Research Interests
Operator Theory, Dynamical Systems, Chaos, Spectral Graph Theory.
Education
[2006-2010] B.Sc. in Mathematics, Department of Mathematics, Faculty of Science, Al-Qadisiya University, Iraq.
[2012-2014] M.Sc. in Mathematics, Department of Functional Analysis, Mechanics and Mathematics Faculty, Belarusian State University, Belarus.
Supervisor: Anatolij Antonevich.
[2014-2017] Ph.D., Department of Functional Analysis, Mechanics and Mathematics Faculty, Belarusian State University, Belarus.
Professional Experience:
[2018-p.t.] Lecturer, Department of Mathematics, Faculty of Computer Science and Math, University of Kufa, Iraq.
[2017-2021] Adjunct Researcher, Functional Analysis and Analytical Economics Department, Mechanics and Mathematics Faculty, Belarusian State University, Belarus.
[2016-2017] Analyst at Hiqo solution company, Minsk.
[2015-2017] Teaching Assistant, Department of Functional Analysis, Mechanics and Mathematics Faculty, Belarusian State University, Belarus.
Teaching
[2015-p.t] Mathematical analysis, Functional analysis, Mathematical Physics, Dynamical Systems.
Publications
Articles
Weighted Graphs with an Application to Returned Sequence, (with Ali Akhmedov and Hyder Shelash), Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16, 1 (2023), p. 7-12
Generalized Lucas Graph ,(with Florian Luca, Hayder B. Shelash and Hayder R. Hashim ), Afrika Matematika, 34 (10), 2023.
Multi-Monad Graph, (with Hayder B. Shelash) Italian Journal of Pure and Applied Mathematics, 48,2022, p. 1174-1180.
On Behavior of the Birkhoff's Sums Generated by Rotations of Circle, (with A.B. Antonavich and A.V. Kochergin), Sbornik Mathematics, 213,7, 2022, 3–38.
Exponential Growth of Graph Resolvent}, Iranian Journal of Mathematical Chemistry, 12 (3), 2021, p.187-195
Resolvent Energy and Pseudospectrum Energy of Fullerenes,} Fullerenes, Nanotubes and Carbon Nanostructures, Vol.29 (10), 2021. (with Alireza Ashrafi and Hayder B. Shelash)
The Necessary Condition of Hypercyclicity of Truncated Toeplitz Operator }, J. Phys.: Conf. Ser. 1963, 012065, 2021.
The Behaviour of Weighted Graph's Orbit and its Energy}, Mathematical Problems in Engineering, Volume 2021,
doi.org/10.1155/2021/9933072, (with Akbar Jahanbani and Hayder Shelash).
Energy of Monad Graphs,} Bulletin of the International Mathematical Virtual Institute, 11 (2), 2021 p.261-268. (with Ivan Gutman).
On Algebraic Properties of Fuzzy Weighted Shift Operator}, Journal of Discrete Mathematical Sciences and Cryptography, 23 (5), (2020) p. 1-6. (with Noor R. Kareem)
Pseudospectrum Energy of Graphs}, Iranian Journal of Mathematical Chemistry, 11 (2), (2020) p. 83-93. (with Hayder B. Shelash)
On Powers of Operator Generated by Rotation}, Journal of Analysis and Applications, No.1, Vol. 16, (2018), p. 57-67. (with Anatolij Antonevich). %Impact factor (\textbf{1.83}, scopus)
Note on the Relation Between Cesaro Averages for Discrete Weighted Shift Operator and the Behavior of the Resolvent}, J. Mathematics and Statistical~Science, No.7, (2017), p. 199-209.
Estimations of the Norm of the Powers of Operators Generated by Irrational Rotation}, Doklady Natsionalnoi Akademii Nauk Belarusi, Vol.60(1), (2017), p.~30--35. (with Anatolij Antonevich). (in Russian)
On the Operators with Exponential Growth of the Resolvent}, J. Taurida of Computer Science Theory and Mathematics, No.3, (2016), p.~9-20 (with Anatolij Antonevich). (in Russian)
On the Growth of Analytical Functions on the Unit Disc}, Doklady Natsionalnoi Akademii Nauk Belarusi, Vol.60(6),(2016), p.~41--45.
