20. (with Hung Manh Tran and Shuhei Tsujie) An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains (arXiv) (2026) (NEW)
19. (with Michael Cuntz, Hung Manh Tran and Shuhei Tsujie) Signatures of Type $A$ Root Systems (arXiv) (2025)
18. Expectations of Tutte-related functions of random ranked sets with multiplicities (arXiv) (2020)
17. (with Takuro Abe) Worpitzky-compatible sets and the freeness of arrangements between Shi and Catalan
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, in press, 2025 (arXiv) (FCA)
16. (with Shuhei Tsujie) A type $B$ analog of the Ish arrangement
Algebraic Combinatorics, 8(1):267-294, 2025 (arXiv) (DOI)
15. (with Hung Manh Tran and Shuhei Tsujie) Vines and MAT-labeled graphs
Forum of Mathematics, Sigma, 12:e128, 2024 (arXiv) (DOI) (open access)
An extended abstract of this paper is published (with peer review) in the proceedings of FPSAC 2024. Séminaire Lotharingien de Combinatoire, 91B.12 (2024), 12 pp.
14. (with Paul Mücksch and Gerhard Röhrle) Flag-accurate arrangements
Innovations in Incidence Geometry — Algebraic, Topological and Combinatorial, 21(1):57-116, 2024 (arXiv) (DOI)
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)
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)
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)
My Erdös number is 2 (via Moshe Rosenfeld)
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) (a book containing our project results) (media news)
4. Worpitzky-compatible sets and the freeness of arrangements between Shi and Catalan
Oberwolfach Reports, Abe Takuro, Graham Denham, Feichtner Eva-Maria, Röhrle Gerhard: Arrangements, Matroids and Logarithmic Vector Fields, 2024 (DOI)
3. 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)
2. 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)
1. $G$-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)