Louis Billera

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

Career

Billera completed his B.S. at the

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 in Hyderabad.^[2]

Contributions

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.^[3]

In 2012 he became a fellow of the American Mathematical Society.^[4]

Selected publications

• Louis Billera, "Homology of smooth splines: Generic triangulations and a conjecture of Strang", Transactions of the American Mathematical Society 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/

See also

• Simplicial complex
• Combinatorial commutative algebra
• Quasisymmetric function

References

External links

• Billerafest 2008, Conference in Honor of Louis Billera's 65th Birthday. http://www.math.cornell.edu/event/conf/billera65/
• Louis Billera's Homepage
• profile at Cornell University archived