(with Anatolij Antonevich). (in Russian)
Resolvent of Boundary Value Problem of the Difference Equation}, J. Problemy Fiziki, Matematiki i Tekhniki,
No.28,(2016), p.~70--75. (with Olga Arhipenko). (in Russian)
The Behavior of the Norm of Powers of Operator Generated by Rational Rotation},
J. Vestnik of Belarusian State University, ser.1, No.2, (2016), p.~110--115. (in Russian)
Estimation of Resolvent for Discrete Weighted Shift Operators}, J. Problemy Fiziki, Matematiki i Tekhniki,
No.22,(2015), p.~48--52 (with Anatolij Antonevich). (in Russian).
Hidden Attractors in a novel 3D chaotic system with three hyperbolic terms}, in process
Hidden Attractors in a Novel 3D Chaotic system Involved in Hyperbolic Functions}, in process
Hidden Attractor in an Asymmetrical Novel Hyperchaotic System involved with a Bounded Function of Exponential Form and Image Encryption Application}, Smart Innovation, Systems and Technologies
Asymmetrical Novel Hyperchaotic System with Two Exponential Terms}, in process
Asymmetrical Novel Hyperchaotic Lorenz-Type System with One Eqilibrium Point: zero-Hopf Bifurcation and Ultimate Boundness}, Differential Equations and Dynamical Systems, submitted (with Rizgar H. Salih)
Books and Dissertations:
BOOK CHAPTER: {A Survey on the Behavior of the Resolvent of Weighted Shift Operator,} Current Topics on Mathematics and Computer Science Vol. 1, 26 May 2021 , Page 36-45.
BOOK: The Estimates of the Resolvent of the Bounded Operators,} LAP LAMBERT Academic Publishing, 2017, 132 pages (with Anatolij Antonevich). (in Russian). The title in Russian \textbf{Otsenki rezolvent ogranichennykh operatorov.}
The Behavior of the Resolvent of Some Classes of Operators at the Neighborhood of the Spectrum,} Ph.D thesis, 2017, 118 pages. (in Russian)
Spectral Properties of Operators Generate Dynamical Systems,} Master Dissertation, 2014, 67 pages. (in Russian)
Participation and Talks
11th International Conference on Frontiers of Intelligent Computing: Theory and Applications. Talk: Hidden Attractor in an Asymmetrical Novel Hyperchaotic System involved with a Bounded Function of Exponential Form and Image Encryption Application}, Cardiff Metropolitan University, April 11 - 12, 2023, UK
2022 online Nonlinear Science and Complexity Conference. Talk: Hidden Attractors in Asymmetrical Novel Hyperchaotic System involved in a Bounded Function of Exponential Form}, Thessaloniki University, September 26-29, 2022,Thessaloniki, Greece.
5th International E-Conference on Mathematical Advances and Applications. Talk: Energy of Multi-Monad Graphs}, Yildiz Technical University, May 11-14, 2022, Istanbul, Turkey.
27th Iranian Algebra Seminar (online). Talk: Energy of Monad Graph}, Persian Gulf University, 9-10 March 2022, Bushehr, Iran.
One-Parameter Semigroups of Operators (online). Talk: The Dynamics of Birkhoff's Sum},Nizhniy Novgorod University, February 14-18, 2022. Russian.
Algebraic Combinatorics and Mathematical Physics, Department of Mathematics of the Universita di Roma "Tor Vergata", (online) 13-14, January 2022, Italy
51st Annual Iranian Mathematics Conference. Talk:On the Behavior of Birkho Sums Generated by Irrational Rotation}, University of Kashan, February 16-19,2021, Kashan (online), Iran.
