21. Algebraic Geometry From MathWorld algebraic geometry from MathWorld algebraic geometry is the study of geometries that come from algebra, in particular, from rings. In classical algebraic geometry, the algebra is the ring of http://rdre1.inktomi.com/click?u=http://mathworld.wolfram.com/AlgebraicGeometry.

22. Algebraic Geometry algebraic geometry. pdf Finite maps; Dimension theory; Regular maps and their fibres; algebraic geometry over an arbitrary field; Divisors http://www.jmilne.org/math/CourseNotes/math631.html

Algebraic Geometry pdf (for single-sided printing) pdf (for two-sided printing) v2.01 (August 24, 1996). First version on the web. v3.01 (June 13, 1998). Added 5 sections (25 pages) and an index. Minor changes to Sections 0-8. 157pp. v4.00 (October 30, 2003). Fixed errors; many minor revisions; added exercises; added two sections; 206 pages. Contents Preliminaries on commutative algebra Algebraic sets Affine algebraic varieties Algebaic varieties Local study: tangent spaces; tangent cones; singularities Projective varieties; complete varieties Finite maps Dimension theory Regular maps and their fibres Algebraic geometry over an arbitrary field Divisors and intersection theory Coherent sheaves; invertible sheaves Differentials Algebraic varieties over the complex numbers Descent Theory Lefschetz Pencils Solutions to the Exercises Annotated Bibliography Index Errata

23. Veys University of Leuven. algebraic geometry, singularity theory, applications in number theory. Papers and preprints. http://www.wis.kuleuven.ac.be/algebra/veys.htm

Home Page of Wim Veys Contents Work Information Contact Information Publications with available DVI- and PS-file Previous publications Work Information Professor at the University of Leuven (K.U.Leuven), Department of Mathematics, Section of Algebra Fields of Research Algebraic Geometry, Singularity Theory, applications in Number Theory Specific Research Topics Exceptional divisor of an embedded resolution, Zeta Functions (Igusa, topological, motivic), Monodromy, configurations of curves on surfaces, Stringy invariants, Principal value integrals Ph.D. Students Bart Rodrigues : Geometric determination of the poles of motivic and topological zeta functions may 2002 Dirk Segers : Smallest poles of zeta functions and solutions of polynomial congruences, april 2004 Jan Schepers : On stringy invariants Ann Lemahieu : On possible poles of zeta functions Filip Cools Back to top Contact Information Address University of Leuven, Department of Mathematics, Celestijnenlaan 200 B, B-3001 Leuven (Heverlee), Belgium. Electronic mail address wim.veys@wis.kuleuven.ac.be

24. ALGEBRAIC GEOMETRY Browse all Subjects. New Titles. Editor's Choice. Bestsellers. Book Series. Textbooks. Journals. Join Our Mailing List. algebraic geometry an introduction to algebraic geometry which is certainly http://www.wspc.com/books/mathematics/3873.html

Home Browse by Subject Bestsellers New Titles ... Browse all Subjects Search Keyword Author Concept ISBN Series New Titles Editor's Choice Bestsellers Book Series ... Join Our Mailing List ALGEBRAIC GEOMETRY by Daniel Bump (Stanford University) This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the deeper theory is given: some topics, such as local algebra and ramification theory, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann–Roch theorem, elliptic curves, the zeta function of a curve over a finite field, and the Riemann hypothesis for elliptic curves. Contents: Affine Algebraic Sets and Varieties The Extension Theorem Maps of Affine Varieties Dimensions and Products Local Algebra Properties of Affine Varieties Varieties Complete Nonsingular Curves Ramification Completions Differentials and Residues The Riemann–Roch Theorem Elliptic Curves and Abelian Varieties The Zeta Function of a Curve Readership: Graduate students in mathematics.

25. Southwestern Center Home Based at the University of Arizona, in collaboration with the Universities of New Mexico, Southern California, and Texas. Annual conference. http://swc.math.arizona.edu/~swcenter/

Southwestern Center for Arithmetical Algebraic Geometry The Upcoming Arizona Winter School Previous Arizona Winter Schools Our Distinguished Lecture Series Notes and Other Documents ... A Slide Show (Requires Javascript) About the Southwestern Center Local and Travel Information Site Map and Search E-mail us News The 2004 Arizona Winter School Newcomers to the AWS may want to check our Guide to the Arizona Winter School Streaming videos from AWS 2003 and the Swinnerton-Dyer distinguished lectures are now available. (Thanks to Fred Leitner for a huge amount of work preparing the slides and smil files!) See the video index for links and the video hints page for tips on how to use the videos. The Southwestern Center The Southwestern Center for Arithmetical Algebraic Geometry was founded in 1997 by seven mathematicians working in the southwest, namely Alex Buium, Minhyong Kim, Bill McCallum, Wayne Raskind, Dinesh Thakur, Doug Ulmer (PI), and Felipe Voloch. They were joined in 2002 by Michael Nakamaye, Bjorn Poonen, and Fernando Rodriguez-Villegas. The Center is funded by the National Science Foundation, and its activities include the annual Arizona Winter School and a distinguished lecture series. Follow the links at left to learn more about the Southwestern Center. Updates To receive occasional messages with news about the Southwestern Center, join our mailing list by filling out this

