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Farbod Shokrieh

Visiting Assistant Professor

Educational Background

Ph.D. (2013) Georgia Institute of Technology

Website(s)

Departments/Programs

  • Mathematics

Research

I am interested in non-Archimedean analytic and tropical geometry, combinatorics, algebraic and arithmetic geometry,

Publications

  • The monodromy pairing and discrete logarithm on the Jacobian of finite graphs. Journal of Mathematical Cryptology, Volume 4, Issue 1, Pages 43-56, 2010.
  • Chip-firing games, potential theory on graphs, and spanning trees. Journal of Combinatorial Theory, Series A, Volume 120, Issue 1, Pages 164-182, 2013. (with Matthew Baker)
  • Divisors on graphs, connected flags, and syzygies. International Mathematics Research Notices (IMRN), no. 24, Pages 6839-6905, 2014. (with Fatemeh Mohammadi)
  • Canonical representatives for divisor classes on tropical curves and the Matrix-Tree Theorem. Forum of Mathematics, Sigma, Volume 2, 25 pages, 2014. (with Yang An, Matthew Baker, and Greg Kuperberg)
  • Divisors on graphs, binomial and monomial ideals, and cellular resolutions. Mathematische Zeitschrift, Volume 283, Issue 1, Pages 59-102, 2016. (with Fatemeh Mohammadi)
  • Non-Archimedean and tropical theta functions. Mathematische Annalen, 2018. (with Tyler Foster, Joseph Rabinoff, and Alejandro Soto)
  • Canonical measures on metric graphs and a Kazhdan's theorem. 36 pages, 2017. (with Chenxi Wu)
  • Effective divisor classes on metric graphs. 29 pages, 2018. (with Andreas Gross and Lilla Tóthmérész)
  • Limits of canonical forms on towers of Riemann surfaces. 19 pages, 2018. (with Hyungryul Baik and Chenxi Wu)
  • Metric graphs, cross ratios, and Rayleigh's laws. 24 pages, 2018. (with Robin de Jong)
  • Tropical moments of tropical Jacobians. 34 pages, 2018. (with Robin de Jong)
  • Faltings height and Néron-Tate height of a theta divisor. 31 pages, 2018. (with Robin de Jong)