Currently, I am a fifth year Ph.D. student in the Department of Mathematical Sciences at the University of Delaware. Under the advisement of Professor John A. Pelesko, I work on the mathematical theory of electro-capillary surfaces. For a brief synopsis on what this entails see right. For a more detailed description click here.
Before coming to Delaware, I studied at Millersville University of Pennsylvania. There I obtained a B.Sc. in mathematics (with a focus in applied math) in May 2008. Since the fall of 2008, I have been at the University of Delaware. A copy of my CV can be found here.
My mathematical interests lie in the mathematical theory of capillary surfaces. In particular, I study how external forces, such as gravity and electrostatic forces, effect the shape of liquid-vapor interfaces (e.g. soap bubbles). These problems involve energy minimization and often result in investigating the behavior of surfaces with prescribed mean curvature. To do this, I use mathematical techniques from differential geometry, partial differential equations and applied analysis.
In addition to their rich mathematical content, these problems also have applications to micro-electromechanical systems and self assembly.
Nicholas D. Brubaker
111 Ewing Hall
Dept. of Mathematical Sciences
University of Delaware
Newark, Delaware 19716
Email: brubaker@math.udel.edu
Phone: 302–831–6516
Fax: 302–831–4511