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

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  • Citations
  • Altmetric
  • SNIP
  • Author
x4
  • M. BurtsevM. Burtsev
  • A. V. KosyakA. V. Kosyak
  • J. WangJ. Wang
  • Y. HeY. He
  • O. GamayunO. Gamayun
  • E. SobkoE. Sobko
  • F. SheldonF. Sheldon
  • F. CaravelliF. Caravelli
  • I. ShkredovI. Shkredov
  • A. StepanenkoA. Stepanenko
  • A. SarikyanA. Sarikyan
  • A. EsterovA. Esterov
  • A. OchirovA. Ochirov
  • M. ReevesM. Reeves
  • T. FinkT. Fink
  • G. CaldarelliG. Caldarelli
  • R. HannamR. Hannam
  • A. CoolenA. Coolen
  • O. DahlstenO. Dahlsten
  • A. MozeikaA. Mozeika
  • M. BardosciaM. Bardoscia
  • P. BaruccaP. Barucca
  • M. RowleyM. Rowley
  • I. TeimouriI. Teimouri
  • F. AntenucciF. Antenucci
  • A. ScalaA. Scala
  • R. FarrR. Farr
  • A. ZegaracA. Zegarac
  • S. SebastioS. Sebastio
  • B. BollobásB. Bollobás
  • F. LafondF. Lafond
  • D. FarmerD. Farmer
  • C. PickardC. Pickard
  • T. ReevesT. Reeves
  • J. BlundellJ. Blundell
  • A. GallagherA. Gallagher
  • M. PrzykuckiM. Przykucki
  • P. SmithP. Smith
  • L. PietroneroL. Pietronero
  • The Lawrence-Krammer representation is a quantization of the symmetric square of the Burau representation

    Representation theory

    AVA. V. Kosyak Linear Algebra and its Applications

    Braid representations

    We demonstrate that the Lawrence–Krammer representation arises as a q-deformation of the symmetric square of the Burau representation.

  • The generalized characteristic polynomial, corresponding resolvent and their application

    Representation theory

    AVA. V. Kosyak Arxiv

    Group representations

    A general approach to proving the irreducibility of representations of infinite-dimensional groups within the frame of Ismagilov's conjecture.

  • Irreducible actions of the group GL(∞) on L²-spaces on 3 infinite rows

    Representation theory

    AVA. V. KosyakPM Journal of Lie Theory

    Irreducible group action

    We construct the unitary representation of an infinite-dimensional general linear group acting on a space and establish its irreducibility.

  • The height of an infinite parallelotope is infinite

    Linear algebra

    AVA. V. Kosyak Linear Algebra and its Applications

    Infinite parallelotope

    We study the geometry of finite dimensional space as the dimension grows to infinity with an accent on the height of the parallelotope.