Edit Profile (opens in new tab) Bogart, Tristram Co-Author Distance Author ID: bogart.tristram Published as: Bogart, Tristram; Bogart, Tristram C.; Bogart, T. more...less Homepage: http://wwwprof.uniandes.edu.co/~tc.bogart22/ External Links: MGP · ORCID · Google Scholar · dblp Documents Indexed: 18 Publications since 2007 Co-Authors: 31 Co-Authors with 17 Joint Publications 982 Co-Co-Authors all top 5 Co-Authors 0 single-authored 4 Goodrick, John 3 Thomas, Rekha R. 2 Jensen, Anders Nedergaard 2 Velasco, Mauricio 1 Alper, Jarod 1 Beck, Matthias 1 Contois, Mark 1 Gouveia, Joao 1 Gubeladze, Joseph 1 Haase, Christian Alexander 1 Hemmecke, Raymond 1 Hering, Milena 1 Horlemann-Trautmann, Anna-Lena 1 Karpuk, David A. 1 Katz, Eric 1 Kim, Edward D. 1 Lorenz, Benjamin 1 Mantilla-Soler, Guillermo 1 Neri, Alessandro 1 Nguyen, Danny 1 Nill, Benjamin 1 Paffenholz, Andreas 1 Petrović, Sonja 1 Pham, Tu-San 1 Raymond, Annie 1 Rote, Günter 1 Santos, Francisco 1 Schenck, Hal 1 Speyer, David E. 1 Sturmfels, Bernd 1 Torres, Juan Camilo all top 5 Serials 3 SIAM Journal on Discrete Mathematics 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Journal of Algebra 1 Mathematische Zeitschrift 1 Semigroup Forum 1 Combinatorica 1 Journal of Symbolic Computation 1 Discrete & Computational Geometry 1 Mathematical Programming. Series A. Series B 1 Experimental Mathematics 1 Mathematical Logic Quarterly (MLQ) 1 The Electronic Journal of Combinatorics 1 Foundations of Computational Mathematics 1 Research in Number Theory 1 Discrete Analysis all top 5 Fields 8 Convex and discrete geometry (52-XX) 7 Combinatorics (05-XX) 7 Number theory (11-XX) 6 Algebraic geometry (14-XX) 3 Commutative algebra (13-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 137 times in 132 Documents Cited by ▼ Year ▼ Computing tropical varieties. Zbl 1121.14051Bogart, T.; Jensen, A. N.; Speyer, D.; Sturmfels, B.; Thomas, R. R. 74 2007 Finitely many smooth \(d\)-polytopes with \(n\) lattice points. Zbl 1327.52020Bogart, Tristram; Haase, Christian; Hering, Milena; Lorenz, Benjamin; Nill, Benjamin; Paffenholz, Andreas; Rote, Günter; Santos, Francisco; Schenck, Hal 9 2015 Obstructions to lifting tropical curves in surfaces in 3-space. Zbl 1312.14141Bogart, Tristram; Katz, Eric 8 2012 The circuit ideal of a vector configuration. Zbl 1180.13038Bogart, Tristram; Jensen, Anders N.; Thomas, Rekha R. 7 2007 A lower bound for the determinantal complexity of a hypersurface. Zbl 1375.14201Alper, Jarod; Bogart, Tristram; Velasco, Mauricio 7 2017 Enumeration of Golomb rulers and acyclic orientations of mixed graphs. Zbl 1253.05014Beck, Matthias; Bogart, Tristram; Pham, Tu 6 2012 Parametric Presburger arithmetic: logic, combinatorics, and quasi-polynomial behavior. Zbl 1404.11029Bogart, Tristram; Goodrick, John; Woods, Kevin 6 2017 Universal Gröbner bases of colored partition identities. Zbl 1259.05195Bogart, Tristram; Hemmecke, Ray; Petrović, Sonja 6 2012 Constructing partial MDS codes from reducible algebraic curves. Zbl 07453658Bogart, Tristram; Horlemann-Trautmann, Anna-Lena; Karpuk, David; Neri, Alessandro; Velasco, Mauricio 3 2021 Hom-polytopes. Zbl 1264.52010Bogart, Tristram; Contois, Mark; Gubeladze, Joseph 3 2013 Periodic behavior in families of numerical and affine semigroups via parametric Presburger arithmetic. Zbl 1508.20094Bogart, Tristram; Goodrick, John; Woods, Kevin 2 2021 An \(\ell-p\) switch trick to obtain a new proof of a criterion for arithmetic equivalence. Zbl 1471.11261Bogart, Tristram; Mantilla-Soler, Guillermo 