Optimal Rates for Supermodular Matrix Estimation with Jan-Christian Huetter, Cheng Mao, and Philippe Rigollet

Decomposing Tensors into Equiangular Tight Frames with Kevin Shen and Jeffrey Zhang

Nested Covariance Determinants and Restricted Trek Separation in Gaussian Graphical Models with Mathias Drton and Luca Weihs

Maximum Likelihood Estimation for Totally Positive Log-Concave Densities with Bernd Sturmfels, Ngoc Tran, and Caroline Uhler

Geometry of Log-Concave Density Estimation with Bernd Sturmfels and Caroline Uhler, *to appear in Discrete and Computational Geometry*

Duality of Graphical Models and Tensor Networks with Anna Seigal, * Information and Inference: A Journal of the IMA*, iay009, https://doi.org/10.1093/imaiai/iay009

Determinantal Generalizations of Instrumental Variables with Luca Weihs, Bill Robinson, Emilie Dufresne, Jennifer Kenkel, Kaie Kubjas, Reginald L. McGee II, Nhan Nguyen, and Mathias Drton, * Journal of Causal Inference*, **6:1** (2017) ISSN (Online) 2193-3685, https://doi.org/10.1515/jci-2017-0009

The Degree of SO(n) with Madeline Brandt, DJ Bruce, Taylor Brysiewicz, and Robert Krone, *to appear in the book Combinatorial Algebraic Geometry*

Singular Vectors of Orthogonally Decomposable tensors with Anna Seigal, *Linear and Multilinear Algebra*, (2017/1/12), pp.1-25

Superresolution without Separation with Geoffrey Schiebinger and Benjamin Recht, *Information and Inference: A Journal of the IMA*, iax006, https://doi.org/10.1093/imaiai/iax006

The Geometry of Positive Semidefinite Rank with Kaie Kubjas and Richard Robinson, *Linear and Multilinear Algebra*, (2017/10/4), pp.1-23

Orthogonal and Unitary Tensor Decomposition from an Algebraic Perspective with Ada Boralevi, Jan Draisma and Emil Horobet, *Isreal Journal of Mathematics,* **222:1** (2017), pp 223–260

Decomposing Tensors into Frames with Luke Oeding and Bernd Sturmfels, *Advances in Applied Mathematics*, **76** (2016), pp. 125-153

Orthogonal Decomposition of Symmetric Tensors, *SIAM Journal on Matrix Analysis and Applications*, **37** (2016), pp. 86-102

Fixed Points of the EM Algorithm and Nonnegative Rank Boundaries with Kaie Kubjas and Bernd Sturmfels, *Annals of Statistics*, **43:1** (2015), pp. 422-461.

Robust Toric Ideals with Adam Boocher, *Journal of Symbolic Computation*, **68** (2015), pp. 254-264

A Tropical Proof of the Brill-Noether Theorem
with Philip Cools, Jan Darisma and Sam Payne, *Advances in Mathematics*, **230**
(2012), pp. 759-776

Artificial Intelligence for Bidding Hex
with Sam Payne, *Games of No Chance*, Edited by Richard J. Nowakowski.
Mathematical Sciences Research Institute Publications, **63**,
Cambridge University Press, Cambridge (2015), pp. 207-214.

An Extensive Survey of Graceful Trees, Undergraduate Honors Thesis, Stanford University 2011