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Hibi Takayuki

日比 孝之

Graduate School of Information Science and Technology Department of Pure and Applied Mathematics, Professor

keyword Convex Polytope,Computational Commutative Algebra,Gröbner Basis,Monomial Ideal and Binomial Ideal

Education

  • 1983/04 - 1985/03, Hiroshima University, Graduate School of Science
  • 1981/04 - 1983/03, Hiroshima University, Graduate School of Science
  • 1976/04 - 1981/03, Nagoya University, School of Science
  • 1987/12 - , Ph.D. (Nagoya University)

Research History

  • 2002/04 - Present, Osaka University, Graduate School of Information Science and Technology
  • 1996/04 - 2002/03, Osaka University, Graduate School of Science
  • 1995/04 - 1996/03, Osaka University, School of Science
  • 1991/10 - 1995/03, Hokkaido University, School of Science
  • 1990/10 - 1991/09, Hokkaido University, School of Science
  • 1985/04 - 1990/09, Nagoya University, School of Science

Research Areas

  • Natural sciences, Algebra, Commutative Algebra

Professional Memberships

  • 日本数学会

Papers

  • Canonical trace ideal and residue for numerical semigroup rings, Jürgen Herzog,Takayuki Hibi,Dumitru I. Stamate, Semigroup Forum, Vol. 103, p. 550-566, 2021
  • Homological invariants of Cameron--Walker graphs, Takayuki Hibi,Hiroju Kanno,Kyouko Kimura,Kazunori Matsuda,Adam Van Tuyl, Trans. Amer. Math. Soc., Vol. 374, p. 6559-6582, 2021
  • Gorenstein graphic matroids, Takayuki Hibi,Michał Lasoń,Kazunori Matsuda,Mateusz Michałek,Martin Vodička, Israel J. Math., Vol. 243, p. 1-26, 2021
  • Nearly Gorenstein rings arising from finite graphs, Takayuki Hibi,Dumitru I. Stamate, Electron. J. Combin., Vol. 28, 2021
  • Squarefree powers of edge ideals of forests, Nursel Erey,Takayuki Hibi, Electron. J. Combin., Vol. 28, 2021
  • Regularity and a-invariant of Cameron--Walker graphs, Takayuki Hibi,Kyouko Kimura,Kazunori Matsuda,Akiyoshi Tsuchiya, J. Algebra, Vol. 584, p. 215-242, 2021
  • MAX MIN vertex cover and the size of Betti tables, Huy Tài Hà,Takayuki Hibi, Ann. Comb., Vol. 25, p. 115-132, 2021
  • Integer decomposition property for Cayley sums of order and stable set polytopes, Takayuk Hibi, Hidefumi Ohsugi, Akiyoshi Tsuchiya, Michigan Math. J., Vol. 69, p. 765-778, 2020
  • Matching numbers and the regularity of the Rees algebra of an edge ideal, Jürgen Herzog,Takayuki Hibi, Ann. Comb., Vol. 24, p. 577-586, 2020
  • An upper bound for the regularity of powers of edge ideals, Jürgen Herzog,Takayuki Hibi, Math. Scand., Vol. 126, p. 165-169, 2020
  • Classification of lattice polytopes with small volumes, Takayuki Hibi,Akiyoshi Tsuchiya, J. Comb., Vol. 11, p. 495-509, 2020
  • The regularity of edge rings and matching numbers, Jürgen Herzog,Takayuki Hibi, Mathematics, MDPI AG, Vol. 8, 2020/01/01
  • Odd cycles and Hilbert functions of their toric rings, Takayuki Hibi,Akiyoshi Tsuchiya, Vol. 8, 2020/01/01
  • The trace of the canonical module, Jürgen Herzog,Takayuki Hibi,Dumitru I,Stamate, Israel J. Math., Vol. 233, p. 133-165, 2019/12/31
  • Gorenstein simplices with a given δ-polynomial, Takayuki Hibi,Akiyoshi Tsuchiya,Koutarou Yoshida, Discrete Math., Vol. 342, 2019/12/31
  • Cutting convex polytopes by hyperplanes, Takayuki Hibi,Nan Li, Mathematics, MDPI AG, Vol. 7, 2019/04/26
  • Regularity and h-polynomials of edge ideals, Takayuki Hibi,Kazunori Matsuda,Adam Van Tuyl, Electron. J. Combin., Vol. 26, 2019/02/22
  • The depth of a reflexive polytope, Takayuki Hibi,Akiyoshi Tsuchiya, Arch. Math. (Basel), Vol. 113, p. 265-272, 2019
  • Edge rings with 3-linear resolutions, Takayuki Hibi,Kazunori Matsuda,Akiyoshi Tsuchiya, Proc. Amer. Math. Soc., Vol. 147, p. 3225-3232, 2019
  • Extremal Betti numbers of edge ideals, Takayuki Hibi,Kyouko Kimura,Kazunor Matsuda, Arch. Math. (Basel), Vol. 113, p. 149-155, 2019
  • Order-chain polytopes, Takayuki Hibi,Nan Li,Teresa Xue,Shan Li,Li Li Mu,Akiyoshi Tsuchiya, Ars Math. Contemp., Vol. 16, p. 299-317, 2019
  • Induced matching numbers of finite graphs and edge ideals, Takayuki Hibi,Hiroju Kanno,Kazunori Matsuda, J. Algebra, Vol. 532, p. 311-322, 2019
  • The relevance of Freiman's theorem for combinatorial commutative algebra, Jürgen Herzog,Takayuki Hibi,Guangjun Zhu, Math. Z., Vol. 291, p. 999-1014, 2019
  • Lexsegment ideals and their h-polynomials, Takayuki Hibi,Kazunori Matsuda, Acta Math. Vietnam, Vol. 44, p. 83-86, 2019
  • Reflexive polytopes arising from partially ordered sets and perfect graphs, Takayuki Hibi,Akiyoshi Tsuchiya, J. Algebraic Combin., Vol. 49, p. 69-81, 2019
  • Ehrhart polynomials with negative coefficients, Takayuki Hibi,Akihiro Higashitani,Akiyoshi Tsuchiya,Koutarou Yoshida, Graphs Combin., Vol. 35, p. 363-371, 2019
  • Gorenstein properties and integer decomposition properties of lecture hall polytopes, Takayuki Hibi,McCabe Olsen,Akiyoshi Tsuchiya, Mosc. Math. J., Vol. 18, p. 667-679, 2018
