CURRICULUM VITAE CRISTIAN VIRDOL Address Yonsei University Department of Mathematics Office Phone +82-2-2123-2584 Room 208 [email protected] Seoul 120-749 www2.math.kyushu-u.ac.jp/ virdol/ Korea Personal Data Citizenship: Romanian Employment 2013-present Yonsei University, South Korea Associate Professor 2010-2013 Kyushu University, Japan Assistant Professor 2006-2010 Columbia University, USA Ritt Assistant Professor 2005-2006 Nagoya University, Japan Researcher Education 1999-2005 UCLA, USA Ph. D. in Mathematics Advisor: Haruzo Hida 1994-1998 Bucharest University, Romania B.A. in Mathematics Visiting Positions 2014 January-February Max-Planck-Institut fur Mathematik, Germany 2013 July Institut des Hautes Etudes Scientifiques, France 2012 June Institut des Hautes Etudes Scientifiques, France 2011 June Max-Planck-Institut fur Mathematik, Germany 2010 August-November National Taiwan University, Taiwan 2010 June-July Max-Planck-Institut fur Mathematik, Germany 2009 May-August Max-Planck-Institut fur Mathematik, Germany 2005-2006 December-January Academia Sinica, Taiwan 2005 July-August University of Sydney, Australia 2004 March-October University of Sydney, Australia Short visits (up to four weeks) 2013 April Shandong University, China 2012 October Kumamoto University, Japan 2012 October Waseda University, Japan 2012 September Yonsei University, South Korea 2012 July Tohoku University, Japan 2012 April Osaka University, Japan 2012 April Hong Kong University, China 2011 October Rikkyo University, Japan 2011 October Kyoto University, Japan 2011 September Yonsei University, South Korea 2011 July Sophia University, Japan 2011 April Nagoya University, Japan 2011 February-March National Center for Theoretical Sciences (Taipei Office), Taiwan 1 CRISTIAN VIRDOL CURRICULUM VITAE Papers (1) C. Virdol, Zeta functions of twisted modular curves, Journal of the Australian Mathematical Society 80 (2006), no. 1, 89-103. (2) C. Virdol, Tate classes and L-functions of twisted quaternionic Shimura surfaces, Journal of Number Theory 123 (2007), no. 2, 315-328. (3) C. Virdol, On L-functions of twisted 3-dimensional quaternionic Shimura varieties, Nagoya Mathemat- ical Journal 190 (2008), 87-104. (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. (5) C. Virdol, Moduli problem and points on some twisted Shimura varieties of PEL type over finite fields, Journal of Number Theory 128 (2008), no. 8, 2492-2504. (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. (7) C. Virdol, On the Birch and Swinnerton-Dyer conjecture for elliptic curves over totally real number fields, Proceedings of the American Mathematical Society 137 (2009), no. 12, 4019-4024. (8) C. Virdol, Potential modularity for elliptic curves and some applications, Journal of Number Theory 129 (2009), no. 12, 3109-3114. (9) C. Virdol, On L-functions of twisted 4-dimensional quaternionic Shimura varieties, Journal of Mathe- matics of Kyoto University 50 (2010), no. 2, 269-282. (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. (11) C. Virdol, On l-adic representations attached to Hilbert and Picard modular surfaces, Journal of Number Theory 130 (2010), no. 5, 1197-1211. (12) C. Virdol, On Deligne’s conjecture for Hilbert motives defined over totally real fields, Journal of Mathe- matics of Kyoto University 50 (2010), no. 1, 75-81. (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. (14) C. Virdol, Non-solvable base change for Hilbert modular forms and zeta functions of twisted quater- nionic Shimura varieties, Annales de la Faculte des Sciences de Toulouse 19 (2010), no. 3-4, 831-848. (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. (16) C. Virdol, On the Birch and Swinnerton-Dyer conjecture for abelian varieties attached to Hilbert modu- lar forms, Journal of Number Theory, 131 (2011), no. 4, 681-684. (17) C. Virdol, Tate conjecture for twisted Picard modular surfaces, Journal of Number Theory, 131 (2011), no. 6, 1048-1053. (18) C. Virdol, On the Birch and Swinnerton-Dyer conjecture, Acta Arithmetica, 146 (2011), no. 2, 173-176. (19) C. Virdol, Algebraic cycles on compact quaternionic Shimura fourfolds and poles of L-functions, Glas- gow Mathematical Journal, 53 (2011), no. 2, 359-367. (20) C. Virdol, Tate conjecture for twisted Siegel modular threefolds, Acta Arithmetica, 149 (2011), no. 3, 297-303. (21) C. Virdol, Arbitrary potential modularity for elliptic curves over totally real number fields, Functiones et Approximatio, Commentarii Mathematici, 45 (2011), part 2, 