Research Areas
Finite Geometry & Combinatorics |
The theory of finite geometry seeks to find and develop interconnections with various point-line incidence structures such as affine and projective planes, partitions of quadrics by conic intersections (flocks), generalizations of the notions of quadangles (generalized quadrangles), parallelisms of projective spaces (equivalence relations on the line set satisfying the Euclidean parallel postulate, “packings of projective spaces”), covers of vector and projective spaces by substructures (quasi-and subgeometry partitions). The methods of finite geometry are intrinsically combinatorial but also use theories from coding theory, linear, multilinear, and non-associative algebra and finite group theory. |