26. Computations In Algebraic Geometry With Macaulay 2 Computations in algebraic geometry with Macaulay 2. This chapter introduces Macaulay 2 commands for some elementary computations in algebraic geometry. 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 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 standardpairs-fixed.eps , and Y25.eps postscript pdf The cover and the front matter Preface Available in the following formats: dvi postscript pdf Part I, Introducing Macaulay 2 Ideals, Varieties, and Macaulay 2 , by Bernd Sturmfels: Available in the following formats: dvi postscript pdf This chapter introduces Macaulay 2 Projective Geometry and Homological Algebra , by David Eisenbud: Available in the following formats: dvi postscript pdf We provide an introduction to many of the homological commands in Macaulay 2 (modules, free resolutions, Ext and Tor, ...) by means of examples showing how to use homological tools to study projective varieties.

27. Aspects Of Algebraic Geometry And Commutative Algebra http://www.math.tamu.edu/~plfilho/aagca/

Viewing this page requires a browser capable of displaying frames.

28. Richard Taylor's Home Page Harvard. Arithmetic algebraic geometry, automorphic forms. Preprints. http://abel.math.harvard.edu/~rtaylor/

R I C H A R D T A Y L O R Here are some recent papers. They are available either as dvi or as postscript files. They may be very slightly different from the published versions, e.g. they may not include corrections made to the proofs. Galois representations. (Review article.) R.Taylor Proceedings of ICM 2002, volume I, 449-474. dvi Postscript Galois representations. (Long version of above review article.) R.Taylor to appear Annales de la Faculte des Sciences de Toulouse. dvi Postscript Galois representations. R.Taylor slides for talk at ICM 2002. dvi Postscript On the meromorphic continuation of degree two L-functions. R.Taylor preprint. dvi Postscript Remarks on a conjecture of Fontaine and Mazur. R.Taylor Journal of the Institute of Mathematics of Jussieu 1 (2002), 1-19. dvi Postscript On icosahedral Artin representations. II R.Taylor American Journal of Mathematics 125 (2003), 549-566. dvi Postscript On the modularity of elliptic curves over Q. C.Breuil, B.Conrad, F.Diamond and R.Taylor

29. ALGEBRAIC GEOMETRY algebraic geometry by Daniel Bump (Stanford University) This is a graduatelevel text on algebraic geometry that provides a quick and fully self-contained http://www.worldscientific.com/books/mathematics/3873.html

Home Browse by Subject Bestsellers New Titles ... Browse all Subjects Search Keyword Author Concept ISBN Series New Titles Editor's Choice Bestsellers Book Series ... Join Our Mailing List ALGEBRAIC GEOMETRY by Daniel Bump (Stanford University) This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the deeper theory is given: some topics, such as local algebra and ramification theory, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann–Roch theorem, elliptic curves, the zeta function of a curve over a finite field, and the Riemann hypothesis for elliptic curves. Contents: Affine Algebraic Sets and Varieties The Extension Theorem Maps of Affine Varieties Dimensions and Products Local Algebra Properties of Affine Varieties Varieties Complete Nonsingular Curves Ramification Completions Differentials and Residues The Riemann–Roch Theorem Elliptic Curves and Abelian Varieties The Zeta Function of a Curve Readership: Graduate students in mathematics.

30. Ching-Li Chai's Home Page University of Pennsylvania. Arithmetic algebraic geometry. http://www.math.upenn.edu/~chai/

Ching-Li Chai's Home Page Please make a selection Take me to the framed version I like the no-frame ... version better.

31. EAGER - European Algebraic Geometry Research Training Network European algebraic geometry research training network. http://euclid.mathematik.uni-kl.de/

Your browser does not support frames! Click here for the EAGER welcome page. Click here for the EAGER menu.

