Journal and arxiv versions may differ


1. Mark Shusterman,

Free subgroups of finitely generated free profinite groups

2. Lior Bary-Soroker, Mark Shusterman, Umberto Zannier,

Totally real subextensions

An appendix to Rel leaves of the Arnoux-Yoccoz surfaces, by P. Hooper, and B. Weiss.

3. Mark Shusterman,

Ranks of subgroups in boundedly generated groups

4. Mark Shusterman,

Ascending chains of finitely generated subgroups

5. Mark Shusterman,

Groups with positive rank gradient and their actions

6. Or Ben Porath, Mark Shusterman,

An axiomatizable profinite group with infinitely many open subgroups of index 2

7. Mark Shusterman,

Schreier's formula for Prosupersolvable groups

8. Nikolay Nikolov, Zvi Shemtov, Mark Shusterman,

Gradients of sequences of subgroups in a direct product

9. Mark Shusterman, Pavel Zalesskii,

Virtual retraction and Howson's theorem in pro-p groups

10. Amotz Oppenheim, Mark Shusterman,

Squarefree polynomials with prescribed coefficients

11. Will Sawin, Mark Shusterman, Michael Stoll,

Irreducibility of polynomials with a large gap

12. Matan Ginzburg, Mark Shusterman,

Semi-free subgroups of a profinite surface group

13. Will Sawin, Mark Shusterman,

On the Chowla and twin primes conjectures over F_q[T]


14. Mark Shusterman,

Balanced presentations for fundamental groups of curves over finite fields


15. Jordan Ellenberg, Wanlin Li, Mark Shusterman,

Nonvanishing of hyperelliptic zeta functions over finite fields

To appear in Algebra & Number Theory

16. Andrei Jaikin-Zapirain, Mark Shusterman,

The Hanna Neumann conjecture for Demushkin Groups

17. Will Sawin, Mark Shusterman,

Möbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields


18.Hélène Esnault, Mark Shusterman, Vasudevan Srinivas

Finite presentation of the tame fundamental group