Emanuel Carneiro - Webpage

Contact information

Affiliation	PhD Candidate in Mathematics, University of Texas at Austin
Address	Department of Mathematics, 1 University Station C1200 Austin, TX 78712-0257 - USA
Office	RLM 10.104
Phone	(512) - 475 - 9140
Email	ecarneiro@math.utexas.edu
Curriculum vitae	PDF

Gauss' grave - Gottingen, Germany.

Research Interests

Harmonic analysis and its applications to analytic number theory, approximation theory and partial differential equations.

Papers and Preprints

Estimates for the Boltzmann collision operator via radial symmetry and Fourier transform (with R. Alonso). In preparation.
Some extremal functions in Fourier analysis, III (with J. Vaaler). Submitted.
Some extremal functions in Fourier analysis, II (with J. Vaaler). Submitted. PDF
Sharp approximations to the Bernoulli periodic functions by trigonometric polynomials, Journal of Approx. Theory, to appear. PDF
On the regularity of maximal operators (with D. Moreira), Proc. Amer. Math. Soc., to appear. PDF

Conference and Seminar Talks

Some extremal functions in Fourier analysis - 24th Southeastern Analysis Meeting - Vanderbilt University - Nashville, TN. - March 2008. (see the slides - thanks to my friend Eric Baer for the help with the pictures).
On the regularity of maximal operators - 2nd Workshop of Harmonic Analysis and PDE - Merida, Mexico, February 2008. (see the slides)
Some extremal functions in Fourier analysis - Colloquium - Federal University of Ceara- Brazil - August 2007.
The multiplier problem for the ball and the Bochner-Riesz conjecture (candidacy talk) - Analysis Seminar - Univ. of Texas at Austin - December 2006 (see the slides).

Books - Math Olympiads

I started to like math participating in math competitions(1994-1998). In two occasions I went to the IMO (Argentina'97 and Taiwan'98). I am a member of the Brazilian Mathematical Olympiad (OBM), and I have participated on the OBM summer program as an instructor in the period 1999-2005. In two occasions I was the leader of the Brazilian team in the South American Competition (Peru'03 and Bolivia'05).

This fall 2006, I am publishing two books (with Onofre Campos e Max Paiva) celebrating the 25 years of the Ceara State Mathematical Olympiad (1981-2005), containing all the problems and solutions of these 50 exams (there are two levels - junior and senior). For more information on the books go to www.grupoteorema.mat.br

Publications:

Emanuel Carneiro, Onofre Campos and Max Paiva, Olimpiada Cearense de Matematica, 1981 - 2005, Junior, Edicoes Realce Editora e Grafica, 2006, 186 pp.
Emanuel Carneiro, Onofre Campos and Max Paiva, Olimpiada Cearense de Matematica, 1981 - 2005, Senior. , Edicoes Realce Editora e Grafica, 2006, 242 pp.
Emanuel Carneiro, Frederico Girao, Applications of the Center of Gravity to Geometry, Revista Eureka 21 2005, pp 29-37.
Emanuel Carneiro, Math Olympiads: a path to the future (how to start a project and 50 problems for beginners), Proceedings of the II Bienal of the Brazilian Mathematical Society, 2004 - Salvador - BA.

Here is much more material of some of my lectures (1999-2005).