I apply mathematics to problems in fluid dynamics, primarily geophysical fluid dynamics, and especially physical oceanography. My focus is to develop and apply advanced mathematical techniques in support of science and engineering generally, and particularly in geophysical problems. My main mathematical tools are multiscale and stochastic modeling, asymptotic analysis, Bayesian statistics, and numerical analysis. My publications are available at Google Scholar.
Apologia Pro Mathematica Applicantur
What is applied math? Isn’t it true that all of math can be applied to one thing or another? Certainly. Some math is more applicable than others, but in principle all math can be applied to something. Which points out the first thing about applied math: It is not the same as applicable math, otherwise it would just be math. It also points out that applied math does not consist of a subset of mathematical subjects that has historically been more broadly applicable than other areas of math. There is a difference between developing new mathematics in an area of broad applicability and applying mathematics. Both are valuable, and math could not be applied if it had not first been formulated as math. Applied mathematicians often do both.
When I am doing applied math I am using math to answer questions in fields other than mathematics. Sometimes this requires the development of new math, but often it does not. It could be argued that using math to answer questions in fields other than mathematics is not math at all, that it is ‘just’ science. I agree that it is not pure math. But to say that using math to answer practical questions is not 'doing math' is directly contrary to the common meaning of the phrase 'do the math.'
Most of science and engineering requires the use mathematics, so are all scientists and engineers applied mathematicians? Who gets to call themselves an applied mathematician? It would be foolish to say who can't call themselves an applied mathematician. I claim to be an applied mathematician because I address problems in science and engineering that require more mathematical effort than a typical scientist in the same field is either willing or able to expend.