Hiroaki Terao

3.2k total citations · 1 hit paper
59 papers, 1.6k citations indexed

About

Hiroaki Terao is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Hiroaki Terao has authored 59 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Discrete Mathematics and Combinatorics, 38 papers in Geometry and Topology and 21 papers in Mathematical Physics. Recurrent topics in Hiroaki Terao's work include Advanced Combinatorial Mathematics (45 papers), Algebraic structures and combinatorial models (18 papers) and Advanced Algebra and Geometry (16 papers). Hiroaki Terao is often cited by papers focused on Advanced Combinatorial Mathematics (45 papers), Algebraic structures and combinatorial models (18 papers) and Advanced Algebra and Geometry (16 papers). Hiroaki Terao collaborates with scholars based in Japan, United States and France. Hiroaki Terao's co-authors include Peter Orlik, Louis Solomon, Alexander Varchenko, Vadim Schechtman, Michel Jambu, Takuro Abe, Michael Falk, Sergey Yuzvinsky, Akimichi Takemura and Kazuhiko Aomoto and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Hiroaki Terao

53 papers receiving 1.4k citations

Hit Papers

Arrangements of Hyperplanes 1992 2026 2003 2014 1992 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Arrangements of Hyperplanes
    1992 729 citations Peter Orlik, Hiroaki Terao profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Hiroaki Terao Japan 17 1.2k 975 598 537 318 59 1.6k
Victor Reiner United States 25 1.5k 1.3× 1.2k 1.2× 982 1.6× 534 1.0× 726 2.3× 120 2.1k
Melvyn B. Nathanson United States 16 707 0.6× 508 0.5× 539 0.9× 234 0.4× 533 1.7× 139 1.4k
Curtis Greene United States 20 940 0.8× 575 0.6× 418 0.7× 273 0.5× 562 1.8× 44 1.4k
Imre Z. Ruzsa Hungary 22 1.1k 1.0× 638 0.7× 548 0.9× 270 0.5× 641 2.0× 140 1.7k
Michelle L. Wachs United States 24 1.2k 1.0× 799 0.8× 850 1.4× 447 0.8× 635 2.0× 52 1.7k
Mark Haiman United States 23 1.2k 1.1× 1.2k 1.2× 768 1.3× 634 1.2× 251 0.8× 41 1.7k
Andrew Granville Canada 20 577 0.5× 624 0.6× 1.0k 1.7× 338 0.6× 161 0.5× 124 1.5k
L. N. Vaserstein United States 21 644 0.6× 768 0.8× 807 1.3× 804 1.5× 191 0.6× 77 1.5k
Igor Pak United States 18 653 0.6× 369 0.4× 267 0.4× 252 0.5× 294 0.9× 120 1.0k
J. Pintz Hungary 19 620 0.5× 460 0.5× 776 1.3× 161 0.3× 223 0.7× 88 1.2k

Countries citing papers authored by Hiroaki Terao

Since Specialization
Citations

This map shows the geographic impact of Hiroaki Terao's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Hiroaki Terao with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Hiroaki Terao more than expected).

Fields of papers citing papers by Hiroaki Terao

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Hiroaki Terao. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Hiroaki Terao. The network helps show where Hiroaki Terao may publish in the future.

