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Karen Vogtmann

Index Karen Vogtmann

Karen Vogtmann (born July 13, 1949 in Pittsburg, California Notices of the American Mathematical Society. September 2002, Volume 49, Issue 8, pp. 970–981) is an American mathematician working primarily in the area of geometric group theory. [1]

77 relations: Advances in Applied Mathematics, Aix-Marseille University Faculty of Sciences, Alexander von Humboldt Foundation, Algebraic & Geometric Topology, Algebraic K-theory, American Mathematical Society, Annales Scientifiques de l'École Normale Supérieure, ArXiv, Association for Women in Mathematics, Automorphism, Brandeis University, Bulletin of the American Mathematical Society, CAT(k) space, Classifying space, Clay Mathematics Institute, Cohomology, Columbia University, Commentarii Mathematici Helvetici, Conformal geometry, Cornell University, Crelle's Journal, Edinburgh Mathematical Society, European Congress of Mathematics, European Mathematical Society, Field (mathematics), Free group, Geometriae Dedicata, Geometric and Functional Analysis, Geometric group theory, Geometry & Topology, Group (mathematics), Homology (mathematics), Homotopy, Humboldt Prize, International Congress of Mathematicians, Inventiones Mathematicae, Journal of the American Mathematical Society, Lie algebra, List of International Congresses of Mathematicians Plenary and Invited Speakers, London Mathematical Society, Madrid, Mapping class group, Marc Culler, Marta Sanz-Solé, Martin Bridson, Mathematical and theoretical biology, Mathematische Annalen, Maxim Kontsevich, Mladen Bestvina, National Science Foundation, ..., New Orleans, Noether Lecture, Notices of the American Mathematical Society, Orthogonal group, Out(Fn), Peter Shalen, Phylogenetic tree, Pittsburg, California, Quadratic form, Quotient space (topology), Rational number, Real tree, Riemann surface, Royal Society, Royal Society Wolfson Research Merit Award, Science News, Simplicial complex, Subgroup, Teichmüller space, Topology (journal), Train track map, University of California, Berkeley, University of Michigan, University of Utah, University of Warwick, Virtually, William Thurston. Expand index (27 more) »

Advances in Applied Mathematics

Advances in Applied Mathematics is a peer-reviewed mathematics journal publishing research on applied mathematics.

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Aix-Marseille University Faculty of Sciences

Aix-Marseille University Faculty of Sciences is one of the faculties of Aix-Marseille University.

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Alexander von Humboldt Foundation

The Alexander von Humboldt Foundation (Alexander von Humboldt-Stiftung) is a foundation established by the government of the Federal Republic of Germany and funded by the Federal Foreign Office, the Federal Ministry of Education and Research, the Federal Ministry for Economic Cooperation and Development as well as other national and international partners; it promotes international academic cooperation between excellent scientists and scholars from Germany and from abroad.

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Algebraic & Geometric Topology

Algebraic & Geometric Topology is a peer-reviewed mathematics journal published quarterly by Mathematical Sciences Publishers.

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Algebraic K-theory

Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory.

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American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Annales Scientifiques de l'École Normale Supérieure

No description.

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ArXiv

arXiv (pronounced "archive") is a repository of electronic preprints (known as e-prints) approved for publication after moderation, that consists of scientific papers in the fields of mathematics, physics, astronomy, computer science, quantitative biology, statistics, and quantitative finance, which can be accessed online.

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Association for Women in Mathematics

The Association for Women in Mathematics (AWM) is a professional society whose mission is to encourage women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity for and the equal treatment of women and girls in the mathematical sciences.

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Automorphism

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

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Brandeis University

Brandeis University is an American private research university in Waltham, Massachusetts, 9 miles (14 km) west of Boston.

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Bulletin of the American Mathematical Society

The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.

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CAT(k) space

In mathematics, a \mathbf space, where k is a real number, is a specific type of metric space.

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Classifying space

In mathematics, specifically in homotopy theory, a classifying space BG of a topological group G is the quotient of a weakly contractible space EG (i.e. a topological space all of whose homotopy groups are trivial) by a proper free action of G. It has the property that any G principal bundle over a paracompact manifold is isomorphic to a pullback of the principal bundle EG → BG.

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Clay Mathematics Institute

The Clay Mathematics Institute (CMI) is a private, non-profit foundation, based in Peterborough, New Hampshire, United States.

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Cohomology

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups associated to a topological space, often defined from a cochain complex.

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Columbia University

Columbia University (Columbia; officially Columbia University in the City of New York), established in 1754, is a private Ivy League research university in Upper Manhattan, New York City.

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Commentarii Mathematici Helvetici

The Commentarii Mathematici Helvetici is a peer-reviewed scientific journal in mathematics.

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Conformal geometry

In mathematics, conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space.

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Cornell University

Cornell University is a private and statutory Ivy League research university located in Ithaca, New York.

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Crelle's Journal

Crelle's Journal, or just Crelle, is the common name for a mathematics journal, the Journal für die reine und angewandte Mathematik (in English: Journal for Pure and Applied Mathematics).

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Edinburgh Mathematical Society

The Edinburgh Mathematical Society is a mathematical society for academics in Scotland.

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European Congress of Mathematics

The European Congress of Mathematics (ECM) is an international congress of the mathematics community, held every four years.

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European Mathematical Society

The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe.

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Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

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Free group

In mathematics, the free group FS over a given set S consists of all expressions (a.k.a. words, or terms) that can be built from members of S, considering two expressions different unless their equality follows from the group axioms (e.g. st.

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Geometriae Dedicata

Geometriae Dedicata is a mathematical journal, founded in 1972, concentrating on geometry and its relationship to topology, group theory and the theory of dynamical systems.

