Browsing 2008 MU dissertations  Freely available online by Thesis Advisor "Iosevich, Alex, 1967"
Now showing items 12 of 2

Explorations of geometric combinatorics in vector spaces over finite fields
(University of MissouriColumbia, 2008)We study how large a set of points needs to be in a vector space over a finite field in order for the points to determine all of a certain type of geometric structure. In addition we show that there are key differences ... 
Extension theorems in vector spaces over finite fields
(University of MissouriColumbia, 2008)We study the L[superscript p]  L[superscript r] boundedness of the extension operator associated with algebraic varieties such as nondegenerate quadratic surfaces, paraboloids, and cones in vector spaces over finite fields. ...