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D-Index
42
Citations
7007
World Ranking
1798
National Ranking
105

Overview

Jean-Yves Thibon is a researcher affiliated with Gustave Eiffel University in France. They have contributed extensively to the field of mathematics, focusing primarily on areas such as discrete mathematics, combinatorics, geometry, topology, algebra, number theory, mathematical physics, statistics, and probability.

Their research spans several interconnected topics, including:

  • Advanced Combinatorial Mathematics
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Advanced Algebra and Geometry
  • Advanced Mathematical Identities
  • semigroups and automata theory
  • Benford's Law and Fraud Detection

Jean-Yves Thibon's publication record includes numerous papers across leading journals and preprint servers. Notable recent papers include:

  • Hopf algebras of m-permutations, (m + 1)-ary trees, and m-parking functions, 2020, Advances in Applied Mathematics
  • The Hopf algebras of signed permutations, of weak quasi-symmetric functions and of Malvenuto-Reutenauer, 2020, Advances in Mathematics
  • Combinatorial Hopf algebras in noncommutative probabilility, 2020, arXiv (Cornell University)
  • A Noncommutative Cycle Index and New Bases of Quasi-symmetric Functions and Noncommutative Symmetric Functions, 2020, Annals of Combinatorics
  • Noncommutative unicellular LLT polynomials, 2020, Journal of Combinatorial Theory Series A

Many of their papers have appeared in positions frequently occupied by their work, such as:

  • arXiv (Cornell University)
  • Advances in Applied Mathematics
  • Algebraic Combinatorics
  • Advances in Mathematics
  • Annals of Combinatorics

They have also published books under the "IRMA lectures in mathematics and theoretical physics" series, including two editions of Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA), both published in 2020.

Jean-Yves Thibon regularly collaborates with several co-authors in their research, such as:

  • Jean-Christophe Novelli
  • Frédéric Menous
  • Loïc Foissy
  • Justine Falque
  • Frédéric Chapoton

Their work integrates concepts from algebra and combinatorics with applications to topology and mathematical physics, reflecting a broad engagement with structure and symmetry in mathematics.

Best Publications

  • Noncommutative Symmetrical Functions

    Israel M. Gelfand;Daniel Krob;Alain Lascoux;Bernard Leclerc

  • Hecke algebras at roots of unity and crystal bases of quantum affine algebras

    Alain Lascoux;Bernard Leclerc;Jean-Yves Thibon

  • Noncommutative Symmetric Functions Iv: Quantum Linear Groups andHecke Algebras at {i q}\,{f =}\,{f 0}

    Daniel Krob;Jean-Yves Thibon

  • NONCOMMUTATIVE SYMMETRIC FUNCTIONS VI: FREE QUASI-SYMMETRIC FUNCTIONS AND RELATED ALGEBRAS

    Gérard Duchamp;Florent Hivert;Jean-Yves Thibon

  • Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties

    Alain Lascoux;Bernard Leclerc;Jean-Yves Thibon

  • Polynomial invariants of four qubits

    Jean-Gabriel Luque;Jean-Yves Thibon

  • The algebra of binary search trees

    F. Hivert;J.-C. Novelli;J.-Y. Thibon

  • Noncommutative symmetric functions II : Transformations of alphabets

    Daniel Krob;Bernard Leclerc;Jean-Yves Thibon

  • Littlewood–Richardson Coefficients and Kazhdan–Lusztig Polynomials

    Bernard Leclerc;Jean-Yves Thibon

  • Crystal graphs andq-analogues of weight multiplicities for the root systemA n

    Alain Lascoux;Bernard Leclerc;Jean-Yves Thibon

  • Noncommutative symmetric functions III : Deformations of Cauchy and convolution algebras

    Gérard Duchamp;Alexander Klyachko;Daniel Krob;Jean-Yves Thibon

  • Canonical bases of q-deformed Fock spaces

    Bernard Leclerc;Jean-Yves Thibon

  • The Plactic Monoid

    Alain Lascoux;B. Leclerc;Jean-Yves Thibon

  • Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras

    Marcelo Aguiar;Carlos André;Carolina Benedetti;Nantel Bergeron

  • Algebraic invariants of five qubits

    Jean-Gabriel Luque;Jean-Yves Thibon

  • Vertex Operators and the Class Algebras of Symmetric Groups

    A. Lascoux;J.-Y. Thibon

  • HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND TENSOR PRODUCTS OF SYMMETRIC GROUP REPRESENTATIONS

    Jean-Yves Thibon

  • Branching Functions ofA(1)n−1and Jantzen–Seitz Problem for Ariki–Koike Algebras

    Omar Foda;Bernard Leclerc;Masato Okado;Jean-Yves Thibon

  • Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited

    Gérard Henry Edmond Duchamp;Florent Hivert;Jean-Christophe Novelli;Jean-Yves Thibon

  • Noncommutative symmetric functions

    Israel Gelfand;D. Krob;Alain Lascoux;B. Leclerc

  • Noncommutative symmetric functions III : D eformations of C auchy and convolution algebras

    Gérard H. E. Duchamp;Alexander Klyachko;Daniel Krob;Jean-Yves Thibon

Frequent Co-Authors

Bernard Leclerc
Bernard Leclerc Université de Caen Normandie
Masato Okado
Masato Okado Osaka Metropolitan University
Persi Diaconis
Persi Diaconis Stanford University
Li Guo
Li Guo Rutgers, The State University of New Jersey
Christophe Reutenauer
Christophe Reutenauer University of Quebec at Montreal
Lauren Williams
Lauren Williams Harvard University
Frank Verstraete
Frank Verstraete Ghent University
Kenneth A. Johnson
Kenneth A. Johnson The University of Texas at Austin

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