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I am a postdoc of Uwe Jannsen interested in arithmetic geometry, especially Arithmetic of Abelian schemes, their $L$-functions and étale cohomology.

My two recent articles on the Tate-Shafarevich group and the conjecture of Birch-Swinnerton-Dyer for Abelian schemes over higher dimensional bases over finite fields can be found here:

http://arxiv.org/abs/1410.5293 and http://arxiv.org/abs/1410.5294


Jan
18
awarded  Popular Question
Jan
13
revised Are there Néron models over higher dimensional base schemes?
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Jan
13
revised Are there Néron models over higher dimensional base schemes?
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Jan
13
accepted Are there Néron models over higher dimensional base schemes?
Jan
13
comment Are there Néron models over higher dimensional base schemes?
Yes, you are right, exactly!
Jan
13
answered Are there Néron models over higher dimensional base schemes?
Jan
10
awarded  Yearling
Dec
23
awarded  Enlightened
Dec
23
awarded  Nice Answer
Dec
21
answered Hartshorne Proposition III 8.1
Dec
10
comment Chow group of a product
Does mathoverflow.net/questions/159959/chow-ring-of-two-varieties/… help you?
Nov
30
answered References for $K_{4k}(\mathbb{Z})$
Nov
4
revised Under the condition specified below, is $\mathcal{O}_X(X-V(I))=R$, where $X=\mathrm{Spec}R$?
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Nov
4
answered Under the condition specified below, is $\mathcal{O}_X(X-V(I))=R$, where $X=\mathrm{Spec}R$?
Oct
29
awarded  Nice Question
Oct
26
answered Is there a simple proof that Milnor $K_2$ of a number field is torsion?
Oct
21
revised A generalisation of the Birch and Swinnerton-Dyer conjecture
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Oct
21
revised Is the Cassels-Tate pairing defined for elliptic curves over function fields?
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Oct
21
comment How the equality in the first case is equivalent to the inequality in the last case?
It is on arxiv now, see arxiv.org/abs/1410.5294 (see also arxiv.org/abs/1410.5293).
Oct
21
revised Is the Cassels-Tate pairing defined for elliptic curves over function fields?
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