Preprints
An equivariant Hochster's formula for S_n invariant monomial ideals,
submitted.
(with C. Raicu).
[pdf]
Publications

Strictness of the logconcavity of generating polynomials of matroids,
J. Combin. Theory Ser. A, to appear.
(with T. Nagaoka, A. Yazawa).
[pdf]

A filtration on the cohomology rings of regular nilpotent Hessenberg varieties,
Math. Z., to appear.
(with M. Harada, T. Horiguchi, M. Precup, J. Tymoczko).
[pdf]

Betti tables of monomial ideals fixed by permutations of the variables,
Trans. Amer. Math. Soc. 373 (2020), 70877107.
[pdf] (Corrigendum)

Hessenberg varieties and hyperplane arrangements,
J. Reine Angew Math. 764 (2020), 241286.
(with T. Abe, T. Horiguchi, M. Masuda and T. Sato)
[pdf]

Betti numbers of symmetric shifted ideals,
J. Algebra 560 (2020), 312342.
(with J. Biermann, H. de Alba, F. Galetto, U. Nagel, A. O'Keefe, T. Römer, A. Seceleanu)
[pdf]

SolomonTerao algebra of hyperplane arrangements,
J. Math. Soc. Japan 71 (2019), 10271047.
(with T. Abe, T. Maeno, Y. Numata)
[pdf]

Exceptional balanced triangulations on surfaces,
Graphs Combin. 35 (2019), 13611373.
(with S. Klee and Y. Suzuki)
[pdf]

The numbers of edges of 5polytopes with a given number of vertices,
Ann. Comb. 23 (2019), 89101.
(with T. Kusunoki)
[pdf]

Local hvectors of quasigeometric and barycentric subdivisions,
Discrete Comput. Geom. 61 (2019), 364379.
(with M. JuhnkeKubitzke and R. Sieg)
[pdf]

Lefschetz properties for complete intersection ideals generated by products of linear forms,
Proc. Amer. Math. Soc. 146 (2018), 32493256.
(with M. JuhnkeKubitzke, R. M. MiróRoig and A. Wachi)
[pdf]
 Balanced generalized lower bound inequality for simplicial polytopes,
Selecta Math. 24 (2018), 16771689.
(with M. JuhnkeKubitzke)
[pdf]

A generalized lower bound theorem for balanced manifolds,
Math. Z. 289 (2018), 921942.
(with M. JuhnkeKubitzke, I. Novik and C. Sawaske)
[pdf]

Lefschetz properties of balanced 3polytopes,
Rocky Mountain J. Math. 48 (2018), 769790.
(with D. Cook II, M. JuhnkeKubitzke and E. Nevo)
[pdf]

Balanced subdivisions and flips on surfaces,
Proc. Amer. Math. Soc. 146 (2018), 939951
(with Y. Suzuki)
[pdf]

Face numbers and the fundamental group,
Israel J. Math. 222 (2017), 297315.
(with I. Novik)
[pdf]
 On stacked triangulated manifolds,
Electron. J. Combin. 24 (2017), P4.12.
(with B. Datta)
[pdf]
 Face numbers of manifolds with boundary,
Int. Math. Res. Not. IMRN (2017), 36033646.
(with I. Novik)
[pdf]