  • Regularity and h-polynomials of monomial ideals, Takayuki Hibi,Kazunori Matsuda, Math. Nachr., Vol. 291, p. 2427-2434, 2018
  • Laplacian simplices associated to digraphs, Gabriele Balletti,Takayuki Hibi,Marie Meyer,Akiyoshi Tsuchiya, Ark. Mat., Vol. 56, p. 243-264, 2018
  • Existence of regular unimodular triangulations of dilated empty simplices, Takayuki Hibi,Akihiro Higashitani,Koutarou Yoshida, European J. Combin., Vol. 70, p. 374-383, 2018
  • Reflexive polytopes arising from perfect graphs, Takayuki Hibi,Akiyoshi Tsuchiya, J. Combin. Theory Ser. A, Vol. 157, p. 233-246, 2018
  • Isotonian algebras, Mina Bigdeli,Jürgen Herzog,Takayuki Hibi,Ayesha A. Qureshi,Akihiro Shikama, Nagoya Math. J., Vol. 230, p. 83-101, 2018
  • Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes, Hidefumi Ohsugi,Takayuki Hibi, J. Commut. Algebra, Vol. 10, p. 171-186, 2018
  • Ehrhart series of fractional stable set polytopes of finite graphs, Ginji Hamano,Takayuki Hibi,Hidefumi Ohsugi, Ann. Comb., Vol. 22, p. 563-573, 2018
  • Self Dual Reflexive Simplices with Eulerian Polynomials, Takayuki Hibi,McCabe Olsen,Akiyoshi Tsuchiya, Graphs and Combinatorics, SPRINGER JAPAN KK, Vol. 33, No. 6, p. 1401-1404, 2017/11
  • Quadratic Gröbner bases arising from partially ordered sets, Takayuki Hibi,Kazunori Matsuda,Akiyoshi Tsuchiya, Math. Scand., Vol. 121, p. 19-25, 2017
  • Markov bases of two-way change-point models of ladder determinantal tables, Satoshi Aoki,Takayuki Hibi, J. Algebr. Stat., Vol. 8, p. 56-73, 2017
  • The smallest normal edge polytopes with no regular unimodular triangulations, Ginji Hamano,Takuji Hayashi,Takayuki Hibi,Koichi Hirayama,Hidefumi Ohsugi,Kei Sato,Akihiro Shikama,Akiyoshi Tsuchiya, ``Homological and Computational Methods in Commutative Algebra,'' Springer INdAM Ser., Vol. 20, p. 163-172, 2017
  • Facets and volume of Gorenstein Fano polytopes, Takayuki Hibi,Akiyoshi Tsuchiya, Vol. 290, p. 2619-2628, 2017
  • The numbers of edges of the order polytope and the chain polytope of a finite partially ordered set, Takayuki Hibi,Nan Li,Yoshimi Sahara,Akihiro Shikama, Discrete Math., Vol. 340, p. 991-994, 2017
  • Flat $\delta$-vectors and their Ehrhart polynomials, Takayuki Hibi,Akiyoshi Tsuchiya, Vol. 108, p. 151-157, 2017
  • Pfaffian systems of A-hypergeometric equations I: bases of twisted cohomology groups, Takayuki Hibi,Kenta Nishiyama,Nobuki Takayama, Advances in Mathematics, Vol. 306, p. 303-327, 2017
  • A Gröbner basis characterization for chordal comparability graphs, Hidefumi Ohsugi,Takayuki Hibi, European J. Combin., Vol. 59, p. 122-128, 2017
  • Quadratic Grobner bases of twinned order polytopes, Takayuki Hibi,Kazunori Matsuda, EUROPEAN JOURNAL OF COMBINATORICS, ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD, Vol. 54, p. 187-192, 2016/05
  • Strongly Koszul edge rings, Takayuki Hibi,Kazunori Matsuda,Hidefumi Ohsugi, Acta Math. Vietnam, Vol. 41, p. 69-76, 2016
  • Stanley's influence on monomial ideals, Takayuki Hibi, ``The Mathematical Legacy of Richard P. Stanley'' (Patricia Hersh, Thomas Lam, Pavlo Pylyavskyy and Victor Reiner, Eds.), Amer. Math. Soc., Providence, RI, p. 203-217, 2016
  • Facets of the r-stable $(n,k)$-hypersimplex, Takayuki Hibi,Liam Solus, Ann. Comb., Vol. 20, p. 815-829, 2016
  • Integer decomposition property of free sums of convex polytopes, Takayuki Hibi,Akihito Higashitani, Ann. Comb., Vol. 20, p. 601-607, 2016
  • The number of edges of the edge polytope of a finite simple graph, Takayuki Hibi,Aki Mori,Hidefumi Ohsugi,Akihito Shikama, Ars Math. Contemp., Vol. 10, p. 323-332, 2016
  • Unimodular equivalence of order and chain polytopes, Takayuki Hibi,Nan Li, Math. Scand., Vol. 118, p. 5-12, 2016
  • Markov-chain Monte Carlo methods for the Box--Behnken designs and centrally symmetric configurations, Satoshi Aoki,Takayuki Hibi,Hidefumi Ohsugi, J. Stat. Theory Pract., Vol. 10, p. 59-72, 2016
  • Dominating induced matchings of finite graphs and regularity of edge ideals, Takayuki Hibi,Akihiro Higashitani,Kyouko Kimura,Akiyoshi Tsuchiya, J. Algebraic Combin., Vol. 43, p. 173-198, 2016
  • Bounding the socles of powers of squarefree monomial ideals, Jürgen Herzog,Takayuki Hibi, ``Commutative Algebra and Noncommutative Algebraic Geometry'', p. 223-229, 2015
  • Nonsimple polyominoes and prime ideals, Takayuki Hibi,Ayesha A. Qureshi, Illinois J. Math., Vol. 59, p. 391-398, 2015
  • Pick’s formula and generalized Ehrhart quasi-polynomials, Takayuki Hibi,Miyuki Nakamura,Ivana S,K. Natalia,Akiyoshi Tsuchiya, J. Indones. Math. Soc., Vol. 21, p. 71-75, 2015
  • Centrally symmetric configurations of order polytopes, Takayuki Hibi,Kazunori Matsuda,Hidefumi Ohsugi,Kazuki Shibata, J. Algebra, Vol. 443, p. 469-478, 2015
  • Linear flags and Koszul filtrations, Viviana Ene,J\"urgen Herzog,Takayuki Hibi, Kyoto J. Math., Vol. 55, p. 517-530, 2015
