Gérard Maze's Home Page

Mail Address:

Gérard Maze
Institut fuer Mathematik
Universitaet Zuerich
Winterthurerstrasse 190
CH-8057 Zuerich
Switzerland

Telephone: (+41) 1 - 63-55839
Fax: (+41) 1 - 63-55705
E-Mail: gmaze -at- math..uzh..ch (..=.)


I currently have a part-time position in the Institute of Mathematics of the University of Zurich in the Applied Algebra Group.
After having finished my PhD dissertation under the direction of Joachim Rosenthal with the University of Notre Dame, I worked as a postdoc with the Laboratoire de Mathématiques Algorithmiques, under the direction of Amin Shokrollahi .

Teaching

Applications of Finite Fields (Winter 2005)

Topics in Cryptology (Summer 2007) Teaser Scheduled talks

In my research and activities, I mostly focus on

Cryptography and analysis of algorithms

Combinatorics related to 0-1 matrices

Computational and applied algebra in general

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Publications, Preprints and Slides:

• Some Inequalities Related to the Seysen Measure of a Lattice, submitted for publication. Preprint available at [ pdf arXive].

• (with U. Wagner) A Note on the Weighted Harmonic-Geometric-Arithmetic Means Inequalities, submitted for publication. Preprint available at [ pdf arXive].

• (with J. Zumbraegel and J. Rosenthal) Efficient Recovering of Operation Tables of Black Box Groups and Rings, Proceedings of the 2008 IEEE International Symposium on Information Theory.

• Existence of a Limiting Distribution for the Binary GCD Algorithm [ pdf arXiv ], in Journal of Discrete Algorithms, 5 (2007), pp 176-186.

• (with J. Rosenthal and C. Monico) Public Key Cryptography based on Semigroup Actions [ pdf arXiv], in Advances of Mathematics of Communications, Vol 1, 4 (2007), pp 489-507.

• (with L. Minder) A New Family of Almost Identities, in Elemente der Mathematik, 62 (2007), pp 89-97. Extended version available at [ pdf arXive], slides [ pdf ].

• (with H. Parlier) Determinants of Binary Circulant Matrices, in Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004 [ pdf ], extended version [ pdf ], slides [ pdf ].

• Algebraic Methods for Constructing One-Way Trapdoor Functions, PhD Thesis, University of Notre Dame, 2003 [ pdf ].

• Partitions Modulo n and Circulant Matrices, Discrete Mathematics, Vol 287/1-3 pp 77-84 [ pdf ].

• (with J. Rosenthal and C. Monico) A Public Key Cryptosystem Based on Actions by Semi-Groups, in Proceedings of the 2002 IEEE International Symposium on Information Theory, 2002 [ pdf ].

• (with J. Rosenthal, C. Monico and J. Climente) Public Key Cryptography Based on Simple Modules over Simple Rings, in Electronic Proceedings of the 15th International Symposium on the Mathematical Theory of Networks and Systems, University of Notre Dame, 2002.

I also contributed to the following less mathematical article:

• (with J. Pellet and N. Perrin ) The contribution of patch topology and demographic parameters to population viability analysis predictions: the case of the European tree frog, in Population Ecology, 48 (2006), pp 353-361.

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