21. Knots In Vancouver - Workshop In Knot Theory And 3-Manifolds Workshop in knot theory and 3Manifolds. PIMS, Vancouver, BC, Canada; 1923 July 2004. http://www.pims.math.ca/science/2004/KT3Mwksp/

Question, Comments? Contact rolfsen@math.ubc.ca Download Poster (PDF file - 177kb) Pacific Institute for the Mathematical Sciences Last Modified: Wednesday, 03-Mar-2004 14:38:39 PST

22. Knot Theory Online - The Web Site For Learning More About Welcome to KT (knot theory) Online! Here you can learn about a different kind of Mathematics! http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

23. 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 XVth Meeting (July 20-23, 2006) Main Theme: Mathematical Aspects of Supersymmetry Previous Meetings XIVth Meeting (July 21-24, 2005) XIIIth Meeting (July 16-19, 2004) ... Main Page of TQFT Club Free Counter from Counterart

24. Mathematical Knots Higher dimensional knottheory knot theory is extendible into higher dimensions. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

25. The KnotPlot Site Knot Diagrams from Dowker Codes. Some excellent references on knot theory. Some favourite figures from my thesis (PDF and PostScript) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

26. The Knot Theory Home Page http://library.thinkquest.org/12295/main.html

27. The Geometry Junkyard Knot Theory knot theory There is of course an enormous body of work on knot invariants, the 3manifold topology of knot complements, connections between knot http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

28. BBC ON THIS DAY 4 1985 Teenage Genius Gets A First From 1993, in her midtwenties, Ruth was an assistant professor, then professor, at the University of Michigan studying knot theory. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

29. Mahdavi SUNY Potsdam, NY, USA; 26 June 2003. http://www2.potsdam.edu/mahdavk/Conf.htm

Math. Dept. Registration Financial Support SUNY Potsdam ... Map of Parking Lots Interactions between Representation Theories, Knot Theory, Topology, Quantum Field Theory, Category Theory, and Mathematical Physics. SUNY Potsdam June 2-6, 2003 Speakers S CHEDULES ABSTRACTS This workshop investigates the interactions between Representation Theories, Knot Theory, Topology, quantum Field Theory, Category Theory, and Mathematical Physics. This conference will be of great benefit to the researchers, recent Ph.Ds, and graduate students. Some financial support is available for graduate students, recent Ph.Ds, and others who are qualified. REGISTRATION Total cost of room and board, on Campus, is $206.50 Participants who choose to stay on campus will be housed in Draime Hall SUNY Potsdam Map) Off Campus housing Hotel listing (you need to make your own reservation) a block of rooms has been reserved at Clarkson Inn. For reservation please call 1 800 790 6970, before May 15, 2003($89.00 for single, and$99.00 for double, per night). you need to mention SUNY Potsdam math. conference.

30. The Knot Theory MA3F2 Page New York W. H. Freeman, 1994. 306p Livingston, Charles. knot theory Washington, DC Math. Assoc. Amer., 1993. 240 p. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

31. Knot Theory -- From MathWorld The mathematical study of knots. knot theory considers questions such as the following knot theory. From MathWorldA Wolfram Web Resource. http://mathworld.wolfram.com/KnotTheory.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index DESTINATIONS About MathWorld About the Author Headline News ... Random Entry CONTACT Contribute an Entry Send a Message to the Team MATHWORLD - IN PRINT Order book from Amazon Topology Knot Theory General Knot Theory ... Budney Knot Theory The mathematical study of knots . Knot theory considers questions such as the following: 1. Given a tangled loop of string, is it really knotted or can it, with enough ingenuity and/or luck, be untangled without having to cut it? 2. More generally, given two tangled loops of string, when are they deformable into each other? 3. Is there an effective algorithm (or any algorithm to speak of) to make these determinations? Although there has been almost explosive growth in the number of important results proved since the discovery of the Jones polynomial , there are still many "knotty" problems and conjectures whose answers remain unknown. SEE ALSO: Knot Link [Pages Linking Here] CITE THIS AS: Eric W. Weisstein. "Knot Theory." From

32. A London Mathematical Society Meeting And Workshop London Mathematical Society Meeting and Workshop. University of Liverpool, UK; 58 June 2002. http://www.liv.ac.uk/~pjgiblin/LMSJune02/