  • Chain polytopes and algebras with straightening laws, Takayuki Hibi,Nan Li, Acta Math. Vietnam, Vol. 40, p. 447-452, 2015
  • The face vector of a half-open hypersimplex, Takayuki Hibi,Nan Li,Hidefumi Ohsugi, J. Integer Seq., Vol. 18, 2015
  • Linearly related polyominoes, Viviana Ene,J\"urgen Herzog,Takayuki Hibi, J. Algebraic Combin., Vol. 41, p. 949-968, 2015
  • Simplicial complexes of whisker type, Mina Bigdeli,J\"urgen Herzog,Takayuki Hibi,Antonio Macchia, Electron. J. Combin., Vol. 22, 2015
  • Pseudo-Gorenstein and level Hibi rings, Viviana Ene,J\"urgen Herzog,Takayuki Hibi,Sara Saeedi Madani, J. Algebra, Vol. 431, p. 138-161, 2015
  • Polarization of Koszul cycles with applications to powers of edge ideals of whisker graphs, J\"urgen Herzog,Takayuki Hibi,Ayesha A. Qureshi, Proc. Amer. Math. Soc., Vol. 143, p. 2767-2778, 2015
  • Toric rings arising from cyclic polytopes, Takayuki Hibi,Akihiro Higashitani,Lukas Katth\"an,Ryota Okazaki, Comm. Algebra, Vol. 43, p. 778-794, 2015
  • Algebraic study on Cameron--Walker graphs, Takayuki Hibi,Akihiro Higashitani,Kyouko Kimura,Augustine B. OKeefe, J. Algebra, Vol. 422, p. 257-269, 2015
  • Koszul binomial edge ideals, Viviana Ene,Jürgen Herzog,Takayuki Hibi, ``Bridging Algebra, Geometry, and Topology'', p. 125-136, 2014
  • Centrally symmetric configurations of integer matrices, Hidefumi Ohsugi,Takayuki Hibi, Nagoya Math. J., Vol. 216, p. 153-170, 2014
  • Integer decomposition property of dilated polytopes, David A. Cox,Christian Haase,Takayuki Hibi,Akihiro Higashitani, Electron. J. Combin., Vol. 21, 2014
  • The binomial edge ideal of a pair of graphs, Viviana Ene,Jürgen Herzog,Takayuki Hibi,Ayesha Asloob Qureshi, Nagoya Math. J., Vol. 213, p. 105-125, 2014
  • Toric ideals of finite graphs and adjacent $2$-minors, Hidefumi Ohsugi,Takayuki Hibi, Math. Scand., Vol. 114, p. 185-190, 2014
  • Many toric ideals generated by quadratic binomials possess no quadratic Gröbner bases, Takayuki Hibi,Kenta Nishiyama,Hidefumi Ohsugi,Akihiro Shikama, J. Algebra, Vol. 408, p. 138-146, 2014
  • Edge rings satisfying Serre's condition $(R_1)$, Takayuki Hibi,Lukas Katth\"an, Proc. Amer. Math. Soc., Vol. 142, p. 2537-2541, 2014
  • Depth of initial ideals of normal edge rings, Takayuki Hibi,Akihiro Higashitani,Kyouko Kimura,Augustine B. O'Keefe, Comm. Algebra, Vol. 42, p. 2908-2922, 2014
  • Monomial ideals whose depth function has any given number of strict local maxima, Somayeh Bandari,Jürgen Herzog,Takayuki Hibi, Ark. Mat., Vol. 52, p. 11-19, 2014
  • Normal cyclic polytopes and cyclic polytopes that are not very ample, Takayuki Hibi,Akihiro Higashitani,Lukas Katth\"a,Ryota Okazaki, J. Aust. Math. Soc., Vol. 96, p. 61-77, 2014
  • Markov chain Monte Carlo methods for the regular two-level fractional factorial designs and cut ideals, Satoshi Aoki,Takayuki Hibi,Hidefumi Ohsugi, J. Statist. Plann. Inference, Vol. 143, p. 1791-1806, 2013
  • Determinantal facet ideals, Viviana Ene,J\"urgen Herzog,Takayuki Hibi,Fatemeh Mohammadi, Michigan Math. J., Vol. 62, p. 39-57, 2013
  • Separating hyperplanes of edge polytopes, Takayuki Hibi, Nan Li, Yan X. Zhang, J. Combin. Theory Ser. A, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 120, No. 1, p. 218-231, 2013/01
  • Toric ideals and their circuits, Hidefumi Ohsugi,Takayuki Hibi, J. Commut. Algebra, Vol. 5, p. 309-322, 2013
  • The join-meet ideal of a finite lattice, Viviana Ene,Takayuki Hibi, J. Commut. Algebra, Vol. 5, p. 209-230, 2013
  • Finite lattices and Gröbner bases, Jürgen Herzog,Takayuki Hibi, Mathematische Nachrichten, WILEY-V C H VERLAG GMBH, Vol. 285, No. 16, p. 1969-1973, 2012/11
  • Hermite normal forms and delta-vectors, Takayuki Hib, Akihiro Higashitani, Nan Li, J. Combin. Theory Ser. A, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 119, No. 6, p. 1158-1173, 2012/08
  • Ideals generated by adjacent 2-minors, J\"urgen Herzog,Takayuki Hibi, J. Commut. Algebra, Vol. 4, p. 525-549, 2012
  • Cohen--Macaulay binomial edge ideals, Viviana Ene, Jürgen Herzog, Takayuki Hibi, Nagoya Math. J., DUKE UNIV PRESS, Vol. 204, p. 57-68, 2011/12
  • Roots of Ehrhart polynomials arising from graphs, Tetsushi Matsui, Akihiro Higashitani, Yuuki Nagazawa, Hidefumi Ohsugi, Takayuki Hibi, J. Alg. Combin., SPRINGER, Vol. 34, No. 4, p. 721-749, 2011/12
  • Depth of edge rings arising from finite graphs, Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura, Augustine B. O'Keefe, Proc. Amer. Math. Soc., AMER MATHEMATICAL SOC, Vol. 139, No. 11, p. 3807-3813, 2011/11
  • Nilpotency of a finitely iterated polynomial map, Yu Kawano,Toshiyuki Ohtsuka,Takayuki Hibi, Int. J. Algebra, Vol. 5, p. 1475-1479, 2011
  • Powers of Componentwise Linear Ideals, Juergen Herzog,Takayuki Hibi,Hidefumi Ohsugi, COMBINATORIAL ASPECTS OF COMMUTATIVE ALGEBRA AND ALGEBRAIC GEOMETRY: THE ABEL SYMPOSIUM 2009, SPRINGER-VERLAG BERLIN, Vol. 6, p. 49-+, 2011
