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Name: ISHII Hiroshi

Affiliation: Research Center of Mathematics for Social Creativity, Research Institute for Electronic Science, Hokkaido University

E-mail:hiroshi.ishii [at] es.hokiudai.ac.jp

Keywords: Nonlocal reaction-diffusion equation, Nonlocal effect, Pattern formation problem


Professional Experience

Assistant professor at Hokkaido University 2023 Nov - present

    Working in Laboratory of Mathematical Modeling 

    of Research Center of Mathematics for Social Creativity, Research Institute for Electronic Science

Program-specific researcher at Kyoto University                2022 Apr – 2023 Oct

Worked in the Mathematical Biology and Medicine Laboratory 

of Kyoto University Institute for the Advanced Study of Human Biology (ASHBi)  

Research Fellowships for Young Scientists                            2021 Apr – 2022 Apr

Awarded by Japan Society for the Promotion of Science

Research Assistant of Hokkaido University                          2020 Jul – 2021 Mar

 

Education

Doctor of Science in Mathematics,                                       2020 Apr – 2022 Mar

Hokkaido University, Hokkaido, Japan

Dissertation title: “Spatio and temporal dynamics of solutions for reaction-diffusion equations with nonlocal effect”

Supervisor: Shin-Ichiro Ei, Professor in Hokkaido University

Master of Science in Mathematics                                        2018 Apr – 2020 Mar

Hokkaido University, Hokkaido, Japan

Dissertation title: “Existence of traveling wave solutions to a nonlocal semi-linear equation”

Supervisor: Shin-Ichiro Ei, Professor in Hokkaido University

Bachelor of Science in Mathematics                                        2014 Apr – 2018 Mar

Hokkaido University, Hokkaido, Japan


 

Awards & Grants

Grant-in-Aid for Early-Career Scientists 2023 Apr - 2028 Mar

     The research grant of JPY 3,500,000 was provided.

Grant-in-Aid for JSPS Fellows                                                2021 Apr - 2022 Mar

The research grant of JPY 900,000 was provided.

Distinguished student award                                    2020 Apr

Awarded from the Faculty of Science at Hokkaido University.

Publications

(Preprints)

[9] H. Ishii

“Propagating front solutions in a time-fractional Fisher-KPP equation”

In revision. arXiv: [2311.15651] Propagating front solutions in a time-fractional Fisher-KPP equation (arxiv.org) 


[8] T. Miura, H. Ishii, Y. Hata, H. Takigawa-Imamura, S.-I. Ei, E. Ihara, Y. Ogawa

“A New Mathematical Model of Human Esophageal Motility Function”

In revision.


(Accepted)

[7] H. Ishii

“Asymptotic profiles of zero points of solutions to the heat equation”

Accepted by Proceedings of the Ametican Mathematical Society


[6] Y. Naroda, Y. Endo, K. Yoshimura, H. Ishii, S.-I. Ei and T. Miura

“Noise-induced scaling in skull suture interdigitation model”

PLoS ONE 15(12): e0235802, 14 pages.

https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0235802


[5] S.-I. Ei, H. Ishii

“The motion of weakly interacting localized patterns for reaction-diffusion systems with nonlocal effect”

Discrete and Continuous Dynamical Systems Series B, 26(1), 173-190 (2021).

https://www.aimsciences.org/article/doi/10.3934/dcdsb.2020329


[4] S.-I. Ei, H. Ishii, S. Kondo, T. Miura, Y. Tanaka

“Effective nonlocal kernels on reaction-diffusion networks”

Journal of Theoretical Biology, 509, (2021), 110496, 17pages.

https://www.sciencedirect.com/science/article/pii/S0022519320303519


[3]  S.-I. Ei, H. Ishii, M. Sato, Y. Tanaka, M. Wang, T. Yasugi

“A continuation method for spatially discretized models with nonlocal interactions conserving size and shape of cells and lattices”

Journal of Mathematical Biology, 81, 981-1028 (2020).

https://doi.org/10.1007/s00285-020-01534-6


[2] S. Seirin-Lee, T. Sukekawa, T. Nakahara, H. Ishii, S-I. Ei

“Transitions to slow or fast diffusions provide a general property for in-phase or anti-phase polarity in a cell”

Journal of Mathematical Biology, 80, 1885-1917 (2020).

https://doi.org/10.1007/s00285-020-01484-z


[1] S.-I. Ei, J.-S. Guo, H. Ishii, and C.-C. Wu

“Existence of traveling wave solutions to a nonlocal scalar equation with sign-changing kernel”

Journal of Mathematical Analysis and Applications, 487(2) (2020) 124007, 14 pages.

https://www.sciencedirect.com/science/article/pii/S0022247X20301694

Invited talks