Preprints

18.  (with Takuro Abe) Worpitzky-compatible sets and the freeness of arrangements between Shi and Catalan (arXiv) (2024) (NEW)

17.  (with Hung Manh Tran and Shuhei Tsujie) Vines and MAT-labeled graphs (arXiv) (2023) (NEW)

16.  (with Shuhei Tsujie) A type $B$ analog of the Ish arrangement (arXiv) (2023)

15.  Expectations of Tutte-related functions of random ranked sets with multiplicities (arXiv) (2020)

Refereed Publications

14.  (with Paul Mücksch and Gerhard Röhrle) Flag-accurate arrangements 

Innovations in Incidence Geometry — Algebraic, Topological and Combinatorial, accepted, 2024 (arXiv) (NEW)

13.  (with Takuro Abe and Shuhei Tsujie) Vertex-weighted digraphs and freeness of arrangements between Shi and Ish 

European Journal of Combinatorics, 118:103920, 2024 (arXiv) (DOI) (NEW)

12.  (with Roberto Pagaria, Maddalena Pismataro and Lorenzo Vecchi) Inductive and divisional posets 

Journal of the London Mathematical Society, 109(1): e12829, 2024 (arXiv) (DOI) (open access) (NEW)

11.  (with Shuhei Tsujie) MAT-free graphic arrangements and a characterization of strongly chordal graphs by edge-labeling 

Algebraic Combinatorics, 6(6):1447-1467, 2023 (arXiv) (DOI) (open access)

10.  (with Akihiro Higashitani and Masahiko Yoshinaga) Period collapse in characteristic quasi-polynomials of hyperplane arrangements 

International Mathematics Research Notices IMRN, 2023(10):8934-8963, 2023 (arXiv) (DOI) (free access)

9.  (with Akiyoshi Tsuchiya) Worpitzky-compatible subarrangements of braid arrangements and cocomparability graphs 

Comptes Rendus Mathématique (formerly, C. R. Acad. Sci. Paris, Ser. I), 359(6):665-674, 2021 (arXiv) (DOI) (open access)

8.  (with Ye Liu and Masahiko Yoshinaga) $G$-Tutte polynomials and abelian Lie group arrangements

International Mathematics Research Notices IMRN, 2021(1):150-188, 2021 (arXiv) (DOI) (free access)

7.  The largest coefficient of the highest root and the second smallest exponent

Graphs and Combinatorics, 37:127-137, 2021 (arXiv) (DOI) (full-text view-only)

6.  (with Takuro Abe and Hiroaki Terao) On $A_1^2$ restrictions of Weyl arrangements

Journal of Algebraic Combinatorics, 54:353-379, 2021 (arXiv) (DOI) (full-text view-only)

5.  An equivalent formulation of chromatic quasi-polynomials 

Discrete Mathematics, 343(10):112012, 2020 (arXiv) (DOI)

4.  (with Ahmed Umer Ashraf and Masahiko Yoshinaga) Eulerian polynomials for subarrangements of Weyl arrangements

Advances in Applied Mathematics, 120:102064, 2020 (arXiv) (DOI)

3.  Characteristic quasi-polynomials of ideals and signed graphs of classical root systems

European Journal of Combinatorics, 79:179-192, 2019 (arXiv) (DOI)

2.  (with Masahiko Yoshinaga) Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials 

Journal of Combinatorial Theory, Series A, 165:258-272, 2019 (arXiv) (DOI)

1.  (with Moshe Rosenfeld) Weighted Erdös-Mordell inequality for star-shaped polygons

Geombinatorics, XXV(1):36-44, 2015 (journal page) (MR3443962)

Non-refereed Publications

4.  Characteristic and Ehrhart quasi-polynomials for root systems. 

Oberwolfach Reports, Abe Takuro, Dimca Alexandru, Feichtner Eva-Maria, Röhrle Gerhard: Logarithmic Vector Fields and Freeness of Divisors and Arrangements: New perspectives and applications, 18(1):225-300, 2021 (DOI)

3.  Characteristic quasi-polynomials and a connection to Ehrhart theory

Hokkaido University technical report series in mathematics, The 15th Mathematics Conference for Young Researchers, 176:93-102, 2019 (DOI)

2.  $G$-Tutte polynomial via algebraic combinatorics, topology and enumeration

Hokkaido University technical report series in mathematics, The 14th Mathematics Conference for Young Researchers, 173:457-466, 2018 (DOI)

1.  (with Nam Tien Le, Tung Tho Nguyen, Do Van Tran and Moshe Rosenfeld) Yes they can!

Research Experience for Undergraduates, VNU University of Science, 2014 (PDF) (media news)