  • Roots of Ehrhart polynomials of Gorenstein Fano polytopes, Takayuki Hibi,Akihiro Higashitani,Hidefumi Ohsugi, Proc. Amer. Math. Soc., Vol. 139, p. 3727-3734, 2011
  • Smooth Fano polytopes arising from finite partially ordered sets, Takayuki Hibi,Akihiro Higashitani, Discrete Comput. Geom., Vol. 45, p. 449-461, 2011
  • Ehrhart polynomials of convex polytopes with small volumes, Takayuki Hibi,Akihiro Higashitani,Yuuki Nagazawa, European J. Combin., Vol. 32, p. 226-232, 2011
  • Binomial edge ideals and conditional independence statements, Jürgen Herzog, Takayuki Hibi, Freyja Hreinsdottir, Thomas Kahle, Johannes Rauh, Adv. Appl. Math., ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 45, No. 3, p. 317-333, 2010/09
  • Markov basis and Grobner basis of Segre-Veronese configuration for testing independence in group-wise selections, Satoshi Aoki,Takayuki Hibi,Hidefumi Ohsugi,Akimichi Takemura, ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, SPRINGER HEIDELBERG, Vol. 62, No. 2, p. 299-321, 2010/04
  • Betti numbers of chordal graphs and f -vectors of simplicial complexes, Takayuki Hibi,Kyouko Kimura,Satoshi Murai, J. Algebra, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 323, No. 6, p. 1678-1689, 2010/03
  • Toric rings and ideals of nested configurations, Hidefumi Ohsugi,Takayuki Hibi, J. Commut. Algebra, Vol. 2, p. 187-208, 2010
  • Non-very ample configurations arising from contingency tables, Hidefumi Ohsugi,Takayuki Hibi, Ann. Inst. Statist. Math., Vol. 62, p. 639-644, 2010
  • Vertex cover algebras of unimodular hypergraphs, J\"urgen Herzog,Takayuki Hibi,Ng\^o Vi\^et Trung, Proc. Amer. Math. Soc., Vol. 137, p. 409-414, 2009
  • Unmixed bipartite graphs and sublattices of the Boolean lattices, J\"urgen Herzog,Takayuki Hibi,Hidefumi Ohsugi, Journal of Algebraic Combinatorics, Vol. 30, p. 415-420, 2009
  • Two way subtable sum problems and quadratic Gröbner bases, Hidefumi Ohsugi,Takayuki Hibi, Proc. Amer. Math. Soc., Vol. 137, p. 1539-1542, 2009
  • Algebraic shifting and graded Betti numbers, Satoshi Murai,Takayuki Hibi, Trans. Amer. Math. Soc., Vol. 361, p. 1853-1865, 2009
  • Componentwise linear ideals with minimal or maximal Betti numbers, J\"urgen Herzog,Takayuki Hibi,Satoshi Murai,Yukihide Takayama, Ark. Mat., Vol. 46, p. 69-75, 2008
  • The depth of an ideal with a given Hilbert function, Satoshi Murai,Takayuki Hibi, Proc. Amer. Math. Soc., Vol. 136, p. 1533-1538, 2008
  • Gröbner bases of nested configurations, Satoshi Aoki,Takayuki Hibi,Hidefumi Ohsugi,Akimichi Takemura, Journal of Algebra, Vol. 320, p. 2583-2593, 2008
  • Gotzmann ideals of the polynomial ring, Satoshi Murai,Takayuki Hibi, Math. Z., Vol. 260, p. 629-646, 2008
  • Kruskal--Katona type theorems for clique complexes arising from chordal and strongly chordal graphs, J\"urgen Herzog,Takayuki Hibi,Satoshi Murai,Ng\^o Vi\^et Trung,Xinxian Zheng, Combinatorica, Vol. 28, p. 315-323, 2008
  • Standard graded vertex cover algebras, cycles and leaves, J\"urgen Herzog,Takayuki Hibi,Ng\^o Vi\^et Trung,Xinxian Zheng, Trans. Amer. Math. Soc, Vol. 360, p. 6231-6249, 2008
  • Linear balls and the multiplicity conjecture, Takayuki Hibi,Pooja Singla, Journal of Algebra, Vol. 319, p. 4372-4390, 2008
  • Quadratic Gröbner bases arising from combinatorics, Hidefumi Ohsugi,Takayuki Hibi, ``Integer Points in Polyhedra --- Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics'' (A. Barvinok, M. Beck, C. Haase, B. Reznick and V. Welker, Eds.), Contemp. Math., Vol. 452, p. 123-138, 2008
  • Maximal Betti numbers of Cohen-Macaulay complexes with a given f-vector, Satoshi Murai,Takayuki Hibi, ARCHIV DER MATHEMATIK, BIRKHAUSER VERLAG AG, Vol. 88, No. 6, p. 507-512, 2007/06
  • Symbolic powers of monomial ideals and vertex cover algebras, Juergen Herzog,Takayuki Hibi,Ngo Viet Trung, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 210, No. 1, p. 304-322, 2007/03
  • Toric ideals arising from contingency tables, Hidefumi Ohsugi,Takayuki Hibi, ``Commutative Algebra and Combinatorics'' (W. Bruns, Ed), Ramanujan Math. Soc. Lect. Notes Ser., Vol. 4, p. 91-115, 2007
  • Gröbner basis techniques in algebraic combinatorics, Takayuki Hibi, S\'eminaire Lotharingien de Combinatoire, Issue 59, 2007
  • Weakly polymatroidal ideals, Masako Kokubo,Takayuki Hibi, ALGEBRA COLLOQUIUM, WORLD SCIENTIFIC PUBL CO PTE LTD, Vol. 13, No. 4, p. 711-720, 2006/12
  • Cohen-Macaulay chordal graphs, J Herzog,T Hibi,Zheng, X, JOURNAL OF COMBINATORIAL THEORY SERIES A, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 113, No. 5, p. 911-916, 2006/07
  • Special simplices and Gorenstein toric rings, H Ohsugi,T Hibi, JOURNAL OF COMBINATORIAL THEORY SERIES A, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 113, No. 4, p. 718-725, 2006/05
  • Cohen-Macaulay polyrnatroidal ideals, J Herzog,T Hibi, EUROPEAN JOURNAL OF COMBINATORICS, ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD, Vol. 27, No. 4, p. 513-517, 2006/05
