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- The effective abc inequality and how it was applied to a new proof of FLT, talk October 2023
- On new interactions between quantum theories and arithmetic geometry, October 2023
- About the study of IUT and new IUT prizes, August 2023
- Conference in algebraic and arithmetic geometry, Yanqi Lake, July 2023
- Higher adelic approach to the Tate-BSD conjecture, talk July 2023
- Core topics in number theory I (algebraic number theory, class field theory)
- Problems in higher adelic theory, talk April 2023
- Anabelian geometry-IUT-effective abc inequalities-applications, talk March 2023
- Increasing investment in mathematics in changing times, by M. Wakayama and I. Fesenko, Eur. Math. Soc. Mag. 126 (2022) 51–54
- Categories, toposes, anabelian geometry, IUT and quantum computing, 110 minutes talk, Crypto-Math CREST workshop, Tokyo, September 2022
- 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
- Categorical vision for quantum theory, talk May 2022
- Geometries underlying deep properties of numbers (on the IUT theory), video of a talk at Institute of Mathematics, Kyiv
- Higher adelic theory, video of a talk at Como school on Unifying Themes in Geometry, September 2021
- Como School “Unifying themes in Geometry”, September 27-30 2021
- IUT and modern number theory, talk at RIMS workshop on IUT Summit, September 2021
- Four RIMS workshops during special RIMS year Expanding Horizons of Inter-universal Teichmüller Theory, April 2021-March 2022:
- Class field theory, its three main generalisations, and applications, EMS Surveys 8(2021) 107-133
- A prototype decision support tool for handling the COVID-19 UK epidemic, by A. Zhigljavsky, J. Noonan, I. Fesenko, K. Kremnitzer et al, April 2020
- New additional funding of UK mathematics is announced
- Proposal for new additional funding of UK mathematics, July 2019-January 2020
- On advancement of young mathematicians research, talk at the European Math. Society Meeting, March 2019