Curtis Greene 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, structure, space, models, and change. History On ...

, specializing in

algebraic combinatorics Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algeb ...

. He is the J. McLain King Professor of Mathematics at

Haverford College Haverford College ( ) is a private liberal arts college in Haverford, Pennsylvania. It was founded as a men's college in 1833 by members of the Religious Society of Friends (Quakers), began accepting non-Quakers in 1849, and became coeducational ...

Pennsylvania Pennsylvania (; ( Pennsylvania Dutch: )), officially the Commonwealth of Pennsylvania, is a state spanning the Mid-Atlantic, Northeastern, Appalachian, and Great Lakes regions of the United States. It borders Delaware to its southeast, ...

.Faculty profile
an

, Haverford College, retrieved 2012-02-20. Greene did his undergraduate studies at

Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...

, and earned his Ph.D. in 1969 from the

California Institute of Technology The California Institute of Technology (branded as Caltech or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasional ...

under the supervision of Robert P. Dilworth. He held positions at the

Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the ...

and the

University of Pennsylvania The University of Pennsylvania (also known as Penn or UPenn) is a private research university in Philadelphia. It is the fourth-oldest institution of higher education in the United States and is ranked among the highest-regarded universitie ...

before moving to Haverford. Greene has written highly cited research papers on Sperner families,

Young tableau In mathematics, a Young tableau (; plural: tableaux) is a combinatorial object useful in representation theory and Schubert calculus. It provides a convenient way to describe the group representations of the symmetric and general linear groups a ...

x, and combinatorial equivalences between

hyperplane arrangement In geometry and combinatorics, an arrangement of hyperplanes is an arrangement of a finite set ''A'' of hyperplanes in a linear, affine, or projective space ''S''. Questions about a hyperplane arrangement ''A'' generally concern geometrical, ...

s, zonotopes, and graph orientations. With

Daniel Kleitman Daniel J. Kleitman (born October 4, 1934)article availableon Douglas West's web page, University of Illinois at Urbana–Champaign)."Kleitman, Daniel J.," in: ''Who's Who in Frontier Science and Technology'', 1, 1984, p. 396. is an American mathe ...

, he has also written a highly cited survey paper on

combinatorial proof In mathematics, the term ''combinatorial proof'' is often used to mean either of two types of mathematical proof: * A proof by double counting. A combinatorial identity is proven by counting the number of elements of some carefully chosen set in t ...

techniques. 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 2013-01-19.

References

{{DEFAULTSORT:Greene, Curtis Year of birth missing (living people) Living people 20th-century American mathematicians 21st-century American mathematicians Harvard University alumni California Institute of Technology alumni Massachusetts Institute of Technology faculty University of Pennsylvania faculty Haverford College faculty Combinatorialists Fellows of the American Mathematical Society