2 2019 Small Chvátal rank. Zbl 1198.90295Bogart, Tristram; Raymond, Annie; Thomas, Rekha 2 2010 A parametric version of LLL and some consequences: parametric shortest and closest vector problems. Zbl 1464.11065Bogart, Tristram; Goodrick, John; Woods, Kevin 1 2020 Parametric Presburger arithmetic: complexity of counting and quantifier elimination. Zbl 07197321Bogart, Tristram; Goodrick, John; Nguyen, Danny; Woods, Kevin 1 2019 Constructing partial MDS codes from reducible algebraic curves. Zbl 07453658Bogart, Tristram; Horlemann-Trautmann, Anna-Lena; Karpuk, David; Neri, Alessandro; Velasco, Mauricio 3 2021 Periodic behavior in families of numerical and affine semigroups via parametric Presburger arithmetic. Zbl 1508.20094Bogart, Tristram; Goodrick, John; Woods, Kevin 2 2021 A parametric version of LLL and some consequences: parametric shortest and closest vector problems. Zbl 1464.11065Bogart, Tristram; Goodrick, John; Woods, Kevin 1 2020 An \(\ell-p\) switch trick to obtain a new proof of a criterion for arithmetic equivalence. Zbl 1471.11261Bogart, Tristram; Mantilla-Soler, Guillermo 2 2019 Parametric Presburger arithmetic: complexity of counting and quantifier elimination. Zbl 07197321Bogart, Tristram; Goodrick, John; Nguyen, Danny; Woods, Kevin 1 2019 A lower bound for the determinantal complexity of a hypersurface. Zbl 1375.14201Alper, Jarod; Bogart, Tristram; Velasco, Mauricio 7 2017 Parametric Presburger arithmetic: logic, combinatorics, and quasi-polynomial behavior. Zbl 1404.11029Bogart, Tristram; Goodrick, John; Woods, Kevin 6 2017 Finitely many smooth \(d\)-polytopes with \(n\) lattice points. Zbl 1327.52020Bogart, Tristram; Haase, Christian; Hering, Milena; Lorenz, Benjamin; Nill, Benjamin; Paffenholz, Andreas; Rote, Günter; Santos, Francisco; Schenck, Hal 9 2015 Hom-polytopes. Zbl 1264.52010Bogart, Tristram; Contois, Mark; Gubeladze, Joseph 3 2013 Obstructions to lifting tropical curves in surfaces in 3-space. Zbl 1312.14141Bogart, Tristram; Katz, Eric 8 2012 Enumeration of Golomb rulers and acyclic orientations of mixed graphs. Zbl 1253.05014Beck, Matthias; Bogart, Tristram; Pham, Tu 6 2012 Universal Gröbner bases of colored partition identities. Zbl 1259.05195Bogart, Tristram; Hemmecke, Ray; Petrović, Sonja 6 2012 Small Chvátal rank. Zbl 1198.90295Bogart, Tristram; Raymond, Annie; Thomas, Rekha 2 2010 Computing tropical varieties. Zbl 1121.14051Bogart, T.; Jensen, A. N.; Speyer, D.; Sturmfels, B.; Thomas, R. R. 74 2007 The circuit ideal of a vector configuration. Zbl 1180.13038Bogart, Tristram; Jensen, Anders N.; Thomas, Rekha R. 7 2007 all cited Publications top 5 cited Publications all top 5 Cited by 188 Authors 7 Grigor’ev, Dmitriĭ Yur’evich 7 Yu, Josephine 6 Jensen, Anders Nedergaard 5 Dickenstein, Alicia M. 5 Ren, Yue 5 Tabera, Luis Felipe 4 Bogart, Tristram 4 Ikenmeyer, Christian 4 Joswig, Michael 4 Markwig, Thomas 4 Thoma, Apostolos 4 Verschelde, Jan 3 Cueto, María Angélica 3 Goodrick, John 3 Gubeladze, Joseph 3 Keicher, Simon 3 Markwig, Hannah 3 O’Neill, Christopher 3 Radulescu, Ovidiu 3 Schmitz, Kirsten 3 Sturmfels, Bernd 3 Tatakis, Christos 3 Theobald, Thorsten 2 Beck, Matthias 2 Bernstein, Daniel Irving 2 Bläser, Markus 2 Bliss, Nathan 2 Boocher, Adam 2 Bürgisser, Peter 2 Gathmann, Andreas 2 Hampe, Simon 2 Hept, Kerstin 2 Hong, Hoon 2 Kahle, Thomas 2 Katsabekis, Anargyros 2 Landsberg, Joseph Montague 2 Leykin, Anton 2 Mantilla-Soler, Guillermo 2 Martínez-Peñas, Umberto 2 Nisse, Mounir 2 Pournin, Lionel 2 Schröter, Benjamin 