  • Level rings arising from meet-distributive meet-semilattices, J Herzog,T Hibi, NAGOYA MATHEMATICAL JOURNAL, DUKE UNIV PRESS, Vol. 181, p. 29-39, 2006/03
  • Gin and Lex of certain monomial ideals, Satoshi Murai,Takayuki Hibi, MATHEMATICA SCANDINAVICA, MATEMATISK INST, Vol. 99, No. 1, p. 76-86, 2006
  • The monomial ideal of a finite meet-semilattice, J Herzog,T Hibi,XX Zheng, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, AMER MATHEMATICAL SOC, Vol. 358, No. 9, p. 4119-4134, 2006
  • Ideals of fiber type and polymatroids, J Herzog,T Hibi,M Vladoiu, OSAKA JOURNAL OF MATHEMATICS, OSAKA JOURNAL OF MATHEMATICS, Vol. 42, No. 4, p. 807-829, 2005/12
  • Distributive lattices, bipartite graphs and Alexander duality, J Herzog,T Hibi, JOURNAL OF ALGEBRAIC COMBINATORICS, SPRINGER, Vol. 22, No. 3, p. 289-302, 2005/11
  • The depth of powers of an ideal, J Herzog,T Hibi, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 291, No. 2, p. 534-550, 2005/09
  • INDISPENSABLE BINOMIALS OF FINITE GRAPHS, Hidefumi Ohsugi,Takayuki Hibi, JOURNAL OF ALGEBRA AND ITS APPLICATIONS, WORLD SCIENTIFIC PUBL CO PTE LTD, Vol. 4, No. 4, p. 421-434, 2005/08
  • Prestable ideals and Sagbi bases, H Ohsugi,T Hibi, MATHEMATICA SCANDINAVICA, MATEMATISK INSTITUT, Vol. 96, No. 1, p. 22-30, 2005
  • The $h$-vector of a Gorenstein toric ring of a compressed polytope, Hidefumi Ohsugi,Takayuki Hibi, Electron. J. Combin., Vol. 11, 2005
  • Dirac's theorem on chordal graphs and Alexander duality, E Herzog,T Hibi,XX Zheng, EUROPEAN JOURNAL OF COMBINATORICS, ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD, Vol. 25, No. 7, p. 949-960, 2004/10
  • Monomial ideals whose powers have a linear resolution, J Herzog,T Hibi,XX Zheng, MATHEMATICA SCANDINAVICA, MATEMATISK INSTITUT, Vol. 95, No. 1, p. 23-32, 2004
  • Rigid resolutions and big Betti numbers, A Conca,J Herzog,T Hibi, COMMENTARII MATHEMATICI HELVETICI, BIRKHAUSER VERLAG AG, Vol. 79, No. 4, p. 826-839, 2004
  • Castelnuovo--Mumford regularity and initial ideals with no embedded prime ideal, Naoki Terai,Hidefumi Ohsugi,Takayuki Hibi, Acta Math. Vietnam, Vol. 29, p. 135-139, 2004
  • Grobner bases of certain zero-dimensional ideals arising in coding theory, H Ohsugi,D Ikegami,T Kitamura,T Hibi, ADVANCES IN APPLIED MATHEMATICS, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 31, No. 2, p. 420-432, 2003/08
  • Normalized volumes of configurations related with root systems and complete bipartite graphs, H Ohsugi,T Hibi, DISCRETE MATHEMATICS, ELSEVIER SCIENCE BV, Vol. 268, No. 1-3, p. 217-242, 2003/07
  • Universal Grobner bases, integer programming and finite graphs, H Ohsugi,T Kitamura,T Hibi, COMMUTATIVE ALGEBRA, SINGULARITIES AND COMPUTER ALGEBRA, SPRINGER, Vol. 115, p. 179-190, 2003
  • Castelnuovo-Mumford regularity of simplicial semigroup rings with isolated singularity, J Herzog,T Hibi, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, AMER MATHEMATICAL SOC, Vol. 131, No. 9, p. 2641-2647, 2003
  • Shellability of semigroup rings, A Aramova,J Herzog,T Hibi, NAGOYA MATHEMATICAL JOURNAL, NAGOYA UNIV, Vol. 168, p. 65-84, 2002/12
  • Discrete polymatroids, J Herzog,T Hibi, JOURNAL OF ALGEBRAIC COMBINATORICS, KLUWER ACADEMIC PUBL, Vol. 16, No. 3, p. 239-268, 2002/11
  • Hamiltonian tournaments and Gorenstein rings, H Ohsugi,T Hibi, EUROPEAN JOURNAL OF COMBINATORICS, ACADEMIC PRESS LTD ELSEVIER SCIENCE LTD, Vol. 23, No. 4, p. 463-470, 2002/05
  • Resolutions of ${\bf a}$-stable ideals, Vesselin Gasharov,Takayuki Hibi,Irena Peeva, J. Algebra, Vol. 254, No. 2, p. 375-394, 2002
  • Quadratic initial ideals of root systems, H Ohsugi,T Hibi, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, AMER MATHEMATICAL SOC, Vol. 130, No. 7, p. 1913-1922, 2002
  • Convex polytopes all of whose reverse lexicographic initial ideals are squarefree, Hidefumi Ohsugi,Takayuki Hibi, Proc. Amer. Math. Soc., Vol. 129, p. 2541-2546, 2001
  • Unimodular triangulations and coverings of configrations arising from root systems, Hidefumi Ohsugi,Takayuki Hibi, J. Algebraic Combin., Vol. 14, p. 199-219, 2001
  • Combinatorial pure subrings, H Ohsugi,J Herzog,T Hibi, OSAKA JOURNAL OF MATHEMATICS, OSAKA JOURNAL OF MATHEMATICS, Vol. 37, No. 3, p. 745-757, 2000/09
  • Ideals with stable Betti numbers, A Aramova,J Herzog,T Hibi, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC, Vol. 152, No. 1, p. 72-77, 2000/06
  • Finite lattices and lexicographic Grobner bases, A Aramova,J Herzog,T Hibi, EUROPEAN JOURNAL OF COMBINATORICS, ACADEMIC PRESS LTD, Vol. 21, No. 4, p. 431-439, 2000/05
  • Hilbert functions of squarefree Veronese subrings, Takayuki Hibi,Hiroyuki Nishida,Hidefumi Ohsugi, ``Geometry and Combinatorial Aspects of Commutative Algebra'' (J. Herzog and G. Restuccia, Eds.), Lecture Notes in Pure and Applied Mathematics, Dekker, New York, Vol. 217, p. 289-299, 2000
