Tristram Bogart Associate Professor Department of Mathematics Los Andes University, Colombia tc.bogart22 (at) uniandes.edu.co |

- Parametrized Presburger arithmetic: logic, combinatorics, and quasi-polynomial behavior (with John Goodrick and Kevin Woods.)
*Discrete Analysis*(2017) #4. - A lower bound for the determinantal complexity of a hypersurface (with Jarod Alper and Mauricio Velasco.) To appear in
*Foundations of Computational Mathematics.* - Superlinear subset partition graphs with strong adjacency, endpoint-count, and dimension reduction (with Edward D. Kim.) To appear in
*Combinatorica.* - Finitely many smooth lattice d-polytopes with n lattice points (with C. Haase, M. Hering, B. Lorenz, B. Nill, A. Paffenholz, G. Rota, F. Santos, and H. Schenck.)
*Israel Journal of Mathematics*v. 207 (1), 2015, pp.301-329 - Enumeration of Golomb
Rulers and Acyclic Orientations of Mixed Graphs (with Matthias Beck and Tu Pham.)
*Electronic Journal of Combinatorics*v. 19 (3), 2012, P42. - Universal Gröbner
bases of colored partition identities (with Raymond Hemmecke and
Sonja Petrović.)
*Experimental Mathematics*v. 21 (4) 2012, pp. 395-401. - Hom-polytopes (with Mark Contois and Joseph Gubeladze.)
*Mathematische Zeitschrift*v. 272, 2013, pp. 1267-1296. - Obstructions to
lifting tropical curves in surfaces in 3-space (with Eric Katz.)
*Siam Journal on Discrete Mathematics*v. 26 (3), 2012 pp. 1050-1067. - Riffs on the
infinite ping-pong ball conundrum (with Ami
Mamolo.)
*International Journal of Mathematical Education in Science and Technology*v. 42 (5), 2011, pp. 615--623. - Small Chvatal rank
(with Annie Raymond and Rekha Thomas.)
*Mathematical Programming, Series B*v. 124 (1-2), 2010, pp. 45--68. - The circuit ideal
of a vector configuration. (with Anders Jensen and Rekha Thomas.)
*Journal of Algebra*v. 309 (2), 2007, pp. 518-542. - Computing tropical
varieties (with Anders Jensen, David Speyer, Bernd Sturmfels, and
Rekha Thomas.)
*Journal of Symbolic Computation*, v. 42, 2007, no. 1-2, pp. 54-73.

- Juan Camilo Torres (Los Andes, current)

- Tu Pham (San Francisco State, June 2011, coadvised with Matthias Beck)

- Juan Camilo Azuero (Los Andes, current)
- Julián Chitiva (Los Andes, current)
- Daniel Tamayo (Los Andes, current)
- Juan Pablo Henao (Los Andes, December 2015)
- Jorge Alberto Olarte (Los Andes, June 2014)
- Daniel Ávila (Los Andes, June 2014)
- Federico Castillo (Los Andes, June 2012)

- MATE 2510 [Honors Probability]
- MATE 1105 [Linear Algebra I]

- MATE 2113 [Enumerative and Algebraic Combinatorics] in fall 2016
- MATE 1105 [Linear Algebra I] in fall 2016
- MATE 3101 [Abstract Algebra II] in spring 2016
- MATE 1105 [Linear Algebra I] in spring 2016
- MATE 1105 [Linear Algebra I] in fall 2015
- MATE 3181/4181 [Computational Complexity] in fall 2015
- MATE 1102 [Foundations of Mathematics] in spring 2015
- MATE 2301 [Differential Equations] in spring 2015
- MATE 3172/4172 [Permutation Groups] in fall 2014
- MATE 1105 [Linear Algebra I] in fall 2014
- MATE 3113/4113 [Algebraic Combinatorics] in spring 2014
- MATE 1105 [Linear Algebra I] in spring 2014
- MATE 1103 [Number Theory] in autumn 2013
- MATE 1105 [Linear Algebra I] in autumn 2013
- MATE 1105 [Linear Algebra I] in spring 2012
- MATE 1102 [Foundations of Mathematics] in autumn 2012
- MATE 1105 [Linear Algebra I] in autumn 2012
- MATE 1214 [Integral Calculus with Differential Equations] in spring 2012
- MATE 2112-1 [Introduction to Combinatorics] in spring 2012
- MATH 226 [Calculus I] in autumn 2010 at San Francisco State University
- APSC 174 [Linear Algebra I] in spring 2010 at Queen's University.
- APSC 312 [Linear Algebra II] in winter 2009 at Queen's
- APSC 171 [Calculus I] in autumn 2008 at Queen's
- Math 126 [Calculus for Economics] in 2007-08 at Queen's
- Math 308 C [Linear Algebra] in spring 2007 at the University of Washington
- Math 126 E [Calculus III] in spring 2006 at Washington
- Math 120 U [Precalculus] in autumn 2004 at Washington
- Math 126 U [Calculus III] in spring 2004 at Washington
- Math 124 U [Calculus I] in summer 2003 at Washington

This page was first created on 8 February 2012.

Last update: 20 January 2017