About Us

ABOUT US

The Institute of Mathematics and Informatics (IMI) of RAU was founded in 2018 (by decree of the Rector of RAU No 01-07/ 635 of May 02, 2018) on the basis of the previously existing Institute of Mathematics and High Technologies. 
Purpose and objectives: The Institute is designed to independently implement educational and scientific processes in the cycle of academic education (bachelor's-master's-postgraduate-doctoral studies), as well as additional postgraduate and commercial education.

The Institute functions autonomously within the framework of the current legislation of the Russian Federation and the Republic of Armenia and the regulatory documents of RAU regulating educational and scientific activities.
The Institute consists of 3 departments:
Department of System Programming
Department of Mathematical Cybernetics
Department of Mathematics and Mathematical Modeling 
Highly professional teaching staff is engaged in the training of specialists at the Institute.

For the implementation of the educational process, the Institute has at its disposal educational laboratories, as well as the Center for Science and Technology, which includes research laboratories and scientific groups in the relevant areas of research.

Along with educational activities, the Institute carries out a wide range of scientific research in various fields of computer science and mathematics. 
The Institute has wide scientific relations with various foreign universities and research centers, including those from the Russian Federation. They are carried out through the exchange of postgraduate students, the exchange of researchers, the presentation of joint projects, the use of modern laboratory equipment of well-known scientific centers, and the commercialization of joint scientific developments. 
Under the guidance of leading scientists-teachers, students of the Institute have the opportunity to engage in science in modern research laboratories, which are equipped with the latest devices. Thanks to this, students, undergraduates and postgraduates of IMI have the opportunity to become co-authors of scientific articles in the process of studying, to present the results of their own research at international scientific conferences outside Armenia.
The main directions of scientific research are formed based on the fact that developments in the field of high technologies and automation of scientific research have been declared priority by the Government of the Republic of Armenia. Classes are taught by highly professional specialists in the field of computer science and applied mathematics, which provides students with education in the field of fundamental and applied mathematics, instills in them broad knowledge in various aspects of programming, and introduces them to the main modern algorithmic languages.   Graduates successfully prove themselves both in purely theoretical areas of mathematics, natural science, and in many applied areas of modern science.

DRECTOR OF IMI

Rafik Aramyan

Education:
  • Yerevan State University (1978-1983)
  • Steklov Institute of Mathematics of the Russian Academy of Sciences in Moscow (1988)
  • Yerevan State University (2010) 
  • Dissertation: Stochastic Algorithms in Stochastic and Integral Geometry, Doctor of Mathematical Sciences (= European Degree Applicant)

Experience:
  • 1988 – 1994, Yerevan State University, Department of Probability Theory and Mathematical Statistics
    • Assistant
  • 1987 – 1998, Institute of Mathematics of the National Academy of Sciences of Armenia
    • Junior Researcher
  • 1993 – 1995, American University of Armenia
  • 1998 - present, Institute of Mathematics of the National Academy of Sciences of Armenia
    • Researcher
  • 2003 – 2013, Russian-Armenian (Slavonic) University, Department of Mathematical Cybernetics        
    • Assistant Professor
  • 2013 - present, Russian-Armenian (Slavonic) University, Department of Mathematical Cybernetics        
    • Professor
  • 2025 - present, Russian-Armenian (Slavonic) University, Institute of Mathematics and Informatics
    • Director
Specialization: Probability Theory and Mathematical Statistics

Taught Subjects:
  • Probability Theory and Mathematical Statistics
  • Econometrics
  • Actuarial Mathematics
  • Stochastic and Integral Geometry

Scientific interests

  • Probability Theory and Mathematical Statistics
  • Econometrics
  • Stochastic and Integral Geometry
  • Convex Geometry
  • Inverse problems

List of publications

  • R. Aramyan, “The Sine Representation of Centrally Symmetric Convex Bodies”, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018, Vol. 53(6), pp. 307 -312, (Izv. NAN Arm., Matematika, 2018, 53(6), pp. 3-13).
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  • R Aramyan , A Flag representation for n-dimensional convex body, The Journal of Geometric Analysis , 2019, vol. 29 (3), pp. 2998-3009.
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  • R. Aramyan, “To local reconstruction from the spherical mean Radon transform”, Journal of Mathematical Analysis and Applications, vol. 470, pp. 102-117, 2019.
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  • R. Aramyan, \Zonoids with an equatorial characterization", Applications of Math- ematics., (No. AM 333/2015) vol. 61( 4), 2016, pp. 413-422.
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  • R. Aramyan, \Reconstruction of Three Dimensional Convex Bodies from the Curvatures of Their Shadows", American Journal of Computational Mathematics vol 5, 2015, pp.86-95.
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  • R. Aramyan, \A Solution of Generalized Cosine Equation in Hilbert's Fourth Problem", Advances in Pure Mathematics Vol.4 No.6, 2014, pp.234-241.
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  • R. Aramyan, \A representation for convex bodies", Armenian J. of Math., vol. 5(1), 2013, pp. 69-74.
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  • R. Aramyan, \Convex bodies and measures in the space of planes", J. of Contemp. Math. Analysis (Armenian Acad. Sci.), vol. 47(2), 2012, pp. 19-30.
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  • R. Aramyan, \Reconstruction of measures in the space of planes", Lobachevskii J. of Math., vol. 32 (4), 2011, pp. 241-246.
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  • R. Aramyan, \Reconstruction of centrally symmetric convex bodies in Rn", Bulet- inul Acad. De StiinteA R. Moldova. Math., vol. 65(1), 2011, pp. 28-32.
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  • R. Aramyan, \The integral and stochastic geometric approach to Hilbert's fourth problem", Proceedings of the 8th Seminar on probability and Stochastic processes University of Guilian, Iran 2011
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  • R. Aramyan, \Solution of an integral equation by consistency method", Lithuanian Math.Journal, vol. 50 (2), 2010, pp. 133-139.
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  • R. Aramyan, \Generalized Radon transform on the sphere", Analysis, vol.30 (3), 2010, pp. 271-284.
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  • R. Aramyan, \Solution of one integral equation on the sphere by methods of integral geometry", Doklady Mathematics, vol. 79(3), 2009, pp. 325-328.
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  • R. Aramyan, \A Representation for the generating density of convex bodies", Lobachevskii J. of Math., vol. 30 (2), 2009, pp. 97-100.
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  • R. Aramyan, \Measure of planes intersecting a convex body", Sutra: Inter. J. of Mathematical Science, Vol. 3 (1), 2010.
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  • Rafik H. Aramyan, Robert M. Mnatsakanov “To recovering the moments from the spherical mean Radon transform”, Journal of Mathematical Analysis and Applications vol. 490(2), 2020.
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  • Р. Арамян , “Описание линейно-аддитивных метрик на R^n”, Труды Московского математического общества, том 81(1), 2020, pp.135-142
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  • R. Aramyan, V. Mnatsakanyan, “Conditional moments of the distribution of the distance of two random points in a convex domain in R^2”, Proceedings of the YSU, Physical and Mathematical Sciences vol 54(1) 2020
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  • R. Aramyan, D. Yeranyan, Chord length distribution and the distance between two random points in a convex body in Rn, Gen. Lett. Math (GLM), Vol.9 No.2 2020