Publications and Preprints

1. Numerical semigroups via projections and via quotients (with Christopher O'Neill and Kevin Woods.) Accepted for publication in Discrete and Computational Geometry.
2. An Ehrhart theoretic approach to generalized Golomb rulers (with Daniel Felipe Cuéllar.) Submitted.
3. When is a numerical semigroup a quotient? (with Christopher O'Neill and Kevin Woods.) Bulletin of the Australian Mathematical Society v. 109, 2024, pp. 67-76.
4. Bounds on determinantal complexity of two types of generalised permanents (with Juan Andrés Valero.) Submitted.
5. Complex psd-minimal polytopes in dimensions two and three (with João Gouveia and Juan Camilo Torres.) Journal of Algebra and its Applications v. 23 (2), 2024, article 2450025.
6. A Plethora of Polynomials: A Toolbox for Counting Problems(with Kevin Woods.) The American Mathematical Monthly v. 129 (3), 2022, pp. 203-222.
7. An Algebraic Approach to Projective Uniqueness with an Application to Order Polytopes (with João Gouveia and Juan Camilo Torres.) Discrete and Computational Geometry v. 67 (2), 2021, pp. 462-491.
8. Constructing Partial MDS Codes from Reducible Curves (with Anna-Lena Horlemann-Trautmann, David Karpuk, Alessandro Neri, and Mauricio Velasco.) SIAM Journal on Discrete Mathematics v. 35 (4), 2021, pp. 2946-2970.
9. Periodic behavior in families of numerical and affine semigroups via parametric Presburger arithmetic (with John Goodrick and Kevin Woods.) Semigroup Forum v. 102 (2), 2021, pp. 340-356.
10. The Parametric Shortest and Closest Vector Problems (with John Goodrick and Kevin Woods.) SIAM Journal on Discrete Mathematics v. 34 (4), 2020, pp. 2363-2387.
11. Parametric Presburger arithmetic: complexity of counting and quantifier elimination (with John Goodrick, Danny Nguyen, and Kevin Woods.)Mathematical Logic Quarterly, v. 65 (2), 2019, pp. 237-250.
12. An l--p switch trick to obtain a new elementary proof of a criterion for arithmetic equivalence (with Guillermo Mantilla-Soler.) Research in Number Theory, v. 5 (1), 2019, article 1.
13. Superlinear subset partition graphs with strong adjacency, endpoint-count, and dimension reduction (with Edward D. Kim.) Combinatorica, v. 38 (1), 2018, pp. 75-114.
14. Parametric Presburger arithmetic: logic, combinatorics, and quasi-polynomial behavior (with John Goodrick and Kevin Woods.) Discrete Analysis (2017) #4.
15. A lower bound for the determinantal complexity of a hypersurface (with Jarod Alper and Mauricio Velasco.) Foundations of Computational Mathematics. v. 17 (3), 2017, pp. 829-836.
16. 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
17. 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.
18. Universal Gröbner bases of colored partition identities (with Raymond Hemmecke and Sonja Petrović.) Experimental Mathematics v. 21 (4) 2012, pp. 395-401.
19. Hom-polytopes (with Mark Contois and Joseph Gubeladze.) Mathematische Zeitschrift v. 272, 2013, pp. 1267-1296.
20. 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.
21. 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.
22. Small Chvatal rank (with Annie Raymond and Rekha Thomas.) Mathematical Programming, Series B v. 124 (1-2), 2010, pp. 45--68.
23. The circuit ideal of a vector configuration. (with Anders Jensen and Rekha Thomas.) Journal of Algebra v. 309 (2), 2007, pp. 518-542.
24. 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.

    
    This page was first created on 1 March 2020.
    Last update: 25 January 2024.