• Home
• Research

Publications and Preprints

32. Galois invariants of finite abelian descent and Brauer sets (pdf)
    joint with Jesse Pajwani and Felipe Voloch
31. Weak approximation versus the Hasse principle for subvarieties of abelian varieties
    Mathematische Zeitschrift, Volume 306, article number 11, (2024) (pdf)
30. The Brauer-Manin obstruction for nonisotrivial curves over global function fields (pdf)
    joint with Felipe Voloch; appendix by Damian Rössler
29. Etale descent obstruction and anabelian geometry of curves over finite fields (pdf)
    to appear in Épijournal de Géométrie Algébrique
    joint with Felipe Voloch
28. Degrees of points on varieties over Henselian fields (pdf)
    joint with Bianca Viray
27. The local-global principle for divisibility in CM elliptic curves (pdf) (journal)
    J. Number Theory, Volume 250 (2023), Pages 139-154
    joint with Sheng(Victor) Lu
26. Brauer-Manin obstructions on hyperelliptic curves (pdf) (journal)
    Advances in Mathematics, Volume 431 (2023).
    joint with Duttatrey Nath Srivastava
25. Quadratic points on intersections of two quadrics (pdf)
    Algebra & Number Theory 17-8 (2023), 1411-1452.
    joint with Bianca Viray
24. The Brauer-Manin obstruction for constant curves over global function fields (pdf) (journal)
    Annales de l'Institut Fourier, Volume 72 (2022) no. 1, pp. 43-58.
    joint with Felipe Voloch
23. Tate-Shafarevich groups of constant elliptic curves and isogeny volcanos
    appeared in Abelian varieties and number theory, 41–50, Contemp. Math., 767, Amer. Math. Soc., 2021 (arXiv) (publisher)
    joint with Felipe Voloch
22. Three-dimensional connected groups of automorphisms of toroidal circle planes
    Adv. Geom. 20 (2020), no. 4, 585–594 (pdf) (journal)
    joint with Duy Ho and Günter Steinke
21. There are no transcendental Brauer-Manin obstructions on abelian varieties
    Int. Math. Res. Not. IMRN 2020, no. 9, 2684–2697 (pdf) (journal)
20. The d-primary Brauer-Manin obstruction for curves
    Res. number theory (2018) 4: 26 (pdf) (journal)
    joint with Bianca Viray and Felipe Voloch
19. On automorphism groups of toroidal circle planes
    J. Geom. (2018) 109: 15. (pdf) (journal)
    joint with Duy Ho and Günter Steinke
18. Improved rank bounds from 2-descent on hyperelliptic Jacobians
    Int. J. Number Theory 14(6): 1709-1713 (2018) (pdf) (journal)
17. Degree and the Brauer-Manin obstruction
    Algebra Number Theory Vol. 12 (2018), No. 10, 2445–2470 (pdf) (journal)
    joint with Bianca Viray; appendix by Alexei Skorobogatov
16. Zero-cycles of degree one on Skorobogatov's bielliptic surface
    J. Number Theory 178 (2017) pp. 1-4 (pdf) (journal)
15. Local-global principles for Weil-Châtelet divisibility in positive characteristic
    Math. Proc. Cambridge Phil. Soc. 163 (2017) pp. 357-367 (pdf) (journal)
    joint with Felipe Voloch
14. Most binary forms come from a pencil of quadrics
    Proc. Amer. Math. Soc. Ser. B 3 (2016) pp. 18–27 (pdf) (journal)
13. Generalized Jacobians and explicit descent
    Math. Comp. 89 (2020), no. 323, 1365–1394 (pdf) (journal)
12. Relative Brauer groups of torsors of period two
    J. Algebra 459 (2016) pp. 109-132 (pdf) (journal)
11. On Brauer groups of double covers of ruled surfaces
    Math. Ann. 362 (2015) pp. 1169-1200 (pdf) (journal)
    joint with Bianca Viray
10. Two torsion in the Brauer group of a hyperelliptic curve
    Manuscripta Math. 147 (2015) pp. 139-167 (pdf) (journal)
    joint with Bianca Viray
9. On the local-global principle for divisibility in the cohomology of elliptic curves
   Math. Res. Lett., Vol. 23, No. 2 (2016), pp. 377-387 (pdf) (journal)
8. Locally trivial torsors that are not Weil-Châtelet divisible
   Bull. London Math. Soc. 45 (2013) pp. 935-942 (pdf) (journal)
7. Explicit descent in the Picard group of a cyclic cover of the projective line
   ANTS X: Proceedings of the Tenth Algorithmic Number Theory Symposium
   Edited by Everett W. Howe and Kiran S. Kedlaya
   Mathematical Sciences Publishers, OBS 1 (2013) pp. 295-315 (pdf) (journal)
6. Second isogeny descents and the Birch and Swinnerton-Dyer conjectural formula
   J. Algebra 372 (2012) pp. 673-701 (pdf) (journal)
   joint with Robert L. Miller
5. Second p-descents on elliptic curves
   Math. Comp. 83 (2014) pp. 365-409 (pdf) (journal)
4. Potential Sha for abelian varieties
   J. Number Theory 131 (2011) pp. 2162-2174 (pdf) (journal)
3. Answer to a question of Bruin and Stoll
   preprint 2010 (not intended for publication) (pdf)
2. A Grunwald-Wang type theorem for abelian varieties
   Acta Arith. 154 (2012) pp. 353-370 (pdf) (journal)
1. Explicit second p-descent on elliptic curves
   PhD Thesis Jacobs University Bremen (2010) (pdf)