Hirotachi Abo

Hirotachi Abo is a Professor and Department Chair in the Department of Mathematics and Statistical Science at the University of Idaho, College of Science. His academic career has focused on algebraic geometry, vector bundles, and tensor analysis.

Education:

• PhD in Mathematics, Saarland University (2002)

Hirotachi Abo's research explores the intersection of algebraic geometry and tensor theory, particularly through the lens of vector bundles and secant varieties. His work investigates the geometric properties of Segre–Veronese varieties, discriminant loci, and eigenconfigurations of tensors.

The analysis of his recent publications reveals a consistent focus on non-defectivity of secant varieties, algebraic structures in projective spaces, and tensor decompositions. These studies often employ advanced methods in algebraic geometry and exterior algebra.