32. Sun-Yung Alice Chang Director of Graduate Studies, Department of Mathematics, Princeton University. Subjects geometric analysis, algebraic geometry, differential geometry. http://www.math.princeton.edu/~chang/

Sun-Yung Alice Chang Department of Mathematics, Princeton University email: chang@math.princeton.edu Office Phone: 609-258-5114 MathSciNet Home Page Recent preprints (Differential Geometry) Recent preprints (Analysis of PDE New Papers Sun-Yung A. Chang , Jie Qing and Paul Yang, ``On finiteness of Kleinian groups in general dimension," preprint 2002, to appear in the Crelles Journal.[ pdf] Sun-Yung A. Chang, C.C. Chen aand C. S. Lin, ``Extremal functions for a mean field equation in two dimension,'' Lecture on Partial Differential equations in honor of Louis Nirenberg's 75th birthday, Chapter 4, International Press, 2003.[ pdf] Sun-Yung A. Chang, Matt Gursky and Paul Yang ``Entire solutions of a fully non-linear equation,'' Lecture on Partial Differential Equations in honor of Louis Nirenberg's 75th birthday, Chapter 3, International Press, 2003.[ pdf Sun-Yung A. Chang , Matt Gursky and Paul Yang , ``A conformally invariant sphere theorem in four dimensions'', to appear Publications de l'IHES, 2003. [ pdf Sun-Yung A. Chang and Paul Yang, ``Non-linear Partial Differential equations in Conformal Geometry", Proceedings for ICM 2002, Beijing, volume I, pp 189-209.[

33. Algebraic Geometry, Commutative Algebra And Combinatorics -- Erice 2001, NATO Ad Exterior Algebra Methods and Other New Directions. Erice, Sicily, Italy; 9 15 September 2001. http://www.math.sunysb.edu/~sorin/Erice-2001/

Event photos The workshop in Erice will address a wide range of new developments in classical Algebraic Geometry such as curves and their moduli, surfaces, higher dimensional varieties, vector bundles, and toric varieties. A special focus will be on exterior algebra methods which have recently grown in importance in Algebraic Geometry, Commutative Algebra, and Combinatorics, and their computational aspects (Bernstein-Gel'fand-Gel'fand correspondence, Beilinson monad, theory of Chow forms and resultants, algebraic shifting, free resolutions over the exterior algebra, linear syzygies, hyperplane arrangements, ...) Organizing Committee: David Eisenbud Lucian Badescu Sorin Popescu and Alfio Ragusa Speakers (tentative): The following people have responded positively to our invitation: Sponsors: NATO Scientific Affairs Division EAGER: European Algebraic Geometry Research Training Network and the University of Catania , Sicily. Registration: The cost of staying at the Ettore Majorana Centre will be approximately $80 per night (lodging/meals/transfer from/to the airport/1/2 day trip included), and there will be a fee of $100 for the social events. We will be able to offer financial assistance to some of the participants, particularly to younger mathematicians and speakers.

34. Introduction To Algebraic Geometry 18.725 Introduction to algebraic geometry. The description in the course guide Introduces the basic notions and techniques of modern algebraic geometry. http://math.stanford.edu/~vakil/725/course.html

18.725: Introduction to Algebraic Geometry The description in the course guide: "Introduces the basic notions and techniques of modern algebraic geometry. Algebraic sets, Hilbert's Nullstellensatz and varieties over algebraically closed fields. We relate varieties over the complex numbers to complex analytic manifolds. For varieties of dimension one (i.e. curves) we discuss the genus, divisors, linear series, line bundles and the Riemann-Roch theorem." Johan de Jong will be teaching the follow-up course in the spring. The class is in Here are various notes in dvi, ps, and pdf formats. (If you would like tar archives, just let me know; due to limited diskspace, I had to remove them from this page.) I've added all the corrections I've found (or been told about) on Dec. 30, 1999, so they are in as final form as they'll ever be. On the first day (Sept. 9), I gave out two handouts, one with information about the course ( dvi ps , or pdf ), and one with fun problems in algebraic geometry to pique your interest ( dvi ps , or pdf Here's a rather detailed summary of the first lecture ( dvi ps , or pdf On the second day (Sept. 14), I gave out the first problem set (

35. Jan Nekovar Universit© Pierre et Marie Curie (Paris VI). Algebraic number theory, arithmetic algebraic geometry. http://www.math.jussieu.fr/~nekovar/

Case 247 4, place Jussieu F-75252 PARIS CEDEX 05 FRANCE Office: 175 rue du Chevaleret/ 16 rue Clisson, 75013 PARIS (Office: 7A43 Tel : Fax: E-mail: nekovar@math.jussieu.fr URL : http://www.math.jussieu.fr/~nekovar/ CV.ps CV.pdf Publications ... Links

36. WAGS-Spring 2003 Western algebraic geometry Seminar. Stanford University April 1920, 2003. Poster Schedule Participants Photos. Speakers. Kai http://math.stanford.edu/~azinger/wags03sp/

Western Algebraic Geometry Seminar Stanford University April 19-20, 2003 Poster Schedule Participants Photos Speakers Kai Behrend UBC Differential Graded Algebraic Geometry Lawrence Ein UIC Log Canonical Thresholds and Birational Geometry Javier Fernandez ... Stability Conditions Organized by Jun Li Stanford Ravi Vakil Stanford ), Aleksey Zinger ( Stanford The Fall'03 WAGS took place at the University of British Columbia on September 13 and 14. The University of Utah will be hosting the Spring'04 WAGS. The Fall'04 and Spring'05 WAGS are expected to be held at the Colorado State University and Stanford , respectively.