A duality in Buchsbaum rings and triangulated manifolds,
Algebra and Number Theory 11 (2017), 635656.
(with I. Novik and K. Yoshida)
[pdf]
 On Hilbert functions of general intersections of ideals,
Nagoya Math. J. 222 (2016), 6173.
(with G. Caviglia)
[pdf]
 Uniformly CohenMacaulay simplicial complexes
and almost Gorenstein* simplicial complexes,
J. Algebra 455 (2016), 1431.
(with N. Matsuoka)
[pdf]
 Tight combinatorial manifolds and graded Betti numbers,
Collect. Math. 66 (2015), 367386.
[pdf]
 Invariance of Pontrjagin classes for Bott manifolds,
Algebr. Geom. Topol. 15 (2015), 965986.
(with S. Choi and M. Masuda)
[pdf]
 Regularity bounds for Koszul cycles,
Proc. Amer. Math. Soc. 143 (2015), 493503.
(with A. Conca)
[pdf]
 Squarefree Pmodules and the cdindex,
Adv. Math. 265 (2014), 241279.
(with K. Yanagawa)
[pdf]
 The flag fvectors of Gorenstein* order complexes of dimension 3,
Proc. Amer. Math. Soc. 142 (2014), 15271538.
(with E. Nevo)
[pdf]
 On rstacked triangulated manifolds,
J. Algebraic Combin. 39 (2014), 373388.
(with E. Nevo)
[pdf]
 On ideals with the Rees property,
Arch. Math. (Basel) 101 (2013), 445454.
(with J. Migliore, R. M. MiróRoig, U. Nagel and J. Watanabe)
[pdf]
 Sharp upper bounds of the Betti numbers for a given Hilbert polynomial,
Algebra and Number Theory 7 (2013), 10191064.
(with G. Caviglia)
[pdf]
 Face vectors of simplicial cell decompositions of manifolds,
Israel J. Math. 195 (2013), 187213.
[pdf]
 Regularity bounds for binomial edge ideals,
J. Commut. Algebra 5 (2013), 141149.
(with K. Matsuda)
[pdf]
 On the generalized lower bound conjecture for polytopes and spheres,
Acta. Math. 210 (2013), 185202.
(with E. Nevo)
[pdf]
 hvectors of simplicial cell balls,
Trans. Amer. Math. Soc. 365 (2013), 15331550.
[pdf]
 Lefschetz properties and the Veronese construction,
Math. Res. Lett. 19 (2012), 10431053.
(with M. Kubitzke)
[pdf]
 Hilbert schemes and Betti numbers over a
ClementsLindström ring,
Compos. Math. 148 (2012), 13371364.
(with I. Peeva)
[pdf]
 On the cdindex and γvector of S*shellable CWspheres,
Math. Z. 271 (2012), 13091319. (with E. Nevo)
[pdf]
 Spheres arising from multicomplexes,
J. Combin. Theory Ser. A 118 (2011), 21672184.
[pdf]
 Regularity of Canonical and Deficiency modules for monomial ideals,
Pacific J. Math. 249 (2011), 377383. (with M. Kummini)
 Hilbert schemes and maximal Betti numbers over Veronese rings,
Math. Z. 267 (2011), 155172. (with V. Gasharov and I. Peeva)
[pdf]
 The lexpluspowers conjecture holds for pure powers,
Adv. Math. 226 (2011), 35113539. (with J. Mermin)
[pdf]
 Applications of mapping cones over ClementsLindström rings,
J. Algebra 325 (2011), 3455. (with V. Gasharov and I. Peeva)
 Free resolutions of lex ideals over a Koszul toric ring,
Trans. Amer. Math. Soc. 363 (2011), 857885.
[pdf]
 On face vectors of barycentric subdivisions of manifolds,
SIAM J. Discrete Math. 24 (2010), 10191037.
[pdf]
 Betti numbers of chordal graphs and fvectors of simplicial complexes, J. Algebra 323 (2010), 16781689. (with T. Hibi and K. Kimura)
[pdf]
 Betti numbers of lex ideals over some MacaulayLex rings,
J. Algebraic Combin. 31 (2010), 299318. (with J. Mermin)
[pdf]
 Algebraic shifting of strongly edge decomposable spheres, J. Combin. Theory Ser. A 117 (2010), 116.
[pdf]
 Hvectors of simplicial complexes with Serre's conditions,
Math. Res. Lett. 16 (2009), 10151028. (with N. Terai)
[pdf]
 Face vectors of twodimensional Buchsbaum complexes,
Electron. J. Combin. 16 (2009), R68.
[pdf]
 Algebraic shifting and graded Betti numbers,
Trans. Amer. Math. Soc. 361 (2009), 18531865. (with T. Hibi) [pdf]
 Gotzmann ideals of the polynomial ring, Math. Z. 260
(2008), 629646. (with T. Hibi)
[pdf]
 KruskalKatona type theorems for clique
complexes arising from chordal and strongly chordal graphs,
Combinatorica 28 (2008), 315323. (with J. Herzog, T. Hibi,
N.V. Trung and X. Zheng)
 Rigidity of linear strands and generic initial
ideals, Nagoya Math. J. 190 (2008), 3561. (with P. Singla)
 Betti numbers of strongly colorstable ideals and squarefree strongly
colorstable ideals, J. Algebraic Combin. 27 (2008), 383398.
[pdf]
 Borelpluspowers monomial ideals, J. Pure and Appl. Algebra
212 (2008), 13211336.
[pdf]
 Componentwise linear ideals with minimal or maximal Betti numbers,
Ark. Mat. 46 (2008), 6975. (with J. Herzog, T. Hibi and
Y. Takayama)
 The depth of an ideal with a given Hilbert function, Proc. Amer. Math.
Soc. 136 (2008), 15331538. (with T. Hibi)
[pdf]
 A combinatorial proof of Gotzmann's persistence theorem for monomial
ideals, European J. Combin. 29 (2008), 322333.
 Hilbert functions of dregular ideals, J. Algebra
317
(2007), 658690.
[pdf]
 Generic initial ideals and exterior algebraic shifting of the join of
simplicial complexes, Ark. Mat. 45 (2007), 327336.
 Algebraic shifting of finite graphs, Comm. Algebra 35 (2007), 30713094.
 Gotzmann monomial ideals, Illinois J. Math. 51 (2007), 843852.
 Generic initial ideals and squeezed spheres, Adv. Math.
214 (2007), 701729.
[pdf]
 Maximal Betti numbers of CohenMacaulay simplicial
complexes with a given fvector, Arch. Math. (Basel)
88 (2007), 507512. (with
T. Hibi)
 Algebraic shifting of cyclic polytopes and stacked polytopes, Discrete
Math. 307 (2007), 17071721.
[pdf]
 Gin and Lex of certain monomial ideals, Math. Scand.
99 (2006), 7686. (with T. Hibi)
Articles in Japanese
 多様体の三角形分割の組合せ論と代数, 第63回トポロジーシンポジウムアブストラクト, 2016.
[pdf]
 On face vectors of simplicial posets,
数理解析研究所考究録 1738 (2011), 92101.
[pdf]
 Shifting operationと次数付ベッチ数について, 第19回可換環論セミナー報告集, 2007.
[pdf]
 ジェネリックイニシャルイデアル, 『グレブナー基底の現在』 (日比孝之編), 数学書房, 2006,
pp. 215240.
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