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Geometric and Functional Analysis

Geometric and Functional Analysis (GAFA) is a mathematical journal published by Birkhäuser, an independent division of Springer-Verlag.

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Geometric group theory

Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the groups in question are realized as geometric symmetries or continuous transformations of some spaces).

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Geometry & Topology

Geometry & Topology is a peer-refereed, international mathematics research journal devoted to geometry and topology, and their applications.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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Homology (mathematics)

In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.

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Homotopy

In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.

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Humboldt Prize

The Humboldt Prize, also known as the Humboldt Research Award, is an award given by the Alexander von Humboldt Foundation of Germany to internationally renowned scientists and scholars who work outside of Germany.

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International Congress of Mathematicians

The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics.

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Inventiones Mathematicae

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

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Journal of the American Mathematical Society

The Journal of the American Mathematical Society (JAMS), is a quarterly peer-reviewed mathematical journal published by the American Mathematical Society.

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Lie algebra

In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity.

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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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Madrid

Madrid is the capital of Spain and the largest municipality in both the Community of Madrid and Spain as a whole.

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Mapping class group

In mathematics, in the sub-field of geometric topology, the mapping class group is an important algebraic invariant of a topological space.

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Marc Culler

Marc Edward Culler (born November 22, 1953) is an American mathematician who works in geometric group theory and low-dimensional topology.

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Marta Sanz-Solé

Marta Sanz-Solé (born 19 January 1952 in Sabadell, Barcelona) is a Catalan mathematician specializing in probability theory.

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Martin Bridson

Martin Robert Bridson is a Manx mathematician.

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Mathematical and theoretical biology

Mathematical and theoretical biology is a branch of biology which employs theoretical analysis, mathematical models and abstractions of the living organisms to investigate the principles that govern the structure, development and behavior of the systems, as opposed to experimental biology which deals with the conduction of experiments to prove and validate the scientific theories.

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Mathematische Annalen

Mathematische Annalen (abbreviated as Math. Ann. or, formerly, Math. Annal.) is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann.

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Maxim Kontsevich

Maxim Lvovich Kontsevich (Макси́м Льво́вич Конце́вич;; born 25 August 1964) is a Russian and French mathematician.

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Mladen Bestvina

Mladen Bestvina (born 1959) is a Croatian-American mathematician working in the area of geometric group theory.

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National Science Foundation

The National Science Foundation (NSF) is a United States government agency that supports fundamental research and education in all the non-medical fields of science and engineering.

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New Orleans

New Orleans (. Merriam-Webster.; La Nouvelle-Orléans) is a major United States port and the largest city and metropolitan area in the state of Louisiana.

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Noether Lecture

The Noether Lecture is an award and lecture series that honors women "who have made fundamental and sustained contributions to the mathematical sciences".

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Notices of the American Mathematical Society

Notices of the American Mathematical Society is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue.

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Orthogonal group

In mathematics, the orthogonal group in dimension, denoted, is the group of distance-preserving transformations of a Euclidean space of dimension that preserve a fixed point, where the group operation is given by composing transformations.

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Out(Fn)

In mathematics, Out(Fn) is the outer automorphism group of a free group on n generators.

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Peter Shalen

Peter B. Shalen (born c. 1946) is an American mathematician, working primarily in low-dimensional topology.

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Phylogenetic tree

A phylogenetic tree or evolutionary tree is a branching diagram or "tree" showing the evolutionary relationships among various biological species or other entities—their phylogeny—based upon similarities and differences in their physical or genetic characteristics.

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Pittsburg, California

Pittsburg is an industrial city in Contra Costa County, California.

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Quadratic form

In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables.

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Quotient space (topology)

In topology and related areas of mathematics, a quotient space (also called an identification space) is, intuitively speaking, the result of identifying or "gluing together" certain points of a given topological space.

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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Real tree

In mathematics, real trees (also called \mathbb R-trees) are a class of metric spaces generalising simplicial trees.

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Riemann surface

In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.

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Royal Society

The President, Council and Fellows of the Royal Society of London for Improving Natural Knowledge, commonly known as the Royal Society, is a learned society.

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Royal Society Wolfson Research Merit Award

The Royal Society Wolfson Research Merit Award is an award to outstanding scientists holding posts at UK universities, originally announced in 2000.

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Science News

Science News is an American bi-weekly magazine devoted to short articles about new scientific and technical developments, typically gleaned from recent scientific and technical journals.

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Simplicial complex

In mathematics, a simplicial complex is a set composed of points, line segments, triangles, and their ''n''-dimensional counterparts (see illustration).

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Subgroup

In group theory, a branch of mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗.

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Teichmüller space

In mathematics, the Teichmüller space T(S) of a (real) topological (or differential) surface S, is a space that parametrizes complex structures on S up to the action of homeomorphisms that are isotopic to the identity homeomorphism.

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Topology (journal)

Topology was a peer-reviewed mathematical journal covering topology and geometry.

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Train track map

In the mathematical subject of geometric group theory, a train track map is a continuous map f from a finite connected graph to itself which is a homotopy equivalence and which has particularly nice cancellation properties with respect to iterations.

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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 Michigan

The University of Michigan (UM, U-M, U of M, or UMich), often simply referred to as Michigan, is a public research university in Ann Arbor, Michigan.

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University of Utah

The University of Utah (also referred to as the U, U of U, or Utah) is a public coeducational space-grant research university in Salt Lake City, Utah, United States.

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University of Warwick

The University of Warwick is a plate glass research university in Coventry, England.

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Virtually

In mathematics, especially in the area of abstract algebra which studies infinite groups, the adverb virtually is used to modify a property so that it need only hold for a subgroup of finite index.

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William Thurston

William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician.

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References

[1] https://en.wikipedia.org/wiki/Karen_Vogtmann

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