E-mail: `loukaki@gmail.com`

Homepage:`http://fourier.math.uoc.gr/~marial/main/`

Homepage:

**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