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

*Mathematika*, to appear.

- 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.*, to appear.

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

*European J. Math.*, to appear.

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

*Nagoya Math. J.*, to appear.

- 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 non-very ample cyclic polytopes (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.

- Deformations of dimer models (with Y. Nakajima)
- Winding Number of r-modular sequences and Applications to the Singularity Content of a Fano Polygon (with D. Cavey)
- Universal conditions on h
^{*}-vectors of lattice simplices - Permutations with small maximal k-consecutive sums (with K. Kurimoto)
- Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions (with Y. Nakajima)
- Gorenstein polytopes with trinomial h
^{*}-polynomials (with B. Nill and A. Tsuchiya) - Equivalence classes for smooth Fano polytopes (with A. Kasprzyk)

- 『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V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