Holomorphic dynamics

Optimal control theory

Surgery in dynamics

Limit cycles of systems of ODE 

Stochastic differential equations

Linear Algebra

Precalculus

Calculus 2

Accesses to parabolic fixed point from its immediate basin , Moscow Mathematical Journal, Vol. 23, No. 2, pp. 271--282, (2023)

(joint with A. Azamov, G. Ibragimov, M. Ruziboev)  On the Stability and Null-Controllability of an Infinite System of Linear Differential Equations, Journal of Dynamical and Control Systems, https://doi.org/10.1007/s10883-021-09587-6, (2021)

A characterization of postcritically minimal Newton maps of complex exponential functions, Ergodic Theory and Dynamical Systems, Vol. 39. Issue 10. pp 2855--2880, (2019)

Newton maps of complex exponential functions and parabolic surgery, Fundamenta Mathematicae, Vol. 241. No. 3. pp 265--290, (2018) 

Antiholomorphic perturbations of Weierstrass Zeta functions and Green's function on tori, Nonlinearity. (joint with K. Bogdanov, S. Mukherjee and D. Schleicher), Vol. 30. No. 8. pp 3241--3254, (2017)

March 24--May 20  2023  Simons Semester ``Topological, smooth and holomorphic dynamics, ergodic theory, fractals'', Warsaw, Poland

Nov. 21-25 2022 Talk: Families of holomorphic functions with critical orbit relation, International conference ``Ergodic Theory and Related Topics'', Steklov Mathematical Institute, Moscow, Russia

September 19--24  2021 8th Heidelberg Laureate Forum, Abel, Fields and Turing Laureates Meet the Next Generation, Heidelberg, Germany

June 20--26  2021 8th European Congress of Mathematics, Portoroz, Slovenia

February 03--07  2020  Advanced Course: Recent Trends in Nonlinear Science, Centre de Recerca Matematica, Barcelona, Spain

August 02--06  2019  Low-dimensional and Complex Dynamics, Bernoulli Center, EPFL, Lausanne, Switzerland

Nov. 24--30  2019 Poster: A parameter space of cubic Newton maps, Latest in Geometric Analysis. Celebration of Pekka Koskela's 59th birthday, Bedlewo, Poland

August 26--30  2019  Dynamical Systems - Summer School, Bernoulli Center, EPFL, Lausanne, Switzerland

January 03--06  2019 Talk: A parameter space of cubic Newton maps with parabolics, Topological methods in dynamics and related topics, Nizhny Novgorod, Russia

Nov. 26--30 2018 Poster: The space of cubic Newton maps with persistent parabolics}, Real and Complex Dynamical Systems, International conference on the occasion of Prof. Yulij Ilyashenko's 75th birthday, Moscow, Russia

Oct. 31--Nov. 2 2017 Analytic and Algebraic Methods in Differential Equations, IITP RAS, Moscow, Russia

June 19--23  2017 Poster: Newton maps of complex exponential functions, Hyperbolic Dynamics, ICTP, Trieste, Italy

May 19--22 2017 Dynamics, Geometry, and Groups, Bremen, Germany

August 04  2016 Talk: On post-critically minimal Newton maps, Mathematics Colloquium, Inha University, Incheon, S. Korea

April 22--23 2016 Talk: A class of generalized Newton maps with connected Julia set, ``Modern problems of Analysis'', Karshi State University, Uzbekistan

October 12--16  2015  Fractal Geometry and Dynamics, Bedlewo, Poland

October 08  2015 Talk:On post-critically minimal Newton maps, Seminar IMPAN, Warsaw, Poland

Sept. 28-Oct. 02  2015  Ergodic theory and holomorphic dynamics, Vienna, Austria

September 15--19  2015  Topics in Analysis and Holomorphic Dynamics, Warsaw, Poland

August 17--21 2015 Poster: Families of Newton maps and parabolic surgery, Dynamical Developments: a conference in Complex Dynamics and Teichmuller theory, Jacobs University, Bremen, Germany

September 21--26 2014 2nd Heidelberg Laureate Forum, Abel, Fields and Turing Laureates Meet the Next Generation, Heidelberg, Germany

2010--2015  Merit-Based Scholarship, Germany

2003--2009  Merit-Based Scholarship, Uzbekistan

2006--2007  Ulugbek Scholarship for gifted students, Uzbekistan 

2006 Third prize (Bronze medal), 13th International Mathematics Competition for University Students (IMC), Ukraine

2006 First place (Gold medal), National Mathematics Olympiad, Uzbekistan

2007 Second place (Silver medal), National Mathematics Olympiad, Uzbekistan

2007 Third place, Contest among gifted university students of Uzbekistan, Conference talk: Probabilistic characteristics of solutions of system of linear differential equations with stochastic coefficients