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

CHING-LI CHAI Coordinates Office: 4N36 DRL Penn Math Dept , 209 S. 33rd St., Philadelphia Email: chai@math.upenn.edu 215-898-8627(dept), 215-898-4080(grad) Fax: 215-573-4063 Research General Description Papers and Preprints Book in Progress Notes Seminars and Colloquia Advanced Courses Expository Articles Current Courses Math 620/621 (Nber Thy) Past Courses Dissertations of Former Students Math Links ... Non-math technical paper on terminal ballistics

42. PlanetMath: Algebraic Geometry algebraic geometry is the study of algebraic objects using geometrical tools. algebraic geometry defines the basic objects and constructs tools closely http://planetmath.org/encyclopedia/AlgebraicGeometry.html

(more info) Math for the people, by the people. Encyclopedia Requests Forums Docs ... Random Login create new user name: pass: forget your password? Main Menu sections Encyclop¦dia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Classification talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information News Docs Wiki ChangeLog ... About algebraic geometry (Topic) Introduction Algebraic geometry is the study of algebraic objects using geometrical tools. By algebraic objects, we mean objects such as the collection of solutions to a list of polynomial equations in some ring . Of course, if the ring is the complex numbers , we can apply the highly succesful theories of complex analysis and complex manifolds to address the problems; many powerful tools are available; de Rham cohomology singular homology Hodge theory spectral sequences and many others. We also have at our disposal all the tools of real differential geometry partitions of unity curvature tangent spaces , as well as all the tools of point-set topology . However, if one wishes to use a different ring, perhaps the

43. Coding Theory, Algebraic Geometry And Gröbner Bases D.A. Leonard. One in a series of snapshots of applications of discrete mathematics to other parts of mathematics. http://www.dms.auburn.edu/~rodgec1/cadcom/mathappl/leonsnap/leonsnap.html

One in a series of snapshots of applications of discrete mathematics to other parts of mathematics. D. A. Leonard Auburn University The Context The Problem The general decoding problem for any code, is to take a received word (that is, a corrupted code word) and produce (efficiently) the nearest code word to it (or equivalently the smallest error possible). For linear codes (subspaces), this is generally done by using functions of the received word which only depend on the error, not on the specific code word transmitted. Such functions are called syndromes For Reed-Solomon codes over , currently used in various applications such as CD technology, the syndromes are with the given received word, and a primitve element of One then uses a Berlekamp-Massey algorithm (or the extended Euclidean algorithm) to produce an error-locator polynomial (or an error-evaluator polynomial). Then one has a choice of producing all , (by viewing as a recurrence relation and the given syndromes as initial conditions) and using an inverse transform, with the (most likely) error or factoring , producing , and using Forney's formula: Algebraic-Geometric Codes Algebraic-geometric codes (the duals of those described in ``Coding Theory and Algebraic Geometry: An Interplay'') are generalizations of the Reed-Solomon codes above. As such, there should be an efficient decoding scheme that is modelled on the algorithm above. The first important algorithm in this process was the generalization of the Berlekamp-Massey algorithm to higher dimensions, published in the late 80's by Sakata. This lead to reasonably efficient vector-space based techniques, each with some flaws, either in the number of errors, number of points, or efficiency. The next important idea was published in 93 by Feng and Rao. This majority voting scheme allowed for production of more ``syndromes'' while row-reducing the syndrome matrix. Only recently has this been synthesized into a generalization of the above algorithm.

44. AG Algebraic Geometry front.math.ucdavis.edu/math.AG/0407033 algebraic geometryalgebraic geometry by Daniel Bump (Stanford University) This is a graduatelevel text on algebraic geometry that provides a quick and fully self-contained http://front.math.ucdavis.edu/math.AG/

Fri 16 Sep 2005 Search Submit Retrieve Subscribe ... iFAQ AG Algebraic Geometry Conferences Calendar Search Authors: All AB CDE FGH ... U-Z New articles (last 12) 16 Sep math.AG/0509361 Localization in quiver moduli. Markus Reineke . 25 pages. AG RT 16 Sep math.AG/0509346 Rational Lagrangian fibrations on punctual Hilbert schemes of K3 surfaces. D. Markushevich . 23 pages. AG 16 Sep math.AG/0509324 Elliptic structures on weighted three-dimensional Fano hypersurfaces. Ivan Cheltsov . 105 pages. AG 15 Sep math.AG/0509319 The Borel-Serre Compactification for the Classifying Space of Hodge Structures. John Scherk . 17 pages. AG Cross-listings 16 Sep math.AC/0509340 Finiteness of extension functors of local cohomology modules. Mohammad T. Dibaei , Siamak Yassemi . 5 pages. AC AG 15 Sep math.NT/0509304 Diamond Theorem for finitely generated Profinite free Group. L. Bary-Soroker NT AG GR 15 Sep math.RT/0509303 Jean-Yves Charbonnel (IMJ). 9 pages. RT AG Revisions 16 Sep math.AG/0506015 Equivariant Giambelli and determinantal restriction formulas for the Grassmannian. V. Lakshmibai , K. N.

