1. How to flatten a soccer ball. With Pablo A. Parrilo, Bernd Sturmfels. Accepted at Homological and Computational Methods in Commutative Algebra, (eds. A. Conca, J. Gubeladze and T. Römer), Springer INdAM series. [arXiv:1606.02253]
  2. Matrix completion for the independence model. With Zvi Rosen. Journal of Algebraic Statistics, 8(1):1-21, 2017. [arXiv:1407.3254] []
  3. The geometry of rank-one tensor completion. With Thomas Kahle, Mario Kummer, Zvi Rosen. SIAM Journal on Applied Algebra and Geometry, 1(1):200-221, 2017. [arXiv:1605.01678] []
  4. Algebraic boundary of matrices of nonnegative rank at most three. With Rob H. Eggermont, Emil Horobet. Linear Algebra and its Applications, 508:62-80, 2016. [arXiv:1412.1654] []
  5. Fixed points of the EM algorithm and nonnegative rank boundaries. With Elina Robeva, Bernd Sturmfels. Annals of Statistics, 43(1):422-461, 2015. [arXiv:1312.5634] [10.1214/14-AOS1282]
  6. Low degree minimal generators of phylogenetic semigroups. European Journal of Mathematics, 1(1):2-24, 2015. [arXiv:1304.0744] [10.1007/s40879-014-0011-7]
  7. Conformal blocks, Berenstein-Zelevinsky triangles and group-based models. With Christopher Manon. Journal of Algebraic Combinatorics, 40(3):861-886, 2014. [arXiv:1308.4888] [10.1007/s10801-014-0511-z]
  8. On the graph labellings arising from phylogenetics. With Weronika Buczyńska, Jarosław Buczyński, Mateusz Michalek. Central European Journal of Mathematics, 11(9):1577-1592, 2013. [arXiv:1105.5382] [10.2478/s11533-013-0263-3]
  9. Hilbert polynomial of the Kimura 3-parameter model. Journal of Algebraic Statistics, 3(1):64-69, 2012. [arXiv:1007.3164] [Plain text icon Code] []


  1. Geometry of symmetric group-based models. With Dimitra Kosta. Submitted to the Bulletin of Mathematical Biology. [arXiv:1705.09228]
  2. Determinantal Generalizations of Instrumental Variables. With Luca Weihs, Bill Robinson, Emilie Dufresne, Jennifer Kenkel, Kaie Kubjas, Reginald L. McGee II, Nhan Nguyen, Elina Robeva, Mathias Drton. Submitted. [arXiv:1702.03884]
  3. Positive semidefinite rank and nested spectrahedra. With Elina Robeva, Richard Z. Robinson. Submitted to Linear and Multilinear Algebra. [arXiv:1512.08766]


  1. Algebraic and combinatorial aspects of group-based models. PhD thesis, Free University of Berlin, 2013. [Link] [PDF icon PhD thesis]
  2. Abstraktsed kloonid ja operaadid. Bachelor thesis, University of Tartu, 2007. [PDF icon Bachelor thesis]