based on algebra rather than on calculus, but over the real or complex numbers it provides a rich source of examples and inspiration to other areas of geometry. Learning Outcomes: A familiarity with what quasi-projective varieties are. Awareness of the interplay of algebra and geometry via Hilbert's Nullstellensatz. An appreciation of simple examples of birational equivalence, and of resolution of singularities. Synopsis: Affine algebraic varieties, the Zariski topology, morphisms of affine varieties, coordinate rings, regular functions, irreducible varieties. Projective spaces, projective varieties. The projective closure of an affine variety. Morphisms of projective varieties. Weighted projective spaces.

108. Magma Computational Algebra System Home Page A Computational Algebra system for algebra, number theory and geometry. http://magma.maths.usyd.edu.au/

MAGMA Computational Algebra System Home Download Help FAQ ... About Magma How to get Magma Download Online Demo Resources Online Help Discovering Mathematics with Magma Citations How to cite Magma ... Contact us Magma is a large, well-supported software package designed to solve computationally hard problems in algebra, number theory, geometry and combinatorics. It provides a mathematically rigorous environment for computing with algebraic, number-theoretic, combinatoric, and geometric objects. Latest version: (released October 6, 2010) is now available. See here for a summary of the new features in V2.16. Recent Notices: March 18, 2010: Magma V2.16-6 has been released for Windows. November 12, 2009: Magma V2.16-1 has been released for 64-bit Intel/AMD Linux platforms. November 8, 2009: The list of publications that cite Magma has been greatly expanded, now totalling around 2600 items. The updated list may be found here December 19, 2008: The 2008 edition of Magma (Version 2.15) was released in early December and is now available for most supported platforms. It contains many new capabilities as well as major upgrades of algorithms and code for several core areas. See LINK for a summary of the new features.

109. Science - Math - Geometry - Algebraic Geometry - Directory Science Central Science Math - Geometry - Algebraic Geometry. Solutions to the exercises in chapter 1 of Hartshorne s . Illustrated webnotes by Donu http://www.sciencecentral.com/category/904279

110. Algebraic Geometry Summary | BookRags.com Algebraic Geometry. Algebraic Geometry summary with 3 pages of encyclopedia entries, research information, and more. http://www.bookrags.com/research/algebraic-geometry-wom/

111. The Algcurves Package In Maple. Examples, test files, plots, documentation. http://www.math.fsu.edu/~hoeij/compalg/algcurves.html

The algcurves package in Maple. Help page for the algcurves package Source code of algcurves in Maple V Release 5. Older version (called IntBasis) of this software and some more examples and plots. Other sources of software: the algebraic geometry package CASA. If you have any questions or comments, please mail them to hoeij@math.fsu.edu

112. Differential Algebraic Geometry - A Scheme-theoretic Approach Slides in multimedia format from a lecture by Henri Gillet at MSRI. http://www.msri.org/publications/ln/msri/1998/mtf/gillet/1/

113. Algebraic Geometry@Everything2.com Algebraic geometry is the study of subsets of affine nspace and, more generally projective space, defined by the vanishing of polynomial s. This theory has been an amazingly http://www.everything2.com/title/algebraic geometry

Near Matches Ignore Exact Everything algebraic geometry idea by Noether Wed Oct 11 2000 at 12:59:01 Algebraic geometry is the study of subsets of affine n -space and, more generally projective space , defined by the vanishing of polynomial s. This theory has been an amazingly successful area of mathematics in recent years. One reason for this is that the important geometric spaces, the ones that turn up in applications (such as theoretical physics ), are nearly always algebraic and so can be attacked by the methods of algebraic geometry. What's more the techniques used in algebraic geometry have become ubiquitous in other areas of mathematics. In the sixties Alexander Grothendieck generalised the whole thing massively when he introduced the idea of a scheme . Once one has this notion then all of algebraic number theory becomes part of algebraic geometry. This is not just empty formalism. For example, algebraic geometry is everywhere present in Andrew Wiles ' proof of Fermat's Last Theorem (of course he was trying to prove a conjecture about elliptic curves ). Nowadays there is even

