RESEARCH GRANTS:      

•  2011/2012 Fulbright Visiting Scholar, Stony Brook university, USA
• 2002, 2004, 2005: Research Fellowship, The Royal Society, England
• 2004: Research Fellowship, DAAD, Germany
• 2004: Research Fellowship of Lill 1 University, France
• 2007, 2008, 2009, 2010, 2011, 2013, 2015: Research Fellowship, German Research  Foundation (DFG), Germany   
• 1998, 2001, 2002, 2010,2011,2016: Research Fellowship, Abdus Salam ICTP, Italy
• 2014 Research Fellowship, Politecnico di Torino, Turin, Piedmont, Italy
• 2013, 2015: Research Fellowship, National University of Malaysia
• 2007, 2008: Research Fellowship, TUBITAK, Turkey

MEMBERSHIPS:

• Senior Associate of the International Centre for Theoretical Physics (ICTP), 2015-2021.
• Member of Uzbek Mathematical Union

•  Dynamical Systems and its Applications
• Probability & Stochastic Process
• Chaotic Dynamics
• Statistical Physics
• Mathematical Analysis
• Functional Analysis
• Mathematical Biology

MAIN PUBLICATIONS IN LAST FIVE YEARS:

1. Dzhalilov, D.Mayer and U.Safarov. On the conjugation of piecewise smooth circle homeomorphisms with a finite number  of  break  points.  Nonlinearity, 28, p.2441-2459, 2015.
2. Dzhalilov, L.Nicolodi, E.Musso. Conformal geometry of timelike curvesin the (1+2)-Einstein universe, Nonlinear Analysis 143, 224-255, 2016.
3. Akhadkulov, A. Dzhalilov, K. Khanin. “Notes on a theorem of Katznelson and Ornstein”, Discrete and Continuous Dynamical Systems, 37 (9), 4587-4609, (2017)
4. Kleyber Cunha, Akhtam Dzhalilov, Abdumajid Begmatov, Renormalizations of circle maps with several break points ( arXiv:1706.03654 [math.DS]) 12 June 2017
5. Akhtam Dzhalilov, Alisher Jalilov, Dieter Mayer, A remark on Denjoy's inequality for PL circle homeomorphisms with two break points Journal of Mathematical Analysis and Applications, 458, pp. 508–520, 2018
6. Azamov, L. Bunimovich, A. Dzhalilov, H.K. Zhang: Differential Equations and Dynamical Systems, 2 UZUZCAMP, Urgench, Uzbekistan, August 8-12, 2017, Springer Proceedings in Mathematics and Statistics, V.268, 295 pages, Springer, 2018
7. Akhadkulov Habibulla, Dzhalilov Akhtam and Konstantin Khanin: On Linearization of Circle Diffeomorphisms. Springer Proceedings in Mathematics and Statistics, 2 USUZCAMP, Urgench, Uzbekistan, August 8-12, p. 1-8, 2018
8. Akhtam Dzhalilov, Alisher Jalilov and Dieter Mayer: On Herman’s Theorem for Piecewise Smooth Circle Maps with Two Breaks. Springer Proceedings in Mathematics and Statistics, 2 USUZCAMP, Urgench, Uzbekistan, August 8-12, p. 75-100, 2018
9. Dzhalilov, D.Mayer, S. Djalilov, A. Aliyev: An Extention of Herman’s Theorem for Nonlinear Circle Maps with Two Breaks. Russian Journal of Nonlinear Dynamics, vol. 14, no. 4, p. 553–577, 2018
10. Necip Simsek, Akhtam Dzhalilov, Emilio Musso: Some remarks on the geometry of circle maps with a break point. Filomat 32(16), 2018

Publications in national refereed journals

11. Dzhalilov: Small perturbations of some critical maps of the interval, Uzbek Math. Jorn., N3, p. 17-25, 2015 (in Russian).
12. Dzhalilov, A. Begmatov: On orbits of irrational rotations, Uzbek Math. Jorn., N2, p. 9-16, 2016 (in Russian).
13. Dzhalilov, K. Khummamatova: Gibbs measures of Payerls model, Doklady Akad. Nauk Uzbekistan, N2, p.4-9. 2016 (in Russian).
14. A. Dzhalilov, A. Aliyev. On location of singularity points of circle maps. Uzbek Mathematical Journal, 2019, Number 1, P. 50-59.
15. Dzhalilov A.A., Abduhakimov S.Kh. Periodic points of the unstable Feigenbaum separatrix. Bulletin of the Institute of Mathematics, 2019, No 6, pp. 13-16. (in Russian).
16. Dzhalilov, Akhtam and Khomidov, Mukhriddin (2019) "The waiting time and dynamic partitions," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 2: Iss. 1 , Article 3. Available at: https://uzjournals.edu.uz/mns_nuu/vol2/iss1/3.