Louis Billera

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Louis Billera

Louis Joseph Billera (born April 12, 1943 ) is an American mathematician who deals with combinatorics .

Billera studied at the Rensselaer Polytechnic Institute (Bachelor 1964), at Princeton University (1964/65) and at the City University of New York , where he received his master’s degree in 1967 and his doctorate in 1968 with Moses Richardson ( On Cores and Bargaining Sets for N-Person Cooperative Games Without Side Payments ). In 1969 he was a Fellow of the National Science Foundation at the Hebrew University in Jerusalem and from 1968 at Cornell University , where he is a professor.

In 1975/75 he was visiting scholar at Brandeis University , in 1980 visiting professor at the Center for Operations Research and Econometrics at Université catholique de Louvain and in 1996/97 at MSRI . In 1989, he was the assistant director of the Center for Discrete Mathematics and Computer Science at Rutgers University .

He deals with enumeration problems in discrete geometry (such as the problem of counting the sides of convex polyhedra) and applications of algebraic combinatorics in finite elements and splines.

In 1994 he received the Fulkerson Prize for work on splines in multiple variables. In 2010 he was invited speaker at the International Congress of Mathematicians in Hyderabad (India) ( Flag enumeration in polytopes, Eulerian partially ordered sets and Coxeter groups ). He is a fellow of the American Mathematical Society .

Fonts

  • with Anders Björner, Curtis Greene, Rodica Simion, Richard P. Stanley (editors): New Perspectives in Algebraic Combinatorics , MSRI Publications, Cambridge University Press 1999, online

Web links

Individual evidence

  1. Billera Homology of smooth splines: Generic triangulations and a conjecture of Strang , Transactions of the AMS, Vol. 310, 1988, pp. 325-340