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Overview

Vitaly Tarasov is affiliated with Indiana University - Purdue University Indianapolis in the United States. Their research focuses primarily on Mathematics and Physics and Astronomy, with a notable emphasis on several specific subfields. These include Geometry and Topology, Statistical and Nonlinear Physics, Mathematical Physics, Algebra and Number Theory, and Discrete Mathematics and Combinatorics.

The scientist's body of work covers various advanced topics in mathematical sciences, particularly in algebraic structures, nonlinear waves, and combinatorial models. Their main topics of research can be summarized as:

  • Algebraic structures and combinatorial models
  • Nonlinear Waves and Solitons
  • Advanced Algebra and Geometry
  • Advanced Topics in Algebra
  • Advanced Combinatorial Mathematics
  • Mathematical functions and polynomials
  • Quantum chaos and dynamical systems

Recent papers by Vitaly Tarasov illustrate their engagement with contemporary problems in mathematics and economics. Notable recent publications include:

  • Measuring fiscal impulse and its heterogeneous effect on inflationary processes in Russian regions Working Paper Series, 2024, SSRN Electronic Journal
  • Bethe Algebra of Gaudin Model, Calogero-Moser Space, and Cherednik Algebra, 2021, UNC Libraries
  • SPACES OF QUASI-EXPONENTIALS AND REPRESENTATIONS OF THE YANGIAN Y (glN), 2021, UNC Libraries
  • Bethe Algebra of Homogeneous XXX Heisenberg Model has Simple Spectrum, 2021, UNC Libraries
  • Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions, 2021, UNC Libraries

Vitaly Tarasov has collaborated frequently with several coauthors. Among the most common collaborators are:

  • Alexander Varchenko
  • E. Mukhin
  • A. Varchenko
  • Alexander Myasnikov
  • Ann Averyanova

The publication venues where Vitaly Tarasov's work appears predominantly include:

  • UNC Libraries
  • SSRN Electronic Journal
  • Journal of Mathematical Sciences
  • Contemporary Mathematics - American Mathematical Society

The combination of theoretical mathematics with applications in physics and economics characterizes Vitaly Tarasov's research portfolio. Their work contributes to the understanding of complex algebraic and geometric structures as well as dynamic systems, reflected in their focused participation in both academic publishing and collaborative research projects.

Best Publications

  • Geometry of q -hypergeometric functions as a bridge between Yangians and quantum affine algebras

    V. Tarasov;V. Tarasov;A. Varchenko

  • Schubert calculus and representations of the general linear group

    Evgeny Mukhin;Vitaly Tarasov;Alexander Nikoalevich Varchenko

  • Bethe eigenvectors of higher transfer matrices

    E Mukhin;V Tarasov;V Tarasov;A Varchenko

  • Differential Equations Compatible with KZ Equations

    G. Felder;Y. Markov;V. Tarasov;Alexander Varchenko

  • Geometry of q-hypergeometric nctions, quantum affine algebras and elliptic quantum groups

    V. Tarasov;V. Tarasov;A. Varchenko

  • The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz

    Evgeny Mukhin;Vitaly Tarasov;Alexander Nikoalevich Varchenko

  • Duality for Knizhnik-Zamolodchikov and dynamical equations

    V. Tarasov;A. Varchenko

  • Bethe Algebra of Homogeneous XXX Heisenberg Model has Simple Spectrum

    E. Mukhin;V. Tarasov;V. Tarasov;A. Varchenko

  • Bispectral and (glN, glM) dualities, discrete versus differential

    Evgeny Mukhin;Vitaly Tarasov;Vitaly Tarasov;Alexander Nikoalevich Varchenko

  • Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups

    Vitaly Tarasov;Alexander Varchenko

  • Completeness of Bethe vectors and difference equations with regular singular points

    Vitaly Tarasov;Vitaly Tarasov;Alexander Varchenko

  • Difference equations compatible with trigonometric KZ differential equations

    V. Tarasov;A. Varchenko

  • Combinatorial Formulae for Nested Bethe Vectors

    Vitaly Tarasov;Vitaly Tarasov;Alexander Varchenko

  • Metrics with conic singularities and spherical polygons

    Alexandre Eremenko;Andrei Gabrielov;Vitaly Tarasov

  • Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations

    Giovanni Felder;Vitaly Tarasov;Alexander Varchenko

  • Trigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety

    R. Rimányi;V. Tarasov;V. Tarasov;A. Varchenko

  • Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of _

    E. Mukhin;V. Tarasov;V. Tarasov;A. Varchenko

  • Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra

    Vassily Gorbounov;Richárd Rimányi;Vitaly Tarasov;Vitaly Tarasov;Alexander Varchenko

  • Elliptic and K-theoretic stable envelopes and Newton polytopes

    R. Rimányi;V. Tarasov;V. Tarasov;A. Varchenko;A. Varchenko

  • Solutions of the elliptic qKZB equations and Bethe ansatz I

    Giovanni Felder;Alexander Varchenko;Vitaly Tarasov

Frequent Co-Authors

Alexander Varchenko
Alexander Varchenko University of North Carolina at Chapel Hill
Andrei Gabrielov
Andrei Gabrielov Purdue University West Lafayette
Tetsuji Miwa
Tetsuji Miwa Kyoto University
Paul Zinn-Justin
Paul Zinn-Justin University of Melbourne

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