I am a Statistics Instructor and an NSF Postdoctoral Fellow in MIT's Mathematics Department. My research interests are primarily in algebraic statistics, machine learning, and optimization.
This year I am organizing the seminar on applied algebra and geometry.
Duality of Graphical Models and Tensor Networks with Anna Seigal
Geometry of Log-Concave Density Estimation with Bernd Sturmfels and Caroline Uhler
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
The Degree of SO(n) with Madeline Brandt, DJ Bruce, Taylor Brysiewicz, and Robert Krone, to appear in the book Combinatorial Algebraic Geometry
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
Singular Vectors of Orthogonally Decomposable tensors with Anna Seigal, Linear and Multilinear Algebra, (2017/1/12) pp.1-25
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, to appear in Isreal Journal of Mathematics
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
Here is a link to my CV.
Spring 2017: Graphical models: A Geometric, Algebraic, and Combinatorial Perspective
IDS.S21/6.248 (New course!); Course Instructor
Fall 2016: Differential Equations 18.03; TA
Spring 2016: Methods of Mathematics: Calculus, Statistics and Combinatorics Math 10A; TA
Spring 2015: Methods of Mathematics: Calculus, Statistics and Combinatorics Math 10A; TA
I love math competitions and would be happy to take part in organizing and grading them. I have given several lectures at the Berkeley Math Circle and would be interested in getting involved with more such activities.