Christian Meyer Algebraic Geometry Group Postal address: Institut für Mathematik Arbeitsgruppe Algebraische Geometrie Johannes Gutenberg-Universität D-55099 Mainz E-Mail: cm.math@gmx.de

Until April 2005 I was a member of the Algebraic Geometry Group at the Institute of Mathematics of the Johannes Gutenberg-Universität Mainz.

I am working on modularity of Calabi-Yau threefolds. Here you can download slides from a talk which I gave in Hannover on 2005/04/14. The talk from my thesis defense on 2005/04/29 is also available.

Book:

Modular Calabi-Yau threefolds, Fields Institute Monograph 22 (2005). ISBN: 0-8218-3908-X. There are two pages containing supplementary material for the book, one at the Fields Institute and one at the AMS. You can also download some additional material here:

• a list of updated and additional references, including some comments,
• a sample C++ program for counting points on double octics and finding their modular forms,
• a table of weight four newforms needed by the above program,
• a printable table of weight four newforms,
• a printable table of weight two newforms.

Published mathematical papers and arXiv preprints:

• with S. Cynk: Modularity of some non-rigid double octic Calabi-Yau threefolds, Rocky Mountain J. Math. 38, no. 6 (2008), 1937-1958.
• with S. Cynk: Modular Calabi-Yau threefolds of level eight, Internat. J. Math. 18, no. 3 (2007), 331-347.
• The mirror quintic as a quintic, math.AG/0503329.
• with S. Cynk: Geometry and Arithmetic of Certain Double Octic Calabi-Yau Manifolds, Canadian Mathematical Bulletin 48, no. 2 (2005), 180-194.
• Modular quintics in P^4, Mathematische Nachrichten 259 (2003), 66-73.

Unpublished mathematical papers:

• On conjecture no. 22 arising from the OEIS.
• On conjecture no. 58 arising from the OEIS.
• On conjecture no. 75 arising from the OEIS.
• On conjecture no. 76 arising from the OEIS.
• Bounded walks and Catalan numbers.

Theses:

• Ph.D. thesis: A dictionary of modular threefolds (2005)
• Diploma thesis: Die L-Reihen einiger symmetrischer Quintiken (in German, 2001)

Tables of modular forms:

• Weight 6. The table is complete until level 450.
• Weight 4. The table is complete until level 2002 and contains levels up to 2700.
• Weight 2. The table is complete until level 3000 and contains levels up to 6400.

Links:

• Homepage of Slawomir Cynk
• Freunde der Mathematik an der Johannes Gutenberg-Universität Mainz e.V. (in German)
• The RoboCup Federation

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