Concurrent Post

Faculty of Education and Integrated Arts and Sciences Graduate School of Education
Details of a Researcher
Updated on 2022/05/25
Faculty of Education and Integrated Arts and Sciences Graduate School of Education
Waseda University Faculty of Education and Integrated Arts and Sciences
Waseda University Faculty of Education and Integrated Arts and Sciences
Osaka University Graduate School of Information Science and Technology
Yamaguchi University of Science and Engineering, Graduate School
Yamaguchi University of Science and Engineering, Graduate School
THE MATHEMATICAL SOCIETY OF JAPAN
Applied mathematics and statistics
Algebra
Basic mathematics
Combinatorial Topology
Commutative Algebra
Algebraic Combinatorics
Betti numbers of symmetric shifted ideals
Jennifer Biermann, Hernán de Alba, Federico Galetto, Satoshi Murai, Uwe Nagel, Augustine O'Keefe, Tim Römer, Alexandra Seceleanu
Journal of Algebra 560 312  342 2020.10 [Refereed]
Hessenberg varieties and hyperplane arrangements
Takuro Abe, Tatsuya Horiguchi, Mikiya Masuda, Satoshi Murai, Takashi Sato
Journal für die reine und angewandte Mathematik (Crelles Journal) 2020 ( 764 ) 241  286 2020.07 [Refereed]
Solomon–Terao algebra of hyperplane arrangements
Takuro ABE, Toshiaki MAENO, Satoshi MURAI, Yasuhide NUMATA
Journal of the Mathematical Society of Japan 71 ( 4 ) 1027  1047 2019.10 [Refereed]
Local hVectors of QuasiGeometric and Barycentric Subdivisions
JuhnkeKubitzke Martina, Murai Satoshi, Sieg Richard
DISCRETE & COMPUTATIONAL GEOMETRY 61 ( 2 ) 364  379 2019.03 [Refereed]
The Numbers of Edges of 5Polytopes with a Given Number of Vertices
Kusunoki Takuya, Murai Satoshi
ANNALS OF COMBINATORICS 23 ( 1 ) 89  101 2019.03 [Refereed]
A generalized lower bound theorem for balanced manifolds
JuhnkeKubitzke Martina, Murai Satoshi, Novik Isabella, Sawaske Connor
MATHEMATISCHE ZEITSCHRIFT 289 ( 34 ) 921  942 2018.08 [Refereed]
Balanced generalized lower bound inequality for simplicial polytopes
Martina JuhnkeKubitzke, Satoshi Murai
Selecta Mathematica, New Series 24 ( 2 ) 1677  1689 2018.04 [Refereed]
Balanced subdivisions and flips on surfaces
Satoshi Murai, Yusuke Suzuki
Proceedings of the American Mathematical Society 146 ( 3 ) 939  951 2018 [Refereed]
LEFSCHETZ PROPERTIES OF BALANCED 3POLYTOPES
Cook David II, JuhnkeKubitzke Martina, Murai Satoshi, Nevo Eran
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 48 ( 3 ) 769  790 2018 [Refereed]
On stacked triangulated manifolds
Basudeb Datta, Satoshi Murai
ELECTRONIC JOURNAL OF COMBINATORICS 24 ( 4 ) 2017.10 [Refereed]
Face numbers and the fundamental group
Satoshi Murai, Isabella Novik
ISRAEL JOURNAL OF MATHEMATICS 222 ( 1 ) 297  315 2017.10 [Refereed]
Face Numbers of Manifolds with Boundary
