# 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.

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
Canonical Forms In Linear And Multilinear Algebra

# keywords[]
Curves And Submanifolds In Flag Varieties

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4007 Control Engineering, Mechatronics And Robotics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# educationAndTraining[].organization.label
Technion - Israel Institute of Technology - (Haifa, Israel)

# educationAndTraining[].organization.label
Technion - Israel Institute of Technology - (Haifa, Israel)

# educationAndTraining[].organization.label
Technion - Israel Institute of Technology - (Haifa, Israel)

# publications[].label
Complete systems of invariants for rank 1 curves in Lagrange Grassmannians

# publications[].label
Canonical bundles of moving frames for parametrized curves in Lagrangian   Grassmannians: algebraic approach

# publications[].label
A canonical frame for nonholonomic rank two distributions of maximal class

# publications[].label
Platooning in the Presence of a Speed Drop: A Generalized Control Model

# publications[].label
Canonical bundles of moving frames for parametrized curves in Lagrangian Grassmannians: algebraic approach

# publications[].label
RICCI CURVATURE TYPE LOWER BOUNDS FOR SUB-RIEMANNIAN STRUCTURES ON SASAKIAN MANIFOLDS

# publications[].publisher
American Institute of Mathematical Sciences (AIMS)

# publications[].label
On Weyl's type theorems and genericity of projective rigidity in sub-Riemannian geometry

# publications[].label
Book Review: Control of nonholonomic systems: from sub-Riemannian geometry to motion planning

# publications[].label
A congruence modulo four in real Schubert calculus

# publications[].label
Variational Approach to Differential Invariants of Rank 2 Vector Distributions

# publications[].label
Equivalence of variational problems of higher order

# publications[].label
Nontrivial linear projections of the Grassmannian Gr_3(C^6)

# publications[].label
On feedback classification of control-affine systems with one- and two-dimensional inputs

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Prolongation of quasi-principal frame bundles and geometry of flag structures on manifolds

# publications[].label
On local geometry of rank 3 distributions with 6-dimensional square

# publications[].label
On geometry of affine control systems with one input

# publications[].label
Absolute parallelism for 2-nondegenerate CR structures via bigraded Tanaka prolongation

# publications[].label
On projective and affine equivalence of sub-Riemannian metrics

# publications[].label
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type

# publications[].publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

# publications[].label
A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class

# publications[].label
Maximal Dimension of Groups of Symmetries of Homogeneous 2-nondegenerate CR Structures of Hypersurface Type with a 1-dimensional Levi Kernel

# publications[].label
On curvatures and focal points of dynamical Lagrangian distributions and their reductions by first integrals

# publications[].label
On Eisenhart's type theorem for sub-Riemannian metrics on step $2$ distributions with $mathrm{ad}$-surjective Tanaka symbols

# publications[].label
On geometry of curves of flags of constant type

# publications[].label
RIGID PATHS OF GENERIC 2-DISTRIBUTIONS ON 3-MANIFOLDS

# publications[].label
Equivalence of variational problems of higher order

# publications[].label
Fundamental form and Cartan's tensor of (2,5)-distributions coincide

# publications[].label
Absolute parallelism for 2-nondegenerate CR structures via bigraded Tanaka prolongation

# publications[].label
Nurowski's conformal structures for (2,5)-distributions via dynamics of abnormal extremals

# publications[].label
Vector distributions with very large symmetries via rational normal curves

# publications[].label
Fundamental form and the Cartan tensor of (2,5)-distributions coincide

# publications[].label
On geometry of curves of flags of constant type

# publications[].label
Maximal dimension of groups of symmetries of homogeneous 2-nondegenerate CR structures of hypersurface type with a 1-dimensional Levi kernel

# publications[].label
Platooning in the Presence of a Speed Drop: A Generalized Control Model

# publications[].label
Inverse Optimal Control Problem: the Sub-Riemannian Case

# publications[].label
Parametrized curves in lagrange grassmannians

# publications[].label
Canonical frames for distributions of odd rank and corank 2 with maximal first Kronecker index

# publications[].label
On geodesic equivalence of Riemannian metrics and sub-Riemannian metrics on distributions of corank 1

