Tran, Anh T.
Anh Tran is an Assistant Professor of Mathematics. His research interests are focused on quantum topology and knot theory especially as they relate to the Jones polynomial, skein modules, charactyer varieties, the A-polynomial, the Alexander polynomial, and left-orderability of fundamental groups.
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(2015-07-07)We confirm the AJ conjecture [Ga2] that relates the A-polynomial and the colored Jones polynomial for hyperbolic knots satisfying certain conditions. In particular, we show that the conjecture holds true for some classes ...
(University at Albany, 2015-09-16)We study the behavior of the degree of the colored Jones polynomial and the boundary slopes of knots under the operation of cabling. We show that, under certain hypothesis on this degree, if a knot K satisfies the Slope ...