I have a couple of different interests.  One is functional analysis, specifically locally convex spaces.  Locally convex spaces were first developed in the mid 1900s by people such as John von Neumann.   The theory gained significant importance in the 1950s when French mathematician Laurent Schwartz (1915-2002) gave a rigorous mathematical description of distributions.   Schwartz won a Field's Medal for his work.  The Field's Medal is the mathematical equivalent to a Nobel Prize.  In his endeavor, Schwartz carefully studied locally convex spaces and this area of mathematics continues to be active today.  What I study are mainly properties of different kinds of spaces that arise from porperties of bounded sets in locally convex spaces.  The mathematician who first set down many of the main results on such bounded sets is George W. Mackey.  For more information on these topics, especially from an historical point of view, see the History of Mathematics Archive, or my links page.



        A totally different interest of mine is what is cultural mathematics, also known as  ethnomathematics.  It is the study of the mathematics from a cultural point of view. One of the groups I have studied is the Incas of South America.  Another group I have studied is the Otomíes of central Mexico.  For more information about ethnomathematics, see the ISGEm page, the NASGEm page,  or my links page.