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About myself

 

·       I am currently a Marie Curie Fellow (Intra-European Fellowship within the 7th European Community Framework Programme, Project ANERAUTOHI, grant agreement number PIEF-GA-2009-25271) at ETH Zürich.

·       I have a permanent position (Maître de Conférences Habilité à Diriger des Recherches namely tenured assistant professor) at Université Bordeaux 1 since September 2005.

·       I was  formerly a postdoctoral fellow at Université de Montréal (Québec, Canada) under the direction of A. Granville.

·       Before that, I did my thesis at Université de Montpellier 2 (France) and my advisor is P. Michel.

·       Of course, my mathematical research is in the area of analytic number theory but I also have some knowledge of the theory of automorphic forms and I plan to enlarge my skills especially in ergodic theory.

 


 
My current attempts



·       I get recently interested in discrete quantum chaos on quantum graphs, especially these induced from interval exchange maps.

·       I get recently interested in the analytic aspects of GL(3)-automorphic forms and in particular the infinite norm of automorphic forms in the eigenvalue aspect jointly with Roman Holowinsky and Emmanuel Royer.

·       I get recently interested in the analytic aspects of GSp(4)-automorphic in the eigenvalue aspect and GL(2)-automorphic forms in the discriminant aspect.

·       I get recently interested in the analytic aspects of GL(2)-automorphic forms in the weight aspect jointly with Harald Helfgott, Emmanuel Kowalski and Abhishek Saha.

 

 

In the course of drafting

 

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(Pre)publications




·       Guillaume Ricotta and Harald Helfgott, A new bound for the sup-norm of automorphic forms on non-compact modular curves in the level aspect.

·       Guillaume Ricotta and (at least) 39 co-authors, An explicit density estimate, submitted.

·       Guillaume Ricotta and Ivan Fesenko and Masatoshi Suzuki, Mean-periodicity and zeta functions, to be published in Annales de l’Institut Fourier.

·       Guillaume Ricotta and Emmanuel Royer, Statistics for low-lying zeros of symmetric power L-functions in the level aspect, published in Forum Mathematicum 23, 969—1028 (2011).

·       Guillaume Ricotta and Emmanuel Royer, Lower order terms for the one-level densities of symmetric power L-functions in the level aspect, published in Acta Arithmetica 141, no. 2, 153—170 (2010).

·       Guillaume Ricotta and Nicolas Templier, Comportement asymptotique des hauteurs des points de Heegner, published in Journal de théorie des nombres de Bordeaux 21, no. 3, 741—753 (2009).

·       Guillaume Ricotta and Peng Gao and Rizwan Khan, The second moment of Dirichlet twists of Hecke L-functions, published in Acta Arithmetica 140, 57--65 (2009).

·       Guillaume Ricotta, On the expected result for the second moment of twisted L-functions, published in Mathematisches Forschungsinstitut Oberwolfach, Report No. 33/2009, Explicit Methods in Number Theory (July 12th-July 22nd), 14--16 (2009).


·       Guillaume Ricotta and Thomas Vidick, Hauteur asymptotique des points de Heegner, published in Canadian Journal of Mathematics, Vol. 60, No. 6, 1406—1436 (2008).

 

·       Guillaume Ricotta, Statistics for low-lying zeros of Hecke L-functions in the level aspect, published in Mathematisches Forschungsinstitut Oberwolfach, Report No. 34/2007, Explicit Methods in Number Theory (July 15th-July 21st), 19--24 (2007).

·       Guillaume Ricotta, Real zeros and size of Rankin-Selberg L-functions in the level aspect, published in Duke Mathematical Journal, Vol. 131, No. 2 (2006), 291--350.

 

 

 

 

My thesis

 

My master degree