Dr. Helene Barcelo

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Arizona State University
College of Liberal Arts & Sciences
Mathematics & Statistics
ProfessorAppointed: 2004

Mailing Address

Box 871804
Arizona State University
Tempe, Arizona 85287-1804
United States

Contact Information

Phone: (480) 965-3551
Fax: (480) 965-8119
barcelo@asu.edu
http://math.la.asu.edu/~helene/

Qualifications

Ph.D., University of California, San Diego, Mathematics (Algebraic Combinatorics), 1988.
M.Sc., Universite du Quebec à Montreal, Mathematics (Logic), 1983.
B.Sc., Universite du Quebec à Montreal, Mathematics, 1979.

Expertise and Research Interests

- Algebraic Combinatorics, including Representation Theory
- Hyperplane Arrangements; Subspace Arrangements
- Free Lie Algebras
- Algebraic Shifting
- Combinatorial Homotopy Theory
- Reflection Groups
- Straithening Algorithms
- Networks

Other Expertise

Editor-In-Chief, Journal of Combinatorial Theory, Series A

Keywords

COS Keywords:

Algebra, Algorithms, Combinatorics, Topology.

Additional Terms:

Algebra, Algebraic Combinatorics, Combinatorial Homotopy, Combinatorial Topology, Free Lie Algebras, Hyperplane Arrangements, Networks, Reflection Groups, Representation Theory, Topology.

Languages

(Reading, Writing, Speaking)

English: (Fluent, Fluent, Fluent)
French: (Fluent, Fluent, Fluent)
Spanish: (Functional, Basic, Basic)

Memberships

American Mathematical Society
Association for Women in Mathematics
Canadian Mathematical Society

Previous Positions

1996-2004, Associate Professor, Arizona State University, Mathematics & Statistics
1991-1996, Assistant Professor, Arizona State University, College of Liberal Arts & Sciences, Mathematics
1988-1991, Postdoctoral Position, University of Michigan, Literature, Science & the Arts, Mathematics

Funding Received

  • Natural Sciences and Engineering Research Council of Canada (NSERC): Doctoral Fellowship, Sep 1984 to Sep 1987.
  • Fonds pour la Formation de Chercheurs et l'Aide a la Recherche (FCAR): Master Fellowship, Sep 1979 to Aug 1981.
  • National Science Foundation (NSF): Algebraic Shifting and Reflection Group Lattices, May 1995 to Jun 1997.
  • National Science Foundation (NSF): Algebraic Combinatorics, May 1989 to Aug 1991.
  • National Science Foundation (NSF): Biocomplexity Grant, Jun 2000 to Jun 2003.
  • Faculty Grant-in-Aid: Hyperplane Arrangements, Jan 1992 to Dec 1992.
  • Office of Naval Research: A Discrete Homotopy Theory and Its Applications to Subspace Arrangements, 2005 to 2007.
  • National Science Foundation (NSF): Ontology and Evolution of Children's playgroup formation, 2004 to 2007.
  • Mathematical Association of America (MAA): Work of Great Female Mathematicians, 1995 to 1996.

Publications

  • Helene Barcelo, Bruce Sagan, Sheila Sundaram (2006) Counting permutations by congruence class of major index, Advances in Applied Mathematics, In Press
  • Eric Babson, Helene Barcelo, Mark de Longueville, Reinhard Laubenbacher (2005) Homotopy Theory for Graphs, Journal of Algebraic Combinatorics, 11 pp., In Press
  • Helene Barcelo, Reinhard Launbenbacher (2005) Perspectives on A-Homotopy Theory and its Applications, Discrete Mathematics, 298, 39-61
  • Helene Barcelo, Reinhard Laubenbacher (2005) Graph-Theoretic Tools for Dynamic Network Analysis, 7pp., Submitted
  • Helene Barcelo, Joseph P.S. kung, Volkmar Welker (eds.) (2003) Special issue on Formal Power Series and Algebraic Combinatorics, in Memory of Rodica Simion, 1955-2000, , , Advances in Applied Mathematics, Elsevier, 1-396 pp. pages
  • H. Barcelo, B. Maule, S. Sundaram, On Counting Permutations by Pairs of Congruence Classes of Major Inde, Electronic Journal of Combinatorics, 9(R21), 1-10, 2002
  • H. Barcelo, X. Kramer, R. Laubenbacher, C. Weaver, Foundations of a Connectivity Theory for Simplicial Complexes, Advances in Applied Math., 26, 97-128, 2001
  • Helene Barcelo, Volkmar Welker (eds.) (2001) Formal Power Series and Algebraic Combinatorics: 13th International Conference, , , Local Proceedings, 1-510 pp. pages
  • H. Barcelo, E. Ihrig, Lattice of Parabolic Subgroups in Connection with Hyperplane Arrangements, Journal of Algebraic Combinatorics, 9, 5-24, 1999
  • H. Barcelo, A. Ram, Combinatorial Representation Theory, in New Perspective in Algebraic Combinatorics, MSRI Publication, Cambridge press, 23-91, 1999
  • H. Barcelo, E. Ihrig, Modular Elements in the Lattice L(A) when A is a Real Reflection Arrangement, Discrete Mathematics, 193, 61-68, 1998
  • H. Barcelo, Hyperplane Arrangements, Women in Mathematics: Scaling the Heights, Mathematical Association of America, Notes, 46, 41-54, 1997
  • H. Barcelo, A. Goupil, Nonbroken Circuits of Reflection Groups and their Factorization in D_n, Israel Journal of Mathematics, 91(No. 1-3), 285-306, 1995
  • H. Barcelo, A. Goupil, Combinatorial Aspects of the Poincare Polynomial Associated with a Reflection Group, Contemporary Mathematics Series, 178, 21-44, 1994
  • Helene Barcelo, Gil Kalai (eds.) (1994) Jerusalem Combinatorics'93, , , Contemporary Mathematics, Vol. 178, American Mathematical Society, Providence, RI, 1-360 pp. pages
  • H. Barcelo, S. Sundaram, On Some Submodules of the Action of the Symmetric Group on the free Lie Algebra, Journal of Algebra, 154(No. 1), 12-26, 1993
  • H. Barcelo, Young Straightening in a Quotient S_n-module, Journal of Algebraic Combinatorics, 2, 5-23, 1993
  • H. Barcelo, On the Action of the Symmetric Group on the Free Lie Algebra and on the Partition Lattice, Journal of Combinatorial Theory, Series A, 55, 93-129, 1990
  • H. Barcelo, N. Bergeron, The Orlik-Solomon Algebra on the Partition Lattice in Relation with the Free lie Algebra, Journal of Combinatorial Theory, Series A, 55, 80-92, 1990

Profile Details

Last Updated: 4/11/2007

COS Expertise ID #376598
Reference this profile directly: http://myprofile.cos.com/barceloh98