- Generalized Alexander quandles of finite groups and their characterizations (with H. Kurihara),

*European J. Math.*, to appear.

- Difference of Hilbert series of homogeneous monoid algebras and their normalizations,

*Semigroup Forum*,**108**(2024), 101--114.

- Combinatorial Mutations of Gelfand-Tsetlin Polytopes, Feigin-Fourier-Littelmann-Vinberg Polytopes, and Block Diagonal Matching Field Polytopes (with O. Clarke and F. Mohammadi),

*J. Pure Appl. Algebra*,**228**no. 7, (2024), 107637.

- Feedback game on 3-chromatic Eulerian triangulations of surfaces (with K. Kurimoto and N. Matsumoto),

*Discrete Appl. Math.*,**347**(2024), 30--38.

- Kempe equivalence of almost bipartite graphs (with N. Matsumoto),

*Australas. J. Combin.*,**87**(2023), 203--213.

- The h-vectors of the edge rings of a special family of graphs (with N. Shibu Deepthi),

*Comm. Algebra*,**51**(2023), 5287--5296.

- Combinatorial classification of (±1)-skew projective spaces (with K. Ueyama),

*Q. J. Math.*,**74**(2023), 939--956.

- The distribution of roots of Ehrhart polynomials for the dual of root polytopes (with Y. Yamada),

*Graphs and Comb.*,**39**(2023), 83.

- Adjacency matrices over a finite prime field and their direct sum decompositions (with Y. Sugishita),

*Linear Algebra Appl.*,**677**(15) (2023), 306--322.

- The equivariant Ehrhart theory of polytopes with order-two symmetries (with O. Clarke and M. Kölbl),

*Proc. Amer. Math. Soc.*,**151**(9) (2023), 4027--4041.

- Period collapse in characteristic quasi-polynomials of non-central hyperplane arrangements (with T. N. Tran and M. Yoshinaga),

*Int. Math. Res. Not. IMRN*,**10**(2023), 8934--8963.

- Behaviors of pairs of dimensions and depths of edge ideals (with A. Kanno and R. Ueji),

*Comm. Algebra*,**51**(8) (2023), 3574--3584.

- Combinatorial mutations of Newton-Okounkov polytopes arising from plabic graphs (with Y. Nakajima),

*Advanced Studies in Pure Mathematics*, the proceeding of the conference "The McKay correspondence, mutation and related topics", Vol. 88., 2023. 227--278.

- Homogeneous quandles arising from automorphisms of symmetric groups (with H. Kurihara),

*Comm. Algebra*,**51**(4) (2023), 1413--1430.

- The ratio of the numbers of odd and even cycles in outerplanar graphs (with. N. Matsumoto),

*Discrete Math.*,**346**(4) (2023), 113285.

- The characterisation problem of Ehrhart polynomials of lattice polytopes,

*Interactions with lattice polytopes*, Springer Proc. Math. Stat.,**386**(2022), 181–-195.

- The root distributions of Ehrhart polynomials of free sums of reflexive polytopes (with M. Hachimori and Y. Yamada),

*Electron. J. Combin.*,**29**(3) (2022), 1--17.

- Cohomological rigidity for Fano Bott manifolds (with K. Kurimoto),

*Math. Z.*,**301**(2022), 2369-–2391.

- Combinatorial Mutations and Block Diagonal Polytopes (with O. Clarke and F. Mohammadi),

*Collect. Math.*,**73**(2022), 305--335.

- Levelness versus almost Gorensteinness of edge rings of complete multipartite graphs (with K. Matsushita),

*Comm. Algebra*,**50**no. 6, (2022), 2637--2652.

- Deformations of dimer models (with Y. Nakajima),

*SIGMA Symmetry Integrability Geom. Methods Appl.*,**18**(2022), 030, 53 pages.

- Three families of toric rings arising from posets or graphs with small class groups (with K. Matsushita),

*J. Pure Appl. Algebra*,**226**no. 10, (2022), 107979.

- Inequalities of invariants on Stanley-Reisner rings of Cohen--Macaulay simplicial complexes (with H. Kanno and K. Matsuda),

*J. Pure Appl. Algebra*,**226**no. 7, (2022), 106888.

- Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers (with K. Kurimoto and M. Masuda),

*Osaka J. Math.*,**59**(2022), 177--215.

