Our papers are the official record of our discoveries. They allow others to build on and apply our work. Each paper is the result of many months of research, so we make a special effort to make them clear, beautiful and inspirational, and publish them in leading journals.

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  • The height of an infinite parallelotope is infinite

    Representation theory

    AVA. V. Kosyak Submitted

    Infinitely high parallelotopes

    The height of an infinite parallelotope is infinite, an essential ingredient to prove the irreducibility of unitary representations of some infinite-dimensional groups.

  • Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows

    Representation theory

    AVA. V. KosyakPM Submitted

    Infinite dimensional irreducibility

    An analog of quasi-regular representations can be constructed for an infinite-dimensional group, despite the absence of the Haar measure.