TAKAYUKI OKUDA

Last Updated :2026/06/15

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. 2026, Undergraduate Education, 3Term, Fundamental Concepts of Mathematics II
  2. 2026, Undergraduate Education, 4Term, Geometry B
  3. 2026, Undergraduate Education, 4Term, Exercises in Geometry B
  4. 2026, Undergraduate Education, 2Term, Topics in Geometry
  5. 2026, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  6. 2026, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  7. 2026, Graduate Education (Master's Program) , Year, Differential Geometry Seminar
  8. 2026, Graduate Education (Master's Program) , 2Term, Topics in Geometry A
  9. 2026, Graduate Education (Master's Program) , Year, Exercises in Mathematics
  10. 2026, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  11. 2026, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  12. 2026, Graduate Education (Master's Program) , Year, Seminar in Mathematics
  13. 2026, Graduate Education (Doctoral Program) , Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. Some Remarks on Real Minimal Nilpotent Orbits and Symmetric Pairs, Springer Proceedings in Mathematics and Statistics, 249-259, 202604
  2. The Intersection of Two Real Flag Manifolds in a Complex Flag Manifold, Transformation Groups, 202602
  3. On Invariant Conjugate Symmetric Statistical Structures on the Space of Zero-Mean Multivariate Normal Distributions, Geometric Science of Information, Lecture Notes in Computer Science, 202510
  4. A characterization of proper actions on homogeneous spaces with non-compact isotropy groups from a viewpoint of coarse geometry, Proceedings of the Japan Academy, Ser. A Mathematical Sciences, 101(6), 31-36, 202506
  5. The moduli spaces of left-invariant statistical structures on Lie groups, INFORMATION GEOMETRY, 9(1), 235-278, 202606
    Link to Paper Search Results by DOI
  6. Zariski dense discontinuous surface groups for reductive symmetric spaces, Progress in Mathematics, Symmetry in Geometry and Analysis, Volume 1 Festschrift in Honor of Toshiyuki Kobayashi, 1, 321-354, 202502
  7. A proof of Kobayashi's properness criterion from a viewpoint of metric geometry, Progress in Mathematics, Symmetry in Geometry and Analysis, Volume 1 Festschrift in Honor of Toshiyuki Kobayashi, 1, 377-406, 202502
  8. Approximation of integration over finite groups, difference sets and association schemes, JOURNAL OF ALGEBRAIC COMBINATORICS, 58(1), 113-135, 202308
    Link to Paper Search Results by DOI
  9. ★, Explicit construction of exact unitary designs, ADVANCES IN MATHEMATICS, 405, 20220827
    Link to Paper Search Results by DOI
  10. 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
    Link to Paper Search Results by DOI
  11. On the spectrum and linear programming bound for hypergraphs, EUROPEAN JOURNAL OF COMBINATORICS, 104, 202208
    Link to Paper Search Results by DOI
  12. Quantum Circuits for Exact Unitary t-Designs and Applications to Higher-Order Randomized Benchmarking, PRX QUANTUM, 2(3), 20210903
    Link to Paper Search Results by DOI
  13. Non-existence and Construction of Pre-difference Sets, and Equi-Distributed Subsets in Association Schemes, GRAPHS AND COMBINATORICS, 37(5), 1531-1544, 202109
    Link to Paper Search Results by DOI
  14. Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities, JOURNAL OF ALGEBRA, 559, 432-466, 20201001
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  15. 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
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  16. Homogeneous space with non-virtually abelian discontinuous groups but without any proper SL(2, R)-action, INTERNATIONAL JOURNAL OF MATHEMATICS, 27(3), 201603
    Link to Paper Search Results by DOI
  17. Some remarks on cubature formulas with linear operators, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 68(2), 711-735, 201604
    Link to Paper Search Results by DOI
  18. Proper SL(2, R)-actions on homogeneous spaces, INTERNATIONAL JOURNAL OF MATHEMATICS, 27(13), 201612
    Link to Paper Search Results by DOI
  19. Smallest Complex Nilpotent Orbits with Real Points, JOURNAL OF LIE THEORY, 25(2), 507-533, 2015
  20. ★, Classification of semisimple symmetric spaces with proper SL(2, R)-actions, Journal of Differential Geometry, 94(2), 301-342, 2013
  21. Proper actions of SL(2, R) on semisimple symmetric spaces, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 87(3), 35-39, 2011

