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- Essential Algebraic Number Theory, World Sci. Publ. 2026, 284pp.; the simplest presentation of class field theory included
- Selective integration on higher adeles and the Euler characteristic of surfaces, by W. Czerniawska and I. Fesenko, Chebyshevskii sbornik, vol. 26(2025), no. 4, 183–210
- On new interactions between quantum theories and arithmetic geometry, In T. Takagi et al. (eds.), Mathematical foundations for post-quantum cryptography, Mathematics for Industry 40 (2025) 3-14, Springer
- From two Grothendieck’s math legacies to quantum computing and deep neural networks, talk July 2024
- Higher adelic approach to the Tate-BSD conjecture, talk July 2023
- Open problems in higher adelic theory, talk April 2023
- Explicit estimates in inter-universal Teichmüller theory, by S. Mochizuki, I. Fesenko, Y. Hoshi, A. Minamide, W. Porowski, Kodai Math. J. 45(2022) 175-236
- Higher adelic theory, video of a talk at Como school on Unifying themes in Geometry, September 2021
- Como School “Unifying themes in Geometry”, September 2021
- Class field theory, its three main generalisations, and applications, EMS Surveys 8(2021) 107-133