Cristian Virdol
Ritt Assistant ProfessorColumbia University
Office: Mathematics Building 307A
Email: virdol@math.columbia.edu
Papers:
1. C. Virdol, Zeta functions of twisted modular curves, Journal of the Australian Mathematical Society 80 (2006), no. 1, 89-103. pdf
2. C. Virdol, Tate classes and poles of L-functions of twisted quaternionic Shimura surfaces, Journal of Number Theory 123 (2007), no. 2, 315-328. pdf
3. C. Virdol, On L-functions of twisted 3-dimensional quaternionic Shimura varieties, Nagoya Mathematical Journal 190 (2008), 87-104. pdf
4. C. Virdol, Tate classes and L-functions on a product of a quaternionic Shimura surface and a Picard modular surface, Journal of Number Theory 128 (2008), no. 6, 1430-1447. pdf
5. C. Virdol, Moduli problem and points on some twisted Shimura varieties of PEL type, Journal of Number Theory 128 (2008), no. 8, 2492-2504. pdf
6. C. Virdol, On the critical values of L-functions of tensor product of base change for Hilbert modular forms, Journal of Mathematics of Kyoto University 49 (2009), no. 2, 347-357. pdf
7. C. Virdol, On the Birch and Swinnerton-Dyer conjecture for elliptic curves over totally real fields, Proceedings of the American Mathematical Society 137 (2009), no. 12, 4019-4024. pdf
8. C. Virdol, Potential modularity for elliptic curves and some applications, Journal of Number Theory 129 (2009), no. 12, 3109-3114. pdf
9. C. Virdol, On L-functions of twisted 4-dimensional quaternionic Shimura varieties, Journal of Mathematics of Kyoto University 50 (2010), no. 2, 269-282. pdf
10. C. Virdol, Algebraic cycles on a product of two Hilbert modular surfaces, Transactions of the American Mathematical Society 362 (2010), no. 7, 3691-3703. pdf
11. C. Virdol, On l-adic representations attached to Hilbert and Picard modular surfaces, Journal of Number Theory 130 (2010), no. 5, 1197-1211. pdf
12. C. Virdol, On Deligne's conjecture for Hilbert motives defined over totally real fields, Journal of Mathematics of Kyoto University 50 (2010), no. 1, 75-81. pdf
13. C. Virdol, On the critical values of L-functions of base change for Hilbert modular forms, American Journal of Mathematics 132 (2010), no. 4, 1105-1111. pdf
14. C. Virdol, Non-solvable base change for Hilbert modular forms and zeta functions of twisted quaternionic Shimura varieties, Annales de la Faculte des Sciences de Toulouse 19 (2010), no. 3-4, 831-848. pdf
15. C. Virdol, On Mazur's conjecture for twisted L-functions of elliptic curves over totally real or CM fields, Glasgow Mathematical Journal, 53 (2011), no. 1, 207-210. pdf
16. C. Virdol, On the Birch and Swinnerton-Dyer conjecture for abelian varieties attached to Hilbert modular forms, Journal of Number Theory, 131 (2011), no. 4, 681-684. pdf
17. C. Virdol, Tate conjecture for twisted Picard modular surfaces, Journal of Number Theory, 131 (2011), no. 6, 1048-1053. pdf
18. C. Virdol, On the Birch and Swinnerton-Dyer conjecture, Acta Arithmetica, 146 (2011), no. 2, 173-176. pdf
19. C. Virdol, Algebraic cycles on compact quaternionic Shimura fourfolds and poles of L-functions, Glasgow Mathematical Journal, 53 (2011), no. 2, 359-367. pdf
20. C. Virdol, Arbitrary potential modularity for elliptic curves over totally real number fields, Functiones et Approximatio, Commentarii Mathematici, to appear. pdf
21. C. Virdol, Tate conjecture for twisted Siegel modular threefolds, Acta Arithmetica, to appear. pdf
22. C. Virdol, Base change and the Birch and Swinnerton-Dyer conjecture, Functiones et Approximatio, Commentarii Mathematici, to appear. pdf
23. C. Virdol, The meromorphic continuation of the zeta function of Siegel modular threefolds over totally real fields, Functiones et Approximatio, Commentarii Mathematici, to appear. pdf
24. C. Virdol, On the critical values of L-functions of base change for Hilbert modular forms II, Functiones et Approximatio, Commentarii Mathematici, to appear. pdf
25. C. Virdol, Tate conjecture for a product of a Hilbert modular surface and a Siegel modular threefold, submitted. pdf
26. C. Virdol, Special values of base change of triple L-functions, submitted. pdf
27. C. Virdol, Cyclicity of CM elliptic curves modulo \wp, submitted. pdf
28. C. Virdol, Square-free orders of CM elliptic curves modulo \wp, submitted. pdf
29. C. Virdol, Primitive points on CM elliptic curves, submitted. pdf
30. C. Virdol, Frobenius fields for elliptic curves over number fields, submitted. pdf
31. C. Virdol, Cyclicity for finite Drinfeld modules, submitted. pdf
32. C. Virdol, Square-free orders for CM Drinfeld modules of rank 2, submitted. pdf
33. C. Virdol, Primitive points on CM Drinfeld modules of rank 2, submitted. pdf
34. C. Virdol, Frobenius fields for non-CM Drinfeld modules of rank 2, submitted. pdf
35. C. Virdol, Cyclicity of finite CM abelian varieties, submitted. pdf
36. C. Virdol, The critical values of L-functions of base change for Hilbert modular forms, submitted. pdf