Publications

  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. Positive semidefinite rank and nested spectrahedra. With Elina Robeva, Richard Z. Robinson. Linear and Multilinear Algebra, 2017. [arXiv:1512.08766] [http://dx.doi.org/10.1080/03081087.2017.1381664]
  3. Matrix completion for the independence model. With Zvi Rosen. Journal of Algebraic Statistics, 8(1):1-21, 2017. [arXiv:1407.3254] [http://dx.doi.org/10.18409/jas.v8i1.50]
  4. 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] [http://dx.doi.org/10.1137/16M1074102]
  5. 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] [http://dx.doi.org/10.1016/j.laa.2016.06.036]
  6. 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]
  7. 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]
  8. 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]
  9. 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]
  10. Hilbert polynomial of the Kimura 3-parameter model. Journal of Algebraic Statistics, 3(1):64-69, 2012. [arXiv:1007.3164] [Plain text icon Code] [http://dx.doi.org/10.18409/jas.v3i1.16]

Preprints

  1. Maximum likelihood estimation of the latent class model through model boundary decomposition. With Elizabeth Allman, Hector Banos Cervantes, Robin Evans, Serkan Hosten, Daniel Lemke, John Rhodes, Piotr Zwiernik. Submitted. [arXiv:1710.01696]
  2. Geometry of symmetric group-based models. With Dimitra Kosta. Submitted. [arXiv:1705.09228]
  3. 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]

Theses

  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]