1. Dror Bar-Natan:Classes:2001-02:Algebraic Topology Geometry:The Final Exam Dror BarNatan Classes 2001-02 Fundamental Concepts in Algebraic Topology Thebasic idea of algebraic topology via the Brouwer fixed point theorem. http://www.math.toronto.edu/~drorbn/classes/0102/AlgTop/Final.html

Dror Bar-Natan Classes Fundamental Concepts in Algebraic Topology The Final Exam There will be a 3-hours long final exam. The material taught in this class was important and significant, and thus the main purpose of the exam, as I see it, is to encourage you to review that material and to verify that you've understood the main points. Ergo there will be emphasis on the deep understanding of direct class material. The bit about creativity will have a relatively small overall weight and will be there mostly to make happy those of you who really do need a challenge. The questions will be open-ended: "Say everything you know about the Chukumuku Theorem", for example. A Sample is Worth a Thousand Words! The exam may well be very hard, but as a whole I am happy with this class and unless the results will be appallingly dismal, they will be renormalized to an above-the-average scale. HW grades will only serve as "magen". Moed Aleph will be on July 11th at 10:00-13:00 at Levin 8. Moed Beth will be on August 28th at 10:00-13:00 at Math. 2 (I will not be present on Moed Beth). There will be a review session before the exam, on July 7th at 10:00. The purpose of the review session will mostly be to read this page out loud and discuss whatever the students will raise. In principle, all that was discussed in class is fair game. Topics that we discussed with precision, I expect you to know with precision. Topics on which I gave no details (and didn't indicate the details as "easy homework exercises"), you are only supposed to know to the same level. For your convenience, here is a list of the topics covered in the course, drawn from my own notes:

2. Dror Bar-Natan:Classes:2001-02:Algebraic Topology Geometry:Moed Aleph Riddle Dror BarNatan Classes 2001-02 Fundamental Concepts in AlgebraicTopology Moed Aleph Riddle. click for the solution. http://www.math.toronto.edu/~drorbn/classes/0102/AlgTop/RiddleA.html

Dror Bar-Natan Classes Fundamental Concepts in Algebraic Topology Moed Aleph Riddle click for the solution

3. Geometry And Topology Geometry and Topology at Georgia Tech. A significant 1992 I am interestedin topology, geometry and its relation to mathematical physics. Evans http://www.math.gatech.edu/~harrell/GP/Rsrch/geotop.html

Geometry and Topology at Georgia Tech A significant development at Georgia Tech is the high number of recent hires in geometry and topology. This active research group runs three geometry/topology seminars, each of which has as a major component teaching graduate students. See Margaret Symington's home page for links to the seminar homepages. We are in the process of overhauling our graduate course offerings in geometry, topology and algebra. These now include one year of algebra, one year of differential geometry alternating with one year of algebraic geometry, and one year of algebraic topology alternating with one year of differential and geometric topology. Our course descriptions can be found at: http://www.math.gatech.edu/academic/courses/index.html?class=g Faculty in Geometry and Topology Saugata Basu, Assistant Professor [Joint with CoC] saugata@math.gatech.edu (404)-894-2416, Skiles 116 My research interests are in computational algebra and geometry, with special focus on algorithmic real algebraic geometry and topology. I am also interested in the applications of techniques from computational algebraic geometry to problems in discrete geometry and theoretical computer science. Igor Belegradek [Expected arrival Fall 2003] I work in Riemannian geometry, studying the interplay between curvature and topology. My other interests include rigidity and flexibility of geometric structures, geometric analysis, and asymptotic geometry of groups and spaces.

4. Mathematical Resources: Topology (Math Links By Bruno Kevius) Topology; New Ideas about Knots by Nancy Casey topology geometry; OrderParameters, Broken Symmetry, and Topology by James P. Sethna; http://www.abc.se/~m9847/matre/topol.html

