Diogo Oliveira e Silva

Email: dosilva at math dot berkeley dot edu Office: 1075 Evans I am a PhD student in the UC Berkeley Math Department and I am broadly interested in mathematical analysis. My research has focused on harmonic analysis with special emphasis on the role played by oscillatory integrals. I passed my qual on July 9th, 2008; here is my syllabus. I have been funded by FCT (Fundação Para a Ciência e a Tecnologia), Portugal. My advisor is Michael Christ. I graduated from Universidade do Porto in July 2006 with a B.S. in mathematics. Here is my CV and research statement.

Spring 2012 

• Teaching: This semester I am the GSI for Math 202B (Introduction to Topology and Analysis) taught by Professor Marc Rieffel. If you are taking this course come to my office during office hours (Fridays 2-4) and introduce yourself. Here is a useful link about the different modes of convergence discussed in class. Also, you might find this interesting.
• Math 212: Several Complex Variables (Maciej Zworski)
• Math 258: Classical Harmonic Analysis (Michael Christ)
• HADES

Papers and Preprints 

3. D. Oliveira e Silva, "Extremals for a Fourier restriciton inequality: planar curves" (in preparation).
   
   
2. M. Christ, D. Oliveira e Silva, "On Trilinear Oscillatory Integrals" (arXiv:1107.2495).
   
   
1. A. Guedes de Oliveira, D. Oliveira e Silva, "Note on the integer geometry of bitwise XOR", European Journal of Combinatorics 26 (2005), no. 5, 755-763.
   
   

Some non-technical papers (in Portuguese) 

3. D. Oliveira e Silva, "O que é um círculo?" (to appear in Proceedings IST).
   
   
2. D. Oliveira e Silva, "Volta ao Mundo em 45 Minutos", Seminário Diagonal, Proceedings IST, III, pp. 85-99, Nov 2006.
   
   
1. D. Oliveira e Silva, "Cordas, Cabos e Outros Objectos Dependurados", Gazeta de Física, Volume 26, Issues 2-3, pp. 26-31, 2003.
   
   

Selected Talks 

9. 12 Sep 2011 : [Notes] [Slides] Lp estimates for the Hilbert transform along a one-variable vector field . Summer School in Geometric and Fourier analytic question in Euclidean space. Lake Arrowhead, CA.
   
   
8. 22 Jun 2011: [Notes] On trilinear oscillatory integrals. Analysis, Geometry and Dynamical Systems Seminar. IST, Lisbon, Portugal.
   
   
7. 4 Oct 2010 : [Notes1][Notes2] [Slides] Sharp A2 inequality for Haar shift operators. Summer/Fall School in Weighted estimates for singular integrals. Lake Arrowhead, CA.
   
   
6. 27 Apr 2010: [Notes] The restriction problem. Student Harmonic Analysis and PDE Seminar. Berkeley, CA.
   
   
5. 28 Jun 2009: [Notes] [Slides] On nonsingular multilinear oscillatory integrals. Summer School in Harmonic Analysis. Snowbird, UT.
   
   
4. 18 Mar 2009: [Notes] The Brunn-Minkowski inequality and some consequences. Student Harmonic Analysis and PDE Seminar. Berkeley, CA.
   
   
3. 24 Sep 2008: [Notes] On the size of Kakeya sets. Ergodic Theory/Additive Combinatorics/Harmonic Analysis Student Seminar. Berkeley, CA.
   
   
2. 14 Apr 2006: Round the world in 45 minutes. ETH Zurich, Switzerland.
   
   
1. 20 Sep 2003: Much Ado About Sets. Annual meeting of the program Novos Talentos em Matemática. Luso, Portugal.
   
   

Past Activities (at Berkeley) 

• Fall '11: GSI for Math 202A (Introduction to Topology and Analysis, Steve Evans)
  
• Fall '10 and Spring '11: Co-organizer (with B. Ettinger) of the Harmonic Analysis and Differential Equations Seminar (HADES)
  
• Fall '07 and Spring '08: Co-organizer (with S. Lin) of the Mentor Lecture Series
  
• Spring '07: GSI for Math 1B (Calculus 2, Marina Ratner)
  
• Fall '06: GSI for Math 1A (Calculus 1, Richard Borcherds)
  

Think you might know me from somewhere? Try... 

• Summer School in Geometric and Fourier analytic question in Euclidean space, Lake Arrowhead, CA, Sep 2011
• Oscillatory integrals in harmonic analysis, Edinburgh, UK, Jun 2011
• "Analysis and Applications", Princeton, NJ, May 2011
• Journée d'Analyse Harmonique, Orsay, France, Jan 2011
• Southern California Analysis and PDE meeting, UCLA, Nov 2010
• Summer/Fall School in Weighted estimates for singular integrals, Lake Arrowhead, CA, Oct 2010
• O Gosto pela Matemática - Uma Década de Talentos, Lisbon, Portugal, Jul 2010
• Harmonic Analysis and Related Topics, Lisbon, Portugal, Jun 2010
• Harmonic Analysis and Applications, Seville, Spain, Jun 2010
• Joint Mathematics Meetings, San Francisco, CA, Jan 2010
• MRC Summer School in Harmonic Analysis, Carleson Theorems and Multilinear Analysis, Snowbird, UT, Jun 2009
• "The Power of Analysis", Princeton, NJ, May 2009
• Erasmus in TU-Berlin, Germany, Fall 2005
• "EuroAcademy 2005", Cape Sounion, Greece, Oct 2005
• Encontro Nacional de Novos Talentos em Matemática, Luso, Portugal, Sep 2005
• "Escola Diagonal", Lisbon, Portugal, Sep 2005
• Santander Summer School on Security, VU Amsterdam, Netherlands, July 2005
• "Math in Moscow", Russia, Fall 2004
• German Language Summer School, Hochschule Bremen, Germany, July 2004
• Encontro Nacional de Novos Talentos em Matemática, Luso, Portugal, Sep 2003
• X EFYSO International Youth Conference, Wroclaw, Poland, July 2003
• NATO Summer School in "Optics in Astrophysics", Cargese, France, Sep 2002
• IX EFYSO International Youth Conference, Varallo Sesia, Italy, July 2002
• XVI Iberian-American Mathematical Olympiad, Minas, Uruguay, Sep 2001
• Encontro Nacional de Novos Talentos em Matemática, Luso, Portugal, Sep 2001
• 42nd International Mathematical Olympiad, Washington D.C., July 2001
• "Physics on Stage", CERN, Switzerland, Nov 2000
• VI Iberian-American Chemistry Olympiad, Caracas, Venezuela, Oct 2000
• "Na Rota de Pedro Álvares Cabral", Brazil/Portugal, July 2000
  

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