2020 Ural Workshop on Group Theory and Combinatorics. Talk: Pseudospectrum energy of graphs,} Ural State University, August 24–30, 2020, Yekaterinburg (online), Russia.
Seminar on Analysis, Differential Equations and Mathematical Physics. Prof. Vladimir Rabinovich: "Fredholm property and essential spectrum of 3-D Dirac operators with regular and singular potentials", Southern Federal University, 9, July 2020, Rostov-on-Don (online), Russian.
12th Iranian Group Theory Conference. Talk: Estimation of Monad Graphs of Group $C_n$ Generated by Linear Function,} Tarbiat Modares University (TMU), 18-19, February~2020,Tehran, Iran. *Partially supported by TMU.
The 2nd International Sharjah Spring School, Algebra, Analysis, Topology and their Applications. University of Sharjah, 24-25 March 2019, Al-Sharjah, UAE. *Partially supported by University of Sharjah.
TUN-ICTP School and Conference in Dynamical System and Ergodic Theory. Organized by the Abdus Salam International Center for Theoretical Physics (ICTP) and Tarbiat Modares University, 5 -10 May 2018, Tehran, Iran. *Supported by ICTP.
28th International Workshop on Operator Theory and Applications (IWOTA 2017).
Session: concrete operator theory. Talk: The Estimates of powers of operator generated by rotation}, Chemnitz University of Technology, 18–22 August 2017, Chemnitz, Germany. *Supported by Chemnitz University of Technology.
Banach Spaces and Operator Theory with Applications, on the occasion of the 60th birthday of Mieczyslaw Mastylo. Faculty of Mathematics and Computer Science, Adam Mickiewicz University in Poznan, 03-07 July 2017, Poznan, Poland.
XII Belarusian Mathematical Conference. Talk: The order and type of growth of the resolvent}, Belarusian State Uinversity and Institute of Mathematics of National Academy of Science of Belarus, 05-10 September 2016, Minsk, Belarus.
7th European Congress of Mathematics. Technische Universit$\ddot{a}$t Berlin. 18 - 22 July 2016, Berlin, Germany. *Supported by Technische Universitat Berlin and Einstein Center Math.
International Workshop on Operator Theory and Operator Algebras. Talk: On growth of the Resolvent}, University of Lisbon. 5-8 July 2016, Lisbon, Portugal. *Supported by Superior Tecnico Institute.
26th International Conference on Operator Theory. Talk: The relation between the behavior of the resolvent and powers of operators}, West University, 27 June - 02 July 2016, Timisoara, Romania
73th Scientific Conference of Belarusian State University. Talk:On analytical continuation of right-side resolvents}, Belarusian State University 19 May 2016, Minsk, Belarus.
XVIII Republican scientific-practical conference for young scientists. Talk: Construction of right-side resolvents of discrete weighted shift operators}, Brest State University named after A.S. Pushkin.
13 May 2016, Brest, Belarus.
VI Modern methods, problems and applications of Operator Theory and Harmonic analysis. Talk: On the right-side resolvents of discrete weighted shift operators}, Southern Federal University, 24-29 April 2016, Rostov-on-Don, Russia.
Ergodic Theory of Dynamical Systems. Talk: The behavior of resolvent and Ergodic theorems}, Institute of Mathematics - Polish Academy of Science, 22-28 November 2015, Bedlewo, Poland. *Supported by Banach Center.
26th International Workshop on Operator Theory and Applications (IWOTA 2015). Session: Operator Theory, Real Algebraic Geometry, And Moment Problems. Talk:Estimate of powers of norm of operator generated by rotation}, Georgian Math. Union; Georgian national academy of sciences; Ivane Javakhishvili Tbilisi State University, 6-10 July 2015, Tbilisi, Georgia. *Supported by Georgian Math. Union.
72th Scientific Conference of Belarusian State University. Talk: Norm of powers of operator generated by rational rotation}, Belarusian State University, 19 May 2015, Minsk, Belarus.