- Combinatorial study of stable categories of graded Cohen-Macauly modules over skew quadric hypersufaces (with K. Ueyama),

*Collect. Math.*,**73**(2022), 43--54.

- Conic divisorial ideals and non-commutative crepant resolutions of edge rings of complete multipartite graphs (with K. Matsushita),

*J. Alg.*,**594**(2022), 685--711.

- Quadratic Gröbner bases of block diagonal matching field ideals and toric degenerations of Grassmannians (with H. Ohsugi),

*J. Pure Appl. Algebra*,**226**no. 2, (2022), 106821.

- Gorenstein polytopes with trinomial h
^{*}-polynomials (with B. Nill and A. Tsuchiya),

*Beiträge zur Algebra und Geometrie*,**62**(2021), 667--685.

- Newton-Okounkov bodies of flag varieties and combinatorial mutations (with N. Fujita),

*Int. Math. Res. Not. IMRN*, no.12, (2021), 9567--9607.

- Winding Number of r-modular sequences and Applications to the Singularity Content of a Fano Polygon (with D. Cavey),

*Tohoku Math. J.*,**73**no.1, (2021), 137--158.

- Generalized F-signatures of Hibi rings (with Y. Nakajima),

*Illinois J. Math.*,**65**no.1, (2021), 97--120.

- Universal conditions on h
^{*}-vectors of lattice simplices,

*J. Geometry*,**112**no.1, (2021), 9 pages.

- Toric ideals of Minkowski sums of unit simplices (with H. Ohsugi),

*Alg. Comb.*,**3**no. 4, (2020), 831--837.

- Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions (with Y. Nakajima),

*Selecta Math.(N.S.)*,**25**No. 78, (2019), 25 pages.

- Distribution of accumulation points of roots for type (n-1,1) Coxeter groups (with R. Mineyama and N. Nakashima),

*Nagoya Math. J.*,**235**(2019), 125--157.

- Smooth centrally symmetric polytopes in dimension 3 are IDP (with M. Beck, C. Haase, J. Hofscheier, K. Jochemko, L. Katthän and M. Michalek),

*Ann. Comb.*,**23**(2019), 255--262.

- Permutations with small maximal k-consecutive sums (with K. Kurimoto),

*Discrete Math.*,**342**(2019), 2467--2481.

- Arithmetic Aspects of symmetric edge polytopes (with K. Jochemko and M. Michalek),

*Mathematika*,**65**(2019), 763--784.

- Unimodality on δ-vectors of lattice polytopes and two related properties,

*European J. Math.*,**5**(2019), 333--355.

- Lattice simplices of maximal dimension with a given degree,

*Michigan Math. J.*,**68**(2019), 193--210.

- Ehrhart Polynomial Roots of Reflexive Polytopes (with G. Hegedüs and A. Kasprzyk),

*Electron. J. Combin.*,**26**(2019), 1--27.

- Ehrhart polynomials with negative coefficients (with T. Hibi, A. Tsuchiya and K. Yoshida),

*Graphs and Comb.*,**35**(2019), 363--371.

- Universal inequalities in Ehrhart Theory (with G. Balletti),

*Israel J. Math.*,**227**(2018), 843--859.

- Existence of regular unimodular triangulations of dilated empty simplices (with T. Hibi and K. Yoshida),

*European J. Combin.*,**70**(2018), 374--383.

- Non-level semi-standard graded Cohen--Macaulay domain with h-vector (h
_{0}, h_{1}, h_{2}) (with K. Yanagawa),

*J. Pure Appl. Algebra*,**222**(2018), 191--201.

- Lattice multipolygons (with M. Masuda),

*Kyoto J. Math.*,**57**(2017), 807--828.

- Interlacing Ehrhart Polynomials of Reflexive Polytopes (with M. Kummer and M. Michalek),

*Selecta Math.*,**23**(2017), 2977--2998.

- Integer decomposition property of free sums of convex polytopes (with T. Hibi),

*Ann. Comb.*,**20**(2016), 601--607.

- Minkowski sum of polytopes and its normality,

*J. Math. Soc. Japan.*,**68**(2016), 1147--1159.

- Almost Gorenstein homogeneous rings and their h-vectors,

*J. Alg.*,**456**(2016), 190--206.

- Dominating induced matchings of finite graphs and regularity of edge ideals (with T. Hibi, K. Kimura and A. Tsuchiya),

*J. Algebr. Comb.*,**43**(2016), 173--198.