114. Math 256A Fall 2010 Solutions to the exercises in chapter 1 of Hartshorne s Algebraic Geometry http://math.berkeley.edu/~reb/courses/alggeom/

115. Basic Algebraic Geometry - Download Listing Basic Algebraic Geometry to download for free. http://www.filecrop.com/Basic-Algebraic-Geometry.html

Top Music Add search to your site Check links Submit URL ... searching and checking links ... Please Wait! Size: kb 500 kb 1 mb 5 mb 10 mb 30 mb 50 mb 100 mb 200 mb 300 mb 400 mb 500 mb 600 mb 700 mb 800 mb 500 kb 1 mb 5 mb 10 mb 30 mb 50 mb 100 mb 200 mb 300 mb 400 mb 500 mb 600 mb 700 mb 800 mb 1 gb Rapidshare links Megaupload links using natural search Basic Algebraic Geometry Display 10 files 20 files 30 files 50 files 100 files Results of Filename Size Source Downloads Abstract Algebra - the Basic Graduate Year - R Ash.djvu 2,24 MB http://e-powe... Algebraic Geometry I From Algebraic Varieties to Schemes - K Ueno.djvu 1,41 MB http://e-powe... Hitchin Newstead Oxbury-Vector Bundles in Algebraic Geometry-9780521498784.djvu 1,51 MB http://www.gi... Algebraic_Geometry_-_D._Bump.djvu 1,92 MB http://e-powe... Algebraic_Geometry_-_R._Hartshorne.djvu 8,46 MB http://e-powe... Algebraic_geometry_I-V_-_Shafarevich_I.R.djvu 16,20 MB http://e-powe... Combinatorial Convexity and Algebraic Geometry - G Ewald.djvu 4,96 MB http://e-powe... Commutative Algebra with a View Toward Algebraic Geometry - D Eisenbud.djvu 7,45 MB http://e-powe...

116. KIT - Department Of Mathematics - Algebraic Geometry Workgroup on Number Theory and Algebraic Geometry. Secretariat AllianzGeb ude (05.20) Room 4A21.1 Address Englerstr. 2 FRG - 76128 Karlsruhe http://www.math.kit.edu/iag3/seite/alggeom/en

@import url(/kitcd/kit.css); @import url(http://www.math.kit.edu/root/media/fakultaet.css); Home deutsch Impressum KIT ... Staff Workgroup on Number Theory and Algebraic Geometry Secretariat Allianz-Gebäude (05.20) Room 4A21.1 Address Englerstr. 2 FRG - 76128 Karlsruhe Office hours: Mo - Fr, 9.00 - 11.45 Tel.: Fax.: algebraic geometry Algebraic Geometry After the invention of coordinates by Descartes it soon became clear, that important geometric objects (such as lines, conic sections or the lemniscate) could be described by polynomial equations. The sphere, for instance, is the solution-set of the equation The variables denote the coordinates in space, the parameter is the radius of the sphere under consideration. Algebraic geometry aims at systematically investigating the geometry of solution-sets of systems of polynomial equations. Of course this basic problem has been extended in several directions. To any commutative ring there can be associated a geometrical object (its spectrum), and the objects of modern algebraic geometry (schemes) are modelled using those spectra as basic building blocks. On the other hand, the geometry of complex spaces (with holomorphic mappings) is to a large extent very parallel to the algebraic world.

