Anthony Várilly-Alvarado

(Photo by David Brown - 02/11, taken after a talk about this paper.)

Department of Mathematics   Rice University MS 136   6100 S. Main St.   Houston, TX 77005, USA

Office: Herman Brown Hall, Room 412 Fax: (713)-348-2851  email: av15 **at** rice.edu

Curriculum Vitae

Courses and seminars

• Math 464/564: Algebra III. (Spring 2013) Syllabus.
• Algebraic Geometry Seminar (organized by Brian Lehmann).

Research Papers

Partially supported by National Science Foundation Grant DMS-1103659. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author, and do not necessarily reflect the views of the National Science Foundation.

• On the Unirationality of del Pezzo surfaces of degree two (with C. Salgado and D. Testa)
  Preprint.
• Vertical Brauer groups and del Pezzo surfaces of degree 4 (with B. Viray)
  Submitted.
• Cubic fourfolds containing a plane and a quintic del Pezzo surface (with A. Auel, M. Bernardara and M. Bolognesi)
  Submitted.
• Failure of the Hasse principle on general K3 surfaces (with B. Hassett)
  Journal de l'Institut de Mathématiques de Jussieu, to appear.
• Higher dimensional analogues of Châtelet surfaces (with B. Viray)
  Bulletin of the London Mathematical Society, 44 (2012) 125-135.
• Transcendental obstructions to weak approximation on general K3 surfaces (with B. Hassett and P. Varilly)
  Advances in Mathematics, 228 (2011), 1377-1404.
• Density of rational points on isotrivial rational elliptic surfaces
  Algebra and Number Theory, 5 (2011) 659-690.
• Failure of the Hasse principle for Enriques surfaces (with B. Viray)
  Advances in Mathematics, 226 (2011), 4884-4901.
• Laurent polynomials and Eulerian numbers (with D. Erman and G. Smith)
  Journal of Combinatorial Theory Series A, 118 (2011) 396-402.
• Big rational surfaces (with D. Testa and M. Velasco)
  Mathematische Annalen, 351 (2011) 95-107.
• Cox rings of degree one del Pezzo surfaces (with D. Testa and M. Velasco)
  Algebra and Number Theory 3 (2009) 729-761.
• Arithmetic E_8 lattices with maximal Galois action   (with D. Zywina)
  LMS Journal of Computation and Mathematics 12 (2009) 144-165.
• Arithmetic of del Pezzo surfaces of degree 1 Erratum
  Ph. D. Thesis, UC Berkeley (2009), 84 pages.
• Weak Approximation on del Pezzo surfaces of degree 1
  Advances in Mathematics 219 (2008), 2123-2145.   Magma scripts
• Location of Incenters and Fermat Points in Variable Triangles  
  Mathematics Magazine 74 (2001) 123-129.

Minicourse on the Arithmetic of del Pezzo and K3 surfaces at EPFL/CIB (Summer 2012).

Lectures on the Arithmetic of del Pezzo surfaces

I gave a mini-course on the arithmetic of del Pezzo surfaces at the conference Arithmetic of Surfaces in October 2010. I prepared some lecture notes to accompany the mini-course. The first two lectures were ''chalkboard talks''. For the last lecture I used slides for reasons that will be apparent if you look at the last few slides.  

Conferences Organized

• AIM Workshop: "Brauer groups and obstruction problems: moduli spaces and arithmetic" (Co-organized with Asher Auel, Brendan Hassett, and Bianca Viray). The workshop will be held on February 25 - March 1 2013, and will bring together researchers in derived categories and researchers who study obstructions to rational points.
• TAGS 2011 (Co-organized with Evan Bullock and Brendan Hassett).