Holomorphic dynamics
Hénon-like and polynomial-like maps, dynamical degrees, Green currents and measures of large entropy.
RESEARCH · TEACHING · COLLABORATION
Karim
Rakhimov.
Complex dynamics and pluripotential theory.
Leading Researcher at the Institute of Mathematics. Associate Professor at the National University of Uzbekistan.
Tashkent, Uzbekistan · PhD, DSc
Present
Institute of Mathematics
2023–2024
National University of Singapore
2020–2022
CNRS · University of Lille
PhD · 2020
University of Pisa
ACADEMIC JOURNEY
A life in mathematics.
My research lies in complex dynamical systems, pluripotential theory and complex geometry. I study the dynamics of holomorphic maps, Green currents and the properties of invariant measures.
I obtained my PhD at the University of Pisa in 2020 under the supervision of Professor Marco Abate. I subsequently held research positions at CNRS / the University of Lille and the National University of Singapore. I now work in Tashkent, combining research, teaching and the mentoring of young mathematicians.
RESEARCH AREAS
Questions that guide my work.
At the intersection of complex analysis, dynamics and geometry.
Pluripotential theory
Plurisubharmonic functions, capacities, Hölder continuity of extremal functions and the metric properties of Brjuno sets.
Complex geometry
Meromorphic connections on Riemann surfaces, flat structures and the long-term dynamics of geodesics.
SELECTED PUBLICATIONS
Recent research.
2026
2026
2026
TEACHING & COMMUNITY
Sharing knowledge.
Developing ideas.
Through university mathematics, research seminars and olympiad problems, I support young mathematicians in developing independent mathematical thinking.
IsbotBooks, exercises and tests for independent study in mathematics.↗Sadullaev Seminar
Modern Problems of Complex Analysis. Research talks and mathematical discussions.
Complex Dynamics and Geometry
A research seminar in complex dynamical systems and complex geometry.
Olympiads and advanced courses
The π Olympiad, Mirzo Ulug‘bek Competition and “Maxsus kurslar” programme for young researchers.
GET IN TOUCH
Let’s talk mathematics.
For research collaborations, seminar invitations or questions about mathematical education, please get in touch.