Field Arithmetic, Galois Theory, Inverse Galois Theory, and related problems in commutative algebra and valuation theory.
1. Algebraic patching over complete domains, Israel Journal of Mathematics.
2. Split embedding problems over complete domains, Annals of Mathematics.
3. Split embedding problems over function fields over complete domains, American Journal of Mathematics.
4. Power series over generalized Krull domains, with Michael Temkin, Journal of Algebra.
5. Galois theory over complete local domains, Mathematische Annalen.
6. Fully Hilbertian fields, with Lior Bary-Soroker, submitted.
7. On totally ramified extensions of discrete valued fields, with Lior Bary-Soroker, proceedings of a GTEM conference on
Geometry and Arithmetic around Galois Theory.
8. Patching and admissiblity over two-dimensional complete local domains, with Danny Neftin, Algebra and Number Theory.
9. Hilbertianity of fields of power series, Journal of the Institute of Mathematics of Jussieu.
10. Galois theory over fields of power series, submitted.
11. Galois theory over rings of arithmetic power series, with Arno Fehm, Advances in Mathematics.
12. Non ample complete valued fields, with Arno Fehm, IMRN.