Megumi Harada, Tatsuya Horiguchi, Satoshi Murai, Martha Precup, Julianna Tymoczko. A filtration on the cohomology rings of regular nilpotent Hessenberg varieties. to appear in Mathematische Zeitschrift. 2020
Hiraku Abe, Tatsuya Horiguchi. A survey of recent developments on Hessenberg varieties. Schubert Calculus and Its Applications in Combinatorics and Representation Theory Guangzhou, China, November 2017 (Springer Proceedings in Mathematics & Statistics). 2020. 332. 251-279
Takuro Abe, Tatsuya Horiguchi, Mikiya Masuda, Satoshi Murai, Takashi Sato. Hessenberg varieties and hyperplane arrangements. Journal für die reine und angewandte Mathematik (Crelles Journal). 2020. 2020. 764. 241-286
Hiraku Abe, Megumi Harada, Tatsuya Horiguchi, Mikiya Masuda. The cohomology rings of regular nilpotent Hessenberg varieties in Lie type A. Int. Math. Res. Not. IMRN. 2019. 2019. 17. 5316-5388
Hiraku Abe, Tatsuya Horiguchi, Mikiya Masuda. The cohomology rings of regular semisimple Hessenberg varieties for h=(h(1),n,...,n). Journal of Combinatorics. 2019. 10. 1. 27-59
Hiraku Abe, Tatsuya Horiguchi, Hideya Kuwata, Haozhi Zeng. Geometry of Peterson Schubert calculus in type A and left-right diagrams. arXiv:2104.02914. 2021
Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka, Akiyoshi Tsuchiya. An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties. arXiv:1912.11763. 2019