- Smooth Fano polytopes arising from finite directed graphs,

*Kyoto J. Math.*,**55**(2015), 579--592.

- Algebraic study on Cameron-Walker graphs (with T. Hibi, K. Kimura and A. B. O'Keefe),

*J. Alg.*,**422**(2015), 257--269.

- Toric rings arising from cyclic polytopes (with T. Hibi, L. Katthän and R. Okazaki),

*Comm. Algebra*,**43**(2015), 778--794.

- Non-normal very ample polytopes and their holes,

*Electron. J. Combin.*,**21**(2014), 1--12.

- Ehrhart polynomials of integral simplices with prime volumes,

*INTEGERS*,**14**(2014), 1--15.

- Integer decomposition property of dilated polytopes (with D. A. Cox, C. Haase and T. Hibi),

*Electron. J. Combin.*,**21**(2014), 1--17.

- Depth of initial ideals of normal edge rings (with T. Hibi, K. Kimura and A. B. O'Keefe),

*Comm. Algebra*,**42**(2014), 2908--2922.

- Normal cyclic polytopes and cyclic polytopes that are not very ample (with T. Hibi, L. Katthän and R. Okazaki),

*J. Australian Math. Soc.*,**96**(2014), 61--77.

- Hermite normal forms and δ-vector (with T. Hibi and N. Li),

*J. Comb. Theory Ser. A***119**(2012), 1158--1173.

- Counterexamples of the conjecture on roots of Ehrhart polynomials,

*Discrete Comput. Geom.***47**(2012), 618--623.

- Roots of Ehrhart polynomials arising from graphs (with T. Matsui, Y. Nagazawa, H. Ohsugi and T. Hibi),

*J. Algebr. Comb.***34**(2011), 721--749.

- Depth of edge rings arising from finite graphs (with T. Hibi, K. Kimura and A. B. O'Keefe),

*Proc. Amer. Math. Soc.***139**(2011), 3807--3813.

- Roots of Ehrhart polynomials of Gorenstein Fano polytopes (with T. Hibi and H. Ohsugi),

*Proc. Amer. Math. Soc.***139**(2011), 3727--3734.

- Smooth Fano polytopes arising from finite partially ordered sets (with T. Hibi),

*Discrete Comput. Geom.***45**(2011), 449--461.

- Ehrhart polynomials of convex polytopes with small volumes (with T. Hibi and Y. Nagazawa),

*European J. Combin.***32**(2011), 226--232.

- Shifted symmetric δ-vectors of convex polytopes,

*Discrete Math.***310**(2010), 2925--2934.

- Classification of generalized Alexander quandles (with S. Kamada, J. Kosaka and H. Kurihara)
- Characteristic quasi-polynomials of deletions of Shi arrangements of type B and their period collapse (with N. Nakashima)
- Non-finitely generated monoids corresponding to finitely generated homogeneous subalgebras (with K. Tani)
- On the Ehrhart Theory of Generalized Symmetric Edge Polytopes (with R. Davis)
- h-vectors of edge rings of odd-cycle compositions (with K. Bhaskara and N. Shibu Deepthi)
- Examples and counterexamples in Ehrhart theory (with L. Ferroni)
- Ehrhart quasi-polynomials and parallel translations (with S. Murai and M. Yoshinaga)
- Fans and polytopes in tilting theory II: g-fans of rank 2 (with T. Aoki, O. Iyama, R. Kase and Y. Mizuno)
- Restricted Chain-Order Polytopes via Combinatorial Mutations (with O. Clarke and F. Zaffalon)
- Fans and polytopes in tilting theory I: Foundations (with T. Aoki, O. Iyama, R. Kase and Y. Mizuno)
- Two poset polytopes are mutation-equivalent

- 『グレブナー教室 --計算代数統計への招待--』

竹村彰道・日比孝之・原尚幸・東谷章弘・清智也・「グレブナー道場」著者一同 著（東谷は第５章を担当）、共立出版

- 『鏡映の数学 --有限鏡映群の幾何学--』

小林雅人・陶山大輔・塚本靖之・中島規博・東谷章弘・嶺山良介 訳（東谷は第Ⅲ部を担当）、丸善出版

原著："Mirrors and Reflections --The Geometry of Finite Reflection Groups--" by A. V. Borovik and A. Borovik