Arizona State University College of Liberal Arts & Sciences Mathematics & Statistics ProfessorAppointed: 2004 | |
QualificationsPh.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 ExpertiseEditor-In-Chief, Journal of Combinatorial Theory, Series A KeywordsCOS 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) MembershipsAmerican Mathematical Society Association for Women in Mathematics Canadian Mathematical Society Previous Positions1996-2004, 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 DetailsIndividual Expertise profile of Helene Barcelo, Copyright Helene Barcelo. © COS Expertise TM, 2009, ProQuest LLC All rights reserved. |