Computing tropical varieties T Bogart, AN Jensen, D Speyer, B Sturmfels, RR Thomas Journal of Symbolic Computation 42 (1-2), 54-73, 2007 | 220 | 2007 |
Obstructions to lifting tropical curves in surfaces in 3-space T Bogart, E Katz SIAM Journal on Discrete Mathematics 26 (3), 1050-1067, 2012 | 23 | 2012 |
Enumeration of Golomb rulers and acyclic orientations of mixed graphs M Beck, T Bogart, T Pham arXiv preprint arXiv:1110.6154, 2011 | 20 | 2011 |
The circuit ideal of a vector configuration T Bogart, AN Jensen, RR Thomas Journal of Algebra 309 (2), 518-542, 2007 | 19 | 2007 |
A lower bound for the determinantal complexity of a hypersurface J Alper, T Bogart, M Velasco Foundations of Computational Mathematics 17, 829-836, 2017 | 16 | 2017 |
Parametric Presburger arithmetic: logic, combinatorics, and quasi-polynomial behavior T Bogart, J Goodrick, K Woods arXiv preprint arXiv:1608.08520, 2016 | 16 | 2016 |
Finitely many smooth d-polytopes with n lattice points T Bogart, C Haase, M Hering, B Lorenz, B Nill, A Paffenholz, G Rote, ... Israel journal of mathematics 207, 301-329, 2015 | 12 | 2015 |
Hom-polytopes T Bogart, M Contois, J Gubeladze Mathematische Zeitschrift 273 (3), 1267-1296, 2013 | 12 | 2013 |
Constructing partial MDS codes from reducible algebraic curves T Bogart, AL Horlemann-Trautmann, D Karpuk, A Neri, M Velasco SIAM Journal on Discrete Mathematics 35 (4), 2946-2970, 2021 | 7* | 2021 |
Universal Gröbner bases of colored partition identities T Bogart, R Hemmecke, S Petrović Experimental Mathematics 21 (4), 395-401, 2012 | 7* | 2012 |
Periodic behavior in families of numerical and affine semigroups via parametric Presburger arithmetic T Bogart, J Goodrick, K Woods Semigroup Forum 102, 340-356, 2021 | 6 | 2021 |
A parametric version of LLL and some consequences: parametric shortest and closest vector problems T Bogart, J Goodrick, K Woods SIAM Journal on Discrete Mathematics 34 (4), 2363-2387, 2020 | 6 | 2020 |
When is a numerical semigroup a quotient? T Bogart, C O’NEILL, K Woods Bulletin of the Australian Mathematical Society 109 (1), 67-76, 2024 | 5 | 2024 |
Parametric Presburger arithmetic: complexity of counting and quantifier elimination T Bogart, J Goodrick, D Nguyen, K Woods Mathematical Logic Quarterly 65 (2), 237-250, 2019 | 5 | 2019 |
A tropical approach to rational curves in general hypersurfaces T Bogart, E Brugallé, E Cotterill preparation, 0 | 5 | |
Riffs on the infinite ping-pong ball conundrum A Mamolo, T Bogart International Journal of Mathematical Education in Science and Technology 42 …, 2011 | 4 | 2011 |
Small Chvátal Rank T Bogart, A Raymond, R Thomas Mathematical programming 124, 45-68, 2010 | 3 | 2010 |
An ℓ− p switch trick to obtain a new proof of a criterion for arithmetic equivalence G Mantilla-Soler, T Bogart Research in number theory 5, 1-5, 2019 | 2 | 2019 |
A Plethora of Polynomials: A Toolbox for Counting Problems T Bogart, K Woods The American Mathematical Monthly 129 (3), 203-222, 2022 | 1 | 2022 |
An algebraic approach to projective uniqueness with an application to order polytopes T Bogart, J Gouveia, JC Torres Discrete & Computational Geometry 67 (2), 462-491, 2022 | 1 | 2022 |