John Edwin Luecke is an American

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

who works in

topology Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...

and

knot theory In topology, knot theory is the study of knot (mathematics), mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined so it cannot be und ...

. He got his Ph.D. in 1985 from the

University of Texas at Austin The University of Texas at Austin (UT Austin, UT, or Texas) is a public university, public research university in Austin, Texas, United States. Founded in 1883, it is the flagship institution of the University of Texas System. With 53,082 stud ...

and is now a professor in the department of mathematics at that institution.

Work

Luecke specializes in knot theory and

3-manifold In mathematics, a 3-manifold is a topological space that locally looks like a three-dimensional Euclidean space. A 3-manifold can be thought of as a possible shape of the universe. Just as a sphere looks like a plane (geometry), plane (a tangent ...

s. In a 1987 paper Luecke,

Marc Culler Marc Edward Culler (born November 22, 1953) is an American mathematician who works in geometric group theory and low-dimensional topology. A native Californian, Culler did his undergraduate work at the University of California at Santa Barbara and ...

, Cameron Gordon, and

Peter Shalen Peter B. Shalen (born c. 1946) is an American mathematician, working primarily in low-dimensional topology. He is the "S" in JSJ decomposition. Life He graduated from Stuyvesant High School in 1962, and went on to earn a B.A. from Harvard Coll ...

proved the

cyclic surgery theorem In three-manifold, three-dimensional topology, a branch of mathematics, the cyclic surgery theorem states that, for a Compact space, compact, Connected space, connected, Orientability, orientable, Irreducibility (mathematics), irreducible three-ma ...

. In a 1989 paper Luecke and Cameron Gordon proved that knots are determined by their complements, a result now known as the

Gordon–Luecke theorem In mathematics, the Gordon–Luecke theorem on knot complements states that if the complements of two tame knots are homeomorphic, then the knots are equivalent. In particular, any homeomorphism between knot complements must take a meridian to a m ...

. Dr Luecke received a

NSF NSF may stand for: Political organizations *National Socialist Front, a Swedish National Socialist party *NS-Frauenschaft, the women's wing of the former German Nazi party * National Students Federation, a leftist Pakistani students' political g ...

Presidential Young Investigator Award The Presidential Young Investigator Award (PYI) was awarded by the National Science Foundation of the United States Federal Government. The program operated from 1984 to 1991, and was replaced by the NSF Young Investigator (NYI) Awards and Preside ...

in 1992 and

Sloan Foundation The Alfred P. Sloan Foundation is an American philanthropic nonprofit organization. It was established in 1934 by Alfred P. Sloan Jr., president and chief executive officer of General Motors. The Sloan Foundation makes grants to support origin ...

fellow in 1994. In 2012 he became a fellow of the

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, ...

.List of Fellows of the American Mathematical Society
retrieved 2013-02-02.

References

External links

John Edwin Luecke at the Mathematics Genealogy Project

Luecke's home page at the University of Texas at Austin
20th-century American mathematicians 21st-century American mathematicians American topologists University of Texas at Austin faculty University of Texas at Austin College of Natural Sciences alumni Fellows of the American Mathematical Society Living people Year of birth missing (living people) National Science Foundation Young Investigator award recipients {{US-mathematician-stub