obtained during my first two years of ph.d. study and I
will present some of the main ideas I have used. All my work
so far has been about data structures for orthogonal range
searching in the RAM model of computation. One of the
problems I will consider in the talk is how to fully-dynamicaly
maintain a set of points in the plane such that given a query rectangle
(with sides parrallel to the coordinate axises) the points inside the
rectangle can be reported. I will sketch how this can be done using
time O(log n) per operation.