The graph of a curve is a familiar construction in the real plane; the analogous construction for complex valued functions of a complex variable is a “curve” that is a 2-dimensional set in a 4-dimensional space. Such curves, aside from a few singularities, locally look just like pieces of the complex plane, so it is possible to carry out complex analysis on such “curves”, just as for the complex plane; but the global geometry introduces a rich and fascinating structure on these sets, called Riemann surfaces (following the work of B. Riemann).
The math department is sponsoring a math grad school info session tomorrow (Sunday) 3:00-4:30 pm in the Fine 3rd floor common room. It’ll be a pretty informal setup: We’ll have some grad students and current seniors and Prof. Serrano (who is on … Continue reading →
Hey Nullset! So we haven’t hung out in a while. That makes me pretty sad. I think I’m having board game deficiency syndrome. The symptoms highly resemble those that you get when you haven’t had coffee for a while, so I’m … Continue reading →
When are how can we compute approximate solutions to NP-hard problems? Fine 214 Wenesday Nov.6th 6:00pm In the 1970s it was discovered that many computational problems in a variety of disciplines are NP-complete: they do not have efficient algorithms if … Continue reading →