  • Enumeration in modern mathematics, Takayuki Hibi, Sugaku Expositions, Vol. 13, p. 1-15, 2000
  • Shifting operations and graded Betti numbers, Annetta Aramova,J\"urgen Herzog,Takayuki Hibi, Journal of Algebraic Combinatorics, Vol. 12, No. 2, p. 207-222, 2000
  • Compressed Polytopes, initial ideals and complete multipartite graphs, Hidefumi Ohsugi,Takayuki Hibi, Illinois J.Math., Vol. 44, p. 391-406, 2000
  • Strongly Koszul algebras, J Herzog,T Hibi,G Restuccia, MATHEMATICA SCANDINAVICA, MATEMATISK INSTITUT, Vol. 86, No. 2, p. 161-178, 2000
  • Toric ideals generated by quadratic binomials, H Ohsugi,T Hibi, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC, Vol. 218, No. 2, p. 509-527, 1999/08
  • A normal (0,1)-polytope none of whose regular triangulations is unimodular, H Ohsugi,T Hibi, DISCRETE & COMPUTATIONAL GEOMETRY, SPRINGER VERLAG, Vol. 21, No. 2, p. 201-204, 1999/03
  • Componentwise linear ideals, J Herzog,T Hibi, NAGOYA MATHEMATICAL JOURNAL, NAGOYA UNIV, Vol. 153, p. 141-153, 1999/03
  • Steinitz'theorem analogue for $2$-dimensional Cohen--Macaulay complexes, Takayuki Hibi,Yukihide Takayama, Advances in Applied Math., Vol. 22, p. 200-218, 1999
  • Koszul bipartite graphs, H Ohsugi,T Hibi, ADVANCES IN APPLIED MATHEMATICS, ACADEMIC PRESS INC, Vol. 22, No. 1, p. 25-28, 1999/01
  • Cohen-Macaulay partially ordered sets with pure resolutions, W Bruns,T Hibi, EUROPEAN JOURNAL OF COMBINATORICS, ACADEMIC PRESS LTD, Vol. 19, No. 7, p. 779-785, 1998/10
  • Normal polytopes arising from finite graphs, H Ohsugi,T Hibi, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC, Vol. 207, No. 2, p. 409-426, 1998/09
  • Squarefree lexsegment ideals, A Aramova,J Herzog,T Hibi, MATHEMATISCHE ZEITSCHRIFT, SPRINGER VERLAG, Vol. 228, No. 2, p. 353-378, 1998/06
  • The comparability graph of a modular lattice, T Hibi, COMBINATORICA, JANOS BOLYAI MATHEMATICAL SOC, Vol. 18, No. 4, p. 541-548, 1998
  • Weakly stable ideals, A Aramova,J Herzog,T Hibi, OSAKA JOURNAL OF MATHEMATICS, OSAKA JOURNAL OF MATHEMATICS, Vol. 34, No. 4, p. 745-755, 1997/12
  • Gorenstein algebras of Veronese type, E De Negri,T Hibi, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC ELSEVIER SCIENCE, Vol. 193, No. 2, p. 629-639, 1997/07
  • Upper bounds for the number of facets of a simplicial complex, J Herzog,T Hibi, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, AMER MATHEMATICAL SOC, Vol. 125, No. 6, p. 1579-1583, 1997/06
  • Gotzmann theorems for exterior algebras and combinatorics, A Aramova,J Herzog,T Hibi, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 191, No. 1, p. 174-211, 1997/05
  • Computation of Betti numbers of monomial ideals associated with stacked polytopes, N Terai,T Hibi, MANUSCRIPTA MATHEMATICA, SPRINGER VERLAG, Vol. 92, No. 4, p. 447-453, 1997/04
  • Finite free resolutions and 1-skeletons of simplicial complexes, N Terai,T Hibi, JOURNAL OF ALGEBRAIC COMBINATORICS, KLUWER ACADEMIC PUBL, Vol. 6, No. 1, p. 89-93, 1997/01
  • Alexander duality theorem and second Betti numbers of Stanley-Reisner rings, N Terai,T Hibi, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 124, No. 2, p. 332-333, 1996/12
  • Some results on Betti numbers of Stanley-Reisner rings, N Terai,T Hibi, DISCRETE MATHEMATICS, ELSEVIER SCIENCE BV, Vol. 157, No. 1-3, p. 311-320, 1996/10
  • Computation of Betti numbers of monomial ideals associated with cyclic polytopes, N Terai,T Hibi, DISCRETE & COMPUTATIONAL GEOMETRY, SPRINGER VERLAG, Vol. 15, No. 3, p. 287-295, 1996/04
  • Buchsbaum complexes with linear resolutions, T Hibi, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 179, No. 1, p. 127-136, 1996/01
  • A Q-ANALOG OF CAPELLIS IDENTITY FOR GL(2), T HIBI,M WAKAYAMA, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 115, No. 1, p. 49-53, 1995/09
  • STAR-SHAPED COMPLEXES AND EHRHART POLYNOMIALS, T HIBI, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, AMER MATHEMATICAL SOC, Vol. 123, No. 3, p. 723-726, 1995/03
  • Combinatorics on simplicial complexes and convex polytopes, Takayuki Hibi, Sugaku Expositions, Vol. 8, p. 145-163, 1995
  • STANLEY-REISNER RINGS WITH PURE RESOLUTIONS, W BRUNS,T HIBI, COMMUNICATIONS IN ALGEBRA, MARCEL DEKKER INC, Vol. 23, No. 4, p. 1201-1217, 1995
  • COHEN-MACAULAY TYPES OF COHEN-MACAULAY COMPLEXES, T HIBI, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 168, No. 3, p. 780-797, 1994/09
  • CANONICAL MODULES AND COHEN-MACAULAY TYPES OF PARTIALLY ORDERED SETS, T HIBI, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 106, No. 1, p. 118-121, 1994/06
  • A LOWER-BOUND THEOREM FOR EHRHART POLYNOMIALS OF CONVEX POLYTOPES, T HIBI, ADVANCES IN MATHEMATICS, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 105, No. 2, p. 162-165, 1994/05
  • Toric varieties arising from canonical triangulations of poset polytopes are projective, Takayuki Hibi, ``Words, Languages and Combinatorics II'' (M. Ito and H. Jurgensen, Eds.), World Scientific, Singapore, p. 192-199, 1994
