Publications of Jeroen Demeyer

Preprints

• Jeroen Demeyer, Hilbert's Tenth Problem for function fields over valued fields in characteristic zero, funcfield0.pdf (2009).

Published or in press

1. Jeroen Demeyer and Jan Van Geel, An existential divisibility lemma for global fields, Monatsh. Math. 147 (2006), no. 4, 293–308.
2. Jeroen Demeyer, Recursively enumerable sets of polynomials over a finite field, J. Algebra 310 (2007), no. 2, 801–828.
3. Jeroen Demeyer, Recursively enumerable sets of polynomials over a finite field are Diophantine, Invent. Math. 170 (2007), no. 3, 655–670.
4. Jeroen Demeyer, Diophantine sets of polynomials over number fields, to appear in Proc. Amer. Math. Soc, nfpoly.pdf (2010).

Ph.D. Thesis

• Diophantine Sets over Polynomial Rings and Hilbert's Tenth Problem for Function Fields, demeyer_phd.pdf (2007).