Deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves.

A study of the Hardy spaces of functions with values in the noncommutative $L^p$-spaces associated with a semifinite von Neumann algebra $mathcal.$. It defines noncommutative Hardy spaces by noncommutative Lusin integral function, and it is proved that

Considers the Restricted, Circular, Planar, Three-Body Problem (RCP3BP) - the problem of studying the planar motions of a small body subject to the gravitational attraction of two primary bodies revolving on circular Keplerian orbits (which are assumed not

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Proves that the Martino-Priddy conjecture at the prime $2$: the $2$-completions of the classifying spaces of two finite groups $G$ and $G'$ are homotopy equivalent if and only if there is an isomorphism between their Sylow $2$-subgroups which preserves fus

Proves Rivoal's 'denominator conjecture' concerning the common denominators of coefficients of certain linear forms in zeta values; these forms were constructed to obtain lower bounds for the dimension of the vector space over $mathbb Q$ spanned by $1,zeta

Presents categorical foundations that are needed for working out completely the rigorous approach to the definition of conformal field theory outlined by Graeme Segal. This book discusses pseudo algebras over theories and 2-theories, their pseudo morphisms

The 'recognition theorem' for graded Lie algebras is an essential ingredient in the classification of finite-dimensional simple Lie algebras over an algebraically closed field of characteristic p.3. This monograph presents the first complete proof of this fundamental result.