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1 Background In 1873 the French mathematician Emil Mathieu published a paper in which he ’glued’ together copies of the projective special linear group L2(23) acting on the 24-point projective line P1(23) to produce a new group with remarkable properties. Although enormous in comparison to L2(23), the new group was a tiny subgroup of A24, […]
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We are the kind of people who are always interested in the strongest example of something, the paragon. When we eat Swiss cheese (Emmental), we want our senses to tell us that; we shouldn’t have any doubts that maybe we are eating cheddar. This book takes the same approach to Jordan systems in mathematics. […]
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Regression to the mean is a powerful and common source of bias in interpreting data. Once understood, its potential to mislead is obvious. Yet many scientists are regularly fooled by it. In this blog I shall try explain it.
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My new book “Programming in Parallel with CUDA – A Practical Guide” was born out of the excitement I feel about computing with GPUs. I have always had passion for science and computer programming. I wrote my first program in 1964 for the Cambridge EDSAC II computer using a Fortran like programming language. Since then, […]
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For every tourist in Cambridge, there are some must-see spots like King’s College chapel, the Mathematical Bridge at Queens‘ College, and, certainly, the apple tree at Trinity College.
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In his 1597 play ‘Romeo and Juliet’, William Shakespeare narrates the tragic story of Romeo Montague and Juliet Capulet. The two young persons are in love, but their families are engaged in a blood feud. The consequences were tragic. The imposition of statistics in medicine evokes similarly strong emotions. The animosity may not be as […]
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'Conformal Blocks, Generalized Theta Functions and the Verlinde Formula' author Shrawan Kumar details his mathematical career and what he values in mathematical literature.
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What does it mean for a sequence of 0s and 1s to be random? One way to answer this question is to use tools from mathematical logic, specifically computability theory: a sequence is random if it contains no regularities that can be detected by an idealized computer that has no time or space limitations.
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