2 Sendra, Juan Rafael 2 Shaw, Kris 2 Shitov, Yaroslav Nikolaevich 2 Tillmann, Stephan 2 Vorob’ëv, Nikolaĭ N. jun. 1 Adrovic, Danko 1 Alessandrini, Daniele 1 Aroca, Fuensanta 1 Averkov, Gennadiy 1 Awan, Jordan 1 Ay, Nihat 1 Backman, Spencer 1 Balaji, S. B. 1 Balletti, Gabriele 1 Bendle, Dominik 1 Bernardi, Olivier 1 Bihan, Frédéric 1 Birkmeyer, Anna Lena 1 Blado, Daniel 1 Böhm, Janko 1 Borger, Christopher 1 Brown, Bryan Christopher 1 Bruns, Winfried 1 Chan, Melody 1 Crawford, Joseph 1 David, Julien 1 Davydow, Alex 1 Delgado, Jessica 1 Deza, Antoine 1 Donten-Bury, Maria 1 Draisma, Jan 1 Dress, Andreas W. M. 1 Duff, Timothy 1 Eisenbud, David 1 Feichtner, Eva Maria 1 Finhold, Elisabeth 1 Fink, Alex 1 Fukuda, Komei 1 Gao, Xiaoshan 1 García-Marco, Ignacio 1 Geiger, Alheydis 1 Görlach, Paul 1 Guterman, Alexander Èmilevich 1 Häbich, Mathias 1 He, Xiang 1 Hemmecke, Raymond 1 Herrero, María Isabel 1 Hibi, Takayuki 1 Higashitani, Akihiro 1 Hofmann, Tommy 1 Hu, Youren 1 Hüttenhain, Jesko 1 Ichim, Bogdan 1 Ilardi, Giovanna 1 Jean-Louis, Taïna 1 Jonsson, Mattias 1 Kåhrström, Johan 1 Katthän, Lukas ...and 88 more Authors all top 5 Cited in 63 Serials 10 Journal of Symbolic Computation 10 Discrete & Computational Geometry 6 Journal of Algebra 6 Journal of Algebraic Combinatorics 5 Journal of Pure and Applied Algebra 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 3 Collectanea Mathematica 3 Journal of Combinatorial Theory. Series A 3 Manuscripta Mathematica 3 SIAM Journal on Discrete Mathematics 3 Linear Algebra and its Applications 3 Computational Complexity 3 Annals of Combinatorics 2 American Mathematical Monthly 2 Mathematics of Computation 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 International Journal of Mathematics 2 Differential Geometry and its Applications 2 Advances in Geometry 2 Mathematics in Computer Science 2 Foundations and Trends in Communications and Information Theory 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Moscow University Mathematics Bulletin 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Journal of Combinatorial Theory. Series B 1 Le Matematiche 1 Mathematics of Operations Research 1 Mathematica Slovaca 1 Mathematika 1 Semigroup Forum 1 Advances in Applied Mathematics 1 Operations Research Letters 1 Acta Mathematica Hungarica 1 Graphs and Combinatorics 1 International Journal of Approximate Reasoning 1 International Journal of Algebra and Computation 1 Expositiones Mathematicae 1 Applicable Algebra in Engineering, Communication and Computing 1 Experimental Mathematics 1 Algebra Colloquium 1 Mathematical Logic Quarterly (MLQ) 1 The Electronic Journal of Combinatorics 1 Transformation Groups 1 Foundations of Computational Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Involve 1 Journal of Commutative Algebra 1 The Journal of Software for Algebra and Geometry 1 Research in the Mathematical Sciences 1 Arnold Mathematical Journal 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 26 Fields 88 Algebraic geometry (14-XX) 34 Convex and discrete geometry (52-XX) 33 Commutative algebra (13-XX) 21 Computer science (68-XX) 18 Combinatorics (05-XX) 11 Number theory (11-XX) 11 Group theory and generalizations (20-XX) 9 Field theory and polynomials (12-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 Associative rings and algebras (16-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Geometry (51-XX) 5 Manifolds and cell complexes (57-XX) 4 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) Citations by Year