Shu Kanazawa | 金澤秀

I am a Postdoctoral Research Assistant in the School of Mathematical Sciences at Queen Mary University of London, where I work with Prof. Omer Bobrowski. Previously, I was a Program-Specific Researcher at the Kyoto University Institute for Advanced Study, working with Prof. Yasuaki Hiraoka. I also had the opportunity to join Prof. Matthew Kahle's group at The Ohio State University as a research scholar.

Research Interests: stochastic topology, with particular interests in persistent homology and phase transitions in random topology

Publications

Preprint

Sharp Phase Transition for the Formation of Infinite Tubes

Shu Kanazawa, Omer Bobrowski, and Primoz Skraba, 2026, arXiv:2605.14910. [arXiv]

Published papers

Maximum persistent Betti numbers of Čech complexes

Herbert Edelsbrunner, Matthew Kahle, and Shu Kanazawa, J. Appl. and Comput. Topol. 10 (2026), no. 5. [arXiv] [journal]

Curse of Dimensionality on Persistence Diagrams

Enhao Liu, Yasuaki Hiraoka, Yusuke Imoto, and Shu Kanazawa, Found. Data Sci. 8 (2026), 236–286. [arXiv] [journal]

Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes

Shu Kanazawa and Khanh Duy Trinh, Random Structures Algorithms 66 (2025), no. 1, Paper No. e21257, 42 pp. [arXiv] [journal]

Normal approximation for statistics of randomly weighted complexes

Shu Kanazawa, Khanh Duy Trinh, and D. Yogeshwaran, Electron. J. Probab. 29 (2024), Paper No. 139, 30 pp. [arXiv] [journal]

Large deviation principle for persistence diagrams of random cubical filtrations

Shu Kanazawa, Yasuaki Hiraoka, Jun Miyanaga, and Kenkichi Tsunoda, J. Appl. and Comput. Topol. 8 (2024), no. 6, 1649–1700. [arXiv] [journal]

Girth, magnitude homology and phase transition of diagonality

Yasuhiko Asao, Yasuaki Hiraoka, and Shu Kanazawa, Proc. Roy. Soc. Edinburgh Sect. A 154 (2024), no. 1, 221–247. [arXiv] [journal]

Law of large numbers for Betti numbers of homogeneous and spatially independent random simplicial complexes

Shu Kanazawa, Random Structures Algorithms 60 (2022), no. 1, 68–105. [arXiv] [journal]

Asymptotic behavior of lifetime sums for random simplicial complex processes

Masanori Hino and Shu Kanazawa, J. Math. Soc. Japan 71 (2019), no. 3, 765–804. [arXiv] [journal]

Other publications

[In Japanese] Shu Kanazawa, ランダム単体複体のBetti数の収束について, 第11回白浜研究集会報告集 (2020), 40–46.
Shu Kanazawa, Topology of random simplicial complexes and lifetimes of persistent homology, PhD thesis, Tohoku University, 2020.

