students walk on University of Idaho campus

Visit UI

Learn about the many reasons the University of Idaho could be a perfect fit for you. Schedule Your Visit

A student waters plants in Nicaragua

Alternative Service Break

Travel to Ecuador, Nicaragua or the Philippines during winter break Dec. 27, 2016 to Jan. 9, 2017. Application deadline Sunday, Sept. 18. Apply for ASB

Parents on campus during orientation

Parent Orientation

Students and parents can learn their way around campus and discover the many opportunities at UI. Orientation events are Aug. 18-21. Register

campus full of students

UI Retirees Association

UIRA has a membership of nearly 500 from every part of the University. Learn More

Hirotachi Abo

Hirotachi Abo

Associate Professor


Brink Hall 315


(208) 885-7042

Mailing Address

Department of Mathematics
University of Idaho
875 Perimeter Drive, MS 1103
Moscow, ID 83844-1103

  • Ph.D., Mathematics, Saarland University (Germany), 2002

My research interests lie on objects in algebraic geometry, commutative algebra, and multi-linear algebra. My current research focus is on the study of problems in multi-linear algebra from an algebro-geometric viewpoint.

  • On Waring's problem for systems of skew-symmetric forms, (together with Jia Wan) Linear Algebra Appl. 439 (2013), no. 8, 2330–2349.
  • Varieties of completely decomposable forms and their secants. J. Algebra 403 (2014), 135–153.
  • On the dimensions of secant varieties of Segre-Veronese varieties (together with Maria Chiara Brambilla), Ann. Mat. Pura Appl.(4) 192 (2013), no. 1, 61-92.
  • New examples of defective secant varieties of Segre-Veronese varieties (together with Maria Chiara Brambilla), Collect. Math. 63 (2012), no. 3, 287-297.
  • Non-defectivity of Grassmanns of planes (together with Giorgio Ottaviani and Chris Peterson), J. Algebraic Geom. 21 (2012)m no. 1, 1-20. 
  • On non-defectivity of certain Segre-Veronese varieties, J. Symbolic Comput. 45 (2010), 1254-1269.
  • Secant varieties of Segre-Veronese varieties Pm x Pn embedded by the morphism given by O(1,2) (together with Maria Chiara Brambilla), Experiment. Math. 18 (2009), 269-284.
  • Petersen plane arrangements and a surface with multiple 7-secants (together with Holger P. Kley and Chris Peterson), Adv. Geom. 9 (2009), no. 3, 349-369.
  • Induction for secant varieties of Segre varieties (together with Giorgio Ottaviani and Chris Peterson), Trans. Amer. Math. Soc. 361 (2009), 767-792.

Research Grant

  • National Science Foundation, 2009-2012, "Collaborative Research: Algebraic Geometry of Tensors"


Physical Address:
Brink Hall 300

Mailing Address:
875 Perimeter Drive, MS 1103
Moscow, ID 83844-1103

Phone: (208) 885-6742

Fax: (208) 885-5843


Web: Department of Mathematics