# publications[].label
On variational approach to differential invariants of rank two distributions

# publications[].label
A canonical form for pairs consisting of a Hermitian form and a self-adjoint antilinear operator

# publications[].label
Differential geometry of curves in Lagrange Grassmannians with given Young diagram

# publications[].label
A Congruence Modulo Four for Real Schubert Calculus with Isotropic Flags

# publications[].label
On feedback classification of control-affine systems with one and two-dimensional inputs

# publications[].label
Vector distributions with very large symmetries via rational normal   curves

# publications[].label
A congruence modulo four in real Schubert calculus with isotropic flags

# publications[].label
Geometry of curves in parabolic homogeneous spaces

# publications[].label
On Weyl's type theorems and genericity of projective rigidity in sub-Riemannian Geometry

# publications[].label
Symmetries of trivial systems of ODEs of mixed order

# publications[].label
Canonical Frames for Distributions of Odd Rank and Corank 2 with Maximal First Kronecker Index

# publications[].label
Weakly Secure Data Exchange with Generalized Reed Solomon Codes

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
Jacobi Equations and Comparison Theorems for Corank 1 sub-Riemannian Structures with Symmetries

# publications[].label
On geometry of $2$-nondegenerate CR structures of hypersurface type and flag structures on leaf spaces of Levi foliations

# publications[].label
Nonregular Abnormal Extremals of 2-Distribution: Existence, Second Variation, and Rigidity

# publications[].label
Symmetries of trivial systems of ODEs of mixed order

# publications[].label
On projective and affine equivalence of sub-Riemannian metrics

# publications[].label
On geodesic equivalence of Riemannian metrics and sub-Riemannian metrics on distributions of corank 1

# publications[].label
On curvatures and focal points of dynamical Lagrangian distributions and their reductions by first integrals

# publications[].label
Maximal dimension of groups of symmetries of homogeneous 2-nondegenerate   CR structures of hypersurface type with a 1-dimensional Levi kernel

# publications[].label
On geometry of $2$-nondegenerate CR structures of hypersurface type and   flag structures on leaf spaces of Levi foliations

# publications[].label
On local geometry of non-holonomic rank 2 distributions

# publications[].label
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type

# publications[].label
A congruence modulo four in real Schubert calculus

# publications[].label
On local geometry of nonholonomic rank 2 distributions

# publications[].label
Symplectification of Rank 2 Distributions, Normal Cartan Connections,   and Cartan Prolongations

# publications[].label
On local geometry of vector distributions with given Jacobi symbols

# publications[].label
Ricci curvature type lower bounds for sub-Riemannian structures on Sasakian manifolds

# publications[].label
Morse inequalities for ordered eigenvalues of generic self-adjoint families

# publications[].label
A canonical form for pairs consisting of a Hermitian form and a self-adjoint antilinear operator

# publications[].label
On geometry of 2-nondegenerate CR structures of hypersurface type and flag structures on leaf spaces of Levi foliations

# publications[].label
Differential geometry of curves in Lagrange Grassmannians with given Young diagram

# publications[].label
Geometry of curves in generalized flag varieties

# publications[].label
Geometry of rank 2 distributions with nonzero Wilczynski invariants and affine control systems with one input

# publications[].label
Jacobi equations and Comparison Theorems for corank 1 sub-Riemannian structures with symmetries

# publications[].label
On local geometry of vector distributions with given Jacobi symbols

# publications[].label
Geometry of rank 2 distributions with nonzero Wilczynski invariants

# publications[].label
Nontrivial linear projections on the Grassmannian Gr(3)(C-6)

# researcherOn[].label
Texas Geometry and Topology Conference (TGTC)

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Geometry and Analysis on Nonholonomic Structures on Manifolds

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# streetAddress
Texas A&M University; Mathematics; 3368 TAMU

# etdChairOf[].label
Huang, Yanhe (2016-05). Injectivity Properties of Generalized Wronski Map. Master's Thesis.