Papers -- Daniel Irving Bernstein

** Submitted Papers and Preprints**

- The tropical Cayley-Menger variety (with Robert Krone). 1812.09370
- The algebraic matroid of the funtf variety (with Cameron Farnsworth and Jose Israel Rodriguez). 1812.10353 Supplementary Materials
- Typical and generic ranks in matrix completion (with Greg Blekherman and Rainer Sinn). 1802.09513
- L-Infinity optimization to Bergman fans of matroids with an application to phylogenetics. 1702.05141

**Papers in Press and Print**

- Unimodular hierarchical models and their Graver bases (with Christopher O'Neill).
*Journal of Algebraic Statistics*.**8**(2017) no.2. 1704.09018 Supplementary Materials - Completion of tree metrics and rank 2 matrices.
*Linear Algebra and its Applications.*1612.06797**533**(2017), pp. 1-13. - L-infinity optimization to linear spaces and phylogenetic trees (with Colby Long).
*SIAM Journal on Discrete Mathematics.***31**(2017) no.2 pp. 875-889. 1702.05127 Supplementary Materials - Unimodular binary hierarchical models (with Seth Sullivant).
*Journal of Combinatorial Theory, Series B.***123**(2017) pp. 97–125. 1502.06131 Supplementary Materials - Normal binary hierarchical models (with Seth Sullivant).
*Experimental Mathematics.***26**(2017), no. 2, pp. 153-164. 1508.05461 - Bounds on the expected size of the maximum agreement subtree (with Lam Ho, Colby Long, Mike Steel, Katherine St. John, and Seth Sullivant)
*SIAM Journal on Discrete Mathematics.***29**(2015) no. 4 pp. 2065–2074. 1411.7338 - On Three Sets with Nondecreasing Diameter (with Carl Yerger and David J. Grynkiewicz)
*Discrete Mathematics.***338**(2015) no.8 pp. 1328-1344. 1407.5122

**Theses:**