Nonassociative algebras

Invariant Theory

Discrete Mathematics

Engineering Mathematics

Linear Algebra

Calculus

Basic Statistics

Categorical Algebra

Theory of Modules

S. Albeverio, Sh. A. Ayupov, B. A. Omirov, R. Turdibaev, Cartan subalgebras of Leibniz n-algebras, Communications in Algebra, 37:2080–2096, 2009.

B. A. Omirov and I.S. Rakhimov, R. Turdibaev, On description of Leibniz algebras corresponding to sl2, Algebras and Representation Theory, 2013, 16(5): 1507–1519.

L. M. Camacho, J. R. Gómez, B. A. Omirov, R.Turdibaev, The derivations of some evolution algebras, Linear and Multilinear Algebra, 2013, 61(3):309–322.

L. M. Camacho, J. R. Gómez, B. A. Omirov, R. Turdibaev, Some properties of evolution algebras, Bulletin of the Korean Mathematical Society, 2013, 50(5):1481–1494.

F. Gago, M. Ladra, B. A. Omirov, R. Turdibaev, Some radicals, Frattini and Cartan subalgebras of Leibniz n-algebras, Linear and Multilinear Algebra, 2013, 61(11):1510–1527.

M. Ladra, B. Rikhsiboev, R. Turdibaev, Automorphisms and derivations of Leibniz algebras, Ukrainian Mathematical Journal, 2016, 68(7): 933–944.

J.M. Casas, M. Ladra, B.A. Omirov, R. Turdibaev, On algebraic properties of the human ABO-blood group inheritance pattern, Anziam Journal, Volume 58, Issue 1, July 2016 , 78–95.

M. Ladra, L.M. Camacho, R. Turdibaev, On HL 2 (L,L) for complex semisimple Leibniz algebras, Journal of Physics: Conference Series. 697 – 1, 2016.

X. García Martínez, R. Turdibaev, Tim van der Linden, Do n-Lie algebras have universal enveloping algebras?, Journal of Lie Theory, 28 (2018), No. 1, 043–055.

R. Turdibaev, Bipartite graphs and the structure of finite-dimensional semisimple Leibniz algebras, International Electronic Journal of Algebra, Volume 26 (2019), 122–130.

T. Kurbanbaev, R. Turdibaev, Some Leibniz bimodules of sl2, Journal of Algebra and Its Applications, Vol. 19, No. 04, 2050064 (2020).

M.S.Kim, R. Turdibaev, Some theorems on Leibniz n-algebras from the category Un(Lb), Algebra Colloquium, 28 (2021), no. 1, 155–168.

T. Kurbanbaev, R. Turdibaev, Finite-dimensional Leibniz algebra representations of sl2, Hacettepe Journal of Mathematics and Statistics, (2021), Volume 50, Issue 3, 845-854.

Z. Normatov, R. Turdibaev, Calogero-Moser Spaces and the Invariants of Two Matrices of Degree 3, Transformation Groups, 2022

Z. Normatov, R. Turdibaev, Poisson algebra structure on the invariants of pairs of matrices of degree three, Journal of Algebra and Its Applications, 2023, 22(3), 2350065.

X. García Martínez, Z. Normatov, R. Turdibaev, The ring of invariants of pairs of 3 × 3 matrices, Journal of Algebra, Volume 603 (2022), 201-212.

R. Turdibaev, Poisson Structure on the Invariants of Pairs of Matrices, Springer Proceedings in Mathematics and Statistics, 2023, 427, pp. 137–146

On HL2(L,L) for complex semisimple Leibniz algebras, Proceedings of the Conference ”Algebra, Analysis and Quantum Probability”, National University of Uzbekistan and the Institute of Mathematics, September 10-12, 2015, Tashkent, Uzbekistan.

Leibniz cohomology of Leibniz algebras in low degrees,  EACA’s Third International School on Computer Algebra and its Applications, January 18-21, 2016, Seville, Spain

On algebraic properties of the human ABO-blood group inheritance pattern, Seminario García-Rodeja, May 18, 2016, Santiago de Compostela, Spain

On algebraic properties of the human ABO-blood group inheritance pattern, XV Encuentro de Álgebra Computacional y Aplicaciones, EACA 2016, June 22-24, 2016, Logroño, Spain

Bipartite graphs and the structure of finite-dimensional semisimple Leibniz algebras, Central Asia Joint Meeting in Mathematics & International Doctoral Academic Forum, September 15-20, 2019, Sichuan University, Chengdu, China

Poisson structure on the invariants of pairs of matrices. Non-Associative Algebras and Related Topics II, Universidade de Coimbra, 2022, Portugal.

The ring of invariant polynomials on two matrices of degree 4, Sixth EACA International School on Computer Algebra and its Applications, July 18–21, 2023, CITMAga, Santiago de Compostela, Spain

Defining relations of invariants of two 4 x 4 matrices,  Workshop: "Combinatorics in algebraic structures: Invariant theory and its applications", Nov. 30 –Dec. 01, 2023. 

Participant at "WAMS school on Lattices, Diophantine Approximation and Heights," Urgench, June 6-10, 2022.

Coach and Observer-A of Uzbekistan at the 62nd International Mathematical Olympiad, July 18–24, 2021, Saint-Petersburg, Russia.

Team Leader of Uzbekistan at the 61st International Mathematical Olympiad, September 18–25, 2020, Saint-Petersburg, Russia.

Team Leader of Uzbekistan at the 60th International Mathematical Olympiad, July 11–22, 2019, Bath, United Kingdom

Deputy Chairman of the Jury, Al-Khorezmi International Mathematical Olympiad for University Students 2018, October 25-31, 2018, Urgench, Uzbekistan.

Mentor at the "International Research Experience for Students in Uzbekistan", hosted by the California State University, Fullerton, summers of 2017-2019. A mini course of 15 lectures on Introductory Homological Algebra towards Lie and Leibniz Algebra (co)homology was given to students of some American Universities. Joint research papers were published (see list of publications).

4th Workshop on Categorical Methods in Non-Abelian Algebra, May 30-June 1, 2016, Coimbra, Portugal.

Participant at the Meeting “Matemáticas para todo y para todos”, July 8-9, 2015, Santander, Spain.

Participant at "Joint International Meeting of the American, European and Portuguese Mathematical Societies", June 10-13, 2015, Porto, Portugal.

Certificate for an outstanding academic performance and valuable contribution to AKFA University, Spring 2022.

Excellence in Public Education (“Xalq ta’limi a’lochisi”), Ministry of Public Education of the Republic of Uzbekistan, 2020.

Second Prize, 16th International Mathematics Competition for University Students, Budapest, Hungary, 2009.

State Scholarship of the President of Uzbekistan in Mathematics, Physics and Chemistry-Biology, Ministry of Higher and Secondary Special Education of the Republic of Uzbekistan, 2008.