  In this summary of Habilitation Thesis, it is outlined author's 18 years
research activity on mathematical physics, geometric methods in particle
physics and gravity, modifications and applications (after defending his PhD
thesis in 1994). Ten most relevant publications are structured conventionally
into three "strategic directions": 1) nonholonomic geometric flows evolutions
and exact solutions for Ricci solitons and field equations in (modified)
gravity theories; 2) geometric methods in quantization of models with nonlinear
dynamics and anisotropic field interactions; 3) (non) commutative geometry,
almost Kaehler and Clifford structures, Dirac operators and effective
Lagrange-Hamilton and Riemann-Finsler spaces.
