Computing tropical varieties. - Tristram Bogart; Anders Nedergaard Jensen; David E Speyer; Bernd Sturmfels; Rekha R. Thomas (J. Symb. Comput., 2007)

Small Chvátal Rank. - Tristram Bogart; Annie Raymond; Rekha R. Thomas (Math. Program., 2010)

Enumeration of Golomb Rulers and Acyclic Orientations of Mixed Graphs. - Matthias Beck; Tristram Bogart; Tu Pham (Electron. J. Comb., 2012)

Universal Gröbner Bases of Colored Partition Identities. - Tristram Bogart; Ray Hemmecke; Sonja Petrovic (Exp. Math., 2012)

Obstructions to Lifting Tropical Curves in Surfaces in 3-Space. - Tristram Bogart; Eric Katz (SIAM J. Discret. Math., 2012)

A Lower Bound for the Determinantal Complexity of a Hypersurface. - Jarod Alper; Tristram Bogart; Mauricio Velasco (Found. Comput. Math., 2017)

Superlinear Subset Partition Graphs With Dimension Reduction, Strong Adjacency, and Endpoint Count. - Tristram C. Bogart; Edward D. Kim (Comb., 2018)

Parametric Presburger arithmetic: complexity of counting and quantifier elimination. - Tristram Bogart; John Goodrick; Danny Nguyen; Kevin Woods (Math. Log. Q., 2019)

Constructing Partial MDS Codes from Reducible Curves. - Tristram Bogart; Anna-Lena Horlemann-Trautmann; David A. Karpuk; Alessandro Neri 002; Mauricio Velasco (CoRR, 2020)

A Parametric Version of LLL and Some Consequences: Parametric Shortest and Closest Vector Problems. - Tristram Bogart; John Goodrick; Kevin Woods (SIAM J. Discret. Math., 2020)

Constructing Partial MDS Codes from Reducible Algebraic Curves. - Tristram Bogart; Anna-Lena Horlemann-Trautmann; David A. Karpuk; Alessandro Neri 002; Mauricio Velasco (SIAM J. Discret. Math., 2021)

Bounds on Determinantal Complexity of Two Types of Generalized Permanents. - Tristram Bogart; Juan Andrés Valero (CoRR, 2022)

An Algebraic Approach to Projective Uniqueness with an Application to Order Polytopes. - Tristram Bogart; João Gouveia; Juan Camilo Torres (Discret. Comput. Geom., 2022)

A Plethora of Polynomials: A Toolbox for Counting Problems. - Tristram Bogart; Kevin Woods (Am. Math. Mon., 2022)

Numerical Semigroups via Projections and via Quotients. - Tristram Bogart; Christopher O'Neill; Kevin Woods (Discret. Comput. Geom., 2025)