Bianca Viray

Brown University    bviray@math.fillintherest
Mathematics Department http://math.brown.edu/~bviray
310 Kassar-Gould House Citizenship: USA
Providence, RI 02912 Last Updated: November 10, 2012

Employment


Spring 2012 Postdoctoral Fellow, Complex and Arithmetic Dynamics program
Institute for Computational and Experimental Research Mathematics (ICERM)
2010 — Tamarkin Assistant Professor/NSF Postdoctoral Fellow,
Brown University. (sponsor: Joseph Silverman)
Summer 2009 Intern, Microsoft Research, Cryptography group,
(mentor: Kristin Lauter).
Summer 2008 Center for Communications Research, La Jolla, CA

Education


2010 Ph.D., University of California, Berkeley
(advisor: Bjorn Poonen)
2005 B.S., University of Maryland, College Park, cum laude
Spring 2004 Budapest Semesters in Mathematics

Preprints

  1. Comparing arithmetic intersection theory formulas for denominators of Igusa class polynomials.
         (with Jacqueline Anderson, Jennifer S. Balakrishnan, Kristin Lauter, and Jennifer Park.)
         submitted. arXiv:1211.0788
  2. An arithmetic intersection theory formula for denominators of Igusa class polynomials.
        (with Kristin Lauter.)
        submitted. arXiv:1210.7841
  3. Vertical Brauer groups and del Pezzo surfaces of degree 4. (with Anthony Várilly-Alvarado.)
        submitted. arXiv:1210.0920
  4. On singular moduli for arbitrary discriminants. (with Kristin Lauter.)
        submitted. arXiv:1206.6942
  5. Transcendental Brauer elements via descent on elliptic surfaces.
        submitted. arXiv:1202.5348
  6. Computing conjugating sets and automorphism groups of rational functions.
         (with Xander Faber and Michelle Manes.)
        submitted. arXiv:1202.5557
  7. On a uniform bound for the number of exceptional linear subvarieties in the dynamical Mordell-Lang
         conjecture.     (with Joseph H. Silverman.)
         To appear in Mathematical Research Letters. arXiv:1109.0207

Publications

  1. Failure of the Hasse principle for Châtelet surfaces in characteristic 2.
         Journal de Théorie des Nombres de Bordeaux. 24 (2012), no. 1., 231—236.
  2. Higher-dimensional analogues of Châtelet surfaces. (with Anthony Várilly-Alvarado.)
         Bulletin of the London Mathematical Society 44 (2012), no. 1, 125—135.
  3. Failure of the Hasse principle for Enriques surfaces. (with Anthony Várilly-Alvarado.)
         Advances in Mathematics 226 (2011), no. 6, 4884—4901.
  4. Igusa class polynomials, embeddings of quartic CM fields, and arithmetic intersection theory.
         (with Helen Grundman, Jennifer Johnson-Leung, Kristin Lauter, Adriana Salerno, & Erika Wittenborn.)
         WIN—Women in Numbers, Fields Institute Communications, vol. 60, Amer. Math. Soc., Providence, RI,
         2011, pp. 35—60.
  5. A family of varieties with exactly one pointless rational fiber.
         Journal de Théorie des Nombres de Bordeaux. 22 (2010), no. 3., 741—745.
  6. Hilbert schemes of 8 points. (with Dustin A. Cartwright, Daniel Erman, and Mauricio Velasco.)
         Algebra and Number Theory 3 (2009) 763—795.

Academic Honors


2010 — NSF Postdoctoral Fellowship
2009 — 2010 Ford Foundation Dissertation Fellowship
2007 — 2008 Mentored Research Award, Univ. of California, Berkeley
2007 Honorable Mention, NSF Graduate Research Fellowship
2005 Honorable Mention, NSF Graduate Research Fellowship

Invited Conference Talks


2012 Sept. Cohomological Methods in Arithmetic Geometry, Universität Zürich
Mar. University of Massachusetts, Amherst, Algebraic Geometry Northeastern Series (AGNES)
Mar. Institute for Computational and Experimental Mathematics, Global Arithmetic Dynamics
Jan. Joint Mathematical Meetings, Boston MA, "Arithmetic Geometry"
Jan. Joint Mathematical Meetings, Boston MA,
"Dynamical Systems in Algebraic and Arithmetic Geometry"
2011 Nov. Banff International Research Station, Women in Numbers 2
Oct. University of Maine, Maine-Québec Number Theory Conference
Sept. Brown University, 40 Years and Counting: AWM's Celebration of Women in Mathematics
Jun. Oberwolfach, Algebraische Zahlentheorie
May Emory University, Ramification in Algebra and Geometry
Apr. AMS Special Sessions, College of the Holy Cross,
"Modular Forms, Elliptic Curves, L-functions, and Number Theory"
Mar. Centre International de Rencontres Mathématiques,
Arithmetic, Geometry, Cryptography, and Coding Theory
2010 Oct. Lorentz Center, Arithmetic of Surfaces
Oct. Microsoft Research, Workshop on Elliptic Curve Cryptography
Jul. Schloss Thurnau, Rational Points 3
Apr. Centre de Recherches Mathématiques, Workshop on Computer Security & Cryptography
2009 Nov. AMS Special Sessions, Florida Atlantic University, "Arithmetic Geometry"
Oct. AMS Special Sessions, Penn State, "Function Fields and their Applications"
Mar. Cornell University, Macaulay 2 Conference

