[Apologies for multiple copies]
PhD Studies in Symbolic Functional Analysis ===========================================
Qualifications --------------
We offer PhD research assistantships for students with the following qualifications:
* 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 software.
* 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.
Application -----------
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(a)risc.uni-linz.ac.at Internet: www.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 level.
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. ============================================================================== Message: Address: Action: help majordomo(a)clip.dia.fi.upm.es Info. on useful commands subscribe ciao-users-request(a)clip.dia.fi.upm.es Subscribe to this list unsubscribe ciao-users-request(a)clip.dia.fi.upm.es Unsubscribe from this list <whatever> ciao-users(a)clip.dia.fi.upm.es Send message to list ----------------------------------------------------------------------------- Archived messages: http://www.clip.dia.fi.upm.es/Mail/ciao-users/ -----------------------------------------------------------------------------