Doctor of Science, Keio University

Mathematical analysis, Aperiodic order

2021 - 2023
School of Genaral Education, Shinshu University, assistant professor

2019 - 2021
Post-doctoral research associate The Open University

2017 - 2019
postdoc, The University of Leoben

2017 - 2017
Shibaura Institute of Technology

2010, Keio University, Department of Mathematics

2012, Keio University, School of Fundamental Science and Technology

Monochromatic arithmetic progressions in automatic sequences with group structure
I. Aedo, U. Grimm, N. Manibo, Y. Nagai, P. Staynova
Journal of Combinatorial Theory, Series A, 203, 2024, Refereed

Monochromatic arithmetic progressions in binary Thue-Morse-like words
I. Aedo, U Grimm, Y. Nagai and P.Staynova
Theoretical Computer Science, 934, 65-80, 2022, Refereed

On arithmetic progressions in non-periodic self-affine tilings
Yasushi Nagai, Shigeki Akiyama, Jeong-Yup Lee
Ergodic Theory and Dynamical Systems, 2022, Refereed

Absence of absolutely continuous diffraction spectrum for certain S-adic tilings
Yasushi Nagai
Nonlinearity, 34, 2021, Refereed
Lead

A general framework for tilings, Delone sets, functions and measures, and their interrelation
Yasushi Nagai
Discrete and Computational Geometry, 62(2), 241-291, 2019, Refereed

Cut-and-Project Schemes for Pisot Family Substitution Tilings
J-Y. Lee, S. Akiyama and Y. Nagai
Symmetry, 2018, Refereed

Distribution of patches in tilings, tiling spaces and tiling dynamical systems
Yasushi Nagai
数理解析研究所講究録別冊, 2016

Distribution of patches in tilings and spectral properties of corresponding dynamical systems
Yasushi Nagai
Nonlinearity, 2015, Refereed

Overlap coincidences for general S-adic tilings and Pisot substitution conjecture for binary case
Yasushi Nagai
Kick off meeting of the ANR/FWF Project SYMDYNAR, Sep. 2024

Overlap algorithm for general S-adic tilings
Yasushi Nagai
Number theory and ergodic theory, Feb. 2024

Overlap algorithm for general S-adic tilings
Yasushi Nagai
One world numeration seminar, Dec. 2023, Invited

Overlap coincidences for general S-adic tilings
Yasushi Nagai
Recent Progress in Ergodic Theory,, Oct. 2023, Invited

On the lengths of arithmetic progressions in some substitutive words
Yasushi Nagai
Mathematics of tilings and quasiperiodic systems, Nov. 2022

The overlapping substitutions
Yasushi Nagai
Arithmetic and Spectral Structures in Aperiodic Order, Sep. 2022

Singular diffraction spectrum for certain mixture of Rudin-Shapiro type substitutions
Yasushi Nagai
Pure Mathematics Colloquium, The Open University, Sep. 2022, Invited

Absence of absolutely continuous diffraction spectrum for certain S-adic tilings
Yasushi Nagai
Mathematics of quasiperiodic order and related topics, Nov. 2021

Arithmetic progressions, limit-periodicity and pure discrete dynamical spectra for self-similar tilings
Yasushi Nagai
Foliated spaces, tilings and group actions, Apr. 2021, Invited

Consequences of properties of the dynamical systems associated to objects such as tilings and Delone sets
Yasushi Nagai
Model Sets and Aperiodic Order, Sep. 2018, Invited

The role of almost periodicity in mathematical diffraction
Yasushi Nagai
The Seminar of Young Mathematicians in Bielefeld (open lectures), Jul. 2018, Invited

Correspondences between geometric and dynamical properties of tilings and Delone sets
Yasushi Nagai
Mini-Workshop on Diffraction Measures of Aperiodic Structures, Jun. 2018

A construction of almost-periodic Delone sets
Yasushi Nagai
Dynamical systems seminar, May 2018, Invited

A generalization of local derivability and its consequences
Yasushi Nagai
Tiling and recurrence, Dec. 2017

日本数学会

S進タイル張りの絶対連続回折・力学系スペクトルの研究
科学研究費補助金, 若手研究
2023 - 2026