Publications
- D-elliptic sheaves and odd Jacobians,
Journal of Number Theory (Special Issue in honor of David Hayes)
133 (2013), 1012-1026.
- Local diophantine properties of modular curves of D-elliptic sheaves,
Journal für die reine und angewandte Mathematik 664 (2012), 115-140.
- On generators of arithmetic groups over function fields,
International Journal of Number Theory 7 (2011), 1573-1587.
- On Jacquet-Langlands isogeny over function fields,
Journal of Number Theory 131 (2011), 1149-1175.
- On finite arithmetic simplicial complexes,
Proceedings of the American Mathematical Society 139 (2011), 111-124.
- Endomorphisms of exceptional D-elliptic sheaves,
Mathematische Zeitschrift 266 (2010), 407-423.
- On hyperelliptic modular curves over function fields,
Archiv der Mathematik 92 (2009), 291-302.
- Genus formula for modular curves of D-elliptic sheaves,
Archiv der Mathematik 92 (2009), 237-250.
- Modular varieties of D-elliptic sheaves and the Weil-Deligne bound,
Journal für die reine und angewandte Mathematik 626 (2009), 115-134.
- On eigenvalues of p-adic curvature,
Manuscripta Mathematica 127 (2008), 397-410.
- Modular curves of D-elliptic sheaves are asymptotically optimal,
Mathematical Research Letters 15 (2008), 525-536.
- Analogue of the degree conjecture over function fields,
Transactions of the American Mathematical Society 359 (2007), 3483-3503.
- Abelian subvarieties of Drinfeld Jacobians
and congruences modulo the characteristic,
Mathematische Annalen 337 (2007), 139-157.
- The number of rational points on Drinfeld modular varieties over finite fields,
International Mathematics Research Notices Article ID 94356 (2006), 1-36.
- On the torsion of optimal elliptic curves over function fields,
Mathematical Research Letters 13 (2006), 321-331.
- On the variation of Tate-Shafarevich groups of elliptic curves over hyperelliptic curves,
Journal of Number Theory 115 (2005), 249-283.
- Rigid-analytic geometry and abelian varieties,
Contemporary Mathematics 388 (2005), 145-160.
- Pesenti-Szpiro inequality for optimal elliptic curves,
Journal of Number Theory 114 (2005), 361-393.
- On component groups of Jacobians of Drinfeld modular curves,
Annales de l'Institut Fourier 54 (2004), 2163-2199.
- On the degree of modular parametrizations over function fields,
Journal of Number Theory 97 (2002), 317-349.
- On coset coverings of solutions of homogeneous cubic equations over finite fields,
Electronic Journal of Combinatorics 8 (2001), #R22
(joint with Ara Alexanian).
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