Imre Leader (source code)

= Imre Leader
{c}

<Imre Leader> studies extremal <combinatorics> and <Ramsey theory>. His Cambridge research profile identifies these areas.https://www.dpmms.cam.ac.uk/person/ibl10[Institutional research interests]{ref}

With <Neil Hindman> and <Dona Strauss>, he studied compatibility between <Milliken-Taylor systems>. The coefficients of two systems cannot be chosen arbitrarily if both are to be monochromatic in the required simultaneous sense. Their theorem identifies a positive-rational-proportionality condition for compressed positive coefficient patterns, sharpening the distinction between individually unavoidable patterns and jointly compatible ones.<Separating Milliken-Taylor Systems with Negative Entries by Neil Hindman and others>[Definition 1.5 and Theorem 1.7]{ref}