Satoshi Murai, Isabella Novik
INTERNATIONAL MATHEMATICS RESEARCH NOTICES ( 12 ) 3603  3646 2017.06 [Refereed]
A duality in Buchsbaum rings and triangulated manifolds
Satoshi Murai, Isabella Novik, Kenichi Yoshida
ALGEBRA & NUMBER THEORY 11 ( 3 ) 635  656 2017 [Refereed]
Uniformly CohenMacaulay simplicial complexes and almost Gorenstein* simplicial complexes
Naoyuki Matsuoka, Satoshi Murai
JOURNAL OF ALGEBRA 455 14  31 2016.06 [Refereed]
ON HILBERT FUNCTIONS OF GENERAL INTERSECTIONS OF IDEALS
Giulio Caviglia, Satoshi Murai
NAGOYA MATHEMATICAL JOURNAL 222 ( 1 ) 61  73 2016.06 [Refereed]
Tight combinatorial manifolds and graded Betti numbers
Satoshi Murai
COLLECTANEA MATHEMATICA 66 ( 3 ) 367  386 2015.09 [Refereed]
REGULARITY BOUNDS FOR KOSZUL CYCLES
Aldo Conca, Satoshi Murai
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 143 ( 2 ) 493  503 2015.02 [Refereed]
Invariance of Pontrjagin classes for Bott manifolds
Suyoung Choi, Mikiya Masuda, Satoshi Murai
ALGEBRAIC AND GEOMETRIC TOPOLOGY 15 ( 2 ) 965  986 2015 [Refereed]
Squarefree Pmodules and the cdindex
Satoshi Murai, Kohji Yanagawa
ADVANCES IN MATHEMATICS 265 241  279 2014.11 [Refereed]
THE FLAG fVECTORS OF GORENSTEIN* ORDER COMPLEXES OF DIMENSION 3
Satoshi Murai, Eran Nevo
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 142 ( 5 ) 1527  1538 2014.05 [Refereed]
On rstacked triangulated manifolds
Satoshi Murai, Eran Nevo
JOURNAL OF ALGEBRAIC COMBINATORICS 39 ( 2 ) 373  388 2014.03 [Refereed]
On ideals with the Rees property
Juan Migliore, Rosa M. MiroRoig, Satoshi Murai, Uwe Nagel, Junzo Watanabe
ARCHIV DER MATHEMATIK 101 ( 5 ) 445  454 2013.11 [Refereed]
FACE VECTORS OF SIMPLICIAL CELL DECOMPOSITIONS OF MANIFOLDS
Satoshi Murai
ISRAEL JOURNAL OF MATHEMATICS 195 ( 1 ) 187  213 2013.06 [Refereed]
On the generalized lower bound conjecture for polytopes and spheres
Satoshi Murai, Eran Nevo
ACTA MATHEMATICA 210 ( 1 ) 185  202 2013.03 [Refereed]
Regularity bounds for binomial edge ideals
Kazunori Matsuda, Satoshi Murai
Journal of Commutative Algebra 5 ( 1 ) 141  149 2013 [Refereed]
Sharp upper bounds for the Betti numbers of a given Hilbert polynomial
Giulio Caviglia, Satoshi Murai
ALGEBRA & NUMBER THEORY 7 ( 5 ) 1019  1064 2013 [Refereed]
Hvectors of simplicial cell balls
Satoshi Murai
Transactions of the American Mathematical Society 365 ( 3 ) 1533  1550 2013 [Refereed]
Hilbert schemes and Betti numbers over ClementsLindstrom rings
Satoshi Murai, Irena Peeva
COMPOSITIO MATHEMATICA 148 ( 5 ) 1337  1364 2012.09 [Refereed]
On the cdindex and gammavector of S*shellable CWspheres
Satoshi Murai, Eran Nevo
MATHEMATISCHE ZEITSCHRIFT 271 ( 34 ) 1309  1319 2012.08 [Refereed]
LEFSCHETZ PROPERTIES AND THE VERONESE CONSTRUCTION
Martina Kubitzke, Satoshi Murai
