Pauca sed matura (Few, but ripe.)    J. C. F. Gauss’s motto*

 Articles

4. On logical characterization of henselianity, arXiv:0705.0395v1 [math.LO].

3. Quantifier elimination and real closed ordered fields with a predicate for the powers of two, master thesis. This article contains a complete axiomatization of the elementary theory of the reals with a predicate for the Fibonacci numbers.

2. (with J. Avigad) Quantifier elimination for the reals with a predicate for the powers of two, in Theoretical Computer Science, Volume 370, Issues 1-3, 12 February 2007, Pages 48-59, arXiv:cs/0610117v1 [cs.LO].

1. (with U. Abraham) A note on the Engelking-Karlowicz theorem, to appear in Acta Mathematica Hungarica.

Notes

2. Solutions to the exercises in Atiyah and MacDonald’s Introduction to Commutative Algebra: Chapter 1, Chapter 2, Chapter 3, Chapter 4, Chapter 10.

1. Some basic facts about I[λ] ideal. These notes on I[λ] are based on Shelah's talks in Jerusalem from 12/94 to 03/95, as recorded by James Cummings.

 

*Disclaimer: This standard is too high; for me, I just let go the “ripe” part and focus on the “few” part. I am really fond of this little story of Orson Welles, which Gauss would have liked: Peter Bogdanovich once had a conversation with Welles, in which the great director was rhapsodizing over the late Greta Garbo, of whom he was a tremendous fan. Bogdanovich remarked, “You know, I agree with you, but isn't it too bad that she only made two really, really good pictures?” Welles looked at Bogdanovich for a long, long time, and said, “Well, YOU ONLY NEED ONE.” Most people will probably think that this really summarizes Welles’s career. That is false!

Last modified: October 1, 2007