World's Best Scientists 2026 revealed!

Research.com Recognitions

  • 1997 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Ivan Cherednik is affiliated with the University of North Carolina at Chapel Hill in the United States. Their research spans several interdisciplinary fields, primarily in mathematics and engineering, with a focus on topics such as advanced combinatorial mathematics, algebraic structures, and mathematical and theoretical epidemiology and ecology models.

The main fields of study for Cherednik include:

  • Mathematics
  • Engineering

Within these fields, Cherednik has contributed to various subfields, notably:

  • Geometry and Topology
  • Mechanical Engineering
  • Biomedical Engineering
  • Modeling and Simulation
  • Mathematical Physics

Their research topics cover a range of scientific and applied subjects, including:

  • Thermochemical Biomass Conversion Processes
  • Coal Combustion and Slurry Processing
  • Advanced Combinatorial Mathematics
  • Algebraic structures and combinatorial models
  • COVID-19 epidemiological studies
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Environmental and Industrial Safety

Cherednik has a number of publications, among which notable papers are:

  • Jones Polynomials of Torus Knots via DAHA (2021), published in arXiv (Cornell University)
  • Modeling the Waves of Covid-19 (2021), published in Acta Biotheoretica
  • Momentum managing epidemic spread and Bessel functions (2020), published in Chaos Solitons & Fractals

In addition to journal articles, Cherednik has authored book publications, including:

  • Combinatorics, Modeling, Elementary Number Theory (2022), published by World Scientific

Cherednik frequently collaborates with other scholars. Regular coauthors include:

  • Г. В. Кузнецов
  • S. A. Yankovsky
  • Anton Tolokolnikov
  • А. V. Zenkov
  • A. A. Ivanov

Their work appears in various academic venues, with multiple papers published in:

  • UNC Libraries
  • arXiv (Cornell University)
  • bioRxiv (Cold Spring Harbor Laboratory)
  • Journal of Physics Conference Series
  • Energy

Among the awards received, Cherednik was named a Fellow of the John Simon Guggenheim Memorial Foundation in 1997.

Best Publications

  • Factorizing Particles on a Half Line and Root Systems

    Ivan Cherednik

  • Double affine Hecke algebras and Macdonald's conjectures

    Ivan Cherednik

  • A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras

    Ivan Cherednik

  • Double Affine Hecke Algebras

    Ivan Cherednik

  • A new interpretation of Gelfand-Tzetlin bases

    Ivan Cherednik

  • Nonsymmetric Macdonald polynomials

    Ivan Cherednik

  • Double affine hecke algebras, knizhnik-zamolodchikov equations, and macdonald’s operators

    Ivan Cherednik

  • On a method of constructing factorized S matrices in elementary functions

    Ivan Cherednik

  • Jones polynomials of torus knots via DAHA

    Ivan Cherednik

  • Macdonald’s evaluation conjectures and difference Fourier transform

    Ivan Cherednik

  • Integration of Quantum Many-Body Problems by Affine Knizhnik-Zamolodchikov Equations

    Ivan Cherednik

  • Quantum Knizhnik-Zamolodchikov equations and affine root systems

    Ivan Cherednik

  • Special bases of irreducible representations of a degenerate affine Hecke algebra

    Ivan Cherednik

  • Differential equations for the Baker—Akhiezer functions of algebraic curves

    Ivan Cherednik

  • Intertwining operators of double affine Hecke algebras

    Ivan Cherednik

  • Inverse Harish-Chandra Transform and Difference Operators

    Ivan Cherednik

  • Elliptic quantum many-body problem and double affine Knizhnik-Zamolodchikov equation

    Ivan Cherednik

  • Monodromy Representations for Generalized Knizhnik-Zamolodchikov Equations and Hecke Algebras

    Ivan Cherednik

  • Some finite-dimensional representations of generalized Sklyanin algebras

    Ivan Cherednik

  • Integral solutions of trigonometric Knizhnik-Zamolodchikov equations and Kac-Moody algebras

    Ivan Cherednik

Frequent Co-Authors

Boris Feigin
Boris Feigin Hebrew University of Jerusalem
Roger Howe
Roger Howe Texas A&M University

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