MATHEMATICAL RESEARCH LETTERS 19 ( 5 ) 1043  1053 2012 [Refereed]
Spheres arising from multicomplexes
Satoshi Murai
JOURNAL OF COMBINATORIAL THEORY SERIES A 118 ( 8 ) 2167  2184 2011.11 [Refereed]
The LexPlusPowers Conjecture holds for pure powers
Jeff Mermin, Satoshi Murai
ADVANCES IN MATHEMATICS 226 ( 4 ) 3511  3539 2011.03 [Refereed]
FREE RESOLUTIONS OF LEX IDEALS OVER A KOSZUL TORIC RING
Satoshi Murai
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 363 ( 2 ) 857  885 2011.02 [Refereed]
Hilbert schemes and maximal Betti numbers over veronese rings
Vesselin Gasharov, Satoshi Murai, Irena Peeva
MATHEMATISCHE ZEITSCHRIFT 267 ( 12 ) 155  172 2011.02 [Refereed]
REGULARITY OF CANONICAL AND DEFICIENCY MODULES FOR MONOMIAL IDEALS
Manoj Kummini, Satoshi Murai
PACIFIC JOURNAL OF MATHEMATICS 249 ( 2 ) 377  383 2011.02 [Refereed]
Applications of mapping cones over ClementsLindstrom rings
Vesselin Gasharov, Satoshi Murai, Irena Peeva
JOURNAL OF ALGEBRA 325 ( 1 ) 34  55 2011.01 [Refereed]
Betti numbers of lex ideals over some MacaulayLex rings
Jeff Mermin, Satoshi Murai
JOURNAL OF ALGEBRAIC COMBINATORICS 31 ( 2 ) 299  318 2010.03 [Refereed]
Betti numbers of chordal graphs and f vectors of simplicial complexes
Takayuki Hibi, Kyouko Kimura, Satoshi Murai
JOURNAL OF ALGEBRA 323 ( 6 ) 1678  1689 2010.03 [Refereed]
Algebraic shifting of strongly edge decomposable spheres
Satoshi Murai
JOURNAL OF COMBINATORIAL THEORY SERIES A 117 ( 1 ) 1  16 2010.01 [Refereed]
ON FACE VECTORS OF BARYCENTRIC SUBDIVISIONS OF MANIFOLDS
Satoshi Murai
SIAM JOURNAL ON DISCRETE MATHEMATICS 24 ( 3 ) 1019  1037 2010 [Refereed]
HVECTORS OF SIMPLICIAL COMPLEXES WITH SERRE'S CONDITIONS
Satoshi Murai, Naoki Terai
MATHEMATICAL RESEARCH LETTERS 16 ( 56 ) 1015  1028 2009.09 [Refereed]
Face vectors of twodimensional Buchsbaum complexes
Satoshi Murai
ELECTRONIC JOURNAL OF COMBINATORICS 16 ( 1 ) 2009.05 [Refereed]
ALGEBRAIC SHIFTING AND GRADED BETTI NUMBERS
Satoshi Murai, Takayuki Hibi
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 361 ( 4 ) 1853  1865 2009 [Refereed]
Gotzmann ideals of the polynomial ring
Satoshi Murai, Takayuki Hibi
MATHEMATISCHE ZEITSCHRIFT 260 ( 3 ) 629  646 2008.11 [Refereed]
Borelpluspowers monomial ideals
Satoshi Murai
JOURNAL OF PURE AND APPLIED ALGEBRA 212 ( 6 ) 1321  1336 2008.06 [Refereed]
Rigidity of linear strands and generic initial ideals
Satoshi Murai, Pooja Singla
NAGOYA MATHEMATICAL JOURNAL 190 35  61 2008.06 [Refereed]
Betti numbers of strongly colorstable ideals and squarefree strongly colorstable ideals
Satoshi Murai
JOURNAL OF ALGEBRAIC COMBINATORICS 27 ( 3 ) 383  398 2008.05 [Refereed]
Componentwise linear ideals with minimal or maximal Betti numbers
Juergen Herzog, Takayuki Hibi, Satoshi Murai, Yukihide Takayama
