Research Interest: Algebraic Geometry, Mirror Symmetry, Cluster Algebra, Representation Theory
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  • Theta functions and quiver Grassmannians
  • Donaldson-Thomas invariants from tropical disks (joint with Travis Mandel)
  • Tropical techniques in cluster theory and enumerative geometry, PhD thesis
  • The greedy basis equals the theta basis (joint with Mark Gross, Greg Muller, Gregg Musiker, Dylan Rupel, Salvature Stella, Harold Williams), Journal of Combinatorial Theory, Series A, 145, 150-171
  • Faithful Realizability of Tropical Curves (joint with Lorenzo Fantini, Jennifer Park, Martin Ulirsch), International Mathematics Research Notices , 2016(15), 4706-4727
  • Symmetrizing Tableaux and the 5th case of the Foulkes Conjecture (joint with Christian Ikenmeyer, Sevak Mrchtkyan) Journal of Symbolic Computation , 80, 833-843
  • Ricci flow and curvature on the variety of flags on the two dimensional projective space over the complexes, quaternions and the octonions, (joint with Nolan Wallach) Proc. Amer. Math. Soc. 143 (2015), 369-378
  • The model orbit in G_2, Master thesis (under supervision of Jing-Song Huang)