New England Researcher Finds Her Bliss
By Rob Knies, Managing Editor, Microsoft Research Even now, almost a year after joining Microsoft Research New England, Yael Tauman Kalai can hardly believe her good fortune. “Really, really awesome,” enthuses Kalai, 34, about her…
(4,4)-split Jacobians of curves of genus 2
Curves of genus 2 have an associated abelian surface, their jacobian. One can classify genus 2 curves according to special properties of their jacobians. For instance, a jacobian can be split: isogenous to a product…
Advances in the CM method for elliptic curves
The complex multiplication method (CM method) builds an algebraic curve over a given finite field GF(q) and having an easily computable cardinality. Used at first for elliptic curves, this method is one of the building…