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Kazuhiro Hikami

Kazuhiro Hikami

D-Index & Metrics

Mathematics

D-Index
32
Citations
3864
World Ranking
3226
National Ranking
54

Overview

Kazuhiro Hikami is affiliated with Kyushu University in Japan and specializes primarily in Mathematics. Their research spans various subfields within this domain, with a particular focus on Geometry and Topology, Discrete Mathematics and Combinatorics, Algebra and Number Theory, Mathematical Physics, and occasionally intersecting with Polymers and Plastics.

The main topics that characterize Hikami's work include:

  • Geometric and Algebraic Topology
  • Advanced Combinatorial Mathematics
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Homotopy and Cohomology in Algebraic Topology
  • Geometry and complex manifolds
  • Commutative Algebra and Its Applications

Kazuhiro Hikami has a record of publishing in various scientific venues, including:

  • arXiv (Cornell University)
  • Letters in Mathematical Physics
  • Journal of Geometry and Physics
  • SSRN Electronic Journal
  • Journal of Physics A Mathematical and Theoretical

Recent papers authored by Hikami illustrate an emphasis on double affine Hecke algebras and related algebraic and topological structures. These include:

  • Generalized double affine Hecke algebra for double torus (2024), published in Letters in Mathematical Physics
  • A note on double affine Hecke algebra for skein algebra on twice-punctured torus (2024), published in Journal of Geometry and Physics
  • Torus links T2s,2t and (s,t)-log VOA (2023), available on arXiv (Cornell University)
  • Non-semisimple invariants and Habiro's series (2020), available on arXiv (Cornell University)
  • Generalized Double Affine Hecke Algebra for Double Torus (2024), available on arXiv (Cornell University)

Kazuhiro Hikami has also contributed to book publications, such as the volume titled Non-semisimple invariants and Habiro series, published by the University of Zurich in 2021.

Their research collaborations include frequent coauthors like:

  • Anna Beliakova
  • Shoma Sugimoto
  • Athanase Papadopoulos

Best Publications

  • Note on twisted elliptic genus of K3 surface

    Tohru Eguchi;Kazuhiro Hikami

  • The AM(1) automata related to crystals of symmetric tensors

    G. Hatayama;Kazuhiro Hikami;R. Inoue;A. Kuniba

  • Generalized volume conjecture and the A-polynomials: The Neumann–Zagier potential function as a classical limit of the partition function

    Kazuhiro Hikami

  • The A^{(1)}_M automata related to crystals of symmetric tensors

    Goro Hatayama;Kazuhiro Hikami;Rei Inoue;Atsuo Kuniba

  • Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems

    Kazuhiro Hikami

  • Quantum integrability of the generalized elliptic Ruijsenaars models

    Yasushi Komori;Kazuhiro Hikami

  • Yangian symmetry and Virasoro character in a lattice spin system with long-range interactions

    Kazuhiro Hikami

  • DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT

    Kazuhiro Hikami

  • Integrability of Calogero-Moser Spin System

    Kazuhiro Hikami;Miki Wadati

  • Infinite symmetry of the spin systems with inverse square interactions

    Kazuhiro Hikami;Miki Wadati

  • Crystallization of the Bogoyavlensky Lattice

    Kazuhiro Hikami;Rei Inoue;Yasushi Komori

  • HYPERBOLIC STRUCTURE ARISING FROM A KNOT INVARIANT

    Kazuhiro Hikami

  • Construction of integrable spin systems with long-range interactions

    Kazuhiro Hikami;Kazuhiro Hikami;P. P. Kulish;Miki Wadati;Miki Wadati

  • Mock (false) theta functions as quantum invariants

    Kazuhiro Hikami

  • Superconformal algebras and mock theta functions 2: Rademacher expansion for K3 surface

    Tohru Eguchi;Kazuhiro Hikami

  • Torus knot and minimal model

    Kazuhiro Hikami;Anatol N. Kirillov

  • Quantum Invariant for Torus Link and Modular Forms

    Kazuhiro Hikami

  • Volume Conjecture and Asymptotic Expansion of q-Series

    Kazuhiro Hikami

  • Gaudin magnet with boundary and generalized Knizhnik-Zamolodchikov equation

    K Hikami

  • Integrability of the quantum Calogero-Moser model

    Hideaki Ujino;Kazuhiro Hikami;Miki Wadati

  • The Quantum Calogero-Moser Model: Algebraic Structures

    Hideaki Ujino;Miki Wadati;Kazuhiro Hikami

Frequent Co-Authors

Denis Bernard
Denis Bernard École Normale Supérieure
Atsuo Kuniba
Atsuo Kuniba University of Tokyo
Kathrin Bringmann
Kathrin Bringmann University of Cologne

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