Turdibayev Rustam Mirzaliyevich

Dr. Rustam Turdibaev is a mathematician specializing in nonassociative algebras, invariant theory, and their applications in algebraic structures. He has held academic and research positions across Europe and Central Asia, with extensive contributions to the theory of Leibniz algebras, evolution algebras, and Poisson structures. His work has been published in leading journals such as Journal of Algebra, Advances in Mathematics, and Journal of Algebra and Its Applications. He is also actively engaged in teaching mathematics at both undergraduate and graduate levels and has been recognized with multiple awards for excellence in research and education.

PhD in Mathematics — University of Santiago de Compostela, Spain (2013–2016)

Integrated PhD Program in Mathematical Sciences (coursework) — Constructor University (formerly Jacobs University Bremen, Germany) (2011–2013)

M.Sc. in Mathematics — National University of Uzbekistan (2009–2011)

B.Sc. in Mathematics — National University of Uzbekistan (2005–2009)

Department Chair, Department of Mathematics — New Uzbekistan University (Jan 2025 – Present)

Associate Professor, Department of Mathematics — New Uzbekistan University (Jan 2024 – Dec 2024)

Postdoctoral Fellow (Maria Zambrano Researcher) — University of Santiago de Compostela, Spain (2023)

Associate Professor — Central Asian University (formerly AKFA University) (Dec 2020 – Aug 2023)

Senior Research Fellow — V.I. Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan (Oct 2019 – Aug 2023)

Lecturer — National University of Uzbekistan (Sep 2020 – Aug 2021)

Assistant Professor — INHA University in Tashkent (Sep 2016 – Aug 2019)

Teaching Assistant — Constructor University, Germany (2011–2013)

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

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

García Martínez, X., Turdibaev, R., van der Linden, T. Do n-Lie algebras have universal enveloping algebras?, Journal of Lie Theory, 28(1): 043–055 (2018).

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

Kim, M.S., Turdibaev, R. Some theorems on Leibniz n-algebras from the category Un(Lb), Algebra Colloquium, 28(1): 155–168 (2021).

Normatov, Z., Turdibaev, R. Poisson algebra structure on the invariants of pairs of matrices of degree three, J. Algebra Appl., 22(3): 2350065 (2023).

Eshmatov, F., García-Martínez, X., Normatov, Z., Turdibaev, R. On the coordinate rings of Calogero–Moser spaces and invariant commuting variety of a pair of matrices, Results in Mathematics, 80(3): Paper No. 68 (2025).

Turdibaev, R. On the coordinate ring of the invariant anti-commuting variety, Linear & Multilinear Algebra, pp. 1–15 (2025).

Eshmatov, F., García-Martínez, X., Turdibaev, R. Noncommutative Poisson structure and invariants of matrices, Advances in Mathematics, 469: 110212 (2025).

Undergraduate & Graduate Courses:

Foundations and Applications of Geometry • Discrete Mathematics • Engineering Mathematics • Linear Algebra • Calculus • Basic Statistics

Categorical Algebra • Theory of Modules

Certificate for Outstanding Academic Performance, AKFA University (2022)

Excellence in Public Education (“Xalq ta’limi a’lochisi”), Ministry of Public Education 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 (2008)