45. Fermigier, Stéfane Number theory and algebraic geometry. http://www.fermigier.com/fermigier/index.html.en

Warning! The pages you are about to enter have been written between 1994 and 1996, and have not been updated since These pages are not up to date. If you want to find up to date information about what I'm doing right now, go to Nuxeo.com instead (basicallly, we are doing Zope and Python development). So, do you really want to see Stéfane Fermigier's home site circa 1995 ? Yes (french version) Yes (english version) No Other sites maintained by Stéfane Fermigier: Nuxeo , my company. Portalux , the Linux portal. NewsFR , daily news from many sources, in french. LinuxSlides , the virtual Linux conference. Other sites that I've been contributing to: AFUL , the french speaking Linux and free software users association.

46. Algebraic Geometry algebraic geometry is a subject with historical roots in analytic geometry. Today it is a powerful synthesis of those algebraic, geometric, and analytic http://www.math.tamu.edu/~Peter.Stiller/agpage.html

Algebraic Geometry What is Algebraic Geometry? Research Interests: For a list of related publications, click here Return to TAMU Math Return to Dr. Stiller's home page

47. O'Neil, Catherine M.I.T. Number theory, Arithmetic algebraic geometry. http://www-math.mit.edu/~coneil/

Please go to my new website at http://www.math.columbia.edu/~oneil/

48. Algebraic Geometry And Number Theory With Magma Institute Henri Poincar©, Paris, France; 48 October 2004. http://magma.maths.usyd.edu.au/ihp/

General Schedule Participants Accomodation ... Registration Algebraic Geometry and Number Theory with Magma Paris October 4 - 8, 2004 Pictures Click here for pictures of the conference (taken by William Stein and Allan Steel). Introduction A week-long conference on the Computer Algebra system Magma trimester on "Explicit Methods in Number Theory" , organised by Belabas, Cohen, Cremona, Mestre, Roblot, Zagier. For further information, mail John Cannon The meeting was built around the following types of activities: Lectures describing recent developments in algorithms for algebraic geometry and arithmetic fields. Talks describing significant applications of Magma to algebraic geometry or number theory. Talks discussing potential algorithms or ideas for future directions in computational methods for algebraic geometry and arithmetic fields. Short courses on the use of Magma in following areas: Arithmetic fields General algebraic geometry ie schemes Elliptic curves Curves of genus greater than 1 Modular forms and modular abelian varieties Lectures Manjul Bhargava (IAS Princeton): A conjecture of Conway and Schneeberger on quadratic forms Gavin Brown (Warwick): Graded rings over K3 surfaces John Cannon (Sydney): An overview of algebraic geometry in Magma John Cremona (Nottingham): Finding all elliptic curves with good reduction outside a given set of primes Miles Reid (Warwick): Unprojection and Gorenstein rings in small codimensions Josef Schicho (Linz): Deciding rational rationality of algebraic surfaces

49. Math 99r Fall 2000- Computational Algebraic Geometry Eisenbud, ``Commutative Algebra with a view toward algebraic geometry , Springer GTM, 1995. Links to lots of online notes on Basic algebraic geometry. http://www.math.tamu.edu/~schenck/99r.html

Math 99r Fall 2000 - Computational Algebraic Geometry Course Description The interplay between algebra and geometry is a beautiful (and fun!) area of mathematical investigation. Advances in computing and algorithms over the last quarter century have revolutionized the area, making many (formerly inaccessable) problems tractable, and providing a fertile ground for experimentation and conjecture. We'll begin by studying some basic commutative algebra and connections to geometry; i.e. rings, and ideals, varieties, the Hilbert basis theorem and nullstellensatz. Then we'll discuss graded objects and varieties in projective space; the Hilbert syzygy theorem says (basically) we can approximate a graded module with a finite sequence of free modules (a finite free resolution). The Grobner basis algorithm (which we'll study) actually lets us compute these things; and so we have a great source of examples. The real objective of the course is to bring whatever we choose to study next to life by doing lots of examples. There are many paths we can take; a homological direction (free resolutions, Tor and Ext, Hilbert syzygy theorem), a combinatorial direction (Stanley-Reisner rings, upper bound theorem, applications to polytopes and discrete geometry); or an applied direction (coding theory, integer programming, mathematical modelling, and robot control). Or we can take a tapas approach, and study some of everything. Instructor Hal Schenck 421h Science Center schenck@math.harvard.edu

50. 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[at]math[.]jussieu[.]fr URL : http://www.math.jussieu.fr/~nekovar/ CV.ps CV.pdf Publications ... Links