Mathematical Resources Math Links by Bruno Kevius This list is continually under development Topology not a complete list, only what I happened to see... Algebraic Topology Discussion List British Topology maintained by Andrew Baker Crystallographic Topology by Carroll K. Johnson Dynamical Systems Home Page Gallery of Mathematical Surfaces - T. Nordstrand Games on Graphs (Mega Mathematics) Geometry and Topology (Journal) Geometry and Topology Address Book [University of Florida] Geometric Group Theory Graph Theory - S. Locke at Florida Atlantic University Graph Theory Glossary by Chris Caldwell Graph Theory Lessons Graph Theory Tutorials by Chris K. Caldwell Graphics Archive - Special Topics:Topology Graphics Archive - Video Productions:Not Knot Handbook of Algebraic Topology Hopf Topology Archive by Clarence Wilkerson, Purdue University A history of Topology The KnotPlot Site by Robert G. Scharein Knots on the Web (Peter Suber) Level Set Methods J. A. Sethian, UC Berkeley Links to low-dimensional topology by Mark Brittenham Mathematical knots Mathematics and Knots Exhibition University of Wales, Bangor

5. Librairie Eyrolles, Topology, Geometry, And Algebra : Le Livre De A.Adem G.Carls Translate this page volume presents proceedings conference topology geometry algebra interactions newdirections held honor r james milgram stanford university august 1999 meeting http://www.calindex.com/livre-sciences-techniques-mathematiques-mathematiques-pa

Accueil Meilleures ventes Nous contacter recherche rapide Informatique Entreprise-Management Pratique Sciences et techniques Service Max Votre e-mail : Mathématiques Découverte des mathématiques Calcul scientifique Statistiques, probabilités et gestion ... Anthropologie Paléontologie Aide Qui sommes-nous? Comment commander sur le site La librairie Eyrolles recrute Fiche d'ouvrage Topology, Geometry, and Algebra Interactions and New Directions Alejandro Adem Gunnar Carlsson Ralph Cohen American Mathematical Society - 01/2002 17,6 x 25,4 - 254 pages ISBN: 0-8218-2063-X Prix public : 101,30 EUR Prix eyrolles.com : 96,23 EUR (631,26 FRF) Sciences et Techniques Topologie This volume presents the proceedings from the conference on "Topology, Geometry, and Algebra: Interactions and New Directions" held in honor of R. James Milgram at Stanford University in August 1999. The meeting brought together distinguished researchers from a variety of areas related to algebraic topology and its applications. Papers in the book present a wide range of subjects, reflecting the nature of the conference. Topics include moduli spaces, configuration spaces, surgery theory, homotopy theory, knot theory, group actions, and more. Particular emphasis was given to the breadth of interaction between the different areas. Contents G. Carlsson On Jim Milgram's mathematical work

6. Geometry And Topology Peruse this international topology journal that posts its main papers. Includes information for authors and users. http://www.maths.warwick.ac.uk/gt

7. Events: Topology, Geometry And Quantum Field Theory Mathematical Institute, University of Oxford, UK; 2429 June 2002.Category Science Physics Mathematical Physics Events Past Events...... topology, geometry and Quantum Field Theory. geometry other. Its purpose wasto bring experts in topology, geometry and string theory together. http://www.maths.ox.ac.uk/notices/events/special/tgqfts/

University of Oxford Mathematical Institute Locator: Home Events Site Map Topology, Geometry and Quantum Field Theory Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of supersymmetry and string theory. The topics of this symposium were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Its purpose was to bring experts in topology, geometry and string theory together. The Symposium took place in Oxford from 24-29 June 2002, and the conference dinner was held in honor of Graeme Segal's 60th birthday. The organizer was U. Tillmann. Photos Conference photos are now available Proceedings All speakers and participants of the symposium are invited to contribute. Submissions from other members of the scientific community will also be considered. The proceedings will be refereed. The aim is to have a mixture of high quality survey articles, preliminary reports on important research developments, and research articles of a good standard. Please note the following deadlines: 15 Sep. 2002

8. Pure Mathematics Research, Department Of Mathematics, Univ. Of Manchester, UK topology, geometry and Combinatorics Group.Category Science Math topology Research Groups......This page describes the research ofthe topology, geometry and CombinatoricsGroup in the Mathematics Department, University of Manchester, UK. http://www.ma.man.ac.uk/DeptWeb/Groups/Pure/Topology.html

