National Science Foundation, Division of Mathematical Sciences Research at Undergraduate Institutions, with Greene at Haverford. Grant DMS-9500962: Algebraic and enumerative combinatorics | 6/95-5/98 |

National Science Foundation, Division of Human Resource DevelopmentVisiting Professorships for Women, partially supports leave at MSRI. Grant HRD-9627172: Topological insights in combinatorics. | 8/96-6/97 |

National Science Foundation, Division of Undergraduate EducationCourse and Curriculum Development, with economist Ball at Haverford, physical chemist Butler at Chicago, and mathematician Kuhn at Princeton. Grant DUE-9455972: Mathematics concentrations in economics and chemistry | 11/94-4/97 |

National Security Agency, Mathematical Sciences ProgramGrant MDA90-H-4029: The algebraic combinatorics of Hall-Littlewood symmetric functions | 5/90-12/93 |

Summer Program for Women in Math
- George Washington University. Led a seminar on number theory and public key cryptography for women undergraduates recruited nationwide. |
2005 |

Haverford College curriculum development with mathematics majors. Directed work of Pat Flanigan and Aaron Finch. Funded by Oakely-Allendorfer. |
2005 |

Haverford College enrichment experience for mathematics majors. Directed study of Nick Kerr and Scott Sargrad. Funded by Oakley-Allendorfer |
2003 |

IDA Center for Communications Research - Princeton. Cryptology. |
1998 |

Haverford College research experience for mathematics majors. Directed work of Scott Kravitz. Funded by NSF. |
1997 |

Haverford College research experience for mathematics majors. Directed work of Brian Karl and Ryan Walker. Funded by NSF. |
1996 |

Haverford College research experience for mathematics majors. Directed work of Amy Spencer and Noel Watson. Funded by NSF. |
1995 |

IDA Center for Communications Research - La Jolla. Cryptology. Coauthored paper with Steve Fischer, Miller Maley and Andrew Mayer. |
1994 |

Summer Mathematics Institute
at Berkeley and Mills. Led a seminaron finite reflection groups for women undergraduates recruited nationwide. |
1993 |

Summer Mathematics Institute
at Berkeley and Mills. Led a seminaron linear optimization for women undergraduates recruited nationwide. |
1992 |

IDA Center for Communications Research - Princeton. Cryptology. Wrote two papers, one coauthored with Neil White. |
1990 |

IDA Center for Communications Research - Princeton. Cryptology. Coauthored paper with Doug Wiedemann and Neal Zierler. |
1989 |

A. Björner, L. M. Butler and A. O. Matveev, "Note on a combinatorial application of Alexander duality", Journal of Combinatorial Theory ,
(1997), 163-165. (preprint) A80 |

L. M. Butler, "Order analogues and Betti polynomials", Advances in Mathematics ,
(1996), 62-79.
Also available as DIMACS Technical Report 91-37. 121 |

L. M. Butler, "Subgroup lattices and symmetric functions", Memoirs of the American Mathematical Society,
Volume 112, Number 539, November 1994. |

Dennis White reported the following error in "Subgroup lattices and

symmetric functions": Proposition 2.4.36 is false. In the computation

of charge, corresponding subwords of Knuth equivalent words need

not be Knuth equivalent. For example: w=24213431 has subwords

w1=2431 and w2=2413; v=42213431 has subwords v1=2431 and

v2=4213; w and v are Knuth equivalent, but w2 and v2 are not.

Corollary 2.4.38 is true.

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Department of Mathematics at
Haverford College.

This page was created by lbutler@haverford.edu. It was last updated 6/19/05.