23 relations: Alternating knot, Annals of Mathematics, Dehn surgery, Group theory, Hyperbolic manifold, Hyperbolic volume, International Mathematical Union, Inventiones Mathematicae, Knot complement, Knot theory, List of International Congresses of Mathematicians Plenary and Invited Speakers, London Mathematical Society, Low-dimensional topology, Philip Leverhulme Prize, Reidemeister move, St Catherine's College, Oxford, University of California, Berkeley, University of Cambridge, University of Oxford, Unknot, W. B. R. Lickorish, Whitehead Prize, 2π theorem.

## Alternating knot

In knot theory, a knot or link diagram is alternating if the crossings alternate under, over, under, over, as one travels along each component of the link.

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## Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

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## Dehn surgery

In topology, a branch of mathematics, a Dehn surgery, named after Max Dehn, is a construction used to modify 3-manifolds.

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## Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

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## Hyperbolic manifold

In mathematics, a hyperbolic manifold is a space where every point looks locally like hyperbolic space of some dimension.

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## Hyperbolic volume

In the mathematical field of knot theory, the hyperbolic volume of a hyperbolic link is the volume of the link's complement with respect to its complete hyperbolic metric.

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## International Mathematical Union

The International Mathematical Union (IMU) is an international non-governmental organization devoted to international cooperation in the field of mathematics across the world.

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## Inventiones Mathematicae

Inventiones Mathematicae is a mathematical journal published monthly by Springer Science+Business Media.

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## Knot complement

In mathematics, the knot complement of a tame knot K is the three-dimensional space surrounding the knot.

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## Knot theory

In topology, knot theory is the study of mathematical knots.

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## List of International Congresses of Mathematicians Plenary and Invited Speakers

This is a list of International Congresses of Mathematicians Plenary and Invited Speakers.

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## London Mathematical Society

The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS) and the Institute of Mathematics and its Applications (IMA)).

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## Low-dimensional topology

In mathematics, low-dimensional topology is the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions.

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## Philip Leverhulme Prize

The Philip Leverhulme Prize is awarded by the Leverhulme Trust to recognise the achievement of outstanding researchers whose work has already attracted international recognition and whose future career is exceptionally promising.

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## Reidemeister move

In the mathematical area of knot theory, a Reidemeister move is any of three local moves on a link diagram.

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## St Catherine's College, Oxford

St Catherine's College (often called Catz by college members) is one of the constituent colleges of the University of Oxford in England.

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## University of California, Berkeley

The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public research university in Berkeley, California.

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## University of Cambridge

The University of Cambridge (informally Cambridge University)The corporate title of the university is The Chancellor, Masters, and Scholars of the University of Cambridge.

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## University of Oxford

The University of Oxford (formally The Chancellor Masters and Scholars of the University of Oxford) is a collegiate research university located in Oxford, England.

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## Unknot

The unknot arises in the mathematical theory of knots.

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## W. B. R. Lickorish

William Bernard Raymond Lickorish (born 19 February 1938) is a mathematician.

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## Whitehead Prize

The Whitehead Prize is awarded yearly by the London Mathematical Society to multiple mathematicians working in the United Kingdom who are at an early stage of their career.

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## 2π theorem

In mathematics, the 2 theorem of Gromov and Thurston states a sufficient condition for Dehn filling on a cusped hyperbolic 3-manifold to result in a negatively curved 3-manifold.

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