### Project 06: "Polynomial Diophantine equations - combinatorial and number theoretic aspects"

*This project was running from 2010 until 2014.*

Principal investigator: Peter Kirschenhofer

University of Leoben, Austria.

He is now associated scientist in project 8.

Associated scientist: Wilfried Imrich

University of Leoben, Austria.

He is now associated scientist in project 1.

### DK Student

**First phase of the doctoral program:**-
**Mario Weitzer**(Austria; September 2011–June 2015)

*Email*: Mario.Weitzer@unileoben.ac.at

*Mentors:*Alfred Geroldinger, Jörg Thuswaldner.

*Thesis Title*: "Shift radix systems".

*PhD Defense*: June 1, 2015.

*Referees*: P. Kirschenhofer, R. Tichy (Graz), A. Pethő (Debrecen).

*Examiners*: P. Kirschenhofer, R. Tichy (Graz).

### Project description

Kirschenhofer's main interests in Discrete Mathematics are Combinatorics (enumeration problems and ``bijective'' proofs, generating functions, combinatorial identities), combinatorial questions in number theory (combinatorial problems leading to Diophantine equations), Diophantine equations (polynomial Diophantine equations, relative Thue equations) and analysis of algorithms. He is a co-researcher of a project within the FWF-NFN S96 and therefore integrated within the corresponding network of research.