Christian Meyer

Dr. Christian Meyer

e-mail: cm [DOT] math [AT] gmx [DOT] de

Validation book:

with P. Quell: Risk Model Validation, Third Edition, Risk Books (2020). ISBN: 9781782724346.

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Second edition: Risk Model Validation, Second Edition, Risk Books (2016). ISBN: 9781782722632.

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First edition: Risk Model Validation - A Practical Guide to Addressing the Key Questions, Risk Books (2011). ISBN: 9781906348519.

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Calabi-Yau book:

Modular Calabi-Yau Threefolds, Fields Institute Monograph 22 (2005). ISBN: 0-8218-3908-X.

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Supplementary material:

There are two web pages containing supplementary material for the book, one at the Fields Institute and one at the AMS, but they are outdated. Please use the material below instead.

the paper arXiv:math/1810.03659 [math.AG] containing a list of updated and additional references, and some comments,
a printable table of weight four newforms,
a printable table of weight two newforms,
slides from a talk on modular Calabi-Yau threefolds (Hannover, 2005/04/14),
slides from my thesis defense (in German; Mainz, 2005/04/29).

Material for further experiments:

Using William A. Stein's package HECKE (included in the MAGMA computer algebra system) I computed Fourier coefficients of newforms for \Gamma_0(N) with rational coefficients for certain weights. Each row of the tables contains a level and the coefficients of a certain newform of this level for the first 25 primes (2 to 97).

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.
A sample C++ program for counting points on double octics and finding their modular forms (needs the weight 4 table).

Papers:

Papers and arXiv preprints in probability and mathematical finance:

Estimation of inter-sector asset correlations, arXiv:2111.15204 [q-fin.RM] (2021).
Model Risk in Credit Portfolio Models, arXiv:2111.14631 [q-fin.RM] (2021).
Recursive Numerical Evaluation of the Cumulative Bivariate Normal Distribution, Journal of Statistical Software 52, no. 10 (2013), 1-14.
The Bivariate Normal Copula, Communications in Statistics - Theory and Methods 42, no. 13 (2013), 2402-2422.
Estimation of intra-sector asset correlations, Journal of Risk Model Validation 3, no. 4 (2009), 47-79.

Papers and arXiv preprints in algebraic geometry:

Modularity experiments on S4-symmetric double octics, arXiv:1810.03659 [math.AG] (2018).
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, arXiv:math/0503329 [math.AG] (2005).
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:

Theses:

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

GPPO:

Back in the early 1990s, using Omikron Basic 3.5 and the corresponding compiler, I wrote the car race game GPPO (or GPPD, in an earlier version) for Atari ST(E) systems. It requires 640x400 b/w resolution (I think it probably was the only car race game available for us SM124 users). It will run, for example, under the Steem Atari STE emulator.

Downloads and Links:

ROBOSY has written a browser-playable version of the game, including a cool pseudo-3D view.
The original game itself. Simply unzip the folder to a suitable location and run the .PRG. For documentation (in German) please refer to the .DOC.
The source code as ASCII text file. There might be some obscure characters left. Note also that comments are in German, as well as the names of most variables.

If you have any questions, please send me an e-mail but keep in mind that 20+ years is quite a long time.