37. Yui, Noriko Queen's University at Kingston, Ontario, Canada. Arithmetic algebraic geometry. http://www.mast.queensu.ca/faculty/yui.html

38. ICTP Lecture Notes Series Moduli Spaces in algebraic geometry. Moduli Spaces in algebraic geometry Editor L. Goettsche (ICTP) Introduction Sources PS , PDF . http://www.ictp.trieste.it/~pub_off/lectures/vol1.html

ICTP - The Abdus Salam International Centre for Theoretical Physics , Trieste, Italy ICTP Lecture Notes Series Volume I (ISBN 92-95003-00-4) - August 2000 Moduli Spaces in Algebraic Geometry lns001.tar.gz (1860401 bytes) (NB: This tar-compressed file contains, LaTeX, postscript (.ps.tar) and/or encapsulated postscript (.eps) figures and also the postscript version of each lecture note). Moduli Spaces in Algebraic Geometry Editor: L. Goettsche (ICTP) Introduction: Sources PS PDF Contents Lectures on Moduli of Principal G-Bundles Over Algebraic Curves Sources PS PDF Christoph Sorger Hilbert Schemes of Points and Heisenberg Algebras Sources PS PDF Geir Ellingsrud and Lothar Goettsche Donaldson Invariants in Algebraic Geometry Sources PS PDF Lothar Goettsche Holomorphic Bundles Over Elliptic Manifolds Sources PS PDF John W. Morgan Degenerations of the Moduli Spaces of Vector Bundles on Curves Sources PS PDF C.S. Seshadri A Minicourse on Moduli of Curves Sources PS PDF Eduard Looijenga Moduli of Riemann Surfaces, Transcendental Aspects Sources PS PDF Richard Hain Arithmetic Fundamental Groups and Moduli of Curves Sources PS PDF Makoto Matsumoto For queries or suggestions please contact via E-mail: pub_off@ictp.trieste.it

39. Alice Silverberg -- Home Page Ohio State University. Arithmetic algebraic geometry, applications. http://www.math.ohio-state.edu/~silver/

Alice Silverberg Professor of Mathematics, Ohio State University Email is always the best way to reach me: silver@math.ohio-state.edu Telephone: (614) 292-5251 Office: MW 536 Fax: (561) 258-5790 Mailing Address: Department of Mathematics Ohio State University 231 W. 18 Ave. Columbus, OH 43210-1174 BIBLIOGRAPHY CURRICULUM VITAE CRYPTOLOGY AND SECURITY COURSES: Math 667: CRYPTOGRAPHY/COMPUTER AND NETWORK SECURITY, Summer 2003 Math 983/693: INTRODUCTION TO CRYPTOGRAPHY, Summer 2002 Math 983: CRYPTOLOGY, Summer 2001 PCMI Lecture Notes on Open Questions in Arithmetic Algebraic Geometry (525K PostScript file) ... Photos, Dances, and other Interesting Things

40. ICTP Lecture Notes Series Vanishing Theorems and Effective Results in algebraic geometry Editors JP Demailly (Universite de Grenoble I, France), L. Goettsche (ICTP) and R. Lazarsfeld http://www.ictp.trieste.it/~pub_off/lectures/

ICTP - The Abdus Salam International Centre for Theoretical Physics , Trieste, Italy ICTP Lecture Notes Series Since unpublished material presented at the meetings might prove of great interest also to scientists who did not take part in the schools, the Centre has made them available through a new publication titled ICTP Lecture Note Series . It is hoped that this formally structured pedagogical material in advanced topics will be helpful to young students and researchers, in particular to those working under less favourable conditions. LNS- Guidelines for Authors Volume XVII (ISBN 92-95003-25-X) - May 2004 School and Conference on Probability Theory Editor: G.F. Lawler (Cornell Univ., USA) Volume XVI (ISBN 92-95003-23-3) - February 2004 Introduction to International Radio Regulations Editor: S.M. Radicella (ICTP) Volume XV (ISBN 92-95003-21-7) - January 2004 Contemporary Developments in Algebraic K-Theory Editors: M. Karoubi (Univ. Paris 7, France), A.O. Kuku (ICTP) and C. Pedrini (Univ. Genova, Italy) Volume XIV (ISBN 92-95003-20-9) - December 2003 2002 Astroparticle Physics and Cosmology Editors: G. Dvali (N.Y. Univ.), A. Perez-Lorenzana (IPN, Mexico), G. Senjanovic (ICTP), Thompson (ICTP) and F. Vissani (INFN, Italy)

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