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 für die reine und angewandte Mathematik (Crelles Journal). 0(0), 000010151520210012.
- Huang, Y., Petroulakis, G., Sottile, F., & Zelenko, I. (2021). Nontrivial linear projections on the Grassmannian Gr 3 ( C 6 ). 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), 166-187.
- Jean, F., Maslovskaya, S., & Zelenko, I. (2020). On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. GEOMETRIAE DEDICATA. 1-20.
- Sykes, D., & Zelenko, I. (2020). A canonical form for pairs consisting of a Hermitian form and a self-adjoint antilinear operator. Linear Algebra and its Applications. 590, 32-61.
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 (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. ADVANCES IN COOPERATIVE CONTROL AND OPTIMIZATION. 258, 9-21.
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 Hnr-differential Equations Instructor
- MATH439 Dif Geom Crvs & Srfcs Instructor
- MATH485 Hnr-directed Studies 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