TAKAYUKI OKUDA

Last Updated :2024/05/07

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Associate Professor
E-mail
okudatakhiroshima-u.ac.jp

Basic Information

Academic Degrees

  • Doctor of Philosophy, The University of Tokyo
  • Master, The University of Tokyo

Research Fields

  • Mathematical and physical sciences;Mathematics;Geometry

Educational Activity

Course in Charge

  1. 2024, Undergraduate Education, 4Term, Geometry B
  2. 2024, Undergraduate Education, 4Term, Exercises in Geometry B
  3. 2024, Undergraduate Education, 2Term, Topics in Geometry
  4. 2024, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  5. 2024, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  6. 2024, Graduate Education (Master's Program) , Academic Year, Differential Geometry Seminar
  7. 2024, Graduate Education (Master's Program) , 2Term, Topics in Geometry A
  8. 2024, Graduate Education (Master's Program) , 3Term, Topics in Geometry D
  9. 2024, Graduate Education (Master's Program) , 4Term, Special Lectures in Mathematics
  10. 2024, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
  11. 2024, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  12. 2024, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  13. 2024, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics
  14. 2024, Graduate Education (Doctoral Program) , Academic Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. A commutativity condition for subsets in quandles -- a generalization of antipodal subsets, Differential Geometry and Global Analysis, in Honor of Tadashi Nagano. Contemp. Math., American Mathematical Society 777, 103-125, 202204
  2. Explicit construction of exact unitary designs, Advances in Mathematics, 405(405), 108457-108457, 202208
  3. On the spectrum and linear programming bound for hypergraphs, EUROPEAN JOURNAL OF COMBINATORICS, 104, 202208
  4. Smallest Complex Nilpotent Orbits with Real Points, JOURNAL OF LIE THEORY, 25(2), 507-533, 2015
  5. A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4, EUROPEAN JOURNAL OF COMBINATORICS, 53, 96-103, 201604
  6. Homogeneous space with non-virtually abelian discontinuous groups but without any proper SL(2, R)-action, INTERNATIONAL JOURNAL OF MATHEMATICS, 27(3), 201603
  7. Some remarks on cubature formulas with linear operators, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 68(2), 711-735, 201604
  8. Proper SL(2, R)-actions on homogeneous spaces, INTERNATIONAL JOURNAL OF MATHEMATICS, 27(13), 201612
  9. Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities, JOURNAL OF ALGEBRA, 559, 432-466, 20201001
  10. Quantum Circuits for Exact Unitary t-Designs and Applications to Higher-Order Randomized Benchmarking, PRX QUANTUM, 2(3), 20210903
  11. Non-existence and Construction of Pre-difference Sets, and Equi-Distributed Subsets in Association Schemes, GRAPHS AND COMBINATORICS, 37(5), 1531-1544, 202109