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Curriculum Vitae

Curriculum Vitae

CURRICULUM VITAE CRISTIAN VIRDOL Address Department of Mathematics Office Phone +82-2-2123-2584 Room 208 [email protected] 50 Yonsei-Ro, Seodaemun-Gu http://web.yonsei.ac.kr/virdol/ Seoul 03722

Personal Data Citizenship: Romanian Employment 2013-present Yonsei University, South Korea Associate Professor 2010-2013 , Assistant Professor 2006-2010 , USA Ritt Assistant Professor 2005-2006 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 2018 February Tata Institute of Fundamental Research, India 2017 June Shanghai University, 2017 February-March University of Cape Town, South Africa 2016 July-August , Australia 2016 January-February Victoria University of Wellington, New Zealand 2015 January-February Institut des Hautes Etudes Scientifiques, France 2014 August Institut des Hautes Etudes Scientifiques, France 2014 June-August Max-Planck-Institute fur Mathematik, Germany 2014 January-February Max-Planck-Institute fur Mathematik, Germany 2013 July Institut des Hautes Etudes Scientifiques, France 2012 June Institut des Hautes Etudes Scientifiques, France 2011 June Max-Planck-Institute fur Mathematik, Germany 2010 August-November National University, Taiwan 2010 June-July Max-Planck-Institute fur Mathematik, Germany 2009 May-August Max-Planck-Institute fur Mathematik, Germany 2005-2006 December-January Academia Sinica, Taiwan 2005 July-August University of Sydney, Australia 2004 March-October University of Sydney, Australia 1 CRISTIAN VIRDOL CURRICULUM VITAE Short visits (up to four weeks)

2013 April Shandong University, China 2012 October , Japan 2012 October , Japan 2012 September Yonsei University, South Korea 2012 July , Japan 2012 April , Japan 2012 April Hong Kong University, China 2011 October , Japan 2011 October , Japan 2011 September Yonsei University, South Korea 2011 July , Japan 2011 April Nagoya University, Japan 2011 February-March National Center for Theoretical Sciences (Taipei Office), Taiwan Papers (1) C. Virdol, Zeta functions of twisted modular curves, Journal of the Australian Mathemat- ical 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 Mathematical 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 Mathematics 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 Mathematics 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 quaternionic Shimura varieties, Annales de la Faculte des Sciences de Toulouse 19 (2010), no. 3-4, 831-848. 2 CRISTIAN VIRDOL CURRICULUM VITAE

(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 modular 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, Glasgow 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 Ap- proximatio, 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 Siegel modular threefolds over totally real fields, Functiones et Approximatio, Commentarii Mathematici, 47 (2012), part 2, 143-148. (25) C. Virdol, The meromorphic continuation of the zeta function of a product of Hilbert and Picard modular surfaces over CM-fields, Journal of Number Theory, 133 (2013), no. 1, 123-130. (26) C. Virdol, The critical values of L-functions of CM-base change for Hilbert modular forms, Functiones et Approximatio, Commentarii Mathematici, 49 (2013), no. 2, 221-227. (27) C. Virdol, On the special values of L-functions of CM-base change for Hilbert modular forms, Glasgow Mathematical Journal, 56 (2014), 57-63. (28) 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. (29) C. Virdol, Tate conjecture for some abelian surfaces over totally real or CM number fields, Functiones et Approximatio, Commentarii Mathematici, 52 (2015), no. 1, 57-63. (30) C. Virdol, Cyclic components of abelian varieties (mod ℘), J. Number Theory 159 (2016), 426-433. (31) C. Virdol, Drinfeld modules and subfields of division fields, Houston Journal of Mathemat- ics, 42 (2016), no. 1, 211-221. (32) C. Virdol, Titchmarch divisor problem for abelian varieties of type I, II, III, and IV, Trans. Amer. Math. Soc. 368 (2016), no. 11, 8011-8028. (33) C. Virdol, Artin’s conjecture for abelian varieties, Kyoto Journal of Mathematics, Vol. 56, No. 4 (2016), 737-743. (34) C. Virdol, Cyclicity and Titchmarch divisor problem for Drinfeld modules, Kyoto Journal of Mathematics, Vol. 57, No. 3 (2017), 505-518. (35) C. Virdol, On the Titchmarch divisor problem for abelian varieties, Proceedings of the American Mathematical Society, 145 (2017), no. 9, 3681-3687. (36) C. Virdol, The critical values of L-functions of base change for Hilbert modular forms, Hokkaido Mathematical Journal, to appear. 3 CRISTIAN VIRDOL CURRICULUM VITAE

