Jerzy Kocik

Papers and preprints
Conferences
Back to the main page

---

PRINCIPAL INTERESTS

Geometry and numbers:

1. Apollonian packing of disks and associated geometric structures:
   Minkowski space, Diophantine Descartes formula ("Soddy Circles".
2. Spinor structures and disk packings.

Geometric methods of physics:

1. Lie theory and differential geometry: Lie algebras and and associated geometric structures, geometric methods in description of dynamical systems ---symplectic geometry, Nijenhuis-Lax eqns, geometric quantization, etc;
2. Spinor representations of Minkowski (pseudo-Riemannian) spaces.
3. Foundations of QM.

Discrete structures:

1. Graphs --- their structure via harmonic operator
2. Krawtchouk (discrete) polynomials
3. Partial orders, temporal structures in grammars (mathematical linguistics)

back   top   next