Grants
| 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 Development Visiting 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 Education Course 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 Program Grant MDA90-H-4029:The algebraic combinatorics of Hall-Littlewood symmetric functions | 5/90-12/93 |
Summer consulting and teaching
| Haverford College enrichment experience for mathematics majors. Directed study of Leqi Liu and Yichen Wang. Funded by LILAC at BMC. | 2016 |
| Haverford College research experience for mathematics majors. Directed work of Sebastian Moore. Funded by Faculty Support Fund. | 2008 |
| Haverford College research experience for mathematics majors. Directed work of Sandeep Singh and Sonia Gilbukh. Funded by Oakely-Allendorfer and Wilson. | 2007 |
| 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 seminar on finite reflection groups for women undergraduates recruited nationwide. | 1993 |
| Summer Mathematics Institute at Berkeley and Mills. Led a seminar on 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 |
Selected recent papers
| A. Björner, L. M. Butler and A. O. Matveev, “Note on a combinatorial application of Alexander duality”, Journal of Combinatorial Theory A80, (1997), 163-165. |
| L. M. Butler, “Order analogues and Betti polynomials”, Advances in Mathematics 121, (1996), 62-79. Also available as DIMACS Technical Report 91-37. |
| 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.
