広島大学

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, Undergraduate Education, 4Term, Geometry and Analysis on homogeneous spaces
7. 2024, Graduate Education (Master's Program) , Academic Year, Differential Geometry Seminar
8. 2024, Graduate Education (Master's Program) , 2Term, Topics in Geometry A
9. 2024, Graduate Education (Master's Program) , 3Term, Topics in Geometry D
10. 2024, Graduate Education (Master's Program) , 4Term, Geometry and Analysis on homogeneous spaces
11. 2024, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
12. 2024, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
13. 2024, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
14. 2024, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics
15. 2024, Graduate Education (Doctoral Program) , Academic Year, Seminar in Mathematics

Research Activities

Academic Papers

1. 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
2. ★, Explicit construction of exact unitary designs, ADVANCES IN MATHEMATICS, 405, 20220827
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3. 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
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4. On the spectrum and linear programming bound for hypergraphs, EUROPEAN JOURNAL OF COMBINATORICS, 104, 202208
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5. Quantum Circuits for Exact Unitary t-Designs and Applications to Higher-Order Randomized Benchmarking, PRX QUANTUM, 2(3), 20210903
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6. Non-existence and Construction of Pre-difference Sets, and Equi-Distributed Subsets in Association Schemes, GRAPHS AND COMBINATORICS, 37(5), 1531-1544, 202109
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7. Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities, JOURNAL OF ALGEBRA, 559, 432-466, 20201001
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8. 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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9. Homogeneous space with non-virtually abelian discontinuous groups but without any proper SL(2, R)-action, INTERNATIONAL JOURNAL OF MATHEMATICS, 27(3), 201603
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10. Some remarks on cubature formulas with linear operators, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 68(2), 711-735, 201604
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11. Proper SL(2, R)-actions on homogeneous spaces, INTERNATIONAL JOURNAL OF MATHEMATICS, 27(13), 201612
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12. Smallest Complex Nilpotent Orbits with Real Points, JOURNAL OF LIE THEORY, 25(2), 507-533, 2015
13. ★, Classification of semisimple symmetric spaces with proper SL(2, R)-actions, Journal of Differential Geometry, 94(2), 301-342, 2013
14. 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. 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
2. Delsarte's theory on coherent configurations, Takayuki Okuda, Sendai Workshop on Combinatorics, 2019, With Invitation, English, Tohoku University
3. 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
4. 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
5. Representation theory and combinatorics on compact homogeneous spaces, Takayuki Okuda, Branched Coverings, Degenerations, and Related Topics, 2022, With Invitation, English, online
6. 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)
7. 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, 2016, 2019
2. KAKENHI(Grant-in-Aid for Early-Career Scientists), 2020, 2023