Dr Paloma Bengoechea
PhD (Paris 6 (Universite Pierre et Marie Curie), France, supervisor: Don Zagier, co-supervisor: Pilar Bayer)
Past staff member
Research InterestsMy research reaches very diverse topics in number theory and Diophantine approximation. I have worked in three different areas in number theory and their interrelations: the theory of modular forms, the theory of continued fractions and reduced binary quadratic forms, and the theory of complex multiplication. Since my postdoctoral position I have been working also in metric number theory, particularly in the p-adic Littlewood conjecture and in the sets of badly approximable numbers (and their intersection with manifolds) in twisted Diophantine approximation. I am co-organising the Number Theory seminarcontact me if you would like to give a talk
Teaching
Publications and preprintsSubmitted
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Submitted.
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Submitted.
In Press
On the Mixed Littlewood Conjecture and continued fractions in fixed quadratic fields. Journal of Number Theory.
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In Press.
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In Press.
Galois action on special theta values. Journal de Théorie des Nombres de Bordeaux.
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In Press. 2015
Meromorphic analogues of modular forms generating the kernel of Shimura's lift. Mathematical Research Letters. 22(2):337-352.
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2015.
From quadratic polynomials and continued fractions to modular forms. Journal of Number Theory. 147:24-43.
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2015. DissertationPh.D Thesis: Corps quadratiques et formes modulaires, Universite Pierre et Marie Curie (Paris 6), 2013. Research talksThe following is a list of seminars and meetings where I have given invited research talks. It also includes upcoming talks. Pure Mathematics Seminar, University of Reading. March 2016. Heilbronn Seminar, Bristol. March 2016. Number Theory Seminar, University of Warwick. March 2016. Pure Mathematics Seminar, Exeter University. February 2016. Number Theory and Geometry Seminar, University of Nottingham. February 2016. Séminaire de théorie des nombres, Institut Fourier, Grenoble. January 2016. Seminari de Teoria de Nombres de Barcelona (STNB), Barcelona. January 2016. Conference: "Arithmetic geometry: explicit methods and applications", Moscow. 7-11 December. 2015. Séminaire d'Algèbre et de Théorie des Nombres, EPFL, Lausanne. December 2015. Séminaire tournant de théorie des nombres, Lyon. October 2015. Arithmetic Study Group, Durham University. December 2014. Newton Institute for Mathematical Sciences Seminar, Cambridge. July 2014. Number Theory Seminar, University of Cologne. June 2014. Logic and Number Theory Seminar, University of Oxford. February 2014. Algebra, geometry and number theory seminar, Leiden. May 2013. Heilbronn Seminar, Bristol. May 2013. Number Theory and Physics Seminar of Bonn-Koeln, Max Planck Institute for Mathematics, Bonn. May 2013. Tercera jornada SCM de jovenes matematicos investigadores, Barcelona. October 2012. Casual PhD Seminar (Seminaire des Bourbakettes), Institut de Mathématiques de Jussieu, Paris. May 2010. Study group: Cohomologie des groupes, Institut de Mathématiques de Jussieu, Paris. February 2010. Seminari de Teoria de Nombres de Barcelona (STNB), Barcelona. January 2008. |
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