Emanuel A.S. Carneiro Ph.D. in Mathematics

Transcription

1 CURRICULUM VITAE AUGUST 2015 Emanuel A.S. Carneiro Ph.D. in Mathematics IMPA - Instituto de Matemática Pura e Aplicada Estrada Dona Castorina, 110, Rio de Janeiro Brazil Contact: carneiro@impa.br Webpage: carneiro PERSONAL Citizenship Brazilian. Born in October 30, EDUCATION Ph.D. in Mathematics The University of Texas at Austin. Thesis: Extremality, Symmetry and Regularity Issues in Harmonic Analysis. Advisors: William Beckner and Jeffrey Vaaler. Master of Sciences in Mathematics Universidade Federal do Ceará - Brazil. Bachelor Degree in Mathematics (Summa Cum Laude) Universidade Federal do Ceará - Brazil. APPOINTMENTS IMPA - Rio de Janeiro, Assistant Professor, McKinsey and Company, Associate Consultant, Institute for Advanced Study, Princeton, Post-Doctoral Member, RESEARCH PUBLICATIONS 1. On the regularity of maximal operators (with D. Moreira), Proc. Amer. Math. Soc. 136 (2008), Sharp approximations to the Bernoulli periodic functions by trigonometric polynomials, J. Approx. Theory 154 (2008), A sharp inequality for the Strichartz norm, Int. Math. Res. Not. IMRN 16 (2009), Some extremal functions in Fourier analysis, II (with J. D. Vaaler), Trans. Amer. Math. Soc. 362 (2010), Some extremal functions in Fourier analysis, III (with J. D. Vaaler), Const. Approx. 31, No. 2 (2010), Sharp estimates for the Boltzmann collision operator via radial symmetry and Fourier transform (with R. Alonso), Adv. Math. 233, No. 2 (2010), Convolution inequalities for the Boltzmann collision operator (with R. J. Alonso and I. M. Gamba), Comm. Math. Phys. 298, No. 2 (2010), Bounding ζ(s) in the critical strip (with V. Chandee), J. Number Theory 131 (2011), On a discrete version of Tanaka s theorem for maximal functions (with J. Bober, K. Hughes and L. Pierce), Proc. Amer. Math. Soc. 140 (2012), On the endpoint regularity of discrete maximal operators (with K. Hughes), Math. Res. Lett. 19, No. 6 (2012),

2 11. Gaussian subordination for the Beurling-Selberg extremal problem (with F. Littmann and J. D. Vaaler), Trans. Amer. Math. Soc. 365 (2013), On the variation of maximal operators of convolution type (with B. F. Svaiter), J. Funct. Anal. 265 (2013), Bounding S(t) and S 1 (t) on the Riemann hypothesis (with V. Chandee and M. Milinovich), Math. Ann. 356, No. 3 (2013), Bandlimited approximations to the truncated Gaussian and applications (with F. Littmann), Const. Approx. 38, No. 1 (2013), Entire approximations for a class of truncated and odd functions (with F. Littmann), J. Fourier Anal. Appl. 19 (2013), Extremal functions in de Branges and Euclidean spaces (with F. Littmann), Adv. Math. 260 (2014), Extremal problems in de Branges spaces: the case of truncated and odd functions (with F. Gonçalves), Math. Z. 280 (2015), A note on the zeros of zeta and L-functions (with V. Chandee and M. Milinovich), Math. Z., 281 (2015), Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function (with V. Chandee, F. Littmann and M. Milinovich), J. Reine Angew. Math., to appear. 20. Some sharp restriction inequalities on the sphere (with D. Oliveira e Silva), Int. Math. Res. Not. IMRN, to appear. 21. On the argument of L-functions (with R. Finder), Bull. Braz. Math. Soc., to appear. 22. Extremal functions in de Branges and Euclidean spaces, II (with F. Littmann), Amer. J. Math., to appear. 23. Derivative bounds for fractional maximal functions (with J. Madrid), preprint. MONOGRAPHS, BOOKS AND THESES 1. A survey on Beurling-Selberg majorants and some consequences of the Riemann hypothesis, Mat. Contemp. 40 (2011), Entire functions of exponential type and the Riemann zeta-function, VI ENAMA, Aracaju, Brazil, Olimpíadas Cearenses de Matemática a Volumes I and II (with O. Campos and F. Paiva), SBM, Extremality, symmetry and regularity issues in harmonic analysis, Ph.D. Thesis, The University of Texas at Austin, 2009, 113 pp. AWARDS AND HONORS Simons Associate Member of ICTP - Trieste, Affiliated Member of the Brazilian Academy of Sciences, Membership of the Institute for Advanced Study, Princeton, NJ in 2009/2010. Frank Gerth III Outstanding Dissertation Award - The Univ. of Texas at Austin Frank Gerth III Teaching Award - The Univ. of Texas at Austin - Fall Frank Gerth III Graduate Excellence Award - The Univ. of Texas at Austin - Fall International Mathematical Olympiad (IMO) - Bronze Medal (Argentina) and 1998 (Taiwan) - received and honored by the President of Brazil, Fernando Henrique Cardoso, in Brasilia D.F., August 13 of Iberoamerican Math Olympiad - Gold Medal (Mexico) and 1998 (Dominican Rep.). GRANTS AND FELLOWSHIPS 2

