Buium, Alexandru and Poonen, Bjorn (2009). Independence of points on elliptic curves arising from special points on modular and Shimura curves. I. Global results. Duke Math. J. 147 No.1, 181-191. [MR] [GS?]
Poonen, Bjorn (2009). The set of nonsquares in a number field is Diophantine. Math. Res. Lett. 16 No.1, 165-170. [MR] [GS?]
Poonen, Bjorn (2008). Elliptic curves. In Algorithmic number theory: lattices, number fields, curves and cryptography Math. Sci. Res. Inst. Publ. 183-207 Cambridge Univ. Press Cambridge. [MR] [GS?]
Poonen, Bjorn (2008). Isomorphism types of commutative algebras of finite rank over an algebraically closed field. In Computational arithmetic geometry Contemp. Math. 463 111-120 Amer. Math. Soc. Providence, RI. [MR] [GS?]
Poonen, Bjorn and Pop, Florian (2008). First-order characterization of function field invariants over large fields. In Model theory with applications to algebra and analysis. Vol. 2 London Math. Soc. Lecture Note Ser. 350 255-271 Cambridge Univ. Press Cambridge. [MR] [GS?]