Seminar Talks


2012 Nov. Centre Interfacultaire Bernoulli, Rational Points and Algebraic Cycles Seminar
Oct. Oxford University, Number Theory Seminar
Oct. University of Bristol, Linfoot Seminar
Oct. University of Warwick, Number Theory Seminar
May Center for Communications Research, Princeton, Colloquium
Apr. Harvard University, Number Theory Seminar
Mar. California Institute of Technology, Algebraic Geometry Seminar
2011 Nov. Boston College, Number Theory Seminar
Apr. Brown University, Algebraic Geometry Seminar
Apr. University of Wisconsin, Madison, Number Theory Seminar
Apr. Amherst College, Five College Number Theory Seminar
Mar. École normale supérieure / Université Paris-Sud, Variétés rationnelles
2010 Nov. Boston University, Algebra Seminar
Nov. University of Connecticut, Algebra Seminar
Mar. Rice University, Algebraic Geometry Seminar
Nov. Stanford University, Number Theory Seminar
2009 Dec. University of Michigan, Algebraic Geometry Seminar
Nov. New York University, Number Theory Seminar
Nov. Brown University, Algebra Seminar
Nov. Harvard University, Number Theory Seminar
Nov. Massachusetts Inst. of Technology, Number Theory Seminar
Oct. University of California, Berkeley, Graduate Student Colloquium
Aug. Microsoft Research, End-of-internship talk
Feb. University of California, Berkeley, Number Theory Seminar
2008 June University of Warwick, Algebraic Geometry Seminar
Apr. University of Maryland College Park, Algebra and Number Theory Seminar
2007 Oct. Harvard/MIT, Baby Algebraic Geometry Seminar

Teaching


2011Fall Primary Instructor, Brown University, Linear Algebra
2011Fall Primary Instructor, Brown University, Abstract Algebra I (undergraduate)
2008Fall Graduate Student Instructor, UC Berkeley, Analytical Geometry and Calculus II
2007Spr. Graduate Student Instructor, UC Berkeley, Advanced Linear Algebra
2006Fall Graduate Student Instructor, UC Berkeley, Multivariable Calculus
2006Spr. Graduate Student Instructor, UC Berkeley, Linear Algebra and Differential Equations
2005Fall Graduate Student Instructor, UC Berkeley, Calculus II
2005Spr. Strauss Teaching Assistant, UMD, College Park, Calculus II
2004Fall Strauss Teaching Assistant, UMD, College Park, Calculus I

Conferences and workshops: co-organizer or committee member


2013 Feb. Co-organizer for AIM workshop:
"Brauer groups and obstruction problems: moduli spaces and arithmetic"
Jan. Co-organizer of the AWM special session at the Joint Mathematical Meetings
2012 Jul. Program Committee, Tenth Algorithmic Number Theory Symposium
Jan. Co-organizer of a special session on "Rational Points on Varieties" at the
Joint Mathematics Meetings

Service


2012 — Member of Girls' Angle board of directors (Girls' Angle is a math club for girls)
2011 Project leader at Women in Numbers 2
2011 — Active member in the Rose Whelan society, a student organization for women
mathematicians, Brown University
2011 — Member of Girls' Angle Advisory Board
2011 — Member of graduate admissions committee, Brown University
2010 — Mentor at Girls' Angle
2009 — 2010 Organizer of Graduate Student Colloquium, a venue for graduate students nearing
completion to give colloquium-style talks connected to their theses
2009 — 2010 Graduate student mentor.
2008 — 2010 Active member and co-founder of Unbounded Representation, a student organization
focused on issues of diversity in mathematics, UC Berkeley.
2006 — 2010 Active member in the Noetherian Ring, a student organization for
women mathematicians, UC Berkeley
2006 — 2008 Officer of Mathematics Graduate Student Association, UC Berkeley.
2005 — 2006 Co-organizer of Mentor Lecture Series.