**Stephen Deterding’s
Research Page**

**Publications and Preprints:**

**Bounded point derivation on R ^{p}(X) and approximate derivatives**, to appear in

**Interpolation
and cubature at the Morrow-Patterson nodes generated by different Geronimus polynomials**, with L. Harris.

*Mathematical
Proceedings of the Royal Irish Academy* Vol. 117A, No. 1 (2017), pp. 5-12

**My Research:**

My research
interests are in the area of rational approximation theory. This was originally motivated by the question of what conditions
are necessary on a subset of the complex plane so that any continuous function
on the subset can be uniformly approximated by rational functions. Problems in
this field are often solved through a combination of
functional analysis and classical complex analysis. While the original
motivating question is now solved, there are still
many unsolved problems in this area. Currently I am studying bounded point
derivations, which are linear functionals that
generalize the concept of the derivative to functions that may not be differentiable.