265-269. (22) C. Virdol, Base change and the Birch and Swinnerton-Dyer conjecture, Functiones et Approximatio, Commentarii Mathematici, 46 (2012), part 2, 189-194. (23) C. Virdol, On the critical values of L-functions of base change for Hilbert modular forms II, Functiones et Approximatio, Commentarii Mathematici, 47 (2012), part 1, 7-13. (24) C. Virdol, The meromorphic continuation of the zeta function of a product of Hilbert and Picard modu- lar surfaces over CM-fields, Journal of Number Theory, 133 (2013), no. 1, 123-130. (25) C. Virdol, The critical values of L-functions of CM-base change for Hilbert modular forms, Funct. Ap- prox. Comment. Math. 49 (2013), no. 2, 221-227. (26) C. Virdol, On the special values of L-functions of CM-base change for Hilbert modular forms, Glasgow Mathematical Journal, 56 (2014), 57-63. (27) C. Virdol, Tate conjecture for a product of a Shimura curve and a Picard modular surface , Proceedings of the American Mathematical Society, 142 (2014), no. 3, 827-834. 2 CRISTIAN VIRDOL CURRICULUM VITAE (28) C. Virdol, The meromorphic continuation of the zeta function of Siegel modular threefolds over totally real fields, Functiones et Approximatio, Commentarii Mathematici, to appear. (29) C. Virdol, The critical values of L-functions of base change for Hilbert modular forms, submitted. (30) C. Virdol, Tate conjecture for some abelian fourfolds over totally real or CM number fields. submitted. (31) C. Virdol, Zeta functions of twisted quaternionic Shimura varieties, PhD thesis, UCLA Presentations (1) Number theory seminar, UCLA (lectures on different topics: class field theory, elliptic curves, Langlands program) (15 hours) (2) 18th Annual workshop of automorphic forms and related topics, Boulder, Colorado, March 2003 (3) Number theory seminar, UCI, June 2003 (4) Number theory seminar, UCLA, November 2003 (5) Number theory seminar, University of Sydney, March 2004 (6) Number theory seminar, University of Sydney, August 2004 (7) Number theory seminar, Imperial College, London, March 2005 (8) Algebra seminar, University of Sydney, August 2005 (9) Number theory seminar, Nagoya University, October 2005 (10) Number theory seminar, University of Tokyo, November 2005 (11) Number theory seminar, Academia Sinica, Taiwan, December 2005 (12) Number theory seminar, National Taiwan University, January 2006 (13) Number theory seminar, Academia Sinica, Taiwan, January 2006 (14) Number theory seminar, Nagoya University, June 2006 (15) Number theory seminar, Nagoya University, June 2006 (16) Number theory seminar, Nagoya University, June 2006 (17) Workshop on fake projective planes and arithmetic quotients, Nagoya, Japan, July 2006 (18) Number theory seminar, Columbia University, April 2007 (19) Workshop on Tate conjecture, American Institute of Mathematics, Palo Alto, California, July 2007 (20) Number theory seminar, Florida State University, January 2008 (21) Number theory seminar, McGill University, December 2008 (22) Number theory seminar, Imperial College, London, January 2009 (23) Number theory seminar, University College Dublin, April 2009 (24) Number theory seminar, Max-Planck Institute, Bonn, June 2009 (25) Number theory seminar, University of Sydney, October 2009 (26) Number theory seminar, McMaster University, November 2009 (27) Number theory seminar, University of Alberta, January 2010 (28) Number theory seminar, CUNY, March 2010 (29) Number theory seminar, University of Queensland, May 2010 (30) Lectures series on number theory, National Tsing Hua University, September 2010 (31) Algebra Seminar, Kyushu University, January 2011 (32) Number Theory seminar, National Taiwan University, February 2011 (33) Workshop on L-functions, Kyushu University, April 2011 (34) Algebra seminar, Nagoya University, April 2011 (35) Number theory seminar, Kyushu University, May 2011 (36) Number theory seminar, University of Koln, June 2011 (37) Number theory seminar, Sophia University (Tokyo), July 2011 (38) Algebra seminar, Yonsei University (Seoul), September 2011 (39) Algebra seminar, KIAS (Seoul), September 2011 (40) Number theory seminar, Kyoto University, October 2011 (41) Number theory seminar, Rikkyo University (Tokyo), October 2011 (42) Number theory seminar, Kyushu University, December 2011 (43) Automorphic forms and automorphic L-functions, RIMS, January 2012 (44) Number theory seminar, Hong Kong University, April 2012 (45) Algebra seminar, Hong Kong University, April 2012 (46) Number theory seminar, Osaka University, April 2012 3 CRISTIAN VIRDOL