Dr. Rustam Turdibaev, PhD

Professor

Department: Mathematics

Office: 240, Avicenna Hall

Email: r.turdibaev[at]akfauniversity.org

Resume

  • Associate Professor AKFA University, Tashkent, Uzbekistan December 2020 – Present

  • Senior Researcher Academy of Science of Uzbekistan, V. I. Romanovskiy Institute of Mathematics October 2020

  • Assistant Professor at School of Computing and Information Engineering INHA University in Tashkent, Uzbekistan September 2016 – August 2019

  • PhD in Mathematics, University of Santiago de Compostela, Spain December 2015

  • Integrated PhD Program in Mathematics Jacobs University Bremen, Germany September 2011 – December 2013

  • Masters of Science in Mathematics National University of Uzbekistan, Tashkent September 2009 – June 2011

  • Bachelor of Science in Mathematics National University of Uzbekistan, Tashkent September 2005 – June 2009

Research interests

I am interested in abstract algebra. Most of my research has been in the structural theory of Lie and Leibniz algebras and their representation theory. Some applications of algebra in biological phenomena like ABO-blood inheritance pattern and prokaryotic population genetics (evolution algebra) are among my past research. Currently, I am working on invariant theory and algebraic aspects of Calogero-Moser spaces. Below is a list of some of my conference talks:

  • Poisson structure on the invariants of pairs of matrices, Non-Associative Algebras and Related Topics II, July 18-22, 2022, Coimbra, Portugal.

  • 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.

  • 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.

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

  • 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 Evolution Algebras, with L. M. Camacho, E. M. Cañete, L. M. Gómez, Proceedings of International Congress of Mathematicians 2010.

Teaching

  • Discrete Mathematics 1 – AKFA University, Spring 2022

  • PreCalculus – AKFA University, Fall 2021

  • Statistics – AKFA University, Spring 2021

  • Calculus 1 – AKFA University, Fall 2020

  • Theory of Modules – National University of Uzbekistan, Fall 2020

  • Engineering Mathematics – INHA University in Tashkent, Spring 2019

  • Discrete Mathematics – INHA University in Tashkent, Fall 2018

  • Engineering Mathematics – INHA University in Tashkent, Spring 2018

  • Discrete Mathematics – INHA University in Tashkent, Spring 2018

  • Engineering Mathematics – INHA University in Tashkent, Fall 2017

  • Discrete Mathematics – INHA University in Tashkent, Fall 2017

  • Engineering Mathematics – INHA University in Tashkent, Spring 2017

  • Discrete Mathematics – INHA University in Tashkent, Spring 2017

  • Linear Algebra – INHA University in Tashkent, Fall 2016

  • Basic Statistics – INHA University in Tashkent, Fall 2016

  • Tutorials on ESM-1A – Jacobs University Bremen, Germany, Fall 2013

  • Tutorials on ESM-2A – Jacobs University Bremen, Germany, Spring 2013

  • Tutorials on ESM-1A – Jacobs University Bremen, Germany, Fall 2012

  • Tutorials on ESM-2A – Jacobs University Bremen, Germany, Spring 2012

  • Tutorials on ESM-1A – Jacobs University Bremen, Germany, Fall 2011

Selected Publications

    • 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.


After defending PhD Thesis:

    • 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, DOI: 10.24330/ieja.587009.

    • 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, Poisson algebra structure on the invariants of pairs of matrices of degree three, Journal of Algebra and Its Applications, in press, (available online from 2021 via https://doi.org/10.1142/S0219498823500652).

    • 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.

Awards & Distinctions

  • 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.

Other Activities

  • 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.

  • Coach and member of an Ultimate Frisbee team “Xabaríns”, Santiago de Compostela, Spain, 2015-2016.