3 CNPq Researcher Pq 1D Faperj Junior Scientist CNPq Researcher Pq CNPq Universal Grant Harmonic Analysis and Applications / Period: CNPq Universal Grant Extremal Problems in Harmonic Analysis and Applications / Period: J. Tinsley Oden Visitor Faculty Fellowship - Univ. of Texas at Austin Homer Lindsey Bruce Endowed Fellowship - Univ. of Texas at Austin /2009. Clay Mathematics Institute Grant - Zurich, Switzerland - Summer School NSF Graduate Research Assistantship - Univ. of Texas at Austin - Summer Univ. of Texas Continuing Fellowship /2008. Clay Mathematics Institute Grant - Göttingen, Germany - Summer School Regents Graduate Fellowship in Mathematics - The Univ. of Texas At Austin David Bruton Jr. Fellowship - Univ. of Texas at Austin - Fall CAPES/Fulbright Ph.D. Fellowship CNPq M. Sc. Fellowship RECENT INVITED ADDRESSES Department Colloquium, PUC - Rio de Janeiro, May Real and Harmonic Analysis, Oberwolfach, Germany, July Workshop on Real Analysis, Hausdorff Institute of Mathematics, Bonn, Germany, July Number Theory at Illinois, a conference in honor of the Batemans and H. Halberstam, June Number Theory Seminar, University of Mississippi, May V International Conference in Computational and Applied Harmonic Analysis, Vanderbilt University, May 2014 Number Theory Seminar, University of Oregon, May Analysis Seminar, University of Oregon, May Analysis/PDE Seminar, Oregon State University, May Department Colloquium, University of Oregon, May Department Colloquium, USP - São Paulo, April PDE Seminar, Unicamp, Campinas, October CIMPA summer school New trends in applied harmonic analysis, Mar del Plata, Argentina, August I Mathematical Congress of Americas, Number Theory Session, Guanajuato, Mexico, August Analysis/PDE Session, XXIX Brazilian Colloquium of Mathematics, IMPA - Rio de Janeiro, July Number Theory Seminar, UnB, Brasilia, June XXXVII Symposium on Real Analysis, São Carlos, June Analysis/PDE Seminar, Université Pierre et Marie Curie, Paris VI - Jussieu, France, April Analysis Seminar, University of Edinburgh, UK, March

4 Number Theory Seminar, Oxford University, UK, March Plenary talk, II Colóquio de Matemática da Região Norte, Santarém - PA, Feb Department Colloquium, North Dakota State University, USA, Dec Number Theory Seminar, Univ. of Texas at Austin, USA, Dec Analysis/PDE Seminar, Univ. of Texas at Austin, USA, Nov VI ENAMA, Aracaju - SE, Nov Department Colloquium, USP, São Carlos, June Department Colloquium, UFSC, Florianópolis, May GRADUATE STUDENTS Current students: 1. Felipe Gonçalves, Ph.D. expected in Jose Ramon Padilla, Ph.D. expected in Renan Finder, Ph.D. expected in Mateus Sousa, Ph.D. expected in Carlos Andrés Chirre, Ph.D. expected in Past students: 1. Renan Finder, M.Sc. completed in PAST TEACHING AT IMPA PDE I - Aug-Nov Functional Analysis - Summer 2012 Harmonic Analysis - Aug-Nov Analytic Number Theory - Summer Topics in Analysis: Hilbert spaces of entire functions - Aug-Nov Functional Analysis - Summer Spectral Theory - Mar-Jun Analytic Number Theory - Summer Harmonic Analysis - Mar-Jun ACADEMIC SERVICE Editorial Board: IMPA Monographs - Springer. Organization of events: Analysis/PDE Session - Brazilian Colloquium of Mathematics - IMPA ; Harmonic Analysis Session - Brazilian Colloquium of Mathematics - IMPA ; International Conference in Number Theory and Physics - IMPA ; Thematic Program Current Trends in Analysis and Partial Differential Equations - IMPA ; International Workshop on Elliptic and Kinetic PDEs - IMPA ; International Conference on Current Trends in Analysis and Partial Differential Equations - IMPA ; School of High Studies CAPES - featuring Luis Caffarelli - IMPA ; Executive Committee of the International Congress of Mathematicians - Rio de Janeiro

5 Referee service: Adv. Math., Bull. Braz. Math. Soc., Bull. London Math. Soc., J. Approx. Theory, J. Funct. Anal., J. Math. Anal. App., Proc. Amer. Math. Soc., Proc. London Math. Soc., Trans. Amer. Math. Soc. Committees: Graduate School Committee at IMPA; Expansion Committee at IMPA; Brazilian Math. Olympiad Committee. 5