Members
7.Tansilu ALTAY71.Graduate Student (Kotorii Group)
77.Knot theory, Low-dimensional topology, Quandles, Finite n-quandle quotients, Algebraic invariants of knots and links
Affiliations
Hiroshima University, Graduate School of Science and Engineering, Mathematics Program, D1
Bio
Tansilu Altay is a doctoral student in mathematics at Hiroshima University and a researcher affiliated with the International Institute for Sustainability with Knotted Chiral Meta Matter (WPI-SKCM2). Her research focuses on knot theory and low-dimensional topology, especially algebraic invariants of knots and links such as quandles and finite n-quandle quotients. Her current work is based on finite n-quandle quotients of the fundamental quandle and their applications to distinguishing families of knots and links. She is also interested in the relationship between n-quandles and branched coverings of knots and links, as well as possible connections with geometric structures. More broadly, her research explores how computable algebraic quotients can reveal structural features of quandles associated with knots and links and contribute to classification problems in knot theory.
Mentor ：Yuka Kotorii
Co-Mentor ：Louis Kauffman
Co-Mentor ：Andrey Leonov
What I like about my science
What I find interesting is how the fundamental quandle can be approached through finite n-quandle quotients. The fundamental quandle is a powerful invariant of knots and links, containing more information than the corresponding knot or link group, but it is often difficult to study directly. Finite n-quandle quotients make this structure more accessible, since they can be finite for some positive integers n and can be computed explicitly. I enjoy using these quotients to distinguish knots and links, observe patterns, and contribute to classification problems.
Mentor ：Yuka Kotorii
Co-Mentor ：Louis Kauffman
Co-Mentor ：Andrey Leonov
What I like about my science
What I find interesting is how the fundamental quandle can be approached through finite n-quandle quotients. The fundamental quandle is a powerful invariant of knots and links, containing more information than the corresponding knot or link group, but it is often difficult to study directly. Finite n-quandle quotients make this structure more accessible, since they can be finite for some positive integers n and can be computed explicitly. I enjoy using these quotients to distinguish knots and links, observe patterns, and contribute to classification problems.