## News and Events

The next meeting of the Seminar on Computer Algebra, CMC faculty of MSU & CCAS will be on Wednesday, January 16, 2019 at 16:20, room 713 of CMC faculty.

CA Workshop Dubna-2019

The 21st two-day workshop on Computer Algebra
will be held on May 23-24, 2019.

ACA 2019

The 25th Conference on Applications of Computer Algebra, (ACA 2019,
Montréal, Canada) will be held on July 16-20, 2019

Special Session:

Computer differential and difference algebra and its applications.

Past events

CA Workshop Dubna-2018

The 20-th two-day workshop on Computer Algebra
was held on May 21-22, 2018. The workshop was dedicated to the memory of V.A. Rostovtsev.

The International Conference "Computer Algebra" was held in Moscow on October 30 - November 3, 2017.

MMCP'2017

International Conference
MATHEMATICAL MODELING AND COMPUTATIONAL PHYSICS, 2017 (MMCP 2017) was held
at the LIT of the JINR on July 3-7, 2017 in Dubna.

ACA 2017

The 23rd Conference on Applications of Computer Algebra, (ACA 2017, Jerusalem, Israel) was held on July 17-21, 2017

Special Session:

Computer differential and difference algebra and its applications.

MMCP'2015

International Conference
MATHEMATICAL MODELING AND COMPUTATIONAL PHYSICS, 2015 (MMCP 2015)
was held
in High Tatra Mountains (Slovakia) on July 13-17, 2015.

February 1, 2007

**The LIT Seminar ** was held on February 1, 2007 to mark the 60th anniversary of the Head of our Group, Professor Vladimir Gerdt. He presented talk "Computer algebra, integrability, involutivity and all that".

## About the Group

Group of Algebraic and Quantum Computations is a part of the Laboratory of Information Technologies (LIT)
of the Joint Institute for Nuclear Research (JINR). The main **research and activity directions** of the Group are:

1.Development of computer algebra-based methods, symbolic – numeric algorithms and software to solve scientific and technical problems arising in research conducted at
JINR and its member states. Provision of the JINR users with information about
non-commercial computer algebra systems and open source software oriented to symbolic and algebraic computation.

2. Elaboration and analysis of mathematical models and algorithmic aspects of quantum computing and quantum information processes. Qualitative and quantitative description of entangled qubit states.
Development of algorithms and software packages for simulation of quantum systems and oriented to the heterogeneous platform “HybriLIT”.

## Basic algorithms and software developed in the Group

**The most universal algorithmic method for investigating and solving systems of polynomial algebraic, differential and difference equations is the method of Groebner bases [1]. In the last 10 years new highly efficient involutive algorithms for computation of Groebner bases have been designed [2] and implemented in the GINV software [3].
An algorithmic extension of the involutive algorithm to systems of nonlinear partial differential equations has been done in [4]. An algorithmic approach to analyze discrete systems was developed in [5]. In paper [6] a Mathematica program was created to simulate quantum computation.
Symbolic-numeric algorithms for simulation of low dimensional nanostructures in external fields have been developed [7]. **

- http://www.risc.jku.at/Groebner-Bases-Bibliography/
**.** **V.P.Gerdt. Involutive Algorithms for Computing Gröbner Bases. In: “Computational Commutative and Non-Commutative Algebraic Geometry”. NATO Science Series, IOS Press, 2005, pp. 199—225. arXiv:math.AC/0501111.****V.P.Gerdt and Yu.A.Blinkov. Specialized Computer Algebra System GINV. Programming and Computer Software, Vol. 34, No. 2, 2008, 112—123.****T.Bächler, V.Gerdt, M.Lange-Hegermann and D.Robertz. Algorithmic Thomas Decomposition of Algebraic and Differential Systems. Journal of Symbolic Computation, 47(10), 1233-1266, 2012. arXiv:math.AC/1108.0817 .****V.V. Kornyak. Structural and Symmetry Analysis of Discrete Dynamical Systems. In “Cellular Automata”, Nova Science Publishers, Inc., 2010, pp.119—163.****V.P. Gerdt and A.N.Prokopenya. The Circuit Model of Quantum Computation and its Simulation with Mathematica. Lecture Notes in Computer Science Vol. 7175, Springer, Heidelberg, 2012, pp.43—55.****A.A.Gusev, O.Chuluunbaatar, V.P.Gerdt, V.A.Rostovtsev, S.I.Vinitsky, V.L.Derbov and V.V. Serov. Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models. Lecture Notes in Computer Science Vol. 6264, Springer-Verlag, Berlin, 2010, pp.106—122. arXiv:cond-mat.mes-hall/1004.4202.**

## Some other recent references

**V.P.Gerdt and Yu.A.Blinkov. Involutive Division Generated by an Antigraded Monomial Ordering. Lecture Notes in Computer Science, Vol. 6885, Springer-Verlag, Berlin, 2011, pp.158—74.****V.Gerdt, A.Khvedelidze, D.Mladenov and Yu.Palii. SU(6) Casimir Invariants and SU(2)xSU(3) Scalars for a Mixed Qubit-Qutrit States. Journal of Mathematical Sciences, Vol. 179, No. 6, 2011, 690—701. arXiv:quant-ph/1106.4905 .****V.Gerdt and D.Robertz. Computation of Difference Gröbner Bases. Computer Science Journal of Moldova, 20(2), 2012, 203—226. arXiv:cs.SC/1206.3463 .****V.P.Gerdt and A.Hashemi. Comprehensive Involutive Systems. Lecture Notes in Computer Science, Vol. 7442, Springer-Verlag, Berlin, 2012, pp.98—116.****V.Gerdt, A.Gusev, S.Vinitsky, O.Chuluunbaatar, L. Le Hai and V. Rostovtsev. Symbolic-Numerical Algorithm for Calculations of High-|m| Rydberg States and Decay Rates. Lecture Notes in Computer Science, Vol. 7442, Springer-Verlag, Berlin, 2012, pp.155—171.**

## Upcoming conferences

Please, see also Events

- Polynomial Computer Algebra '2019

15-20 April, 2019, Euler International Mathematical Institute, St. Petersburg, RUSSIA - The 21st WORKSHOP ON COMPUTER ALGEBRA (DUBNA 2019)

May 23-24, 2019, Dubna, Russia