Emanuel Carneiro   Ph.D. Candidate in Mathematics
The University of Texas at Austin                                                                      Department of Mathematics  1 University Station C1200  Austin, TX – 78712    Office: RLM 10.104  Phone: 512-4759140  Email: ecarneiro@math.utexas.edu  Curriculum Vitae: PDF

 

 

Research Interests:

 

Analysis and its applications to Partial Differential Equations, Approximation Theory and Number Theory.

 

List of Publications:

1. On the regularity of maximal operators (with D. Moreira), Proc. Amer. Math. Soc. 136 (2008), 4395-4404. arXiv:0809.4044.

2. Sharp approximations to the Bernoulli periodic functions by trigonometric polynomials, J. Approx. Theory 154 (2008), 90-104. arXiv:0809.4049.

3. Some extremal functions in Fourier analysis, II  (with J. Vaaler), to appear in Trans. Amer. Math. Soc. arXiv:0809.4050.

4. Some extremal functions in Fourier analysis, III (with J. Vaaler), to appear in Constructive Approximation. arXiv:0809.4053.

5. A sharp inequality for the Strichartz norm, to appear in Int. Math. Res. Not. IMRN. arXiv:0809.4054.

6. Estimates for the Boltzmann collision operator via radial symmetry and Fourier transform (with R. Alonso), submitted. arXiv:0812.3168.

7. Convolution inequalities for the Boltzmann collision operator (with R. Alonso and I. Gamba), submitted. arXiv:0902.0507.

8. Some extremal functions in Fourier analysis, IV (with F. Littmann and J. Vaaler), preprint under final preparation.

Conferences and Seminar Talks

 

Teaching (no teaching in the academic year 2008/2009)

Math Olympiads Corner

Links:

·        Genealogy Mathematics Project 

·        Instituto de Matematica Pura e Aplicada - IMPA  (Brazil)

·        Federal University of Ceara – Department of Mathematics (Brazil)

·        Olimpiada Brasileira de Matematica - OBM 

·        Grupo Teorema de Matematica

·        Diego Moreira webpage

·        Fred Girao webpage