Mark Shusterman

Publications

Journal and arxiv versions may differ

1. Mark Shusterman,

Free subgroups of finitely generated free profinite groups

J. London Math. Soc. (2016) 93 (2): 361-378

Arxiv

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.

Sel. Math. (2018) 24, 2, 875-934

Arxiv

3. Mark Shusterman,

Ranks of subgroups in boundedly generated groups

Bull. London Math. Soc. (2016) 48 (3): 539-547

Arxiv

4. Mark Shusterman,

Ascending chains of finitely generated subgroups

J. Algebra  (2017) 471, 240-250

Arxiv

5. Mark Shusterman,

Groups with positive rank gradient and their actions

Math. Slov. (2018) 68, 2, 353–360

Arxiv

6. Or Ben Porath, Mark Shusterman,

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

J. Group Theory (2016) 20, 4, 745–748

Arxiv

7. Mark Shusterman,

Schreier's formula for Prosupersolvable groups

Int. J. Alg. Comp. (2017) 27, 1, 41-48

Arxiv

8. Nikolay Nikolov, Zvi Shemtov, Mark Shusterman,

Gradients of sequences of subgroups in a direct product

IMRN 12 (2019), 3704-3717

Arxiv

9. Mark Shusterman, Pavel Zalesskii,

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

Trans. Amer. Math. Soc. 373 (2020), 1501-1527

Arxiv

10. Amotz Oppenheim, Mark Shusterman,

Squarefree polynomials with prescribed coefficients

J. Number Theory (2018) 187, 189-197

Arxiv

11. Will Sawin, Mark Shusterman, Michael Stoll,

Irreducibility of polynomials with a large gap

Acta Arithmetica 192 (2020), 111-139

Arxiv

12. Matan Ginzburg, Mark Shusterman,

Semi-free subgroups of a profinite surface group

J. Group Theory (2018) 21, 5, 901–910

Arxiv

13. Will Sawin, Mark Shusterman,

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

Submitted

Arxiv

14. Mark Shusterman,

Balanced presentations for fundamental groups of curves over finite fields

Submitted

Arxiv

15. Jordan Ellenberg, Wanlin Li, Mark Shusterman,

Nonvanishing of hyperelliptic zeta functions over finite fields

To appear in Algebra & Number Theory

Arxiv

16. Andrei Jaikin-Zapirain, Mark Shusterman,

The Hanna Neumann conjecture for Demushkin Groups

Advances in Mathematics 349 (2019): 1-28

Arxiv

17. Will Sawin, Mark Shusterman,

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

Submitted

Arxiv

18.Hélène Esnault, Mark Shusterman, Vasudevan Srinivas

Finite presentation of the tame fundamental group

Submitted

Arxiv