Talks

Upcoming

Past

Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes, Applied Topology Seminar, Applied Algebraic Topology Research Network (Online), December 17, 2025.
Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes, RIMS Symposium "Random geometry and topology and related topics", Research Institute for Mathematical Sciences (RIMS), September 29, 2025.
[In Japanese] Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes, 東京確率論セミナー, 東京大学, 2024年12月16日.
[In Japanese] Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes, 九州確率論セミナー, 九州大学, 2024年11月29日.
[In Japanese] Large deviation principle for persistence diagrams of random cubical filtrations, 日本数学会2024年度秋季総合分科会, 大阪大学, 2024年9月6日.
Large deviation principle for persistence diagrams of random cubical filtrations, The 7th Joint Conference of A3 Foresight Program on Computational and Applied Mathematics, Wuhan University, August 30, 2024.
Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes, Kyoto Hiraoka Laboratory Seminar, Kyoto University, April 18, 2024.
Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes, Combinatorics and Probability Seminar, The Ohio State University, October 5, 2023.
Large deviation principle for persistence diagrams, TDA week 2023, Kyoto University, August 3, 2023.
Limit theorems for eigenvalue statistics of the adjacency matrices of random simplicial complexes, TAGGS seminar, The Ohio State University, April 21, 2023.
Large deviation principle for persistence diagrams of random cubical filtrations, Analysis and Applications Seminar, Florida Atlantic University, March 30, 2023.
Large deviation principle for persistence diagrams of random cubical filtrations, Randomness in Topology and its Applications, Institute for Mathematical and Statistical Innovation, March 22, 2023.
Large deviation principle for persistence diagrams of random cubical filtrations, Topology, Geometry, and Data Analysis Seminar, The Ohio State University, January 17, 2023.
Large deviation principle for persistence diagrams of random cubical filtrations, TAGGS seminar, The Ohio State University, December 2, 2022.
[In Japanese] A limit theorem for Betti numbers of random simplicial complexes, エクスパンダーグラフの構成手法の確立とその応用, オンライン, 2022年8月22-26日.
Large deviation principle for persistence diagrams of random cubical filtrations, Dynamics, Topology and Computations, Mathematical Research and Conference Center, Będlewo, Poland, June 19-25, 2022.
[In Japanese] On the large deviation principle for persistence diagrams of random cubical filtration, 数学と諸分野の連携にむけた若手数学者交流会2022, オンライン, 2022年3月7-8日.
On the large deviation principle for persistence diagrams of random cubical filtration, TDA Week, Online, February 14-18, 2022.
On the large deviation principle for persistence diagrams of random cubical filtration, Discrete Geometric Analysis and its Applications, Online, January 7-9, 2022.
[In Japanese] Girth, magnitude homology, and phase transition of diagonality, CREST TDAミーティング, オンライン, 2021年2月16日.
[In Japanese] Law of large numbers for Betti numbers of random simplicial complexes, 日本数学会2020年度秋季総合分科会, オンライン, 2020年9月24日.
Law of large numbers for Betti numbers of homogeneous and spatially independent random simplicial complexes, Asia Pacific Seminar on Applied Topology and Geometry, Online, August 21, 2020.
A limit theorem for Betti numbers of homogeneous and spatially independent random simplicial complexes, Algebraic Topology: Methods, Computation, and Science, Online, July 7, 2020.
[In Japanese] Topological phase transitions in random simplicial complexes, 関西確率論セミナー, オンライン, 2020年5月29日.
[In Japanese] A limit theorem for Betti numbers of homogeneous and spatially independent random simplicial complexes, 2019年度確率論シンポジウム, 慶応義塾大学, 2019年12月16-19日.
[In Japanese] ランダム単体複体のBetti数の収束について, 第11回白浜研究集会, 紀州・白浜温泉旅館むさし, 2019年12月9-12日.
[In Japanese] Some phase transitions in random simplicial complexes, トポロジカルデータ解析研究集会, 弘前大学, 2019年6月19-21日.
[In Japanese] Local contributions to Betti numbers in random simplicial complexes, 数学パワーが世界を変える2019, 東京ガーデンパレス, 2019年3月10-11日.
Local structures of random simplicial complexes, TAGGS seminar, The Ohio State University, March 1, 2019.
[In Japanese] Lifetime distributions of holes in random complex processes, 情報系 WINTER FESTA Episode4, 学術総合センター内一橋講堂, 2018年12月25-26日.
[In Japanese] ランダム単体複体の収束と不変量の連続性に関して, 応用数学フレッシュマンセミナー2018, 京都大学, 2018年11月13日.
Asymptotic behavior of lifetime sums for random simplicial complex processes, The 5th Joint Workshop of A3 Foresight Program ''Mathematics of Biology, Fluid Dynamic and Material Sciences'', Lakai Sandpine Hotel, Gangneung, S. Korea, October 18-20, 2018.
Asymptotic behavior of lifetime sums for random simplicial complex processes, Applied Geometry & Topology, Kyoto University, July 24-25, 2018.
Asymptotic behavior of lifetime sums for random simplicial complex processes, The 40th Conference on Stochastic Processes and their Applications International Conference, Chalmers Conference Centre, Gothenburg, Sweden, June 11-15, 2018.
[In Japanese] Asymptotic behavior of lifetime sums for random simplicial complex processes, 日本数学会2018年度年会, 東京大学, 2018年3月18-21日.
[In Japanese] パーシステントホモロジーに基づくFriezeのζ(3)-極限定理の高次元への一般化, 2017年度応用数学合同研究集会, 龍谷大学, 2017年12月14-16日.
[In Japanese] Asymptotic behavior of lifetime sums for random simplicial complex processes, 2017年度確率論シンポジウム, 東北大学, 2017年12月11-15日.
Asymptotic behavior of lifetime sums of Betti numbers for random simplicial complex processes, Combinatorics Seminar, The Ohio State University, November 16, 2017.
[In Japanese] ランダム単体複体過程とパーシステントホモロジー, 応用数学フレッシュマンセミナー2017, 京都大学, 2017年11月11日.
[In Japanese] Asymptotic behavior of lifetime sums for random simplicial complex processes, 東北大学幾何セミナー, 東北大学, 2017年11月7日.
The law of large numbers of the lifetime in random complex processes, Applied Algebraic Topology 2017, Hokkaido University, Sapporo, Japan, August 8-12, 2017.
[In Japanese] Asymptotic behavior of the lifetime sum in random complex processes, 関西確率論セミナー, 京都大学, 2017年7月21日.
[In Japanese] Clique複体過程の生存時間和について, 東北確率論セミナー, 東北大学, 2017年5月19日.
[In Japanese] ランダム複体におけるBetti数評価とパーシステントホモロジーの生存時間, 確率論早春セミナー2017, 大阪市立大学, 2017年3月8-9日.

Address: Mile End Road, London E1 4NS, United Kingdom

Email: s.kanazawa[at]qmul.ac.uk

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