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Department of Mathematics & Statistics
My area of interest is combinatorial design theory.
A fundamental relation in design theory is the classical equivalence between complete sets of mutually orthogonal latin squares (MOLS) and finite affine and projective planes. Much of my recent work has been in the direction of extending this equivalence to develop an ordered hierarchy of combinatorial structures beginning with MOLS and finite planes and including complete sets of mutually orthogonal frequency squares, orthogonal hypercubes, transversal designs, affine geometries and affine designs and ending with (t,m,s)-nets.
The intent is to clarify the relations between these combinatorial structures and to show all of them as special cases of (t,m,s)-nets.