Curriculum Vitæ and Bibliography

Transcription

1 Kâzım Büyükboduk Koç University, Mathematics Rumeli Feneri Yolu Sarıyer, İstanbul, Turkey phone: fax: kbuyukboduk Curriculum Vitæ and Bibliography Kâzım Büyükboduk Education Ph.D. in Mathematics, Stanford University, Stanford, California Dissertation Title: Kolyvagin Systems over an Iwasawa Algebra Dissertation Adviser: Karl Rubin B.Sc. in Mathematics with High Honors, Bilkent University, Ankara Thesis Title: An Instance of Langlands Correspondence. Thesis Adviser: Alexander Klyachko Research Interests Number Theory and Arithmetic Geometry Iwasawa theoretic aspects Galois representations and their deformations Euler systems and Kolyvagin systems: Investigation of special elements that arise in this context (such as via Stark conjectures, Bloch-Kato conjectures) Honors and Awards EU FP7 Research Grant (100K Euros) William Hodge Fellowship, IHÉS (Awarded to two mathematicians per year; one of them for one educated outside UK) Research and Teaching Assistantship, Stanford University 2001 Alisbah Fellowship (awarded for academic achievement), Bilkent University Fellowship for Academic Excellence, Bilkent University 1998 Silver Medal, International Mathematical Olympiad, Taipei

2 Honors and Awards (continued) 1997 Gold Medal and First Prize, National Mathematical Olympiad, Ankara Invited Talks 12/2010 Mini-course on Euler systems of rank r, HKUST, Hong Kong 10/2010 Journées arithmétiques de Meknés, Workshop L-functions and Arithmetic 10/2010 Cambridge University Number Theory Seminar, Cambridge 09/2010 Boǧaziçi University Math Colloquium, Istanbul 08/2010 Workshop on Algebraic Numbers and L-functions, Antalya 06/2010 London Number Theory Seminar, London 06/2010 Bilkent University Algebraic Geometry Seminar, Istanbul 12/2009 Bilgi University Mathematics Colloquium, Istanbul 09/ nd Math Symposium of Turkish Mathematicians, İzmir 05/2009 Universidad de Talca Coloquio PUC - U. Chile - USACH, Mini-course on Galois Deformations 05/2009 A. Mickiewicz University, Poznan-Nottingham Number Theory Day 04/2009 Keio University, Algebra Seminar, Yokohama 04/2009 Tokyo University, Workshop on Arithmetic Geometry 04/2009 Osaka University, Number Theory Seminar 04/2009 Kyoto University, Mini-workshop on Iwasawa Theory 12/2008 Max-Planck-Institut für Mathematik Number Theory Seminar 06/2008 Pontificia Universidad Católica de Chile Coloquio Conjunto 03/2008 London Number Theory Seminar 02/2008 Université Bordeaux 1; Séminaire de Théorie des Nombres 02/2008 Séminaire Algèbre et Théorie des Nombres de Université de Franche- Comté, Besançon 12/2007 Séminaire de Théorie des Nombres de Chevaleret (Paris VI et VII) 09/2007 Koc University Science-Math Colloquium 06/2007 Caltech Number Theory Seminar 04/2007 UC Irvine Number Theory Seminar 02/2007 UC Berkeley Number Theory Seminar 10/2006 Stanford University Representation Theory Seminar 01/2006 Koc University Science-Math Colloquium

3 Invited Talks (continued) 12/2005 Bilkent University Algebra Seminar 11/2005 Boston University Algebra Seminar Workshops and Conferences 10/2010 Journées arithmétiques de Meknés, Meknes, Morocco 08/2010 Workshop on Algebraic Numbers and L-functions, Antalya 12/2009 Workshop on Cycles and Special Values of L-series, Barcelona, Spain 07/2009 PCMI Summer School on L functions and Arithmetic, Park City, Utah (USA) 06/2009 Clay Mathematics Institute Summer School on Galois representations, Honolulu, Hawaii (USA) 05/2009 Poznan-Nottingham Number Theory Day, Poznan (Poland) 04/2009 Workshop on Arithmetic Geometry, Tokyo (Japan) 04/2009 Mini-workshop on Iwasawa Theory, Kyoto (Japan) 02/2009 Workshop on new methods in Hilberts 10th problem, Bonn (Germany) 07/2008 p-adic Representations of p-adic Groups, Paris (France) 06/2008 Iwasawa 2008, Kloster Irsee (Germany) 07/2007 The Tate conjecture, AIM, Palo Alto, California (USA) 08/2006 Clay Mathematics Institute Summer School on Arithmetic Geometry, Mathemitiches Institut, Göttingen (Germany) 07/2006 Iwasawa 2006, Limoges (France) 06/2006 Instructional Workshop: Automorphic Galois Representations, L- functions and Arithmetic, Columbia University, New York (USA) 01/2006 Introductory Workshop in Rational and Integral Points on Higher- Dimensional Varieties, MSRI, California (USA) 06/2005 Open Questions and Recent Developments in Iwasawa Theory: A conference in honor of Ralph Greenberg s 60th Birthday, Boston University, Boston (USA) 08/2004 Number Theory Conference in Honor of Harold Stark, University of Minnesota, Minneapolis (USA)

4 Teaching Experience Koç University Professor Taught Single and Multivariable Calculus, Algebraic Number Theory, Algebra (Graduate Level) Stanford University Teaching Assistant in the Department of Mathematics Taught sections in calculus, linear algebra and multivariable calculus Course Assistant in the Department of Mathematics Courses included: Ordinary Differential Equations, Applied Group Theory, Functional Analysis, Introduction to Number Theory, (Graduate) Algebra, (Graduate) Complex Analysis 2003 Teaching Assistant Training. Participated in training seminar. Bilkent University Mentor at IMO preparation programs References (Available upon request) Prof. Jan Nekovář, Paris VI Prof. Robert Pollack, Boston University Prof. Karl Rubin, UC Irvine

5 List of Publications and Preprints Thesis Kolyvagin systems over an Iwasawa algebra. Stanford University, 2007 Papers and Preprints (1) Kolyvagin systems of Stark units. J. Reine Angew. Math. 631 (2009), (2) Stark units and the main conjectures over totally real number fields. Compositio Math. 145 (5) (2009) (3) Tamagawa defect of Euler systems. J. Number Theory 129 (2009) (4) Height pairings, Exceptional zeros and Rubin s formula: Multiplicative group. To appear in Comment. Math. Helv. (5) Λ-adic Kolyvagin systems. IMRN, doi: /imrn/rnq186, 66pp. (6) On Euler systems of rank r and their Kolyvagin systems. To appear in Indiana Univ. Math. J. (7) Stickelberger elements and Kolyvagin systems. Submitted, 47pp.