Shinichi Mochizuki

"One fundamental and frequently discussed theme in the further development of is the issue of increasing the number of professional mathematicians who have a solid, technically accurate understanding of the details of inter-universal Teichmüller theory. ... in order to achieve such a solid, technically accurate understanding of the theory, it is necessary to devote a substantial amount of time and effort over a period of roughly half a year to two or three years, depending on various factors. It also requires the participation of professional mathematicians or graduate students who are • sufficiently familiar with numerous more classical theories in ... • sufficiently well motivated and enthusiastic about studying inter-universal Teichmüller theory, and • sufficiently mathematically talented, and who have a • sufficient amount of time to devote to studying the theory."