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Louis Billera

American mathematician
The basics
Occupation Mathematician
Country United States of America
Date of birth
Education City University of New York
Authority Library of congress id VIAF id
The details

Louis Joseph Billera is a Professor of Mathematics at Cornell University.


Billera earned his Ph.D. from the City University of New York in 1968, under the joint supervision of Moses Richardson and Michel Balinski.

Louis Billera served as the first Associate Director of the National Science Foundation Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) at Rutgers University.

In 2010 he gave the invited lecture, "Flag enumeration in polytopes, Eulerian partially ordered sets and Coxeter groups" at the International Congress of Mathematicians.


The common thread through much of his research is to study problems motivated by discrete and convex geometry. A sampling includes constructing polytopes to prove the sufficiency condition for the g-theorem (with Carl Lee), discovering fiber polytopes (with Bernd Sturmfels), and studying the space of phylogenetic trees (with Susan Holmes and Karen Vogtmann).

Awards and honors

In 1994 Billera won the Fulkerson Prize for his paper, Homology of smooth splines. This prize is given every three years to the best paper in discrete mathematics.

In 2012 he became a fellow of the American Mathematical Society.

Selected publications

  • Louis Billera, "Homology of smooth splines: Generic triangulations and a conjecture of Strang", Transactions of the AMS 310 (1988) 325–-340.
  • Louis Billera, Anders Björner, Curtis Greene, Rodica Simion, Richard P. Stanley (eds.): New Perspectives in Algebraic Combinatorics, MSRI Publications, Cambridge University Press 1999, http://library.msri.org/books/Book38/

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