Methodology and Philosophy of Teaching Mathematics and Computer Science ''the 50th anniversary of the founding Department of General Mathematics and Informatics'', Belarusian State University.
24-25 April 2015, Minsk, Belarus.
Flowers and Friends: Workshop on Geometric Analysis. Goethe University, 2-5 March 2015, Frankfurt, Germany. *Supported by Goethe University.
71th Scientific Conference of Belarusian State University. 25 May 2014, Minsk, Belarus.
XI Belarusian Mathematical Conference. Belarusian State University and Institute of Mathematics of National Academy of Science of Belarus , 22-28 November 2012, Minsk, Belarus.
Invited Speaker:
4th Conference on Computational Algebra, Computational Number Theory and Applications (Memorial of Professor Alireza Ashrafi), University of Kashan, 4-6.07.2023, Iran.
51st Annual Iranian Mathematics Conference,} University of Kashan, 16-19.02.2021, Iran.
Seminar On Powers of Operators Generated by Irrational Rotation,} Department of Function Theory and Functional Analysis, Baku State University, 05.02.2019, Azerbaijan.
Co-organizing Meetings:
4th International Workshop on Dynamics and Combination,} March 5 -6, 2023, University of Kufa, Iraq
12th International Conference on Cryptography and Information Security (CRYPIS 2023)} July 29 -30, 2023, London, United Kingdom
International Conference on Signal Processing and Vision (SIGV 2022)}, December 17 -18, 2022, Dubai, UAE
11th International Conference on Digital Image Processing and Vision (ICDIPV 2022)}, July 23-24, 2022, Toronto, Canada.
International Workshop on Dynamical Systems and it Application in Maths, Physics and Engineering }, Faculty of Computer Technical Engineering, The Islamic University, 10 May 2021, Iraq
3rd International Workshop on Advanced Topics in Dynamical Systems}, Faculty of Computer Science and Maths, University of Kufa, 01 March 2021, Iraq
Online: 2nd International Workshop on Advanced Topics in Dynamical Systems}\footnote{This workshop held in global quarantine period which has been attended by 186 participants and provided by Free Conference Call.}, Faculty of Computer Science and Maths, University of Kufa, 20-22 May 2020., Iraq
2nd International Workshop on Advanced Topics in Dynamical %Systems}, Faculty of Computer Science and Maths, University of Kufa, 1-2 %March 2020., Iraq
Workshop on Advanced Topics in Dynamical Systems Theory}, Faculty of Computer Science and Maths, University of Kufa, 3 March 2019., Iraq
Fuzzy Set and its Application in Functional Analysis}, A regular seminar, Department of Functional analysis, Belarusian State University, 2015-2017, Belarus (with Dr. E.M. Radyna).
Editorship:
[2020-21] American Journal of Applied Mathematics.
Reviewer:
[2021] Symmetry, MDPI
[2021] Sensors, MDPI
[2022] Mathematics, MDPI
[2022] Energies, MDPI
[2022] Processes, MDPI
[2022] Electronics, MDPI
[2022] Axioms, MDPI
[2022] Micromachines, MDPI
[2022] Malecules, MDPI
[2021-2022] Journal of Physics: Conference Series, IOP
[2021] Asian Journal of Probability and Statistic
[2022] Asian Research Journal of Mathematics
[2022] Journal of Advances in Mathematics and Computer Science
[2022] Zentralblatt fur Mathematik
[2022] Mathematics Interdisciplinary Research, Kashan University
[2023] Journal of Vibration Testing and System Dynamics, L \& H Scientific Publishing
[2023] Scientific African, Elsevier
Grant:
1. European Mathematical Society Travel Grant 2016.
2. Einstein Center for Mathematics Travel Grant 2016.
Memberships:
1. European Mathematical society, Finland.
2. Ja'nos Bolyai Mathematical society, (Hungarian Mathematical
society), Hungary.
3. International Graph Theory Research Center, India.
Languages: English, Russian, German(A1).
