Associate Professor, Faculty of Mathematics, Kyushu University*Profile is at the time of the award.
2024Inamori Research GrantsScience & Engineering
Recently there has been a huge progress in the study of gaps between prime numbers. It has now been proven that we have a bounded gap between prime numbers and this breakthrough was made by my collaborator D.A. Goldston in his work with J. Pintz and C.Y. Yildirim in late 2000's. Based on that work, explicit bounds have been obtained and we got very close to the truth of the Twin Prime Conjecture, which simply states that there are infinitely many prime numbers of gap 2. This includes the work of Y. Zhang, J. Maynard (a 2022 Fields medalist), and the huge project group Polymath which is led by T. Tao (a 2006 Fields medalist). Goldston and I are digging into this problem further and we are currently working with J. Schettler. Unfortunately, not much progress has been done and we want to sit together and focus on this work. With this grant I am going to visit them in San Jose, California, to work on this problem.
Science & Engineering
