Zelenko, Igor
individual record
Associate Professor
Positions:
- Associate Professor, Mathematics, College of Science
overview
The main direction of my current research is the construction of canonical frames and differential invariants for a wide class of geometric structures and control systems on manifolds.
education and training
- Ph.D. in Mathematics, Technion - Israel Institute of Technology - (Haifa, Israel) 2002
- M.S. in Mathematics, Technion - Israel Institute of Technology - (Haifa, Israel) 1998
- B.A. in Mathematics, Technion - Israel Institute of Technology - (Haifa, Israel) 1994
selected publications
Academic Articles43
- Porter, C., & Zelenko, I. (2021). Absolute parallelism for 2-nondegenerate CR structures via bigraded Tanaka prolongation. Journal fr die reine und angewandte Mathematik (Crelles Journal). 2021(777), 195-250.
- Jean, F., Maslovskaya, S., & Zelenko, I. (2021). On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. Geometriae Dedicata. 213(1), 295-314.
- Huang, Y., Petroulakis, G., Sottile, F., & Zelenko, I. (2021). Nontrivial linear projections on the Grassmannian Gr3(C6). Linear Algebra and its Applications. 610, 488-505.
- Doubrov, B., & Zelenko, I. (2021). Geometry of rank 2 distributions with nonzero Wilczynski invariants*. Journal of Nonlinear Mathematical Physics. 21(2), 166-166.
Conference Papers3
- Yan, M., Sprintson, A., & Zelenko, I. (2014). Weakly secure data exchange with Generalized Reed Solomon codes. 2014 IEEE International Symposium on Information Theory, 2014 IEEE International Symposium on Information Theory (ISIT). 1366-1370.
- Doubrov, B., & Zelenko, I. (2014). On geometry of affine control systems with one input. GEOMETRIC CONTROL THEORY AND SUB-RIEMANNIAN GEOMETRY. 5, 133-152.
- Agrachev, A., & Zelenko, I. (2001). Principal invariants of Jacobi curves. NONLINEAR CONTROL IN THE YEAR 2000, VOL 1. 258, 9-21.
Repository Documents / Preprints2
- Huang, Y., Petroulakis, G., Sottile, F., & Zelenko, I. (2020). Nontrivial linear projections of the Grassmannian Gr_3(C^6).
researcher on
Principal Investigator1
- Geometry and Analysis on Nonholonomic Structures on Manifolds awarded by National Science Foundation 2014 - 2017
Co-Principal Investigator1
recent teaching activities
- MATH251 Engineering Math Iii Instructor
- MATH308 Differential Equations Instructor
- MATH308 Differential Equations Instructor
- MATH308 Hnr-differential Equations Instructor
- MATH439 Dif Geom Crvs & Srfcs Instructor
chaired theses and dissertations
- Porter, Curtis Wade (2016-08). The Local Equivalence Problem for 7-dimensional, 2-nondegenerate CR Manifolds whose Cubic Form is of Conformal Unitary Type. (Doctoral Dissertation)
- Wendel, Eric Duong Ba (2015-08). On the Maximality of Class of Rank-2 Distributions with 5-Dimensional Cube. (Master's Thesis)
Email
zelenkotamu@tamu.edu
First Name
Igor
Last Name
Zelenko
mailing address
Texas A&M University; Mathematics; 3368 TAMU
College Station, TX 77843-3368
USA