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Staff Introduction

NUIDA, Koji / Professor

I am "officially" a researcher in cryptography, but have also continuously been a mathematician from the (under)graduate time until the present. It is my policy that the two different viewpoints as "mathematician" and "cryptologist" enable me to do unique researches on cryptography. From my research experience, I have learned that not just specific subjects like number theory and elliptic curves but also several mathematical skills themselves, such as the sensitivity for definitions of notions and rigorousness in giving proofs, are really useful in the study of cryptography.

Focusing on mathematics, my main research interest is in combinatorial group theory, in particular the properties of Coxeter groups (with infinitely many generators, which is in some sense a "transfinite" situation). This research originates from purely mathematical interest, but on the other hand, I am also studying possible applications of combinatorial group theory to cryptography.

Keywords Mathematical Cryptology, Fundamentals of Cryptography, Secure Multiparty Computation, Combinatorial Group Theory, Discrete Mathematics
Faculty , Department Institute of Mathematics for Industry , Laboratory of Mathematical Design for Advanced Cryptography