mathematical modelling, geometric modelling, computer geometry, computer aided geometric design.

1. R. Ziatdinov, J. R. Valles Jr., “Synthesis of Modeling, Visualization, and Programming in GeoGebra as an Effective Approach for Teaching and Learning STEM Topics”, Mathematics, 8:5, Special Issue Digital Transformation of Mathematics Education (2022), 762 https://www.mdpi.com/2227-7390/10/3/398, arXiv: https://arxiv.org/abs/2202.01415    
2. V. Muftejev, R. Ziatdinov, R. Nabiyev, “Multi-criteria assessment of shape quality in CAD systems of the future”, CEUR Workshop Proceedings (Saint Petersburg, 20-25 2020), 2744, Graphicon society, 2020, 165807 https://ceur-ws.org/Vol-2744/paper68.pdf  
3. J. I. Inoguchi, R. Ziatdinov, K. T. Miura, “A Note on Superspirals of Confluent Type”, Mathematics, 8:5 (2020), 762 (Published online) https://www.mdpi.com/2227-7390/8/5/762    
4. J. I. Inoguchi, R. Ziatdinov, K. T. Miura, “Generalization of log-aesthetic curves via similarity geometry”, Japan Journal of Industrial and Applied Mathematics, 36:1 (2019), 239–259 (to appear) https://link.springer.com/article/10.1007/s13160-018-0335-7    
5. R. Ziatdinov, R. Nabiyev, H. Kim, S. H. Lim, “The Concept of a Dew Collection Device Based on the Mathematical Model of Sliding Liquid Drops on an Inclined Solid Surface”, IOP Conference Series: Earth and Environmental Science (Russky Island), 272(2), IOP, 2019, 022091 https://iopscience.iop.org/article/10.1088/1755-1315/272/2/022091    
6. A. V. Ivchenko, R. Ziatdinov, “New conceptual design of the adaptive compliant aircraft wing frame”, Engineering Science and Technology, an International, 22:5 (2019), 1149–1154 https://www.sciencedirect.com/science/article/pii/S2215098619302757    
7. Alexey I. Ivchenko, Nikolay Sharonov, Rushan Ziatdinov, “A new conceptual model of an adaptive compliant wing for an aircraft”, Engineering Science and Technology, an International Journal, 22:5 (2019), 1149-1154 https://www.sciencedirect.com/science/article/pii/S2215098619302757      
8. R. Ziatdinov, V. Muftejev, R. Nabiyev, A. Mardanov, R. Akhmetshin, “Techniques for modeling a high-quality B-spline curves by S-polygons in a float format”, GraphiCon 2018 - 28th International Conference on Computer Graphics and Vision (Tomsk, September 24-27), Graphicon society, 2018, 324–327 https://arxiv.org/ftp/arxiv/papers/1812/1812.04223.pdf  
9. R. Ziatdinov, N. Yoshida, T. Kim, “Visualization and analysis of regions of monotonic curvature for interpolating segments of extended sectrices of Maclaurin”, Computer Aided Geometric Design, 2017, no. 56, 35–47 https://www.sciencedirect.com/science/article/abs/pii/S0167839617301206    
10. A. V. Ivchenko, R. Ziatdinov, “Flexagon grid: a novel method of creating dynamic spatial forms based on the synthesis of tritetraflexagons”, Engineering Science and Technology, an International Journal, 20:5 (2017), 1500–1506 https://www.sciencedirect.com/science/article/pii/S2215098617308753    
11. R. Ziatdinov, “Visual Perception, Quantity of Information Function and the Concept of the Quantity of Information Continuous Splines”, Scientific Visualization, 8:1 (2016), 168–178 http://sv-journal.org/2016-1/11.php?lang=en  
12. R. Ziatdinov, T. Kim, R. I. Nabiyev, “Two-point G1 Hermite interpolation in biangular coordinates”, Journal of Computational and Applied Mathematics, 2015, no. 287, 1–11 https://www.sciencedirect.com/science/article/pii/S0377042715001107  
13. Rushan Ziatdinov, Tae-wan Kim, Rifkat I. Nabiyev, “Two-point G1 Hermite interpolation in biangular coordinates”, Journal of Computational and Applied Mathematics, 287 (2015), 1-11 http://www.sciencedirect.com/science/article/pii/S0377042715001107          
14. A. Arslan, E. Tari, R. Ziatdinov, R .I, Nabiyev, “Transition Curve Modeling with Kinematical Properties: Research on Log-Aesthetic Curves”, Computer-Aided Design and Applications, 11:5 (2014), 509–517 https://www.tandfonline.com/doi/abs/10.1080/16864360.2014.902680?journalCode=tcad20  
15. Rushan Ziatdinov, Norimasa Yoshida, Tae-wan Kim, “Fitting G2 multispiral transition curve joining two straight lines”, Computer-Aided Design, 44:6 (2012), 591-596    
16. Rushan Ziatdinov, “Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function”, Computer Aided Geometric Design, 29:7 (2012), 510-518        
17. Rushan Ziatdinov, Kenjiro T. Miura, “On the variety of planar spirals and their applications in computer aided design”, European Researcher, 27:8-2 (2012), 1227-1232
18. Rushan Ziatdinov, Norimasa Yoshida, Tae-wan Kim, “Analytic parametric equations of log-aesthetic curves in terms of incomplete gamma functions”, Computer Aided Geometric Design, 29:2 (2012), 129-140 https://www.dropbox.com/s/mlvpvsta33ii00s/Analytic_equations_of_LACs.pdf        
19. Yu. G. Ignat'ev, R. A. Ziatdinov, Proceedings of the Third All-Russian Scientific Conference (29–31 May 2006). Part 4, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2006, 45–48  

• Keimyung University
• Kazan National Research Technical University named after A. N. Tupolev
• Seoul National University
• Fatih University, İstanbul
• Tatar State University of Humanities and Education, Kazan