  • COHEN-MACAULAY TYPE OF THE FACE POSET OF A PLANE GRAPH, T HIBI, GRAPHS AND COMBINATORICS, SPRINGER VERLAG, Vol. 10, No. 2, p. 133-138, 1994
  • DIVISOR CLASS-GROUPS OF AFFINE SEMIGROUP RINGS ASSOCIATED WITH DISTRIBUTIVE LATTICES, M HASHIMOTO,T HIBI,A NOMA, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 149, No. 2, p. 352-357, 1992/07
  • STANLEY PROBLEM ON (P, OMEGA)-PARTITIONS, T HIBI, WORDS, LANGUAGES AND COMBINATORICS, WORLD SCIENTIFIC PUBL CO PTE LTD, p. 187-201, 1992
  • Face number inequalities of matroid complexes and Cohen--Macaulay types of Stanley--Reisner rings of finite distributive lattices, Takayuki Hibi, Pacific J. Math, Vol. 154, p. 253-264, 1992
  • DUAL POLYTOPES OF RATIONAL CONVEX POLYTOPES, T HIBI, COMBINATORICA, AKADEMIAI KIADO, Vol. 12, No. 2, p. 237-240, 1992
  • Ehrhart polynomials of convex polytopes, h-vectors of simplicial complexes and non-singular projective toric varieties, Takayuki Hibi, “Polytopes and Convex Sets”(J. E. Goodman, et al., Eds.), DIMACS Series in Discrete Mathematics and Theoretical Cmputer Science, Vol. 6, p. 165-177, 1991
  • Quotient algebras of Stanley--Reisner rings and local cohomology, Takayuki Hibi, J. Algebra, Vol. 140, p. 336-343, 1991
  • Hilbert functions of Cohen--Macaulay integral domains and chain conditions of finite partially ordered sets, Takayuki Hibi, J. Pure and Appl. Algebra, Vol. 72, p. 265-273, 1991
  • Linear and non-linear inequalities concerning a certain combinatorial sequence which arises from counting the number of chains of a finite distributive lattice, Takayuki Hibi, Discrete Appl. Math., Vol. 34, p. 145-150, 1991
  • SOME RESULTS ON EHRHART POLYNOMIALS OF CONVEX POLYTOPES, T HIBI, DISCRETE MATHEMATICS, ELSEVIER SCIENCE BV, Vol. 83, No. 1, p. 119-121, 1990/07
  • A NUMERICAL CHARACTERIZATION OF GORENSTEIN COMPLEXES, T HIBI, EUROPEAN JOURNAL OF COMBINATORICS, ACADEMIC PRESS LTD, Vol. 11, No. 2, p. 127-131, 1990/03
  • Betti numbers of Bcuhsbaum complexes, Anders Bjorner,Takayuki Hibi, Math. Scand., Vol. 67, p. 193-196, 1990
  • PLANE GRAPHS AND COHEN-MACAULAY POSETS, T HIBI, EUROPEAN JOURNAL OF COMBINATORICS, ACADEMIC PRESS LTD, Vol. 10, No. 6, p. 537-542, 1989/11
  • FLAWLESS O-SEQUENCES AND HILBERT-FUNCTIONS OF COHEN-MACAULAY INTEGRAL-DOMAINS, T HIBI, JOURNAL OF PURE AND APPLIED ALGEBRA, ELSEVIER SCIENCE BV, Vol. 60, No. 3, p. 245-251, 1989/10
  • WHAT CAN BE SAID ABOUT PURE O-SEQUENCES, T HIBI, JOURNAL OF COMBINATORIAL THEORY SERIES A, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 50, No. 2, p. 319-322, 1989/03
  • ``q-analogue'' の世界, 日比 孝之, 数学, Vol. 41, p. 269-274, 1989
  • A RECURRENCE FOR LINEAR EXTENSIONS, P EDELMAN,T HIBI,RP STANLEY, ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, KLUWER ACADEMIC PUBL, Vol. 6, No. 1, p. 15-18, 1989
  • A GRAPH-THEORETICAL CHARACTERIZATION OF THE ORDER COMPLEXES ON THE 2-SPHERE, T HIBI,H NARUSHIMA,M TSUCHIYA,K WATANABE, DISCRETE MATHEMATICS, ELSEVIER SCIENCE BV, Vol. 72, No. 1-3, p. 167-174, 1988/12
  • CANONICAL IDEALS OF COHEN-MACAULAY PARTIALLY ORDERED SETS, T HIBI, NAGOYA MATHEMATICAL JOURNAL, DUKE UNIV PRESS, Vol. 112, p. 1-24, 1988/12
  • LEVEL RINGS AND ALGEBRAS WITH STRAIGHTENING LAWS, T HIBI, JOURNAL OF ALGEBRA, ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, Vol. 117, No. 2, p. 343-362, 1988/09
  • LINEAR EXTENSIONS AND ORDER POLYNOMIALS OF FINITE PARTIALLY ORDERED SETS, T HIBI, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, JAPAN ACAD, Vol. 64, No. 4, p. 121-122, 1988/04
  • Study of three-dimensional algebras with straightening laws which are Gorenstein domains Ⅲ, Takayuki Hibi, Hiroshima Math. J., Vol. 18, p. 299-308, 1988
  • UNION AND GLUING OF A FAMILY OF COHEN-MACAULAY PARTIALLY ORDERED SETS, T HIBI, NAGOYA MATHEMATICAL JOURNAL, NAGOYA UNIV, Vol. 107, p. 91-119, 1987/09
  • FOR WHICH FINITE GROUPS-G IS THE LATTICE L(G) OF SUBGROUPS GORENSTEIN, T HIBI, NAGOYA MATHEMATICAL JOURNAL, NAGOYA UNIV, Vol. 105, p. 147-151, 1987/03
  • Distributive lattices, affine semigroup rings and algebras with straightening laws, Takayuki Hibi, ``Commutative Algebra and Combinatorics'' (M. Nagata and H. Matsumura, Eds.), Advanced Studies in Pure Math., Vol. 11, p. 93-109, 1987
  • CLASSIFICATION OF INTEGRAL TREES, T HIBI, ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, KLUWER ACADEMIC PUBL, Vol. 3, No. 4, p. 383-389, 1987
  • Every affine graded ring has a Hodge algebra structure, Takayuki Hibi, Rend. Sem. Mat. Univers. Politecn. Torino, Vol. 44, p. 277-286, 1986
  • Study of three-dimensional algebras with straightening laws which are Gorenstein domains II, Takayuki Hibi,Kei-ichi Watanabe, Hiroshima Math. J., Vol. 15, p. 321-340, 1985
  • Study of three-dimensional algebras with straightening laws which are Gorenstein domains I, Takayuki Hibi,Kei-ichi Watanabe, Hiroshima Math. J., Vol. 15, p. 27-54, 1985

