education so far in math and physics at the undergraduate level, but from there a smattering of knowledge from many areas, e.g. mathematical physics, e.g. hilbert spaces, quantum theory, linear and abstract algebra, group theory, real and complex analysis, basic and advanced calculus, topology and topological spaces, differential geometry, a bit of number theory, even a bit of knot theory...but still just piecing it all together...more broad than deep. I can recognize most mathematical concepts, but not always full up on the details.