DEPARTMENT OF MATHEMATICS Topology, Geometry and Combinatorics Welcome to our Homepage! Research Interests Seminars Staff Members Postgraduate Opportunities The Topology, Geometry and Combinatorics Group plays a major role in the Department's research activities. We have an international network of colleagues and collaborators, with whom we often exchange visits in order to further our programmes. We share the weekly Manchester Geometry Seminar with out neighbours at UMIST, and have other links through the Transpennine Topology Triangle . We also organise occasional seminars of a more specialised nature. We offer supervision in many projects leading to a postgraduate degree, within the framework of the Department's overall postgraduate program TOPOLOGY is often referred to as "rubber sheet geometry", and is one of the largest and most important areas of mathematics developed this century. Increasingly, it is being applied in fields such as algebra, geometry, and dynamics, and in other disciplines such as computer science, economics, and theoretical physics. GEOMETRY itself is a much older subject, but modern research is no less exciting, and has links with almost every other branch of mathematics. For example, the infamous "travelling saleperson problem" is based on the geometry of polytopes, yet involves ultramodern theories of computational complexity. COMBINATORICS is basically the study of structures associated to finite sets, and underpins much of theoretical computer science. Nevertheless, its methods are assuming increasing importance wherever complicated algebraic or geometric problems arise, and are becoming an indispensable part of the modern mathematician's toolkit.

9. UCSD Topology/Geometry Seminars, Winter 2003UCSD Topology/Geometry Seminars, Win This area of mathematics is about the assignment of geometric structures to topological spaces, so that they "look like" geometric spaces. topology, symmetric knots, and giant raytraced floating letters. The Thurston Project experimental differential geometry, http://math.ucsd.edu/~justin/topseminar.html

UCSD Topology/Geometry Seminars, Spring 2003 Math 292A, Spring 2003, Fridays 4:00-5:30 in room 7218. Organisers: Justin Roberts, Peter Teichner April 4: Denis Auroux (Ecole Polytechnique) Singular plane curves and symplectic 4-manifolds April 11: Anna Grinberg (UCSD) Introduction to stratifolds April 18: Anna Grinberg (UCSD) Stratifold structure on Mather's abstract pre-stratified spaces April 25: Chuck Doran (Columbia) Integral Structures and Mirror Symmetry justin@math.ucsd.edu Image of (-2,3,-5) pretzel knot from Rob Scharein's KnotPlot Site

10. Texas Geometry And Topology Conference Held twice a year. Includes almost all universities and colleges in Texas, Arkansas, Louisiana, New Mexico, and Oklahoma. Since 1994, fall meetings have been national events, attracting participants from around the country. http://www.math.tamu.edu/research/workshops/TGTC/

Texas Geometry and Topology Conference Serving the Mathematical Community Since 1989 Mission Statement The Texas Geometry and Topology Conference is dedicated to the enhancement of both the educational and the research atmosphere of the community of geometers and topologists in Texas and surrounding states. The Conference has three specific goals: The Conference is committed to bring researchers of national and international stature to the region to discuss their research and to interact with mathematicians from Texas and surrounding states. The Conference makes it possible for the community of geometers and topologists from Texas and surrounding states (a huge geographic region) to meet and share mathematics on a regular basis, which both stimulates individual research and generates productive cooperative efforts between schools. The Conference is dedicated to the development of graduate students and young faculty in geometry and topology. Upcoming and Recent Conferences 60th Birthday Celebration for Karen K. Uhlenbeck 28th Meeting at University of Texas at Austin , October 11-13, 2002.

11. Oporto Meetings On Geometry, Topology And Physics Formerly Meetings on Knot Theory and Physics held annually in Oporto, Portugal to bring together mathematicians and physicists interested in the interrelation between geometry, topology and physics. http://www.math.ist.utl.pt/~jmourao/om/

Oporto Meetings on Geometry, Topology and Physics Oporto Meetings on Geometry, Topology and Physics (formerly known as the Oporto Meetings on Knot Theory and Physics) take place in Oporto, Portugal, every year. The aim of the Oporto meetings is to bring together mathematicians and physicists interested in the inter-relation between geometry, topology and physics and to provide them with a pleasant and informal environment for scientific interchange. Next Meeting (July 17-20, 2003) XIth Meeting (July 12-15, 2002) ... Main Page of TQFT Club Free Counter from Counterart

12. Geometry/Topology Address Book Edition 08.98.R1 (August 14, 1998). http://www.math.ufl.edu/math/abook.html

From nicas@mcmail.CIS.McMaster.CA Fri Aug 14 09:32 EDT 1998 Date: Fri, 14 Aug 1998 09:33:01 -0400 (EDT) From: Andrew Nicas

13. The London Topology And Geometry Seminar geometry and topology Address Book This page was last modified on May 07, 1997 Please report problems to cws@math.ufl.edu. Table of Contents Additions and Corrections http://www.ma.ic.ac.uk/~rpwt/seminar.html

