### Picture of me together with Alan Woods in Oberwolfach during our wonderful RIP stay.

Prof. Dr. Andreas Weiermann
Institut für Mathematische Logik und Grundlagenforschung
der Westfälischen-Wilhelms Universität Münster
Einsteinstr. 62
D-48149 Münster
e-mail: weierma(at)math(dot)uni(hyphen)muenster.de
phone: (X49)251-8333762
phone: (X49)251-8333762
(X49)251-8333790 (secretary of the Institute)
(X49)251-8333060 (secretary of the Institute)
(X49)251-8333078 (fax)
Institut for Wiskunde en Informatica
Budapestlaan 6
3548 Utrecht
email: weierman(at)math(dot)uu.nl
Homepage in Utrecht

## Scientific awards, grants and projects till 2003

The information on this page is representative till the end of 2003. For recent information please consult my Utrecht homepage. Utrecht is a place which provides a very nice competitive scientific environment for high quality research in logic in general (and proof theory in particular) and mathematics. I am still a Heisenberg fellow of the DFG. The Deutsche Forschungsgemeinschaft has supported my research in addition by sponsoring a two years project for Gye Sik Lee and a two years project for Ingo Lepper. Moreover I am scientist in charge for a Marie Curie fellowship of Georg Moser. Recently the DFG has funded a joint project with Alan Woods about analytic combinatorics and logical limit laws and a joint project with Harvey Friedman and Toshiyasi Arai about the fine structure of independence results. From 1.9.1994-31.3.1995 I was sponsored by a HCM-grant from the European Community. From 1985-88 I was Stipendiat of the Studienstiftung des Deutschen Volkes.

## Serving for conferences

PC member LC 2002. OC member LC 2002. PC member WST 2003.

## Dissertation, Habilitationsschrift, CV and list of publications (not up to date)

For recent information please consult my Utrecht pages.

Vita, (in german)
List of Publications (in german)
Ein neuer Zugang zu Kollabierungsfunktionen. (Dissertation, Münster 1990)
Ein Beitrag zur Theorie der subrekursiven Funktionen (Habilitationsschrift, Münster 1994)

## A selection of recent papers till 2003

Recent information can be found on my Utrecht homepage. The information concerning my research found in the Forschungsbericht 2003-2004 of the University of Muenster seems a bit incomplete. To complement it let us add that AMS Reviews gives the following information on the number of relevant publications:
2001-2002 Schindler:5 Pohlers:0 Diller:1 Weiermann:4
2003-2004 Schindler:6 Pohlers:0 Diller:0 Weiermann:5
Some of my recent papers combine enumerative combinatoric and analytical methods with proof theory. I obtained optimal Friedman style classifications for slowly descending sequences of ordinals less than $\epsilon_0$ and for slowly well partially ordered sequences of finite trees. The first paper (now revised and to appear in the Journal of Symbolic Logic) is: An application of graphical enumeration to PA . Some further papers on this material are in preparation. These will use Tauberian theorems and methods from probability theory and complex analysis. A recent example is about binary trees (to appear in Mathematical Logic Quarterly). Moreover I obtained complete classifications for the Paris Harrington result (to appear in the Proceedings of the AMS), the Goodstein sequences and the Hydra game. Some of these results have been presented at the seminars on the average case analysis in Tatihou and Strobl . A recent result on a logical limit law characterization of the proof-theoretic ordinal of Peano arithmetic has been presented at a colloquium on Algorithms, Trees, Combinatorics and Probabilities in Versailles. Quite recently I submitted a preprint about an application of the Riemann hypothesis and the ABC conjecture to independence results for publication. Some problems on natural well orders which I found interesting are contained in the following selection of problems on natural wellorders. Some mathematical problems which arose from logic can be found in this list .

## Non mathematical publications

I have published three chess problems in a refereed chess journal.

A mate in two moves
A selfmate in two moves

## Scientific interests

(Impredicative) proof-theory, ordinal notation systems, well-quasi-orderings, Kruskal theorems, termination proofs for rewrite systems, Pi^1_2-logic, subrecursive hierarchies, provably recursive functions, functionals of finite type, predicative recursion, analytic number theory, asymptotic analysis, average case analysis of algorithms, analytic number theory.

## Teaching

I have supervised the Diplomarbeit of B. Blankertz, the Diplomarbeiten of Volker Hartung (in part), Michael Möllerfeld and Stefan Kumbier and a part of the Diplomarbeit of Wolfgang Burr. (Parts of the diploma thesis of Blankertz thesis have led to a joint publication in Studia Logica. Parts of the diploma thesis of Hartung have led to a publication in Archive for Mathematical Logic. Burr's Diplomarbeit has won a price at the Studentenkonferenz in Jena 1996.) In 1998 I have supervised the Diplomarbeiten of Stefan Harmeling and Gunnar Wilken.
Further diploma projects which I can offer arise from problems which have been left open in my publications. At the moment I can offer some projects which deal with growth rate classifactions of the slow growing hierarchy. Moreover I can offer problems about applying analytic number theory to proof theory. These problems result from recent research. With some assistence it should be possible to solve these problems in about half a year. Alternatively a student may work out detailed versions of articles in the area of classical proof theory, higher recursion theory or set theory.

## Affiliations

I am a member of the Deutscher Hochschulverband, the Association for Symbolic Logic, the Deutsche Mathematiker Vereinigung and the Deutsche Vereinigung für Mathematische Logik und Grundlagen der Mathematik.

## Avocations

One of my hobbies is chess: My recent international Fide-ELO-rating is 2260. I am a member of the chessclub SK 32 Münster .

and now I visit regularly the chess club Paul Keres in Utrecht. A nice chess link is the following.

I also like painting and paintings (e.g expressionistic ones a la van Gogh , Nolde, etc .).

Recently I also got interest in the Dutch language and literature.

## My family.

Picture of Sebastian Picture of Petra, Sebastian and me. (That picture was taken on our last winter holidays. Sebastian did not like the snow very much.)

H.-Doz. Dr. Andreas Weiermann (weierma@math.uni-muenster.de)