## The chair of Algebra and geometry

The subjects, surrounded by Algebra and Geometry, taught in this chair in different times under the names of Geometry, Algebra and geometry and Algebra and topology.

The chair of Geometry was founded in Physico-mathematical faculty of Azerbaijan State University in 1935.

In 1959 the chair obtained the name of Algebra and geometry. During the long time the chief was the famous scientist and pedagog, corresponding member of ANAS, professor M.A.Javadov. In 1969 the chair of Algebra and geometry was divided into two parts: the chair of Geometry and the chair of Algebra and topology.

Since 1969 to 1979 assoc.prof. M.R.Bunyatov was the chief of the chair of Algebra and topology, in 1980-1994 – assoc.prof. R.M.Sultanov and professor M.S.Akbarov were the chief of this chair.

In 1994-2002 assoc.prof. V.A.Gasimov was the chief of the chair of Algebra and topology, and in 2004-2006 – d.p.-m.s., professor K.I.Khudaverdiyev. In 2007 the chair of Geometry was renamed as the chair of Algebra and geometry.

Since 2006 assoc.prof. V.A.Gasimov is the chief of the chair.

Doctor of physical and mathematical sciences, professor Arif Salimov worked (1983-1999) at the department on specialties of geometry and topology.

The doctorial dissertation, which Arif Salimov defended at Kazan University of Russia in 1998, is the single one defended in Azerbaijan in the sphere of geometry for the last 50 years.

At present, the chair is functioning in the following content: c.p.-m.s., assoc.prof.V.A.Gasimov (head of the chair), c.p.-m.s.,assoc.prof.J.M.Mustafayev, c.p.-m.s., assoc. prof. A.F.Kocharli, c.p.-m.s., assoc.prof. N.Y.Aliyev, c.p.-m.s., assoc.prof. O.M.Mammadov, c.p.-m.s., assoc.prof.H.D.Fattayev, senior lecturer L.M.Nasibova, senior lecturer A.A.Huseynova,c.p.-m.s.,lecturer L.K.Hasanova, assist. S.F.Kazimova, senior laboratory assistant N.A.Sardarli, senior laboratory assistant V.F.Guliyeva, laboratory assistant R.A.Mustafayeva.

The main branches of scientitic researches include the following directions:

Algebraic structures and geometries over them, Boolean algebras and homologies, K-theory, C*- algebras,Hilbert modules,Differentiable manifolds and foluation theory, Lattice theory and so on.

At present time, more than 10 monographs, course books and hundreds of scientitic papers wore published by the members of the chair.

**Employments:**

Kasimov V.A. - Chief of the chair, associate professor, candidate of physical and mathematical sciences

Mustafayev J.M.- associate professor, candidate of physical and mathematical sciences

Kocharli A.F. - associate professor, candidate of physical and mathematical sciences

Aliyev N.Y. - associate professor, candidate of physical and mathematical sciences

Mamedov O.M. - associate professor, candidate of physical and mathematical sciences

Fattayev H.D. - associate professor, candidate of physical and mathematical sciences

Nasibova L.M.- senior lecturer

Huseynova A.A.- senior lecturer, candidate of physical and mathematical sciences

Hasanova L.K.- lecturer, candidate of physical and mathematical sciences

Kazimova S.F.- lecturer

**In 2006-2007 years the colleagues of Algebra and Geometry department published the following teaching aids**:

- Kasimov V.A. "Topology and some of its applications"
- Gasimova S.S. "Lectures on the analytical geometry"
- Fattayev G.D. "Tasks in tensor calculus»

In the department, most scientific studies conduct in the following directions: the theory of ideas, the theory of varieties, and the theory of homotopies.

**On the step of baccalaureate following disciplines are taught**:

1. Algebra and the theory of numbers

2. Contemporary problems of algebra

3. Algebra and analytical geometry

4. Analytical geometry

5. Analytical geometry and the highest algebra

6. Differential geometry and topology

7. Differential geometry and tensor calculus

8. Theory of the polynomials

**On the step of "magistracy" in the specialty following disciplines are conducted**:

1. Contemporary problems of science

2. History and the methodology of science

3. Geometry of loaded varieties

4. Non-Euclidean geometry

5. Spaces above algebras

6. Theory of elevators in tensor stratification

7. Groups of Lee and algebra of Lee

8. Method of the exterior forms of Cartan

9. Algebraic topology, group theory

10. Theory of ideas

11. Theory of switchboards

12. Theory of cascades

13. The Hilbert modules above S*-algebras

14. Universal algebra

**And following disciplines are also conducted as selective objects**:

1. Introduction into the theory of Morse

2. Some tasks of the moving frame in differential geometry

3. Some questions of the base of geometry

4. Elements of the theory of the ideas

5. Commutative S*- algebras

6. Mathematical logic

7. Theory of the models