The London topology and geometry seminar The seminar is held jointly by Imperial College King's College , and Queen Mary , University of London, with visitors from Cambridge Oxford Warwick and other universities. It is designed for anyone visiting London on a Friday afternoon. Between us we have interests in topology, algebraic, differential and symplectic geometry, dynamical systems and mathematical physics. So the audience can be very varied depending on the week's topic. To be put on the email list to be notified about seminars, email "subscribe you@address" to geometry-request@ic.ac.uk . Similarly to un subscribe. The organisers are: Martin Bridson Shaun Bullett Simon Donaldson Bill Harvey , and Richard Thomas Some older organisers of the London Geometry seminar: Du Val Roth , and Semple Timetable Friday 10th January. Room 140, Huxley Building, Imperial College Ezra Getzler (Northwestern): The Virasoro conjecture for Gromov-Witten invariants Friday 24th January. Room 140, Huxley Building, Imperial College Ian Leary (Southampton): L^2-cohomology: an introduction and some recent results Friday 31st January.

14. The Geometry Junkyard: Geometric Topology Numerous links in the geometry Junkyard. http://www.ics.uci.edu/~eppstein/junkyard/topo.html

Geometric Topology This area of mathematics is about the assignment of geometric structures to topological spaces, so that they "look like" geometric spaces. For instance, compact two dimensional surfaces can have a local geometry based on the sphere (the sphere itself, and the projective plane), based on the Euclidean plane (the torus and the Klein bottle), or based on the hyperbolic plane (all other surfaces). Similar questions in three dimensions have more complicated answers; Thurston showed that there are eight possible geometries, and conjectured that all 3-manifolds can be split into pieces having these geometries. Computer solution of these questions by programs like SnapPea has proved very useful in the study of knot theory and other topological problems. Acme Klein Bottle . A topologist's delight, handcrafted in glass. Are most manifolds hyperbolic? From Dave Rusin's known math pages. Boy's surface , visualized with Mathematica and GeomView by Amy Hawthorne and Jenny Posson-Brown. See also the Geometry Center Boy's Surface exhibit Paul Bourke's Boy's Surface images , Tore Nordstrand's Boy Surface ray-tracing and explanation an asymmetric animated gif from the Harvard zoo Michael Wittman's CS284 project to develop polygonal and spline-based Boy's surfaces , and A. Fomenko's constructions of Boy's surface from dissected Klein bottles

15. 2003 - Special Year On Algebraic Geometry And Topology Australian National University, Canberra; 2003. http://wwwmaths.anu.edu.au/events/specialyear-2003/

M ATHEMATICAL S CIENCES ... NIVERSITY 2003 - Special Year on Algebraic Geometry and Topology with partial financial support provided by the Australian Mathematical Sciences Institute Events Visitors Registration ... MSI The year 2003 is a Special Year on Algebraic Geometry and Topology within the Mathematical Sciences Institute There will be some major events during this year, such as conferences, workshops and symposia. However, the Special Year is also a chance for local, national and international mathematicians to simply get together. Please use the menu to navigate these pages, and feel free to register online Reminder (28.2.2003) We remind the participants that it is to their advantage to register early. The nicest accommodation will go first, and the people who register late will end up with less desirable places to stay. It is to your advantage to register early, even if your dates are only approximate. Registration should be done electronically, on the web page. The program for the conferences will be set up shortly before the conferences start, on the basis of submitted abstracts. Everyone is invited to submit abstracts. Amnon Neeman Amnon.Neeman@maths.anu.edu.au

16. Topology And Geometry Jeff Weeks'. topology and geometry Software. Fun and Games http://www.northnet.org/weeks

Jeff Weeks' Topology and Geometry Software Fun and Games for ages 10 and up Torus and Klein Bottle games (online) Kali (Windows, Macintosh) KaleidoTile (Windows, Macintosh) Classroom Materials for teachers grades 6-10 Exploring the Shape of Space Curved Spaces for software developers Computer Graphics in Curved Spaces (OpenGL, Direct3D) Research Software for mathematicians SnapPea (Linux, Macintosh, Windows) awards and links

17. Projects In Topology, Geometry And Combinatorics, Department Of Mathematics, Uni This page describes the research projects of the topology, geometry and CombinatoricsGroup in the Mathematics Department, University of Manchester, UK. http://www.ma.man.ac.uk/DeptWeb/Groups/Pure/TopologyProjects.html