Co-authorship network of co-authors of Hiroaki Terao

This figure shows the co-authorship network connecting the top 25 collaborators of Hiroaki Terao. A scholar is included among the top collaborators of Hiroaki Terao based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Hiroaki Terao. Hiroaki Terao is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Abe, Takuro & Hiroaki Terao. (2019). Multiple addition, deletion and restriction theorems for hyperplane arrangements. Proceedings of the American Mathematical Society. 147(11). 4835–4845. 7 indexed citations
2.
Orlik, Peter, Louis Solomon, & Hiroaki Terao. (2018). On Coxeter Arrangements and the Coxeter Number. Advanced studies in pure mathematics. 461–477. 1 indexed citations
3.
Abe, Takuro & Hiroaki Terao. (2014). Simple-root bases for Shi arrangements. Journal of Algebra. 422. 89–104. 3 indexed citations
4.
Abe, Takuro, et al.. (2012). Equivariant multiplicities of Coxeter arrangements and invariant bases. Advances in Mathematics. 230(4-6). 2364–2377. 1 indexed citations
5.
Abe, Takuro & Hiroaki Terao. (2011). The freeness of Shi–Catalan arrangements. European Journal of Combinatorics. 32(8). 1191–1198. 7 indexed citations
6.
Abe, Takuro & Hiroaki Terao. (2011). Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements. Journal of Algebra. 330(1). 251–262. 2 indexed citations
7.
Takemura, Akimichi, et al.. (2007). The characteristic quasi-polynomials of the arrangements of root systems. EPrints - Department of Mathematics, Hokkaido University. 865. 1–24.
8.
Abe, Takuro, et al.. (2006). The $e$-multiplicity and addition-deletion theorems for multiarrangements. Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University). 823. 1–16. 1 indexed citations
9.
Terao, Hiroaki. (2005). Bases of the contact-order filtration of derivations of Coxeter arrangements. Proceedings of the American Mathematical Society. 133(7). 2029–2034. 1 indexed citations
10.
Aomoto, Kazuhiko, Michitake Kita, Peter Orlik, & Hiroaki Terao. (1997). Twisted de Rham Cohomology Groups of Logarithmic Forms. Advances in Mathematics. 128(1). 119–152. 15 indexed citations
11.
Schechtman, Vadim, Hiroaki Terao, & Alexander Varchenko. (1995). Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors. Journal of Pure and Applied Algebra. 100(1-3). 93–102. 67 indexed citations
12.
Orlik, Peter & Hiroaki Terao. (1994). Commutative algebras for arrangements. Nagoya Mathematical Journal. 134. 65–73. 38 indexed citations
13.
Terao, Hiroaki, et al.. (1991). A free resolution of the module of logarithmic forms of a generic arrangement. Journal of Algebra. 136(2). 376–400. 26 indexed citations
14.
Solomon, Louis & Hiroaki Terao. (1987). A formula for the characteristic polynomial of an arrangement. Advances in Mathematics. 64(3). 305–325. 38 indexed citations
15.
Terao, Hiroaki. (1986). Modular elements of lattices and topological fibration. Advances in Mathematics. 62(2). 135–154. 36 indexed citations
16.
Jambu, Michel & Hiroaki Terao. (1984). Free arrangements of hyperplanes and supersolvable lattices. Advances in Mathematics. 52(3). 248–258. 35 indexed citations
17.
Terao, Hiroaki. (1983). Discriminant of a holomorphic map and logarithmic vector fields. Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics. 30(2). 379–391. 10 indexed citations
18.
Hayashi, Fumi, Kazue Yamaoka, & Hiroaki Terao. (1982). A COMPARATIVE STUDY BETWEEN TWO ALGORISMS OF TRE PARAFAC MODEL. Kodo Keiryogaku (The Japanese Journal of Behaviormetrics). 9(1). 47–62. 1 indexed citations
19.
Terao, Hiroaki. (1980). Arrangements of hyperplanes and their freeness II : the Coxeter equality. Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics. 27(2). 313–320. 28 indexed citations
20.
Terao, Hiroaki. (1980). Arrangements of hyperplanes and their freeness I. Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics. 27(2). 293–312. 103 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Victor Reiner Breakdown of academic impact, for papers by Melvyn B. Nathanson Breakdown of academic impact, for papers by Curtis Greene Breakdown of academic impact, for papers by Imre Z. Ruzsa Breakdown of academic impact, for papers by Michelle L. Wachs Breakdown of academic impact, for papers by Mark Haiman Breakdown of academic impact, for papers by Andrew Granville Breakdown of academic impact, for papers by L. N. Vaserstein Breakdown of academic impact, for papers by Igor Pak Breakdown of academic impact, for papers by J. Pintz
Rankless by CCL
2026