Publications

  • Polygon and Polytope, Takayuki Hibi, 講談社 ブルーバックス B2153, 2020/10/22
  • Algebraic and Geometric Combinatorics on Lattice Polytopes, Takayuki Hibi,Akiyoshi Tsuchiya,Editors, World Scientific, 2019
  • The 50th Anniversary of Gröbner Bases, Takayuki Hibi,Editor, ASPM Vol. 77, Mathematical Society of Japan, 2018
  • Binomial Ideals, J\"urgen Herzog,Takayuki Hibi,Hidefumi Ohsugi, GTM 279, Springer, 2018
  • 証明の探究(増補版), 日比孝之, 大阪大学出版会, 2016
  • コミック 証明の探究 高校編!, 日比孝之,門田英子, 大阪大学出版会, 2014
  • Gröbner Bases : Statistics and Software Systems, Takayuki Hibi,Editor, Springer, 2014
  • Harmony of Göbner Bases and the Modern Industrial Society, Takayuki Hibi,Editor, World Scientific, 2012
  • Monomial Ideals, Jürgen Herzog,Takayuki Hibi, GTM 260, Springer, 2011
  • グレブナー道場, JST CREST 日比チーム(編), 共立出版, 2011
  • Affine Algebraic Geometry, Takayuki Hibi,Editor, Osaka University Press, 2007
  • グレブナー基底の現在, 日比孝之, 2006
  • グレブナー基底, 日比孝之, 朝倉書店, 2003
  • Computational Commutative Algebra and Combinatorics, Takayuki Hibi,Editor, ASPM Vol. 33, Mathematical Society of Japan, 2002
  • (翻訳)グレブナー基底1, 2 ---可換代数と代数幾何におけるグレブナー基底の有効性---, 大杉英史,北村知徳,日比孝之, シュプリンガー・フェアラーク東京, 2000
  • 数え上げ数学, 日比孝之, 朝倉書店, 1997
  • 可換代数と組合せ論, 日比孝之, シュプリンガー・フェアラーク東京, 1995
  • Algebraic Combinatorics on Convex Polytopes, Takayuki Hibi, Carslaw Publications, Glebe, N.S.W., Australia, 1992

Awards

  • 代数学賞, 日比 孝之, 日本数学会, 2018
  • 科学研究費助成事業 審査委員の表彰, 日比孝之, 日本学術振興会, 2017
  • 総長顕彰, 日比孝之, 大阪大学, 2015
  • 総長顕彰, 日比孝之, 大阪大学, 2013

Presentations

  • Size of Betti Tables of Edge Ideals, Takayuki Hibi, 17th Seminar on Commutative Algebra and Related Topics, Institute for Research in Fundamental Sciences, Tehran, Iran, 2021/01/08
  • Reflexive Polytopes and Gröbner Bases, Takayuki Hibi, 2019/10/23
  • グレブナー基底と医薬統計, 日比孝之, 第46回構造活性相関シンポジウム, 2018/12/05
  • Extremal Betti numbers of edge ideals, Takayuki Hibi, Commutative Algebra and Representation Theory, Tulane University, USA, 2018/11/10
  • The depth of a reflexive polytope, Takayuki Hibi, Combinatorial Structures in Algebra and Geometry, Constanța, Romania, 2018/08/29
  • Regularity and h-polynomials of monomial ideals, Takayuki Hibi, New Trends in Syzygies, BIRS, Banff, Canada, 2018/06/28
  • 単項式イデアルと二項式イデアル, 日比孝之, 日本数学会年会(代数学分科会), 2018/03/20
  • Binomial ideals arising from combinatorics, Takayuki Hibi, 40th Autumn School in Algebraic Geometry, Łukęcin, Poland, 2017/09
  • 凸多面体と可換代数と統計の奏でる三重奏を聴く, 日比孝之, 日本数学会年会(応用数学分科会), 2017/03/26
  • A Gröbner basis characterization for chordal comparability graphs, Takayuki Hibi, Homological and Computational Methods in Commutative Algebra, Cortona, Italy, 2016/06/03
  • 凸多面体の不易流行, 日比孝之, 日本数学会年会(市民講演会), 2016/03/19
  • Gorenstein Fano polytopes and quadratic Gröbner bases, Takayuki Hibi, Combinatorial and Experimental Methods in Commutative Algebra and Related Fields, Osnabrück, Germany, 2015/10/08
  • Regularity of edge ideals and dominating induced matchings, Takayuki Hibi, Minimal Free Resolutions, Betti Numbers and Combinatorics, International Centre for Mathematical Sciences, Scotland, 2015/06/04
  • Stanley's influence on monomial ideals, Takayuki Hibi, A conference in honor of Richard P. Stanley’s 70th birthday, MIT, USA, 2014/06/25
  • Cameron--Walker graphs, Takayuki Hibi, International conference on Commutative Algebra and its Interaction to Algebraic Geometry and Combinatorics, Hanoi, Vietnam, 2013/12/16
  • 統計学とグレブナー基底, 日比孝之, 第 57 回 代数学シンポジウム, 2012/08/20
  • An introduction to holonomic gradient descent, Takayuki Hibi, Algebraic Statistics in the Alleghenies, Pennsylvania State University, USA, 2012/06/14
  • Roots of Ehrhart polynomials of Gorenstein Fano polytopes, Takayuki Hibi, Commutative Algebra and its Interactions with Algebraic Geometry, CIRM, France, 2010/11/05
  • グレブナー基底の50年, 日比孝之, 日本応用数理学会年会(総合講演), 2009/09/30
  • Combinatorial techniques in commutative algebra, Takayuki Hibi, Summer School on Computer Algebra and Syzygies, Sophus Lie Conference Center, Norway, 2009/06
  • グレブナー基底の現在, 日比孝之, 日本数学会年会(企画特別講演), 2007/03/27
  • Alexander Duality in Combinatorics, Takayuki Hibi, Formal Power Series and Algebraic Combinatorics, Vancouver, Canada, 2004/07/02
  • ‘数え上げ’の昔と現在---壱(ひとつ)弐(ふたつ)参(みっつ)---, 日比孝之, 日本数学会年会(市民講演会), 1994/04/03
  • 単体的複体と凸多面体の組合せ論, 日比孝之, 日本数学会年会(代数学分科会), 1992/04/01

Committee Memberships

  • Journal of Pure and Applied Algebra, 編集委員, 1992 - Present

Other

  • 科研費(基盤研究(S))国際会議, 2017 - 2017
  • 京都大学数理解析研究所プロジェクト研究, 2016 - 2016
  • 日本数学会季期研究所, 2015 - 2015
  • 京都大学数理解析研究所研究集会(公開型), 2012 - 2012
  • JST CREST 国際研究集会, 2010 - 2010
  • 京都大学数理解析研究所プロジェクト研究, 2006 - 2006
  • 日本数学会国際研究集会, 1999 - 1999