معرفی
Manabu Ozaki is a Professor at the School of Fundamental Science and Engineering, Faculty of Science and Engineering, Waseda University, specializing in algebraic number theory with a focus on non-abelian extensions of classical Iwasawa theory.
He earned his Doctor of Science degree from Waseda University, establishing the foundation for his distinguished career in number theory.
- Doctor of Science (Waseda University)
Professor Ozaki's research centers on the deep connections between algebraic structures and number-theoretic phenomena, particularly in non-abelian Iwasawa theory, Galois groups with restricted ramification, and the construction of field extensions with prescribed properties. His work bridges abstract algebra with concrete number-theoretic problems, advancing our understanding of Z_p-extensions, Iwasawa invariants, and class field theory.
His publication record reveals a consistent progression toward more sophisticated non-abelian generalizations of classical results. A significant trend in his research involves developing frameworks to characterize arithmetical equivalence of number fields through Galois-theoretic methods and exploring the structure of maximal unramified p-extensions.
- Japan Society for the Promotion of Science Grant: "New developments in non-abelian Iwasawa theory" (2019-2022)
- Japan Society for the Promotion of Science Grant: "Iwasawa theoretic approach to the absolute Galois groups of number fields" (2016-2019)
- Japan Society for the Promotion of Science Grant: "Non-abelian extensions of number fields with restricted ramification" (2013-2016)
At Waseda University, Professor Ozaki teaches core mathematics courses including Algebra, Number Theory, and specialized graduate seminars on Algebraic Number Theory, mentoring the next generation of mathematicians while advancing the frontiers of his field.
