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 H. Silverman.

C.V. (pdf)
arXiv listing



Fall 2013 Teaching:
Math 1580: Cryptography, D hour (MWF 11am)
Math 0190: Advanced Placement Calculus (Physics/Engineering), F hour (MWF 1pm)



Brown Algebra and Algebraic Geometry seminars

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

Publications and preprints


  1. On Brauer groups of double covers of ruled surfaces. (with Brendan Creutz.)
  2. Evidence for the dynamical Brauer-Manin criterion. (with Ekaterina Amerik, Pär Kurlberg, Khoa Nguyen, Adam Towsley, José Felipe Voloch.)
  3. Comparing arithmetic intersection formulas for denominators of Igusa class polynomials. (with Jacqueline
        Anderson    , Jennifer S. Balakrishnan, Kristin Lauter, and Jennifer Park.)
         to appear in Women in Numbers 2 proceedings.
  4. An arithmetic intersection formula for denominators of Igusa class polynomials. (with Kristin Lauter.)
  5. Vertical Brauer groups and del Pezzo surfaces of degree 4. (with Anthony Várilly-Alvarado.)
         Magma scripts.
  6. On singular moduli for arbitrary discriminants. (with Kristin Lauter)
  7. Transcendental Brauer elements via descent on elliptic surfaces. (subsumed by this paper.)
  8. Computing conjugating sets and automorphism groups of rational functions. (with Xander Faber and Michelle Manes)
         Sage implementation of some of the algorithms.
  9. 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.
  10. Higher dimensional analogues of Châtelet surfaces. (with Anthony Várilly-Alvarado.)
         Bulletin of the London Mathematical Society 44 (2012), no. 1, 125—135.
  11. Failure of the Hasse principle for Châtelet surfaces in characteristic 2.
         Journal de Théorie des Nombres de Bordeaux. 24 (2012), no. 1., 231—236.
  12. Failure of the Hasse principle for Enriques surfaces. (with Anthony Várilly-Alvarado.)
         Advances in Mathematics 226 (2011), no. 6, 4884—4901.
  13. 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.
  14. A family of varieties with exactly one pointless rational fiber.
         Journal de Théorie des Nombres de Bordeaux. 22 (2010), no. 3., 741—745.
  15. Hilbert schemes of 8 points in Ad. (with Dustin A. Cartwright, Daniel Erman, and Mauricio Velasco.)
         Algebra and Number Theory 3 (2009), no. 7, 763--795.








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