SCHOOL OF BUSINESS,
TECNOLOGY AND EDUCATION
ILIA STATE UNIVERSITY

Direction:Mathematics
Position:Associate Professor





Born in the village Gurdjaani, Republic of Georgia  in 1951. In 1967 graduated from the school, in 1973 – from the Faculty of Mechanics and Mathematics at the Tbilisi State University, in 1981 – postgraduate study at the Tbilisi A. Razmadze Mathematical Institute.  In 1982 successfully defended his Ph.D. Thesis at the Minsk Mathematical Institute, Belarus, on the topic “On Algebraic K-Theory and Cohomology of Crossed Group Rings” and received his PhD in Physics and Mathematics. In 1977-2011 worked at the Tbilisi Mathematical Institute as a laboratory assistant, as a researcher, and as a senior researcher. In 2009-2011  worked as a visiting professor at the Ilya State University, Tbilisi. From 2011 to 2012  worked at the Ilia State University as an assistant professor, and from 2012 until now – as an associate professor. Married, has six children. Hobby: mountaineering, long-distance running.

Scientific interests / research interests

  • Homological algebra,
  • algebraic K-theory, Lie groups and Lie algebras,
  • Word problems in theory of associative algebras,
  • mathematical methods in economics.

Featured publications

  1. On algebraic K-functors of crossed group rings and its applications (to appear in” Tbilisi Mathematical Journal“, 2017).
  2. Pipia, G. Rakviashvili, G. Tutberidze.Theoretical bases of calculation of quantitative characteristics of the economic structure of a society (to appear in “Globalization and Business”, 2017 , in Georgian)
  3. (with A. Elashvili) On regular cohomologies of biparabolic subalgebras of sl(n). Bulletin of the Georgian Academy of Sciences, 10, #2, 2016, 10-13.
  4. Combinatorial aspects of free associative algebras and cohomologies of Lie p-algebras with one defining relation. Journal of Mathematical Sciences, Vol. 160, No. 6, 2009.
  5. On the K-theory of the crossed product of a commutative algebra and a Hopf algebra. (in Russian) Trudy Tbiliss. Mat. Inst. Razmadze78(1986), 79-95.
  6. Primitive elements of free Lie p-algebras. Tbilisi Mathematical Journal 8(2), 2015, pp. 35-40.
  7. Inductive Theorems and the Structure of Projective Modules over Crossed Group Rings (to appear in Bulletin of the Georgian Academy of Sciences, 2017)
  8. Pipia, G. Rakviashvili, G. Tutberidze, P. Kunchulia. On gravitational models of migration. “Globalization and Business” #1, 2016, 53-59.
  9. Primitive elements of free Lie p-algebras. Bulletin of the Georgian Academy of Sciences, vol. 8(2), 2014, pp. 15-18
  10. Splitting fields for crossed group rings. Of the Georgian National Academy of Sciences, Vol. 5, No. 1, 5-9, 2011.
  11. Cohomologies of Lie p-algebras with one defining relation, Georgian Acad. Sci., 172(2005), No. 2.
  12. On the products in the algebraic K-theory of crossed enveloping superalgebras. (in Russian) Trudy Tbiliss. Mat. Inst. Razmadze91(1988), 67-75.
  13. Inductive theorems and projective modules over crossed group rings. (in Russian) Trudy Tbiliss. Mat. Inst. Razmadze 70(1982), 92-07.
  14. On the crossed enveloping algebra of Lie p-algebra. (in Russian)  Akad. Sci. Georgian SSR(Bull. Acad. Sci.Georgian SSR) 108(1982), No. 2.
  15. On the structure of projective modules over crossed group rings. (in Russian) Soobshch Akad. Nauk Gruz. SSR (Bull. Acad. Sci.Georgian SSR) 101(1981), No. 3.
  16. Periodicity of Tate cohomologies of crossed group rings. (in Russian) Soobshch Akad. Nauk Gruz. SSR (Bull. Acad. Sci.Georgian SSR) 100(1980), No. 1.
  17. Generalizations of the Artin theorem for semisimple algebras and crossed group rings. (in Russian) Soobshch Akad. Nauk Gruz. SSR (Bull. Acad. Sci.Georgian SSR) 96(1979), No. 1
  18. Cohomologies, extensions and abstract kernels of Lie p-algebras. (in Russian) Soobshch Akad. Nauk Gruz. SSR (Bull. Acad. Sci.Georgian SSR) 93(1979), No. 3

Current Courses

Course Catalog

  • Geometry and Groups;
  • Higher Algebra II;
  • Representations theory of finite groups;
  • Homological algebra
  • Higher Algebra I;
  • Principles of Group Theory;
  • Doctoral Seminar II;
  • Some Issues of Discrete Mathematics;
  • Elements of Sets Theory;
  • Group Theory and Geometrical Structures
  1. Theory of Probability and Stochastic Processes (2012, Fall semester, Master’s degree).
  2. Theory of Probability and Mathematical Statistics(2011, 2012 –Fall and spring semesters, Bachelor’s degree).
  3. Mathematical analysis(2011, 2012 – Fall and spring semesters, Bachelor’s degree).
  4. Analytic geometry (2013, 2014, 2015, 2016 – Fall and spring semesters, Bachelor’s degree).
  5. Linear programing and optimizations(2012, 2013 – Fall and spring semesters, Bachelor’s degree).
  6. Elementary mathematics in economics (2011, 2012, 2013 – Fall semester, Bachelor’s degree).
  7. Elementary mathematics in banking (2011, 2012, 2013 – Fall semester, Bachelor’s degree).
  8. Elements of practical mathematics (2011, 2012, 2013 – Fall and spring semesters, Bachelor’s degree).