DEPARTMENT OF MATHEMATICS Projects in Topology, Geometry and Combinatorics Projects with Peter Eccles Ron Ledgard Nige Ray Igor Rivin ... Grant Walker , and Reg Wood The following list gives outlines of some representative MPhil and PhD projects for which we offer supervision. The list is not exhaustive, and we are always willing to listen to constructive requests and suggestions on related topics! We all enjoy working with postgraduate students, so if you fancy the thought of researching into one or more of these areas, send us a message now. If you feel you need further information before making an application, we are likely to invite you to Manchester at our expense and talk through the possibilities with you in person; we will arrange for you to meet some of our current students, who will also show you around. Projects with Peter Eccles SELF-INTERSECTIONS OF IMMERSIONS: Examples of immersions are given by the figure eight in the plane (an immersion of the circle with one double point), by the usual picture of the Klein bottle in three-space (which has a circle of double points), and by Boy's surface, a model of the projective plane in three-space with an immersed circle of double points and a single triple point. Although my initial research concerned the homotopy of infinite loop spaces (see the projects on coherence ), I was amazed to discover applications to the study of manifolds which arise as the self-intersections of immersions; these led me to the solution of problems which had been outstanding since the pioneering work of Hassler Whitney in the 1940s. My viewpoint combines many fundamental aspects of algebraic and differential topology, and offers projects which involve aspects of those in

18. Topology, Geometry And Quantum Field Theory: Conference Photographs topology, geometry, and Quantum Field Theory Oxford. 2429 June 2002. ConferencePhotographs. Photograph of all participants (553 K). Small groups http://www.maths.ox.ac.uk/notices/events/special/tgqfts/photos/

Topology, Geometry, and Quantum Field Theory Oxford 24-29 June 2002 Conference Photographs Photograph of all participants (553 K) Small groups: Witten, Moore, Segal, Nekrasov Candelas, Segal, Freed, Hitchin, Dijkgraaf A thinking audience A full house Individual speakers: R. Cohen R. Dijkgraaf E. Frenkel M. Hopkins ... E. Witten

19. Werner Ballmann Rheinische FriedrichWilhelms-Universit¤t Bonn. Differential geometry; geometric topology. http://www.math.uni-bonn.de/people/ballmann/

Werner Ballmann Mathematisches Institut D-53115 Bonn E-mail: ballmann (in domain math.uni-bonn.de) Fax: +49-228-737298 Sprechstunde: nach der Vorlesung Skripten/Lecture Notes Forschung/Research Differential Geometry in Bonn Oberseminar Differentialgeometrie

20. Rutgers Topology/Geometry Seminar Rutgers topology/geometry Seminar. Tuesdays (usually) 430530 in Room525. Organized by Paul Feehan (feehan@math.rutgers.edu), Steve http://www.math.rutgers.edu/~ctw/seminar/

Rutgers Topology/Geometry Seminar Tuesdays (usually) 3pm -4pm in Room 525. Organized by Paul Feehan (feehan@math.rutgers.edu), Steve Ferry (sferry@math.rutgers.edu), Feng Luo (fluo@math.rutgers.edu) and Chris Woodward (ctw@math.rutgers.edu) Tues Jan 21 Rama Mishra "Polynomial Representation of Knots". Tues Jan 28 Colloquium: Miyamoto Speaker: Masahiko Miyamoto, University of Tsukuba Title: An introduction to a new stage of vertex operator algebra theory Tues Feb 11 No talk scheduled, see Feb 12 below. Wednesday, Feb. 12: 1:10-2:10 pm (Special Time and Date!) Analysis and Top/Geom seminar : Mu-Tao Wang of Columbia University Tues, Feb 18 Cancelled because of snow. Tues, Feb 25 Yuka Taylor from Rutgers, New Brunswick: Semiclassical three-manifold invariants. Tues Mar 4 Phillip Boalch from Columbia Tues Mar 11 Ezra Getzler from Northwestern. SPECIAL TIME AND PLACE: 4pm in Hill 425. Title: The Toda lattice and Gromov-Witten invariants of C P^1. Tues Mar 25 Prov. John Luecke from UT Austin and IAS. Unknotting the union of prime tangles Tue, April 1. Adam Sikora from IAS.

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