ARKIV FOR MATEMATIK 46 ( 1 ) 69  75 2008.04 [Refereed]
A combinatorial proof of Gotzmann's persistence theorem for monomial ideals
Satoshi Murai
EUROPEAN JOURNAL OF COMBINATORICS 29 ( 1 ) 322  333 2008.01 [Refereed]
The depth of an ideal with a given Hilbert function
Satoshi Murai, Takayuki Hibi
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 136 ( 5 ) 1533  1538 2008 [Refereed]
KruskalKatona type theorems for clique complexes arising from chordal and strongly chordal graphs
Juergen Herzog, Takayuki Hibi, Satoshi Murai, Ngo Viet Trung, Xinxian Zheng
COMBINATORICA 28 ( 3 ) 315  323 2008 [Refereed]
Hilbert functions of dregular ideals
Satoshi Murai
JOURNAL OF ALGEBRA 317 ( 2 ) 658  690 2007.11 [Refereed]
Generic initial ideals and squeezed spheres
Satoshi Murai
ADVANCES IN MATHEMATICS 214 ( 2 ) 701  729 2007.10 [Refereed]
Generic initial ideals and exterior algebraic shifting of the join of simplicial complexes
Satoshi Murai
ARKIV FOR MATEMATIK 45 ( 2 ) 327  336 2007.10 [Refereed]
Algebraic shifting of cyclic polytopes and stacked polytopes
Satoshi Murai
DISCRETE MATHEMATICS 307 ( 14 ) 1707  1721 2007.06 [Refereed]
Maximal Betti numbers of CohenMacaulay complexes with a given fvector
Satoshi Murai, Takayuki Hibi
ARCHIV DER MATHEMATIK 88 ( 6 ) 507  512 2007.06 [Refereed]
Algebraic shifting of finite graphs
Satoshi Murai
COMMUNICATIONS IN ALGEBRA 35 ( 10 ) 3071  3094 2007 [Refereed]
Gotzmann monomial ideals
Murai Satoshi
ILLINOIS JOURNAL OF MATHEMATICS 51 ( 3 ) 843  852 2007 [Refereed]
Gin and Lex of certain monomial ideals
Satoshi Murai, Takayuki Hibi
MATHEMATICA SCANDINAVICA 99 ( 1 ) 76  86 2006 [Refereed]
A filtration on the cohomology rings of regular nilpotent Hessenberg varieties
Megumi Harada, Tatsuya Horiguchi, Satoshi Murai, Martha Precup, Julianna Tymoczko
arXiv:1912.12892 2019.12
The Japanese Conference on Combinatorics and its Applications in Sendai
Lefschetz Properties in Algebra, Geometry and Combinatorics
The Japanese Conference on Combinatorics and its Applications
The 26th International Conference on Formal Power Series and Algebraic Combinatorics
Japan Conference on Graph Theory and Combinatorics
The 24th International Conference on Formal Power Series and Algebraic Combinatorics
日本数学会 建部賢弘賞奨励賞
2008.08
Winner： 村井 聡
多様体の単体分割の持つ組合せ論的・代数的対称性
村井 聡
2017年度日本数学会秋季総合分科会 特別講演
Presentation date： 2017.09
凸多面体の面の数え上げ論の近況
村井 聡
2017年度日本数学会年会 応用数学分科会特別セッション「凸多面体の数え上げ論の近況」
Presentation date： 2017.03
多様体の単体分割の組合せ論と代数
村井 聡
第63回トポロジーシンポジウム
Presentation date： 2016.07
多様体の三角形分割の組合せ論と可換代数,
村井 聡
第60回代数学シンポジウム
Presentation date： 2015.08
単体的セル複体の面の数え上げの話
村井 聡
第56回代数学シンポジウム
Presentation date： 2011.08
2020 Claudiu
Hessenberg多様体のコホモロジ一環の環構造に関する研究
2019 村井 聡
Hessenberg多様体のコホモロジ一環の基底に関する研究
2018 堀口達也
Algebraic Combinatorics EditorsinChief