S. Vasudevan

collaborators

3 papers

math.GT2025

Knot distortion via curve combinatorics

Sahana Vasudevan

Distortion is a geometric knot invariant introduced by Gromov in 1983. Since then, the question of estimating distortion for general knots has remained widely open. In this paper,…

math.DG2025

Twisted embeddings of tori have small extrinsic systole

Sahana Vasudevan

We prove a type of systolic inequality for embeddings of $T^{2}$ in $R^{3}$ . In particular, a highly twisted $T^{2}$ embedded in $R^{3}$ must contain a non-contractible l…

math.DS2014

Ergodicity and Conservativity of products of infinite transformations and their inverses

Julien Clancy, Rina Friedberg, Indraneel Kasmalkar +4

We construct a class of rank-one infinite measure-preserving transformations such that for each transformation $T$ in the class, the cartesian product $T \times T$ of the transforma…