Tamarkin Assistant Professor/NSF Postdoctoral Fellow
Mathematics Department, Brown University

I am interested in algebraic number theory and algebraic geometry. I completed my Ph.D. from UC Berkeley in 2010 under the direction of Bjorn Poonen. My NSF sponsor is Joseph Silverman.

C.V. (pdf) (html)
arXiv listing

Spring 2013 Teaching: Math 1560: Number Theory, C hour (MWF 10am)

AWM workshop in number theory:
January 11 - 12, 2012 at the Joint Mathematical Meetings in San Diego,
co-organized with Kristin Lauter.

Brauer groups and obstruction problems: moduli spaces and arithmetic: February 25 - March 1 2013, co-organized with Asher Auel, Brendan Hassett, and Anthony Várilly-Alvarado.

Brown Algebra and Algebraic Geometry seminars

I am on the board of directors of Girls' Angle, a math club for girls.

Office: 310 Kassar-Gould House
Phone: 401.863.7961
Email: first intial + last name
          @math.brown.edu
Mailing Address:
Mathematics Department
Box 1917
Brown University
Providence, RI 02912 USA

Publications and preprints

• Comparing arithmetic intersection formulas for denominators of Igusa class polynomials. (with Jacqueline
      Anderson, Jennifer S. Balakrishnan, Kristin Lauter, and Jennifer Park.)
• An arithmetic intersection formula for denominators of Igusa class polynomials. (with Kristin Lauter.)
• Vertical Brauer groups and del Pezzo surfaces of degree 4. (with Anthony Várilly-Alvarado.)
       Magma scripts.
  
• On singular moduli for arbitrary discriminants. (with Kristin Lauter)
• Transcendental Brauer elements via descent on elliptic surfaces.
• Computing conjugating sets and automorphism groups of rational functions. (with Xander Faber and Michelle Manes)
       Sage implementation of some of the algorithms.
• 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.
• Higher dimensional analogues of Châtelet surfaces. (with Anthony Várilly-Alvarado.)
       Bulletin of the London Mathematical Society 44 (2012), no. 1, 125—135.
• Failure of the Hasse principle for Châtelet surfaces in characteristic 2.
       Journal de Théorie des Nombres de Bordeaux. 24 (2012), no. 1., 231—236.
• Failure of the Hasse principle for Enriques surfaces. (with Anthony Várilly-Alvarado.)
       Advances in Mathematics 226 (2011), no. 6, 4884—4901.
• Igusa class polynomials, embeddings of quartic CM fields, and arithmetic intersection theory. (Magma code)
  (with Helen Grundman, Jennifer Johnson-Leung, Kristin Lauter, Adriana Salerno, and Erika Wittenborn.)
      WIN— Women in Numbers, Fields Inst. Comm., vol. 60, AMS, Providence, RI, 2011, pp. 35—60.
• A family of varieties with exactly one pointless rational fiber.
       Journal de Théorie des Nombres de Bordeaux. 22 (2010), no. 3., 741—745.
• Hilbert schemes of 8 points in A^d. (with Dustin A. Cartwright, Daniel Erman, and Mauricio Velasco.)
       Algebra and Number Theory 3 (2009), no. 7, 763--795.

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