David Epstein (mathematician)
Encyclopedia
David Bernard Alper Epstein FRS (b. 1937) is a mathematician known for his work in hyperbolic geometry
, 3-manifold
s, and group theory
, amongst other fields. He co-founded (with E.C. Zeeman) the University of Warwick
mathematics department and is founding editor of the journal Experimental Mathematics
.
Epstein was awarded the Senior Berwick Prize
by the London Mathematical Society
in 1988.
In 2004 he was elected a Fellow of the Royal Society.
Hyperbolic geometry
In mathematics, hyperbolic geometry is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is replaced...
, 3-manifold
3-manifold
In mathematics, a 3-manifold is a 3-dimensional manifold. The topological, piecewise-linear, and smooth categories are all equivalent in three dimensions, so little distinction is made in whether we are dealing with say, topological 3-manifolds, or smooth 3-manifolds.Phenomena in three dimensions...
s, and group theory
Group theory
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces can all be seen as groups endowed with additional operations and...
, amongst other fields. He co-founded (with E.C. Zeeman) the University of Warwick
University of Warwick
The University of Warwick is a public research university located in Coventry, United Kingdom...
mathematics department and is founding editor of the journal Experimental Mathematics
Experimental Mathematics (journal)
Experimental Mathematics is a quarterly scientific journal of mathematics published by A K Peters, Ltd. until 2004, now by Taylor & Francis. The journal publishes papers in experimental mathematics, broadly construed...
.
Epstein was awarded the Senior Berwick Prize
Berwick Prizes
The Berwick Prize and Senior Berwick Prize are two prizes of the London Mathematical Society awarded in alternating years in memory of William Edward Hodgson Berwick, a previous Vice-President of the LMS. Berwick left some money to be given to the society to establish two prizes...
by the London Mathematical Society
London Mathematical Society
-See also:* American Mathematical Society* Edinburgh Mathematical Society* European Mathematical Society* List of Mathematical Societies* Council for the Mathematical Sciences* BCS-FACS Specialist Group-External links:* * *...
in 1988.
In 2004 he was elected a Fellow of the Royal Society.
Selected publications
- D.B.A. Epstein, Projective planes in 3-manifolds. Proc. London Math. Soc. (3) 11 1961 469–484.
- D.B.A. Epstein and R.L.E. Schwarzenberger, Imbeddings of real projective spaces. Ann. of Math.Annals of MathematicsThe Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study. It ranks amongst the most prestigious mathematics journals in the world by criteria such as impact factor.-History:The journal began as The Analyst in 1874 and was...
(2) 76 1962 180–184. - D.B.A. Epstein, Steenrod operations in homological algebra. Invent. Math.Inventiones MathematicaeInventiones Mathematicae, often just referred to as Inventiones, is a mathematical journal published monthly by Springer Verlag. It was founded in 1966.-Editors:...
1 1966 152–208. - D.B.A. Epstein, Periodic flows on three-manifolds. Ann. of Math. (2) 95 1972 66–82.
- D.B.A. Epstein and E. Vogt, A counterexample to the periodic orbit conjecture in codimension 3. Ann. of Math. (2) 108 (1978), no. 3, 539–552.
- D.B.A. Epstein and A. Marden, Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces. Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984), 113–253, London Math. Soc. Lecture Note Ser., 111, Cambridge Univ. Press, Cambridge, 1987.
- D.B. A. Epstein P.C. Penner, Euclidean decompositions of noncompact hyperbolic manifolds. J. Differential Geom. 27 (1988), no. 1, 67–80.
- Epstein, David B. A.; Cannon, James W.; Holt, Derek F.; Levy, Silvio V. F.; Paterson, Michael S.; Thurston, William P. Word processing in groups. Jones and Bartlett Publishers, Boston, MA, 1992. xii+330 pp. ISBN 0-86720-244-0