Invited Lecture, Oral Presentation, Poster Presentation

  1. Designs for operators, Takayuki Okuda, 2026/06/12, With Invitation, Japanese
  2. Discontinuous groups for non-Riemannian homogeneous spaces and coarse geometry, Takayuki Okuda, 2025/11/17, With Invitation, Japanese
  3. Construction of Designs on Compact Homogeneous Spaces via Integration Decomposition, Takayuki Okuda, 2025/10/31, With Invitation, Japanese
  4. Coding theory on coarse geometry, Takayuki Okuda, 2025/10/29, With Invitation, Japanese
  5. A categorical framwork on coarse geometry, Takayuki Okuda, The 10th China-Japan Geometry Conference, 2025/09/23, Without Invitation, English
  6. Coarse coding theory and coarse equivalence, Takayuki Okuda, 2025/06/19, With Invitation, Japanese
  7. Coarse coding theory and discontinuous groups for homogeneous spaces, Takayuki Okuda, 2025/06/12, With Invitation, Japanese
  8. Coarse coding theory and discontinuous groups on homogeneous spaces, Takayuki Okuda, 2025/04/22, With Invitation, Japanese
  9. Coarse coding theory and discontinuous groups on homogeneous spaces, Takayuki Okuda, The 8th workshop, ``Complex Geometry and Lie groups'', 2025/03/13, With Invitation, English
  10. Coarse coding theory and proper actions on homogeneous spaces, Takayuki Okuda, RIMS Joint Research (Type A): "Group Theory in Relation to Operator Algebras and Their Interplay", 2025/01/22, With Invitation, Japanese
  11. Coarse Coding Theory and Discontinuous Groups, Takayuki Okuda, New Methods for Constructing Expander Graphs and Their Applications III, 2024/09/10, Without Invitation, Japanese, Kyushu University
  12. Coding theory and discontinuous groups for homogeneous spaces, Takayuki Okuda, Chitose Workshop on Geometry, 2024/08/05, With Invitation, Japanese, Chitose Institute of Science and Technology
  13. Coarse coding theory, Takayuki Okuda, International Workshop on Sets, Designs, and Graphs, 2024/07/21, With Invitation, English, Shimane University
  14. Totally geodesic immersions of direct products of 2-spheres in compact symmetric spaces, Takayuki Okuda, The 18th OCAMI-RIRCM Joint Differential Geometry Workshop on "Differential Geometry of Submanifolds in Symmetric Spaces and Related Problems", 2020, With Invitation, English, Osaka City University
  15. Delsarte's theory on coherent configurations, Takayuki Okuda, Sendai Workshop on Combinatorics, 2019, With Invitation, English, Tohoku University
  16. Totally geodesic immersions of direct products of two-spheres in compact symmetric spaces, Takayuki Okuda, Geometry of symmetric spaces and group actions, 2022, With Invitation, English, online
  17. Proper actions and coding theory on homogeneous spaces, Takayuki Okuda, JCCA 2023 (https://sites.google.com/view/jcca-dmia-2023/), 2023, With Invitation, Japanese, Aichi University of Education
  18. Representation theory and combinatorics on compact homogeneous spaces, Takayuki Okuda, Branched Coverings, Degenerations, and Related Topics, 2022, With Invitation, English, online
  19. Coarse geometry and Kobayashi's properness criterion, Takayuki Okuda, The 8th China-Japan Geometry conference (http://www.math.gxnu.edu.cn/2023/0811/c665a273015/page.htm), 2023, With Invitation, English, Guilin (China)
  20. Kobayashi's properness criterion and Coarse geometry, Takayuki Okuda, 7th Tunisian-Japanese Conference, Geometric and Harmonic Analysis on Homogeneous Spaces and Applications, in Honor of Professor Toshiyuki Kobayashi (https://sites.google.com/view/tunisian-japanese-conference/home/2023-7th), 2023, With Invitation, English, Monastir in Tunisia

External Funds

Acceptance Results of Competitive Funds

  1. KAKENHI, 2024, 2029
  2. KAKENHI, 2016, 2019
  3. KAKENHI(Grant-in-Aid for Early-Career Scientists), 2020, 2023