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:
- 1999-2000: Lecturer, Department of Mathematics, University
of Wisconsin Madison, USA.
- 2001-2004: Visiting Assistant Professor, Department of Applied Mathematics, University
of Crete, Greece.
- 2004-2005: Visiting Assistant Professor, Department of Mathematics, Georgia Institute of Technology, USA
- 2005-2006: Visiting Assistant Professor, Department of Applied Mathematics, University
of Crete, Greece.
- Spring 2007: Visiting Assistant Professor, Department of Mathematics,
Georgia Institute of Technology, USA
- 2007-2009: Visiting Assistant Professor, Department of Mathematics, University
of Crete, Greece.
- 2009-current: Assistant Professor, Department of Mathematics, University
of Crete, Greece.
Teaching Experience:
- University of Crete (1990-93): 3 semesters (2 hrs/week recitation sessions).
Calculus and Linear Algebra.
- University of Illinois (1993-99): Calculus.
- University of Wisconsin (1999-2000): Calculus.
- Georgia Institute of Technology (2004-2005, spring 2007):
Linear Algebra.
- University of Crete (2001-2004, 2005-2006, 2007-2009): Probability, Statistics, Group Theory, Analytic Geometry, Linear Algebra I, III, Introduction to
Representation Theory, Algebra, Graph Theory, Graduate Algebra, Analysis I, Probability 1.
Research Interests:
- Representation Theory of Finite Groups
characters of solvable groups,
monomial groups,
-special characters,
character correspondence, degree problems
- Group Theory
solvable and nilpotent groups,
special subgroups,
subnormal subgroups,
coprime operator groups,
-groups, -structure
Publications:
- 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.)
- Counting characters of small degree in upper unitriangular groups,
J. of Pure and Applied Algebra 215 (2), 154-160 (2011).
- On the number of constituents of products of characters, with A. Moreto,
Algebra Colloq., 14, 207-208 (2007)
- On distinct character degrees, Isr. J. Math., 159,
93-107 (2007)
- Extendible characters and monomial groups of odd order, J. Algebra, 299, 778-819 (2006)
- Homogeneous products of characters, with E. Adan-Bante, A. Moreto, J. Algebra, 274, 587-593 (2004)
- Hyperbolic modules and cyclic subgroups, J. Algebra, 266, 34-50 (2003)
- Normal Subgroups of Odd-order Monomial Groups.
PhD Thesis, UIUC, 2001.
Talks in Math Departments and Selected conferences
- University of Illinois at Urbana-Champaign
- University of Wisconsin
- University of Aegean
- University of Ioannina
- Georgia Institute of Technology
- 4th Panhellenic Conference on Algebra and Number Theory (Patras, Greece, 2002)
- 2005 Zassenhaus Group Theory Conference (Auburn Univ. Montgomery, Alabama USA, 2005)
- 8th Panhellenic Conference on Algebra and Number Theory (Athens, Greece, 2008)
- Duality and Involutions in Representation Theory (NUI, Maynooth, Ireland, 2008)
- Finite Groups and Their Automorphisms (Bogazisi Univ. Istanbul Turkey, 2011)
Maria Loukaki
2013-02-14