Bogart T, Woods K. (2022)
A Plethora of Polynomials: a Toolbox for Counting Problems
American Mathematical Monthly (ISSN 0002-9890)
Article
Tristram Charles Bogart
Tristram Charles Bogart
DOCTOR OF PHILOSOPHY
tc.bogart22 @uniandes.edu.co
Office: H-403
Extension: 5223
Profile
I am an associate professor in the Department of Mathematics at Universidad de los Andes. I obtained my Ph.D. in mathematics in 2007 from the University of Washington under the direction of Professor Rekha Thomas. My research area is the interface between combinatorics and algebra. My primary interest is the theory of convex polytopes, both as important mathematical objects in their own right and also for their applications to toric and tropical geometry. I enjoy collaborating with students and supervising theses in combinatorics and algebra.
Recent Courses
- 2021
CÁLCULO DIFERENCIAL
First period
Bachelor Level
ALGEBRA CONMUTATIVA
First period
Master Level
Recent Products
Bogart T, Gouveia J, Torres J. (2021)
An algebraic approach to projective uniqueness with an application to order polytopes
Discrete and Computational Geometry (ISSN 0179-5376)
Article
Recent Degrees
DOCTOR OF PHILOSOPHY
Doctoral degree
University Of Washington
2007
Estados Unidos
Recent Projects
- 2012
- Proyecto Apoyo Profesores Asistentes 1559
Duration: 36 months
PR.3.2011.1559.tc.bogart22
Courses
- 2021
CÁLCULO DIFERENCIAL
First period
Bachelor Level
ALGEBRA CONMUTATIVA
First period
Master Level
- 2020
- 2019
- 2018
- 2017
- 2016
- 2015
- 2014
- 2013
Products
Bogart T, Woods K. (2022)
A Plethora of Polynomials: a Toolbox for Counting Problems
American Mathematical Monthly (ISSN 0002-9890)
Article
Bogart T, Gouveia J, Torres J. (2021)
An algebraic approach to projective uniqueness with an application to order polytopes
Discrete and Computational Geometry (ISSN 0179-5376)
Article
Velasco M, Bogart T, Karpuk D, Anna-Lena, Anna Lena. (2021)
Constructing Partial MDS Codes from Reducible Curves
SIAM Journal on Discrete Mathematics (ISSN 0895-4801)
Article
Bogart T, Goodrick J, Woods K. (2021)
Periodic behavior in families of numerical and affine semigroups via parametric Presburger arithmetic
Semigroup Forum (ISSN 0037-1912)
Article
Bogart T, Goodrick J, Woods K. (2020)
A PARAMETRIC VERSION OF LLL AND SOME CONSEQUENCES: PARAMETRIC SHORTEST AND CLOSEST VECTOR PROBLEMS
SIAM Journal on Discrete Mathematics (ISSN 0895-4801)
Article
Escobar C .(2020). Algorithms for Factoring Large Integers.
Algorithms for Factoring Large Integers
Thesis
Gutierrez E .(2020). El Waring rank y barreras en los métodos de rank.
El Waring rank y barreras en los métodos de rank
Thesis
Pulido J .(2020). h^*-vectors of smooth Fano polytopes and their duals.
h^*-vectors of smooth Fano polytopes and their duals
Thesis
Bogart T, Mantilla G. (2019)
An l-p switch trick to obtain a new proof of a criterion for arithmetic equivalence
Research in Number Theory (ISSN 2363-9555)
Article
Bogart T, Goodrick J, Woods K. (2019)
Parametric Presburger arithmetic: complexity of counting and quantifier elimination
Mathematical Logic Quarterly (ISSN 09425616)
Article
Bogart T, Kim E. (2018)
Superlinear subset partition graphs with dimension reduction, strong adjacency, and endpoint count
Combinatorica (ISSN 0209-9683)
Article
Alper J, Bogart T, Velasco M. (2017)
A Lower Bound for the Determinantal Complexity of a Hypersurface
Foundations of Computational Mathematics (ISSN 1615-3375)
Article
Bogart T, Goodrick J, Woods K. (2017)
Parametric Presburger Arithmetic: Logic, combinatorics, and quasi-polynomial behavior
Discrete Analysis (ISSN 2397-3129)
Article
Tamayo D .(2017). Pattern Avoiding Subpolytopes of the Permutahedron.
Pattern Avoiding Subpolytopes of the Permutahedron
Thesis
Chitiva J .(2017). Tropical geometry and mechanism design.
Tropical geometry and mechanism design
Thesis
Azuero J .(2017). Unimodalidad y Teoría de Ehrhart.
Unimodalidad y Teoría de Ehrhart
Thesis
Henao J .(2015). El problema del árbol mínimo generador de un grafo. Algoritmos y complejidad..
El problema del árbol mínimo generador de un grafo. Algoritmos y complejidad.
Thesis
Bogart T, Haase C, Hering M, Lorenz B, Nill B, Paffenholz A, Rotter G, Santos F, Schenck H. (2015)
FINITELY MANY SMOOTH d-POLYTOPES WITH n LATTICE POINTS
Israel Journal of Mathematics (ISSN 0021-2172)
Article
Avila D .(2014). Groebner Bases and Symmetries.
Groebner Bases and Symmetries
Thesis
Olarte J .(2014). Stanley's Matroid Conjecture and a Recursive Construction of Order Ideals.
Stanley's Matroid Conjecture and a Recursive Construction of Order Ideals
Thesis
Bogart T, Contois M, Gubeladze J. (2013)
Hom-Polytopes
Mathematische Zeitschrift (ISSN 0025-5874)
Article
Bogart T, Beck M, Pha T. (2012)
Enumeration of Golomb Rulers and Acyclic Orientations of Mixed Graphs
Electronic Journal of Combinatorics (ISSN 1077-8926)
Article
Bogart T. (2012)
Obstructions to lifting Tropical Curves in Surfaces in 3-Spaces
SIAM Journal on Discrete Mathematics (ISSN 0895-4801)
Article
Bogart T. (2012)
Universal Gröbner Bases of Colored Partition Identites
EXPERIMENTAL MATHEMATICS (ISSN 1944-950X)
Article
Bogart T, Mamolo A. (2011)
Riffs on the infinite ping-pong ball conundrum
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY (ISSN 0020-739X)
Article
Bogart T, Raymond A, Rekha T. (2010)
Small Chvatal Rank
Mathematical Programming, Series B (ISSN 0025-5610)
Article
Bogart T, Jensen A, Speyer D, Sturmfels B, Rekha T. (2007)
Computing tropical varieties
Journal of Symbolic Computation (ISSN 0747-7171)
Article
Bogart T, Jensen A, Rekha T. (2007)
The circuit ideal of a vector configuration
Journal of Algebra (ISSN 0021-8693)
Article
Degrees
DOCTOR OF PHILOSOPHY
Doctoral degree
University Of Washington
2007
Estados Unidos
Projects
- 2012
- Proyecto Apoyo Profesores Asistentes 1559
Duration: 36 months
PR.3.2011.1559.tc.bogart22