London Mathematical Society Meeting and Workshop KNOT THEORY, ALGEBRAIC GEOMETRY AND RELATED TOPICS University of Liverpool, Wednesday 5 June 2002 (LMS Meeting) Thursday 6 - Saturday 8 June 2002 (LMS Workshop) Organising Committee: Hugh Morton, Peter Newstead, Peter Giblin PROGRAMME FOR THE WEDNESDAY LMS MEETING Note that both talks on Wednesday are intended for a general mathematical audience 3.00 LMS Business 3.15 Professor Lou Kauffman (University of Illinois at Chicago): Classifying and applying rational tangles and knots Abstract 4.15 Tea What are the simplest algebraic varieties? Abstract 6.30 for 7 Dinner at Staff House in the University of Liverpool. (The cost for those not being supported by the LMS will be about £18 excluding drinks.) If you wish to attend the Wednesday meeting ONLY... then please send an email to pjgiblin@liv.ac.uk stating whether you wish to attend the dinner in the evening (cost about 18 pounds excluding drinks). See below for travel subsidies for LMS members attending the meeting. PROGRAMME FOR THE 6th-8th JUNE LMS WORKSHOP Changes will be posted from time to time Two 3-lecture courses suitable for postgraduate students: Dr Stavros Garoufalidis (Warwick): The geometry of the Jones ploynomial.

33. CPM Diversion University of Wales, Bangor School of Informatics http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

34. History Of Knot Theory Biographies of early knot theorists. Many early papers on knot theory (in pdf format) including papers by Tait, Kirkman, Little and Thomson. http://www.maths.ed.ac.uk/~aar/knots/

HISTORY OF KNOT THEORY This home page is devoted to the history of knot theory, and is maintained by Jozef Przytycki and Andrew Ranicki. Our e-mail addresses are a.ranicki@edinburgh.ac.uk and przytyck@math.gwu.edu Please email to either of us any suggestions of additional material. BIOGRAPHIES OF EARLY KNOT THEORISTS Links to biographical entries in St. Andrews Mathematics History Archive M.Dehn P.Heegaard T.P.Kirkman J.B.Listing ... W.Wirtinger BIBLIOGRAPHY OF P.G.TAIT Provisional Bibliography prepared by Chris Pritchard, July, 2001 EARLY PAPERS ON KNOT THEORY A.Cayley, On a problem of arrangements, Proc. Royal Soc. Edinburgh, Vol. 9, 98 (1876-7), 338-342 Crum Brown, On a case of interlacing surfaces, Proc. Royal Soc. Edinburgh, Vol. 13, 121 (1885-6), 382-386 M.G.Haseman On knots, with a census of the amphicheirals with twelve crossings Trans. Roy. Soc. Edinburgh, 52 (1917-8), 235-255 also Ph.D thesis, Bryn Mawr College, 1918 M.G.Haseman Amphicheiral knots Trans. Roy. Soc. Edinburgh 52 (1919-20), 597-602. T.P.Kirkman

35. Alissa S. Crans Loyola Marymount University. Higherdimensional algebra Lie theory with elements of category theory, knot theory and Lie algebra cohomology. Publications, thesis. http://myweb.lmu.edu/acrans/

Sydney, Australia July 2005 Alissa S. Crans Assistant Professor Department of Mathematics Loyola Marymount University Office: University Hall 2756 E-Mail: acrans 'AT' lmu 'DOT' edu Address: Department of Mathematics Loyola Marymount University 1 LMU Drive, Suite 2700 Los Angeles, CA 90045 Phone: Fax: Mathematics Curriculum Vitae **For the 2005-2006 academic year, I will be a VIGRE Ross Assistant Professor in the Department of Mathematics of The Ohio State University.** Many people who have never had occasion to learn what mathematics is confuse it with arithmetic and consider it a dry and arid science. In actual fact it is the science which demands the utmost imagination. One of the foremost mathematicians of our century says very justly that it is impossible to be a mathematician without also being a poet in spirit... It seems to me that the poet must see what others do not see, must see more deeply than other people. And the mathematician must do the same. -Sofya Kovalevskaya, 1890

36. David A. Krebes' Personal Home Page Includes a thesis work on knot theory and information on schizophrenia. http://www.telusplanet.net/public/dkrebes

Dave Krebes // text for first two pictures I have devoted much of my life to the study of knots . In my Ph.D. thesis (math), I show that a seamless unknotted loop (circle) of rope cannot be twisted, contorted or deformed in such a way as to intersect the interior of a sphere in the pair of arcs shown in the first picture (this is commonly known as a square knot). Equivalently: If a curve intersects the interior of a sphere in a square knot then it is genuinely knotted (ie. unalterably different from a circle). For example in the second picture the loop (follow it around it is indeed a single loop) is knotted: A long rubber band cannot be manipulated into this shape without breaking it and gluing the ends back together. We call this a "topological" property of the square knot because it is a geometric property that is independent of lengths, angles, or rate of curvature (The size of the circle doesn't matter. In fact even an ellipse or a heart shape would do). The mathematical field of "algebraic topology", one of the great scientific achievements of the twentieth century, expresses many such properties in terms of boundaries As another exercise, try showing that if you replace each of the two strands of the square knot with two strands that run side-by-side like a pair of railroad tracks through the sphere, for four strands in total, then the situation is opposite to that described above: There is indeed such a disc, or a way to "tie" ("wrap" might be a better word; there are no free ends to tie with) the circle.

