Find my blog here.

Welcome to my web-page. My research interests are phase transitions in incompleteness phenomena. To read more on mathematical incompleteness I recommend:

Prof. Harvey Friedman's webpage, which also contains an extensive overview in the introduction of his book on Boolean Relation Theory.

For more on phase transitions:

My supervisor's webpage

This research relies heavily on results from proof theory, for a compact introduction visit:

Prof. Wilfried Buchholz's webpage

Some short and simple examples of phase transitions in logic:

A phase transition for Dickson's lemma

A phase transition for growing trees

Articles:

(2008) A phase transition for unordered regressive ramsey numbers

(2009) Unprovability of Maclagan in two variables

(2012) On the lengths of bad sequences of monomial ideals over polynomial rings, Fundamenta Mathematicae volume 216 number 2.

A phase transition for this (including some greatly cleaned up proofs) can be found here .

(2015) Independence of Ramsey theorem variants using \epsilon_0, joint with Harvey Friedman, in press at PAMS.

Latest version on the PAMS website.

The slides of my CTFM2013 talk about a part of this paper

(2013) A paper containg a sharp phase transition for the finite adjacent Ramsey theorem has been accepted for publication by the NDJFL.

Ongoing research: generalising phase transitions, concrete independence.
Some interesting websites from general science:

Scientific American

Improbable research

Appendix F

How to write mathematics

My other interests:

Aikido

Food!

Linux

Contact details: pelupessy (at) cage.ugent.be