Paula TRETKOFF, Professor

Office: Blocker 641E
E-mail: ptretkoff-at-math.tamu.edu

For my private mathematics Webpage and Blog click -> HERE!

Education

Research Interests

Curriculum Vitae (CV)

Princeton University Press (Yellow Series) Book: Complex Ball Quotients and Line Arrangements in the Projective Plane Click here for more information

 World Scientific Book:  Periods and Special Functions in Transcendence Click here for more information


Files of selected publications (click here)


Some more papers:  
                             Zariski-density of exceptional sets for hypergeometric functions
                            (appeared in Forum Mathematicum (20) 2 (2008), 187-199; joint with P-A Desrousseaux and M.D. Tretkoff)
                            Transcendence of values at algebraic points for certain higher order hypergeometric functions
                            (appeared in IMRN/15278 (61) 2005, 3835-3854; joint with P-A Desrousseaux and M.D. Tretkoff)
                             Transcendence of special values of Pochhamer functions
                             appeared in Int. J. of Number Theory (5) 4 (2009), 667-677; joint with M.D. Tretkoff
                             Transcendence of values of transcendental functions at algebraic points
                             Inaugural Monroe Martin lectures; to appear in JAMI Proceedings 2009, Johns Hopkins
                             appeared in Noncommutative Geometry, Arithmetic, and Related Topics,
                              Proceedings of the 21st JAMI Conference, Baltimore 2009, JHUP (2011), 279-295
                              A transcendence criterion for CM on some families of Calabi-Yau manifolds
                              with Marvin D. Tretkoff, in from Fourier Analysis and Number Theory to Radon
                              Transforms and Geometry - In memory of Leon Ehrenpreis, eds. H.M. Farkas,
                               R.C. Gunning, M.I. Knopp, B.A. Taylor, Developments in Math., Springer (2012).
                               Transcendence and CM on Borcea-Voisin towers of Calabi-Yau manifolds
                               Journal of Number Theory, Volume 152, July 2015, Pages 118-155.
                                K3 surfaces with algebraic period ratios have complex multiplication
                               International J. of Number Theory, Volume No. 11, Issue No. 5, (2015), Pages 1709-1724
                               Transendence of Zeros of Automorphic Forms for Cuspidal Triangle Groups
                                (click on title of paper above to get the version posted to the arXiv) to appear in:
                                 Mathematical Reports of the Academy of Science of the Royal Society of Canada
                            



Some papers in Noncommutative Geometry: 
                             Automorphic Pseudodifferential Operators
                             (joint with Y. Manin and D. Zagier)
                              in Algebraic Aspects of Integrable Systems, Progr. Nonlinear Differential Equations Appl, 26, Birkhauser (1997), 17–47
                             The Gauss-Bonnet Theorem for the noncommutative two torus
                            (posted on the arxiv at http://arxiv.org/abs/0910.0188; joint with A. Connes)
                            (appeared in Noncommutative Geometry, Arithmetic, and Related Topics,
                             Proceedings of the 21st JAMI Conference, Baltimore 2009, JHUP (2011), 141-158)
                             Noncommutative Geometry and Number Theory
                             (Minicourse at Mount Holyoke Meeting on Noncommutative Geometry June 2000, in:
                               Surveys in Noncommutative Geometry, eds. N. Higson, J. Roe, CMI/AMS 2006, 143-189.)