Academic Staff and Fellows

In Dae JONG
Lecturer Doctor of Science
Department/Science  Graduate school/Science

Research is conducted into knot theory and low-dimension topology (3D and 4D). To investigate knots mathematically, often the invariants of knots are used. Research takes an interest in the relation between the algebraic properties of invariants and the geometrical properties of knots.

A knot used in a study on Dehn surgery

Research Area Knot Theory
Research Interests Study on a 3-manifold via Dehn surgery
Relationship between a geometric property of a knot and an algebraic property of its invariant
Selected Publications (1) Infinitely many knots admitting the same integer surgery and a 4-dimensional extension, T. Abe, I. D. Jong, J. Luecke, J. Osoinach, Int. Math. Res. Notices, 22 (2015), 11667--11693. 
(2) Cyclic and finite surgeries on Montesinos knots, K. Ichihara, I. D. Jong, Algebr. Geom. Topol. 9 (2009), no. 2, 731--742.
(3) Alexander polynomials of alternating knots of genus two, I. D. Jong, Osaka J. Math. 46 (2009), no. 2, 353--371.
Affiliated Academic Societies The Mathematical Society of Japan
Education
(Undergraduate Course)
Ritsumeikan University
Education
(Master's/Doctral Course)
Osaka City University
Title of Thesis, Institute, Date Alexander polynomials of alternating knots,Osaka City University,2010/3

Knot Theory Laboratory

Academic Staff and Fellows