Tristram Bogart
Tristram Bogart
Associate Professor of Mathematics, Universidad de los Andes
Verified email at - Homepage
Cited by
Cited by
Computing tropical varieties
T Bogart, AN Jensen, D Speyer, B Sturmfels, RR Thomas
Journal of Symbolic Computation 42 (1-2), 54-73, 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
Enumeration of Golomb rulers and acyclic orientations of mixed graphs
M Beck, T Bogart, T Pham
arXiv preprint arXiv:1110.6154, 2011
The circuit ideal of a vector configuration
T Bogart, AN Jensen, RR Thomas
Journal of Algebra 309 (2), 518-542, 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
Parametric Presburger arithmetic: logic, combinatorics, and quasi-polynomial behavior
T Bogart, J Goodrick, K Woods
arXiv preprint arXiv:1608.08520, 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
T Bogart, M Contois, J Gubeladze
Mathematische Zeitschrift 273 (3), 1267-1296, 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
Universal Gröbner bases of colored partition identities
T Bogart, R Hemmecke, S Petrović
Experimental Mathematics 21 (4), 395-401, 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
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
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
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
A tropical approach to rational curves in general hypersurfaces
T Bogart, E Brugallé, E Cotterill
preparation, 0
Riffs on the infinite ping-pong ball conundrum
A Mamolo, T Bogart
International Journal of Mathematical Education in Science and Technology 42 …, 2011
Small Chvátal Rank
T Bogart, A Raymond, R Thomas
Mathematical programming 124, 45-68, 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
A Plethora of Polynomials: A Toolbox for Counting Problems
T Bogart, K Woods
The American Mathematical Monthly 129 (3), 203-222, 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
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