MARIA LOUKAKI

E-mail: loukaki@gmail.com
Homepage: http://fourier.math.uoc.gr/~marial/main/

Current Possition:
Visiting Assistant Professor, Department of Mathematics, University of Crete, Greece

Education:
2001 PhD in Mathematics, University of Illinois at Urbana-Champaign.
Thesis Advisor: Prof. Everett Dade.
Thesis Title: Normal subgroups of odd-order monomial groups.
MSc in Mathematics, Department of Mathematics, University of Crete.
BSc in Mathematics, Department of Mathematics, University of Crete.

Academic Positions:

Teaching Experience:

Research Interests:

  1. Representation Theory of Finite Groups
    characters of solvable groups, monomial groups, $ \pi$-special characters, character correspondence, degree problems
  2. Group Theory
    solvable and nilpotent groups, special subgroups, subnormal subgroups, coprime operator groups, $ p$-groups, $ p$-structure

Publications:

  1. The average degree of an irreducible character of a finite group, with I. M. Isaacs and Alex Moreto, (to appear at the Isr. J. Math.)

  2. Counting characters of small degree in upper unitriangular groups, J. of Pure and Applied Algebra 215 (2), 154-160 (2011).

  3. On the number of constituents of products of characters, with A. Moreto, Algebra Colloq., 14, 207-208 (2007)

  4. On distinct character degrees, Isr. J. Math., 159, 93-107 (2007)

  5. Extendible characters and monomial groups of odd order, J. Algebra, 299, 778-819 (2006)

  6. Homogeneous products of characters, with E. Adan-Bante, A. Moreto, J. Algebra, 274, 587-593 (2004)

  7. Hyperbolic modules and cyclic subgroups, J. Algebra, 266, 34-50 (2003)

  8. Normal Subgroups of Odd-order Monomial Groups. PhD Thesis, UIUC, 2001.

Talks in Math Departments and Selected conferences



Maria Loukaki 2013-02-14