37. B An Introduction To Knot Theory An Introduction to knot theory. Definitions. A Knot is defined as a continuous 11 function from the circle to the 3-sphere. Note 1-1 implies that a knot http://www.inst.bnl.gov/~wei/knots.html

An Introduction to Knot Theory Definitions A Knot is defined as a continuous 1-1 function from the circle to the 3-sphere. Note : 1-1 implies that a knot is not allowed to have self-intersecting points. Such "knots", which are usually called singular knots , are however used in the study of the Vassiliev invariants. Two knots are called ambient isotopic and considered topologically equivalent, iff one may continuously pass from one knot to the other. Let two knots be defined by the 1-1 continuous functions f(s) and f'(s). These knots are ambient isotopic iff there is a function g(s,t), where t belongs to [0,1], and g is continuous with respect to both s and t, such that g(s,0)=f(s) g(s,1)=f'(s) g(s,t)=g(s',t) => s=s' For a discussion of showing knot equivalence click here . For a discussion of showing knot inequivalence click here Charilaos Aneziris, charilaos_aneziris@standardandpoors.com Educational institutions are encouraged to reproduce and distribute these materials for educational use free of charge as long as credit and notification are provided. For any other purpose except educational, such as commercial etc, use of these materials is prohibited without prior written permission.

38. Journal Of Knot Theory And Its Ramifications (JKTR) World Scientific. Connections between knot theory and other aspects of mathematics and natural science. Contents, abstracts from vol.9 (2000). Full text to institutional subscribers. http://www.worldscinet.com/jktr/jktr.shtml

News New Journals Browse Journals Search ... Mathematics Journal of Knot Theory and Its Ramifications (JKTR) This Journal is intended as a forum for new developments in knot theory, particularly developments that create connections between knot theory and other aspects of mathematics and natural science. The stance is interdisciplinary due to the nature of the subject. More News Watch this space for news on JKTR. Feature Articles (Free Online Sample Issue) Vol. 13, No. 6 (September 2004) S-Equivalence of Knots C. Kearton Twist Moves and Vassiliev Invariants Myeong-Ju Jeong, Eun-Jin Kim and Chan-Young Park Graphs with Disjoint Links in Every Spatial Embedding Stephan Chan, Anton Dochtermann, Joel Foisy, Jennifer Hespen, Eman Kunz, Trent Lalonde, Quincy Loney, Katherine Sharrow and Nathan Thomas Knots that Have More than Two Accidental Slopes Katura Miyazaki Edge-Homotopy Classification of Spatial Complete Graphs on Four Vertices Ryo Nikkuni On the Vassiliev Invariant of Type 3 of 2-Bridge Knots Yoko Mizuma The Computation of the Non-Commutative Generalization of the A-Polynomial of the Figure-Eight Knot C n -Moves, Braid Commutators And Vassiliev Knot Invariants

39. New Ideas About Knots Recently I ve discovered two books about knot theory that I can read without feeling So I have been learning a lot of new things about knot theory. http://www.cs.uidaho.edu/~casey931/new_knot/

New Ideas about Knots These ideas aren't new to the world, they are new to me (Nancy). They are things that I have discovered since I wrote the basic MegaMath information about knots Recently I've discovered two books about Knot Theory that I can read- without feeling like I had to learn a foreign language and a foreign alphabet. They make me feel perfectly capable of understanding this branch of mathematics. So I have been learning a lot of new things about knot theory. Here are some of my discoveries... Tangled up pictures of tangled up ropes Knot coloring puzzles Knots and counting Pretzel knots

40. Untangling The Mathematics Of Knots His teacher suggested that he try to prove a theorem from knot theory Every knot is a closed circular braid. Knowing that the theorem was true was a good http://www.cs.uidaho.edu/~casey931/mega-math/workbk/knot/knccbrst.html

Every Knot is a Closed Circular Braid Mathematician Mike Fellows thought up this demonstration of why every knot is a closed circular braid while riding on his bicycle. This is an important lesson for all mathematicians: when you are stuck, don't bang your head on the table! Go outside, take a walk, ride your bike, play catch and gently be aware of the problem you are working on. Make a relaxed place in your brain where a creative solution can build itself. If you have a problem-solving story like this one, send it in! Mike's Problem-Solving Story In order to get into graduate school, Mike had to show that he was mathematically capable and promising. His teacher suggested that he try to prove a theorem from Knot Theory: Every knot is a closed circular braid . Knowing that the theorem was true was a good start. Of course Mike could have looked it up, but the idea was to think it up on his own. One day, he was thinking about it while he was riding his bike. The idea for a way to turn any knot into a closed circular braid ocurred to him. He kept thinking about it, and found a reason why it will always work and wrote it up as a proof . It turned out that Mike's proof wasn't the one that his teacher had in mind. He had thought up a proof that was brand new!

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