51. IMA Thematic Year On Applications Of Algebraic Geometry, September 2006 - June 2 algebraic geometry has a long and distinguished presence in the history of Motivated by these exciting developments, the year in algebraic geometry and http://www.ima.umn.edu/2006-2007/

Homepage About the IMA What's Happening Programs/Activities ... Join our Mailing Lists Search PRELIMINARY PROGRAM IMA Thematic Year on Applications of Algebraic Geometry September 2006 - June 2007 Questions? Contact us at domain='ima.umn.edu'; document.write('staff@'); document.write('ima.umn.edu'); staff(at)ima.umn.edu Note: Refer to this page periodically as it will be updated when more information becomes available. Long Term Visitors Quick Links to Events Tutorial: Algebraic geometric methods in engineering Workshop: Algorithms in algebraic geometry Workshop: Software for algebraic geometry Tutorial: Algebraic algorithms in optimization Workshop: Optimization and control Workshop: Applications in biology, dynamics, and statistics Tutorial: What is algebraic geometry? Workshop: Complexity, coding, and communications Workshop: Non-linear computational geometry Organizing Committee: Name/E-mail Address Present Institution Dimitris Bertsimas domain='mit.edu'; document.write('dbertsim@'); document.write('mit.edu'); dbertsim(at)mit.edu

52. Kiran S. Kedlaya Massachusetts Institute of Technology. Research primarily in algebraic geometry and number theory. Papers and preprints, mathematics links, and contact information. http://www-math.mit.edu/~kedlaya/

Kiran Sridhara Kedlaya The only thing we have to fear is fear itselfnameless, unreasoning, unjustified terror which paralyzes needed efforts to convert retreat into advance. Franklin D. Roosevelt E.g., um, Iraq? topical anagram I am an Assistant Professor of Pure Mathematics at MIT . My research is primarily in algebraic geometry and number theory (including algorithmic/computational questions); effective July 1, 2004, I am supported by NSF grant DMS-0400727 . During the fall 2005 semester, I am teaching 18.014: Calculus with Theory . I am also a co-organizer of the Harvard-MIT Algebraic Geometry Seminar , and of the Brandeis-Harvard-MIT-Northeastern Joint Mathematics Colloquium . For more about me, see below This site is larger than you might expect; try the navigation bar and the site map for getting around. Enjoy! Kiran S. Kedlaya Department of Mathematics , Room Massachusetts Institute of Technology 77 Massachusetts Avenue Cambridge, MA 02139-4307 USA phone: (617) 253-2946 (on campus, 3-2946) Office hours: Wednesday 12:30-1:30 email: ked laya[at] either of mit[dot]edu or math[dot]mit[dot]edu Beware that I do not always acknowledge unsolicited emails.

53. Algebraic Geometry Authors/titles Recent Submissions Subjclass Number Theory; algebraic geometry; Combinatorics MSC-class 14F42 Subj-class algebraic geometry; Representation Theory http://arxiv.org/list/math.AG/recent

Algebraic Geometry Authors and titles for recent submissions Fri, 16 Sep 2005 Thu, 15 Sep 2005 Wed, 14 Sep 2005 Tue, 13 Sep 2005 ... Mon, 12 Sep 2005 Fri, 16 Sep 2005 math.AC/0509340 abs ps pdf other Title: Finiteness of extension functors of local cohomology modules Authors: Mohammad T. Dibaei Siamak Yassemi Comments: 5 pages Subj-class: Commutative Algebra; Algebraic Geometry MSC-class: math.AG/0509361 abs ps pdf other Title: Localization in quiver moduli Authors: Markus Reineke Comments: 25 pages Subj-class: Algebraic Geometry; Representation Theory math.AG/0509346 abs ps pdf other Title: Rational Lagrangian fibrations on punctual Hilbert schemes of K3 surfaces Authors: D. Markushevich Comments: 23 pages Subj-class: Algebraic Geometry MSC-class: math.AG/0509324 abs ps pdf other Title: Elliptic structures on weighted three-dimensional Fano hypersurfaces Authors: Ivan Cheltsov Comments: 105 pages Subj-class: Algebraic Geometry MSC-class: Thu, 15 Sep 2005 math.RT/0509303 abs ps pdf other Title: Authors: Jean-Yves Charbonnel (IMJ) Comments: 9 pages in french Subj-class: Representation Theory; Algebraic Geometry

54. IMSAS Staff - Dr Chris Woodcock, University Of Kent University of Kent at Canterbury. Commutative algebra, algebraic geometry and algebraic number theory; padic analogues of classical functions and their applications in number theory. http://www.kent.ac.uk/ims/people/cfw/index.htm

