I am a graduate student in mathematics at UC Berkeley. My advisor is Bernd Sturmfels. I am interested in combinatorics and geometry, particularly tropical geometry, and connections with moduli spaces, geometric group theory, cluster algebras, and matroids.

Application materials

• Research statement

• Teaching statement

• Curriculum vitae

• Publication list with abstracts

Papers

• Tropical hyperelliptic curves
  Preprint.
  Slides
  

• Combinatorics of the tropical Torelli map
  To appear in Algebra and Number Theory.
  Slides     Pictures of tropical M_g

• Three notions of tropical rank for symmetric matrices
  with D. Cartwright.
  To appear in Combinatorica.
  Slides     Extended abstract

• The 4x4 minors of a 5xn matrix are a tropical basis
  with A. N. Jensen and E. Rubei.
  Linear Algebra and its Applications 435 (2011) 1598-1611.
  Slides

• The distinguishing number of the augmented cube and hypercube powers
  Discrete Mathematics, Volume 308, Issue 11 (2008), 2330-2336.

• Improved pebbling bounds
  with A. Godbole.
  Discrete Mathematics, Volume 308, Issue 11 (2008), 2301-2306.

• The distinguishing number of the direct product and wreath product action
  Journal of Algebraic Combinatorics 24 (3) (2006) 331-345.

• The maximum distinguishing number of a group
  Electronic Journal of Combinatorics 13 (1) (2006) R70.

• Stably computable properties of network graphs
  with D. Angluin, J. Aspnes, M. J. Fischer, H. Jiang, R. Peralta
  Proceedings of the International Conference on Distributed Computing in Sensor Systems, Lecture Notes in Computer Science, volume 3560 (2005) 63-74.

Expository and other writings

• A survey of cluster algebras
  11 pages, 2010

• Tropical decomposition of symmetric tensors
  17 pages, 2008

• A survey of the cycle double cover conjecture
  10 pages, 2007

Miscellaneous

• I organized the student seminar in discrete mathematics with Felipe Rincón in 2010-2011.

• Here is my author listing on MathSciNet.

Email address