Dr. rer. nat. Christian Pech Curriculum Vitae - Technische Universität ...
Dr. rer. nat. Christian Pech Curriculum Vitae - Technische Universität ...
Dr. rer. nat. Christian Pech Curriculum Vitae - Technische Universität ...
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Scientific interests<br />
Algebraic Combi<strong>nat</strong>orics (coherent configurations, strongly regular graphs, incidence<br />
structures, algorithmic methods), Theoretical Computer Science (formal<br />
power-series, formal tree-series, weighted automata, weighted tree-automata,<br />
co-algebras, categorical methods), Universal Algebra (theory of functional and<br />
relational algebras)<br />
List of publications<br />
Preprints:<br />
1. A. Betten, M. Klin, R. Laue, C. <strong>Pech</strong>. A computer approach to the<br />
enumeration of block designs which are invariant with respect<br />
to a prescribed permutation group. Preprint MATH-AL-13-1997,<br />
TU-<strong>Dr</strong>esden, 1997.<br />
2. M. Klin, Ch. <strong>Pech</strong>, P.-H. Zieschang. Flag algebras of block designs.<br />
Preprint MATH-AL-10-1998, TU-<strong>Dr</strong>esden, 1998.<br />
Refereed articles:<br />
1. F. Fiedler, M. Klin, Ch. <strong>Pech</strong>. Directed strongly regular graphs as<br />
elements of coherent algebras. in: K. Denecke, H.-J. Vogel (Eds.).<br />
General Algebra and Discrete Mathematics. Proceedings of the ”Conference<br />
on General Algebra and Discrete Mathematics, Potsdam 1998”,<br />
Shaker Verlag, Aachen 1999, 69-88.<br />
2. Ch. <strong>Pech</strong>. Kleene’s Theorem for Weighted Tree-Automata. in:<br />
A. Lingas, B.J. Nilsson (Eds.). Fundamentals of Computation Theory.<br />
Proceedings of the 14th Inter<strong>nat</strong>ional Symposium, FCT 2003, Malmö,<br />
Sweeden 2003, LNCS 2751, 2003, 387-399.<br />
3. M. <strong>Dr</strong>oste, Ch. <strong>Pech</strong>, H. Vogler. A Kleene Theorem for Weighted<br />
Tree Automata. Theory of Computing Systems, 38(1), 2004, 1-38.<br />
4. L. Kwuida, Ch. <strong>Pech</strong>, H. Reppe. Generalizations of Boolean algebras.<br />
An attribute exploration. Math. Slovaca, 56(2), 2006, 145–165.<br />
5. M. Klin, M. Muzychuk, Ch. <strong>Pech</strong>, A. Woldar and P.-H. Zieschang, Association<br />
schemes on 28 points as fusions of a half-homogeneous<br />
coherent configuration. European Journal of Combi<strong>nat</strong>orics 28(7),<br />
2007, 1994–2025.<br />
Theses:<br />
3