He worked mainly on combinatorial methods and questions in real analysis, such as the Kakeya needle problem and the Hausdorff-Besicovitch dimension.

New types of Design of experiments methods have also been developed to efficiently address the large experimental spaces that can be tackled using combinatorial methods.

Consequently, its homology can be studied by combinatorial and geometric methods.

Binomial dynamic copulas apply combinatorial methods to avoid Monte Carlo simulations.

In 1936 Gerhard Gentzen proved the consistency of first-order arithmetic using combinatorial methods.

For the use of combinatorial methods in mathematics, see Combinatorial principles.

For the use of combinatorial methods in computer science, see Combinatorial optimization.

His current research interests concentrate on geometric and combinatorial methods in infinite group theory.

The combinatorial method consists of three distinct stages or components:

Hydrogenography is a combinatorial method based on the observation of optical changes on the metal surface by hydrogen absorption.