117. Computations In Algebraic Geometry With Macaulay 2 Edited by David Eisenbud, Daniel R. Grayson, Michael E. Stillman, and Bernd Sturmfels. Full text in DVI, PS and PDF. http://www.math.uiuc.edu/Macaulay2/Book/

Computations in algebraic geometry with Macaulay 2 Here is our book, Computations in algebraic geometry with Macaulay 2 , edited by David Eisenbud, Daniel R. Grayson, Michael E. Stillman, and Bernd Sturmfels. It was published by Springer-Verlag in September 25, 2001, as number 8 in the series "Algorithms and Computations in Mathematics", ISBN 3-540-42230-7, price DM 79,90 (net), or $44.95. Errata The Macaulay 2 code used in the book is available in machine readable form using subversion at svn://macaulay2.math.uiuc.edu/Macaulay2/trunk/M2/Macaulay2/packages/ComputationsBook , with one subdirectory per chapter. Each file */chapter.m2 contains the original code from the chapter, whereas the file */test.m2 contains code slightly updated to run properly with the latest version of Macaulay 2 . The chapter code files are also available as part of the tar file containing the source code Buy the book at Amazon Buy the book at Amazon.de The entire book , except for the cover and the front matter: Available in the following formats: dvi (with needed figures: octahedron.eps

118. Algebraic Geometry At Stanford There is a fair bit of algebraic geometry at Stanford, and as some of it is in somewhat unexpected places, this page is intended to point out where it is. http://math.stanford.edu/~vakil/agstanford.html

Algebraic geometry at Stanford There is a fair bit of algebraic geometry at Stanford, and as some of it is in somewhat unexpected places, this page is intended to point out where it is. We have an algebraic geometry mailing list , where news will be sporadically sent. If you're interested, subscribe by going to http://mailman.stanford.edu/mailman/listinfo/algebraic_geometry and filling out the form. To mail to the list, e-mail algebraic_geometry-at-lists.stanford.edu. Seminars We have an active algebraic geometry seminar at Stanford, which meets weekly. We have a student seminar . We have an algebraic geometry colloquium joint with Berkeley and Davis which meets four times per year. We are one of the founders of the Western Algebraic Geometry Symposium , a twice-yearly conference rotating around the western U.S. and Canada. We hosted the first regular WAGS in spring 2003, and expect to host the next one in spring 2011. We often have funding to send students to conferences There are often talks in the topology, number theory, and symplectic geometry seminars that are related. People in algebraic geometry Along with Jun Li and myself, we have a number of postdoctoral or younger faculty and associates in the area:

119. Journal Of Algebraic Geometry Tables of contents, abstracts and references from vol.11 (2002). Full text to subscribers (TeX, DVI, PDF, PS). http://www.ams.org/distribution/jag/

120. Mastermath A first characterization of Algebraic Geometry is the study of......Credits 8 credit points Instructors Looijenga, E.J.N. (Universiteit Utrecht) Email E.J.N.Looijenga@math.uu.nl http://www.mastermath.nl/program/00010/00014/

About Mastermath Links Locations Contact ... Spring 2011 Algebraic Geometry Credits 8 credit points Instructors Looijenga, E.J.N. (Universiteit Utrecht) E-mail E.J.N.Looijenga@math.uu.nl Description A first characterization of Algebraic Geometry is: the study of the common zero sets of a collection of polynomial equations in a given number of variables x ,...,x n complex projective n-space. This was followed by the observation that for much of the theory the only property of the complex numbers that intervened was that they make up an algebraically closed field. We thus arrive at what is called Projective Algebraic Geometry: the study of common zero sets of systems of homogeneous polynomials in n+1 variables x ,...,x n with coefficients in an algebraically closed field. However, if it so happens that the polynomials have their coefficients in a smaller field that is not algebraically closed such as the field of rational numbers, then it makes sense (and there may be good reason) to ask for solutions with coefficients in that field. This can be a subtle issue which usually involves Galois theory (this also explains why it was not a good idea to start working real coefficients). Things become even more complicated if the algebraically closed field is replaced by a ring like the integers. Such questions are by no means uninteresting, for many natural problems in number theory can be stated that way. In the 1950ies it was recognized that in order to accommodate this kind of generality, Algebraic Geometry had to be rebuilt from the ground up. This foundational work was carried out in a relatively short period (1958-1970) under the supervision of A. Grothendieck. The tools and language developed by him (with his notion of

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