(37) C. Virdol, Zeta functions of twisted quaternionic Shimura varieties, PhD thesis, UCLA Conferences and workshops attended February 2018 Pune-Mumbai Number Theory Conference, Mumbai, India January 2015 Journee inaugurale du Loboratoire Alexander Grothendieck, IHES, France November 2014 Yonsei University- workshop, Keio University, Japan July 2014 Dynamics and Numbers, Bonn, Germany July 2014 ELEFANT: Emerging Leaders and Evolving Frontiers in Analytic Number Theory, Bonn, Germany June 2014 Conference on Arithmetic Algebraic Geometry on the occasion of Gerd Faltings’ 60th birthday, Bonn, Germany January 2013 Automorphic Representations and Related Topics, RIMS, Japan November 2012 Zetas and limit laws in Okinawa 2012, Okinawa, Japan October 2012 Symposium on arithmetic geometry, Kyushu University, Japan August 2012 Number Theory Conference, Kyushu University, Japan June 2012 Une conference en lhonneur de Gerard Laumon, at Universite Paris-Sud, Orsay, France June 2012 Une conference en lhonneur de Pierre Cartier, IHES, France January 2012 Automorphic forms and automorphic L-functions, RIMS, Japan August 2011 Number Theory Conference, Kyushu University, Japan June 2011 Mathematische Arbeitstangung, MPI Bonn, Germany April 2011 Workshop on L-functions, Kyushu University, Japan June 2009 Mathematische Arbeitstangung, MPI Bonn, Germany July 2007 Workshop on Tate conjecture, American Institute of Mathematics, Palo Alto, USA May 2007 L-functions and automorphic forms, Columbia University, USA November 2006 Conference on automorphic functions, MSRI, UC Berkeley, USA July 2006 Workshop on fake projective planes and arithmetic quotients, July 24-25, Nagoya University, Japan Feb 2006 Conference on L-functions, Kyushu University, Japan August 2003 Current trends in arithmetic geometry and number theory, Banff, Canada March 2003 Workshop on Shimura varieties and related topics, Toronto, Canada March 2003 18th annual workshop of automorphic forms and related topics, Boulder, Colorado, USA July 2002 Park City summer school, Utah, USA March 2002 17th Annual workshop of automorphic forms and related topics, UCLA, USA February 2002 Arizona winter school, Tucson, Arizona, USA July 2001 Modular forms and p-adic Hodge theory, Barcelona, Spain March 2001 16th Annual workshop of automorphic forms and related topics, Palo Alto, USA 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 4 CRISTIAN VIRDOL CURRICULUM VITAE

(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, , 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, Califor- nia, 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, , 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, 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 (47) Number theory seminar, Tohoku University, July 2012 (48) Algebra seminar, Yonsei University, September 2012 (49) Number theory seminar, Waseda University, October 2012 5 CRISTIAN VIRDOL CURRICULUM VITAE

(50) Symposium on arithmetic geometry, Kyushu University, October 2012 (51) Algebra seminar, Kumamoto University, October 2012 (52) Number theory seminar, Kumamoto University, October 2012 (53) Zetas and limit laws in Okinawa 2012, Okinawa, November 2012 (54) Number theory seminar, Shandong University, April 2013 (55) Algebra seminar, Shandong University, April 2013 (56) Yonsei University-Keio University workshop, Keio University, November 2014 (57) Number theory seminar, KIAS (Seoul), September 2015 (58) Algebra seminar, Victoria University of Wellington, January 2016 (59) Number theory seminar, Postech, March 2016 (60) Geometry and Topology seminar, University of Sydney, August 2016 (61) Algebra seminar, University of Cape Town, February 2017 (62) Number theory seminar, Stellenbosh University, February 2017 (63) Lectures series on number theory, , June 2017 (64) Number theory seminar, TIFR, February 2018 (65) Number theory seminar, IISER, Pune, February 2018 Awards 1993 Gold medal at the Balkan Math Olympiad, Cyprus 1992 First Prize at National High School Math Contest, Romania 1994,93,92,91,90,89,88 Various prizes at National Primary and High School Math. Contests, Romania

Grants (1) Period November 2015-2018 National Research Foundation of Korea (NRF) grant. Amount: $ 150000 US (2) Period March 2013-2014 Yonsei University research grant. Amount: $ 40000 US (3) Period December 2010-2015 Kyushu University research grant. Amount: $ 50000 US (4) Period April 2012-March 2016 Kakenhi grant (Japan). Title of the project: ”Automorphic forms, elliptic curves and Shimura varieties” Amount: $ 50000 US

Teaching Experience

2013-present Taught: Calculus, Complex Analysis, Algebraic geometry (graduate level), and Number Theory (graduate level) at Yonsei University 2010-2013 Taught: Elliptic Curves, and Applications to Cryptography (graduate level), at Kyushu University 2006-2010 Taught: Calculus I, Calculus II, Calculus III, and Ordinary Differential Equations, at Columbia University 2000-2005 Taught discussion sessions at UCLA in various subjects: Precalculus, Calculus, Linear Algebra, Discrete Mathematics, Algebra (graduate level) References (1) Professor Haruzo Hida, Department of Mathematics, UCLA. [email protected] (2) Professor Don Blasius, Department of Mathematics, UCLA. [email protected] (3) Professor Shou-Wu Zhang, Department of Mathematics, Princeton University. [email protected] 6 CRISTIAN VIRDOL CURRICULUM VITAE

(4) Professor Eric Jean-Paul Urban, Department of Mathematics, Columbia University. [email protected] [email protected]

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