The Volterra series is a model for non-linear behavior similar to the Taylor series. It differs from the Taylor series in its ability to capture "memory" effects. The Taylor series can be used for approximating the response of a nonlinear system to a given input if the output of this system depends strictly on the input at that particular time. In the Volterra series the output of the nonlinear system depends on the input to the system at all other times. This provides the ability to capture the "memory" effect of devices like capacitors and inductors.
Wikipedia: The encyclopedia where original research by a PhD in the field can not be cited, but a blog post written by an unpaid intern for Wired can be cited.
Another one that I am more reserved about is AI. I don't think AI is a bad area of study by itself, but I do fear silly leaders putting decision making into the hands of computers and those computers making very reasonable sounding really stupid decisions with incredible speed.
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