Archive for the ‘Articles’ Category.

Regularity of Area-Minimizing Surfaces

The proof of the regularity of an area-minimizing surface with a given smooth boundary has had a long and interesting history. Following work of Douglas, Rado, and Osserman, Gulliver [1973, G] proved that a least-area map of a disc into R3 with prescribed boundary is a smooth immersion on the interior. The map need not be an embedding and cannot be if the boundary curve is knotted. The possibility of boundary branch points remains open today. Continue reading ‘Regularity of Area-Minimizing Surfaces’ »

NSF “Division of Mathematical and Statistical Sciences”?

I have heard that the NSF is considering changing the name of the Division of Mathematical Sciences to the Division of Mathematical and Statistical Sciences.

Update 12 October 2012. Today AMS President Eric Friedlander sent the following email to AMS members, IMS President Ruth Williams sent the succeeding email to IMS members, and SIAM President Nick Trefethen sent the third email to SIAM members.

Update 17 October 2012. Today MAA President Paul Zorn sent the final email below to MAA members.

Continue reading ‘NSF “Division of Mathematical and Statistical Sciences”?’ »