معرفی
Yasushi Homma is a Professor in the Department of Mathematics at Waseda University's School of Fundamental Science and Engineering. He has held this position since 2012, following his promotion from Associate Professor (2007-2012). His academic career includes research positions at Tokyo University of Science and the Japan Society for the Promotion of Science. Homma earned his Doctor of Science degree from Waseda University, where he completed his doctoral, master's, and undergraduate studies in Mathematical Science.
Homma's research focuses on advanced geometric structures, particularly spin geometry and differential geometry. His work explores spinor fields, Dirac operators, Clifford analysis, and Rarita-Schwinger fields on various manifolds. He investigates Weitzenböck formulas, spectral properties of geometric operators, and their applications to mathematical physics. His research bridges pure mathematics with theoretical physics, examining how geometric structures relate to physical phenomena.
Analysis of his publication record reveals a consistent focus on spin geometry and related fields over two decades. His most recent work examines spinor and tensor fields with higher spin on spaces of constant curvature, spectra of the Rarita-Schwinger operator on symmetric spaces, and harmonic analysis on Grassmannians. The research demonstrates deep connections between representation theory, differential geometry, and mathematical physics, with applications to understanding fundamental geometric structures.
- Waseda University Teaching Awards 2017 Fall Semester
Homma has secured multiple research grants from the Japan Society for the Promotion of Science, including projects on Spin Geometry and Clifford Analysis (2024-2029), New developments in spin geometry (2019-2023), and Study on identities for generalized gradients (2015-2018). His international collaborations include work with researchers from University of Stuttgart, University of Antwerp, and others. He teaches various mathematics courses including Linear Algebra, Geometry B1 (surface theory), Geometry B2 (theory of manifolds), and Advanced Geometry.
As a member of the Mathematical Society of Japan Education Committee and various review committees for the Japan Society for the Promotion of Science, Homma contributes significantly to the mathematical community. His research laboratory at Waseda University focuses on advancing spin geometry with Rarita-Schwinger operators, exploring connections between geometric structures and physical theories.
