My main interests are mathematics and (real played) games. For details please have a look to my book "Luck, logic and white lies: The mathematics of games", a translation of my German book "Glück, Logik und Bluff". Publisher is AK Peters.
Price: 49 $
preface and contents
Online versions: Amazon, order at amazon.com
An overview can be found on the sheets of my talks "Spiele aus mathematischer Sicht" and "Games in the view of mathematics" on the Mathematikertag at the FH Stuttgart/Hochschule für Technik on 17.11.2000 resp. on a symposium of AIMe (Association of Industrial Mathematics Eindhoven) on 3.11.2000.
During the preparation of my book I wrote also a little overview concerning "Go and Mathematics" (in German).
In the years 2017 to 2019 I published some papers concerning the topic of measuring skill in games.
Price: 35 $
Preface and Contents
Online versions: Amazon, AMS order at amazon.com
About my person:
In 1985 I made my Ph.D. in Bonn. In my thesis, which was supervised by Günter Harder (later one of the directors of the "Max-Planck-Institut für Mathematik" in Bonn) , I used topological methods to prove a Lefschetz fixed point formula for twisted Hecke operators (on the level of the cohomology of arithmetic groups). In the case of rank one I characterised the boundary contributions of the Lefschetz number as a Lefschetz number of a truncated Hecke correspondence defined on the contracting parts of the boundary. As a conclusion I got arithmetic results like class number relations. In the general case the terms of the adelic version are based on orbital integrals. For newer and more general results look to Goresky/MacPherson, Arthur and Mahnkopf.
Now, since 1998, I am Managing Director of Mega-Spielgeräte in Limburg, which is designing AWPs (amusement with prices, that means "slot machines" to be operated in German pubs and arcades; see also DMV-Mitteilungen 3/98) and internet terminals (Mega Web). I am also Managing Director of GeWeTe which is producing change machines and automated pay machines.