Skip search Search: all of kent.ac.uk IMSAS only text only University of Kent Dr Chris Woodcock You are here: Kent home ims people cfw Senior Lecturer in Pure Mathematics Pure Mathematics Group Publications Room Telephone internal 3803 external +44 1227 823803 Email C.F.Woodcock@kent.ac.uk Interests: Commutative algebra, algebraic geometry and algebraic number theory; p-adic analogues of classical functions and their applications in number theory. contact us at ims_secs@kent.ac.uk Skip browse form Browse: Main website sections About the University Maps and directions Courses and studying at Kent Research Services for business Schools and colleges Arts, leisure and public events Conference, functions and holidays Departments and people Alumni, families and friends Student and staff intranet News, press releases and job vacancies

55. ICTP Lecture Notes Series Moduli Spaces in algebraic geometry Editor L. Goettsche (ICTP) Donaldson Invariants in algebraic geometry Sources PS , PDF ; Lothar Goettsche 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

56. Noam D. Elkies Home Page Harvard. Number theory, algebraic geometry. Preprints, tables in computational number theory. http://abel.math.harvard.edu/~elkies/

Noam D. Elkies Professor, Department of Mathematics Harvard University E-Mail elkies@math.harvard.edu Work Address Department of Mathematics, Harvard University, Cambridge, MA 02138. Work Telephone fax Mathematics Music Chess links Miscellaneous writings etc. Please ignore these HTML tests. sample link #1 sample link #2 sample link #3(

57. Publications & Printing Sevices Vanishing Theorems and Effective Results in algebraic geometry Moduli Spaces in algebraic geometry Editor L. Goettsche (ICTP) http://www.ictp.trieste.it/~pub_off/lectures/

Skip navigation home page mission and legacy organization ... ictp home LNS archive ICTP Lecture Notes Series archive 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. Volume 20 (ISBN 92-95003-30-6) - August 2005 Nuclear Reaction Data and Nuclear Reactors: Physics, Design and Safety Editors: M. Herman (National Nuclear Data Center, NY, USA), N. Paver (Univ. Trieste and INFN, Italy) Volume 19 (ISBN 92-95003-28-4) - August 2004 Intersection Theory and Moduli Editors: E. Arbarello (Univ. La Sapienza, Roma, Italy), G. Ellingsrud (Univ. Oslo, Norway), L. Goettsche (ICTP) Volume 18 (ISBN 92-95003-26-8) - May 2004 Invited Presentations, College on Soil Physics 2003 Editors: D.M. Gabriels (Univ. Ghent, Belgium), G. Ghirardi (Univ. Trieste, Italy), D.R. Nielsen (Univ. California, USA), I. Pla Sentis (Univ. Lleida, Spain), E.L. Skidmore (Kansas State Univ., USA)

58. Zuniga-Galindo, Wilson Barry University. algebraic geometry, number theory, padic analysis. http://euclid.barry.edu/~zuniga/

Barry University W. A. Zuniga-Galindo Assistant Professor of Computer Science and Mathematics Office Address Department of Mathematics and Computer Science 11300 N.E. Second Avenue, Miami Shores, Florida 33161 Email Address wzuniga@mail.barry.edu Office Phone SCHEDULE TEACHING PUBLICATIONS

59. Jing Yu Academia Sinica, Taiwan. Number theory, Arithmetical algebraic geometry. Arithmetic of function fields, transcendence theory. Symbolic computation. http://www.sinica.edu.tw/math/html/research/JY-e.html

Jing Yu ¡@¡@Jing Yu received a B.S. in Mathematics from National Taiwan Normal University. Afterwards he went to the United States and studied Mathematics at Yale University with Serge Lang. He went back to Taiwan immediately after receiving his Ph.D in 1980 and joined the Academia Sinica as an associated research fellow. In the year 1982/84 he traveled to France, as Boursier du gouvernement francais at Orsay (Universite de Paris-Sud). He was promoted to research fellow by the Academia Sinica in 1985. In the year 1987/88, he was a member of the Institute for Advanced Study at Princeton. He has also been a visiting member at the Max Planck Institut fur Mathematik in Germany. ¡@¡@As a descendent of the Artin school, Jing Yu is interested in all phases of Number Theory and Arithmetical Algebraic Geometry. In recent years he has done major works in the arithmetic of function fields, especially transcendence theory. He is also interested in doing symbolic computations with computer. ¡@¡@ Publications A Cuspidal class number formula for the modular curves X(N) , Mathematische Annalen, 252(1980), 197-216.

60. Barry Mazur Homepage Harvard University. Number theory, automorphic forms, arithmetic algebraic geometry. Papers and work in progress. http://www.math.harvard.edu/~mazur/

Barry Mazur Home page Barry Mazur Resarch Interests Barry Mazur Math Sci papers Barry Mazur Current Projects Barry Mazur Home page Barry Mazur Resarch Interests Barry Mazur Math Sci papers Barry Mazur Current Projects ... Barry Mazur Curriculum Vitae

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