[loginf] PhD Studies in Symbolic Functional Analysis
markus.rosenkranz at risc.uni-linz.ac.at
Tue Mar 9 10:40:26 CET 2004
[Apologies for multiple copies]
PhD Studies in Symbolic Functional Analysis
We offer PhD research assistantships for students with the following
* You want to work in an exciting new area of mathematics,
emerging at the borderline of two modern core disciplines of
mathematics, symbolic computation and functional analysis.
* You have some basic knowledge of symbolic computation (computer
algebra), including in particular the theory of Groebner bases.
* You have also basic knowledge of advanced analysis,
including in particular the theory of ordinary and partial
differential equations as well as some abstract functional analysis.
* You have good practical skills in programming and using mathematical
* You have finished your diploma or master's degree (or equivalent)
and you want to start on a PhD thesis.
* Your knowledge of English is sufficient for fluent
conversation in mathematics.
Strong students are encouraged to send their application to Dr.~Markus
Rosenkranz. Research assistantships are available starting from
April~2004 in the frame of a research project directed by Professors
Bruno Buchberger and Heinz W.~Engl.
Dr. Markus Rosenkranz
Research Institute for Symbolic Computation (RISC)
E-mail: Markus.Rosenkranz at risc.uni-linz.ac.at
Details about the Project
Symbolic functional analysis (SFA) is defined as the continuation of
symbolic computation towards operator problems of functional analysis,
including so-called inverse problems.
Recently, in the frame of this project, a typical SFA problem has been
solved algorithmically: finding the Green's operator for a given
linear two-point boundary value problem at the abstract operator
The next goal is to analyze/generalize this approach to various other
SFB problems: linear partial differential equations, non-linear
problems, non-BVP type problems (e.g. exterior Dirichlet problems,
single-layer potential), and inverse problems of all types.
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