Tanaka Hajime

タナカハジメ | Tanaka Hajime

Affiliation and department：
Job title： Professor
Homepage URL (1)： https://hajimetanaka.org/

Research field (3)： Applied mathematics and statistics , Basic mathematics , Algebra

Research keywords (3)： algebraic combinatorics , algebraic graph theory , spectral graph theory

Research theme for competitive and other funds (9)：

2023 - 2026 Developments of research on graphs by representations of noncommutative algebras
2020 - 2023 代数的組合せ論及びその諸分野との連携
2019 - 2023 Quantum probability and asymptotic analysis of large finite systems
2017 - 2020 Development of the algebraic study of graphs
2013 - 2017 A comprehensive study of combinatorial objects by algebraic methods

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Papers (39)：

Jiawei Huang, Akito Iizuka, Hajime Tanaka, Taku Komura, Yoshifumi Kitamura. Online neural path guiding with normalized anisotropic spherical Gaussians. ACM Transactions on Graphics. 2024. 43. 3. 26
Eiichi Bannai, Etsuko Bannai, Chin-Yen Lee, Hajime Tanaka, Wei-Hsuan Yu. The real equiangular tight frames obtained from rank $3$ graphs. The Electronic Journal of Graph Theory and Applications. 2024. 12. 2. 329-341
Hajime Tanaka. Characterizing graphs with fully positive semidefinite $Q$-matrices. Linear Algebra and its Applications. 2023. 671. 59-66
Hajime Tanaka, Mohamed Sabri, Renato Portugal. Spatial search on Johnson graphs by discrete-time quantum walk. Journal of Physics A: Mathematical and Theoretical. 2022. 55. 25. 255304
Eiichi Bannai, Etsuko Bannai, Hajime Tanaka, Yan Zhu. Tight relative $t$-designs on two shells in hypercubes, and Hahn and Hermite polynomials. Ars Mathematica Contemporanea. 2022. 22. 2. #P2.01

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Lectures and oral presentations (69)：

Quantum-walk-based search algorithms on Johnson graphs
(The 2nd International Conference on Graph Theory and Combinatorics (ICGTC2024) 2024)
The element distinctness problem revisited
(10th International Congress on Industrial and Applied Mathematics (ICIAM 2023 TOKYO) 2023)
Characterizing graphs with fully positive semidefinite $Q$-matrices
(RIMS Symposium (open), "Research on finite groups, algebraic combinatorics, and vertex algebras" 2022)
Scaling limits for the Gibbs states on distance-regular graphs with classical parameters
(The 19th Workshop: Noncommutative Probability, Noncommutative Harmonic Analysis and Related Topics, with Applications 2022)
量子ウォークに基づく Johnson グラフ上の探索アルゴリズム
(代数学の広がり 2022)

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Education (3)：

Professional career (1)：

Work history (9)：

2024/04 - 現在 Tohoku University Graduate School of Information Sciences Professor
2012/08 - 2024/03 Tohoku University Graduate School of Information Sciences Associate Professor
2007/10 - 2012/07 Tohoku University Graduate School of Information Sciences Assistant Professor
2010/03 - 2011/03 University of Wisconsin-Madison Department of Mathematics Honorary Fellow
2007/04 - 2007/09 Worcester Polytechnic Institute Department of Mathematical Sciences Affiliate Assistant Professor & JSPS Fellow for Research Abroad

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Association Membership(s) (2)：

The Institute of Combinatorics and its Applications , The Mathematical Society of Japan

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