**Mariam
Avalishvili
**

*
*

**Date
of birth:**
October 6, 1980

**Place
of birth:**
Tbilisi, Georgia

**Marital
status: **Single

**Nationality:
**Georgian

**Mailing
address: **I.** **Vekua Institute of Applied Mathematics, Tbilisi State University,
University Str. 2, 0143 Tbilisi, Georgia

**E-mail:
**mavalish@yahoo.com

**Tel.:
**(+99532)
694200 (H), 303040 (W)

**Languages:
**Georgian
(native), Russian, English and French

**Education:
- **Graduated
from specialized Tbilisi I. Vekua physical-mathematical school
N 42 with Diploma of Honour;

1997-2001 - Student, Bachelor’s course, Iv. Javakhishvili Tbilisi State University, Faculty of Mechanics and Mathematics

2001 - Bachelor of Mathematics, Diploma with Honours

2001-2003 - Student, Master’s course, Iv. Javakhishvili Tbilisi State University, Faculty of Mechanics and Mathematics

2003 - Master of Mathematics

**Degree:
**

2004 - Candidate of Physics and Mathematics (N. Muskhelishvili Institute of Computational Mathematics, March 23, 2004)

**Awards:
**

The
1st prize of the Republic Mathematical Olympiad (1997);

The Soros Foundation Scholarship, 1998, 1999 years;

The George Schulz Award (1999);

The
1st prize of the Soros republic conference-competition of students and
post-graduate students (2000);

The 1st prize of the Soros republic conference-competition of students and post-graduate students (2001)

The 1st prize of the Soros republic conference-competition of students and post-graduate students (2002)

The 2nd prize of the Soros republic conference-competition of students and post-graduate students (2003)

The 1st prizes and Governmental Diplomas for the best scientific works at the republic scientific conferences “Students’ Days – 2001-2003” (2001-2003);

**Employment:
**

2000-2004
- Laboratory assistant at the Department of Informatics and Computational
Mathematics, Faculty of Mechanics and Mathematics, Tbilisi State University

2004-present
- Senior researcher at Youth Centre for Implementation and Development
of Information Technologies, Tbilisi State University

**Area of expertise:
**Construction
and investigation of lower dimensional models in the theory of elasticity

**Fields of Research Interest: **Mathematical modeling, Numerical analysis,
Informatics

1. M.
Avalishvili, On a dimensional reduction method in the
theory of elasticity, Rep. of Enlarged Sess. of the Sem. of I.Vekua Inst. of
Appl Math., vol. 14, 1999, № 3, 16-19;

2. M. Avalishvili, On reduction of
three-dimensional problems of the theory of elasticity to two-dimensional ones, Abstracts of
the students best scientific papers of the scientific conference dedicated to
the 80^{th} foundation anniversary of Tbilisi State University, Tbilisi,
1999, 6-8 (in Georgian);

3. M. Avalishvili, L. Kokilashvili, On
the existence of proper solutions of odd order nonlinear ordinary differential
equations, Rep. of Enlarged Sess. of the Sem. of I.Vekua
Inst. of Appl Math., vol. 15, 2000, № 2, 44-46;

4. M. Avalishvili, On the investigation
of dynamical two-dimensional models of elastic mixtures, Abstracts of Georgian
Mathematicians III Congress, Tbilisi, 2001, 5 (in Georgian);

5.
D. Gordeziani, M. Avalishvili, Investigation of
hierarchic model of prismatic shell, Bull. Georgian Acad. Sci., vol.
165, 2002, № 3, 485-488;

6. D. Gordeziani, M. Avalishvili,
Investigation of dynamical two-dimensional model of prismatic shell, Bull.
Georgian Acad. Sci., vol. 166, 2002,
№ 1,
16-19;

7. M. Avalishvili, Investigation of a
mathematical model of elastic bar with variable cross-section, Bull. Georgian
Acad. Sci., vol.
166, 2002, № 1,
37-40;

8. D. Gordeziani, M. Avalishvili, G.
Avalishvili, On one method of construction of mathematical models of
multistructures, Bull. Georgian Acad. Sci., vol. 166, 2002,
№ 3, 466-469;

9. D. Gordeziani, M. Avalishvili, G. Avalishvili, On the investigation of one nonclassical problem for
Navier-Stokes equations, AMI, vol.7, 2002, № 2, 66-77;

10. D. Gordeziani, M.
Avalishvili, G. Avalishvili, Investigation of statical two-dimensional
model of elastic plate, Proc. of Georgian Technical Univ., vol.
447, 2003, № 1, 9-17;

11. M. Avalishvili, D. Gordeziani, Investigation of two-dimensional models of elastic
prismatic shell, Georgian Math. J., vol. 10, 2003, № 1,
17-36;

12. M. Avalishvili, On
hierarchic models for nonhomogeneous anisotropic elastic prismatic shells, AMI,
vol. 8, 2003, № 1, 5-16;

13. D. Gordeziani, G. Avalishvili, M. Avalishvili,
On the investigation of a dimensional reduction method for elliptic problems,
Rep. of the Sem. of I. Vekua Inst.
Appl. Math., vol. 29, 2003, 15-25;

14. M.
Avalishvili, On the investigation of a dynamical model of elastic rods, Rep.
of Enlarged Sess. of the Sem. of I.Vekua Inst. Appl
Math., vol. 18, 2003;

15. M. Avalishvili, Spatial reduction
methods for some problems of mathematical physics, Ph. D. Thesis, Tbilisi State
University, 2004 (in Georgian).

16. G. Avalishvili, M. Avalishvili, Investigation
of static hierarchic model for elastic shells, Bull.
Georgian Acad. Sci., vol. 169, 2004, № 3, 451-454;

17. G. Avalishvili, M. Avalishvili, On a
hierarchical model of elastic rods with variable cross- sections, Appl. Math.
Inform. and Mech., vol. 9, N 1, 2004, 1-15.