Andrés R. Vindas Meléndez
NSF Postdoctoral Research Fellow
Department of Mathematics
University of California, Berkeley
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Research Interests:
- Algebraic, enumerative, and geometric combinatorics.
- Scholarship of teaching and learning.
- Quantitative justice.
Research Articles & Preprints:
q-Chromatic polynomials (with E. Bajo and M. Beck), submitted, arXiv:2403.19573.
Combinatorics of generalized parking-function polytopes (with M.M. Bayer, S. Borgwardt, T. Chambers, S. Daugherty, A. Dawkins, D. Deligeorgaki, H. Liao, T. McAllister, A. Morrison, G. Nelson), submitted, arXiv:2403.07387.
Combinatorial results on barcode lattices
(with A. Bouquet), submitted, arXiv:2312.08705.
Ehrhart positivity of panhandle matroids and a bound for paving matroids (with D. Deligeorgaki and D. McGinnis), submitted, arXiv:2311.01640.
Local h*-polynomials for one-row Hermite normal form simplices
(with E. Bajo, B. Braun and G. Codenotti and J. Hofscheier), submitted, arXiv:2309.01186.
Stack-sorting simplices: geometry and lattice-point enumeration
(with C. Mitchell and E. Lee), submitted, arXiv:2308.16457.
A combinatorial proof of a tantalizing symmetry on Catalan objects (with M. Bóna, S. Dimitrov, G. Labelle, Y. Li, J. Pappe, and Y. Zhuang), submitted, arXiv:2212.10586.
Generalized parking function polytopes (with M. Hanada and J. Lentfer), to appear in Annals of Combinatorics, arXiv:2212.06885.
On the critical group of hinge graphs (with A. Martinian), to appear in Rocky Mountain Journal of Mathematics, arXiv:2210.01793.
Ehrhart theory of paving and panhandle matroids (with D. Hanely, J.L. Martin, D. McGinnis, D. Miyata, G. Nasr, and M. Yin), Advances in Geometry, 23 (2023), no. 4,
501–526, arXiv:2201.12442.
Maximal chains in bond lattices (with S. Ahirwar, S. Fishel, P. Gya, P.E. Harris, N. Pham, and D.K. Vo), The Electronic Journal of Combinatorics, 29 (2022), no. 3, Paper No. 3.11.
Enumerating k-Naples parking functions through Catalan objects (with J. Carvalho, P.E. Harris, G. Rojas Kirby, and N. Tripeny), to appear in Integers, arXiv:2109.01735.
Triangulations, order polytopes, and generalized snake posets (with M. Bell, B. Braun, D. Hanely, K. Serhiyenko, J. Vega, and M. Yip), Combinatorial Theory, 2 (2022), no. 3, Paper No. 10, 34, arXiv:2102.11306.
Counting k-Naples parking functions through permutations and the k-Naples area statistic (with L. Colmenarejo, P.E. Harris, Z. Jones, C. Keller, A. Ramos Rodríguez, and E. Sukarto), Enumerative Combinatorics and Applications, 1 (2021), no. 2, Paper No. S2R11, 16 pp., arXiv:2009.01124.
Decompositions of Ehrhart h*-polynomials for rational polytopes (with M. Beck and B. Braun), Discrete & Computational Geometry, 68 (2022), no. 1, 50-71, arXiv:2006.10076.
The equivariant Ehrhart theory of the permutahedron (with F. Ardila and M. Supina), Proceedings of the American Mathematical Society, 148 (2020), no. 12, 5091-5107, arXiv:1911.11159.
The equivariant volumes of the permutahedron (with F. Ardila and A. Schindler), Discrete & Computational Geometry, 65 (2021), no. 3, 618-635, arXiv:1803.02377.
Expository Articles:
A brief survey on lattice zonotopes (with B. Braun), Algebraic and Geometric Combinatorics on Lattice Polytopes, Proceedings of the Summer Workshop on Lattice Polytopes, T. Hibi and A. Tsuchiya (eds), World Scientific, New Jersey, 2019, pp. 101-116.
Books Edited:
Testimonios: Stories of Latinx and Hispanic Mathematicians (with P.E. Harris, A. Prieto Langarica, V. Rivera Quiñones, R. Uscanga, and L. Sordo Vieira, editors), AMS/MAA Textbooks, 67. Classroom Resource Materials. MAA Press, Providence, RI, 2021.
Theses:
Combinatorial invariants of rational polytopes, Doctoral Dissertation, University of Kentucky, 2021.
Two problems on lattice point enumeration of rational polytopes, Master's Thesis,
San Francisco State University, 2017.
Writing on Mathematics, Education, Culture, and Society:
Quantifying Inequities and Documenting Elitism in PhD-granting Mathematical Sciences Departments in the United States (with R. Buckmire, C. Diaz Eaton, J.E. Hibdon, Jr., J. Kauba, D. Lewis, O. Ortega, J.L. Pabón, R. Roca, and S. Zhang), submitted.
The Mathematics of Mathematics: Using Mathematics and Data Science to Analyze the Mathematical Sciences Community and Enhance Social Justice
(with R. Buckmire, J.E. Hibdon, Jr., D. Lewis, O. Ortega, J.L. Pabón, and R. Roca), submitted.
Data Science and Social Justice in the Mathematics Community (with Q. Jones, A. Mendible, M. Aminian, H.Z. Brooks, N. Alexander, C. Diaz Eaton, and P. Chodrow), Notices of the American Mathematical Society, 70 (2023), no. 9, 1479-1489, arXiv:303.09282.
On definitions of "mathematician" (with R. Buckmire, C. Diaz Eaton, J.E. Hibdon, Jr., K.M. Kinnaird, D. Lewis, J. Libertini, O. Ortega, and R. Roca), Journal of Humanistic Mathematics, Volume 13 Issue 2 (July 2023), pp. 8-38, arXiv:2302.07432.
A Reflection on Growth Mindset and Meritocracy (with R.L. Petrik and J. Vega), Journal of Humanistic Mathematics, Volume 12 Issue 1 (January 2022), pp. 408-421.
Taking steps towards action-based equity work (with J. Vega), Practices and Policies: Advocating for Students of Color in Mathematics, Pamela E. Harris and Aris Winger (eds), CreateSpace, 2021.
Introducing Testimonios: A Collection of Stories of Latinx and Hispanic Mathematicians (with P.E. Harris, A. Prieto Langarica, V. Rivera Quiñones, R. Uscanga, and L. Sordo Vieira), Notices of the American Mathematical Society, 68 (2021), no. 8, 1336-1344.
2021 Lathisms: Latinxs and Hispanics in the Mathematical Sciences (with P.E. Harris, A. Prieto Langarica, V. Rivera Quiñones, R. Uscanga, and L. Sordo Vieira), Notices of the American Mathematical Society, 68 (2021), no. 8, 1351-1355.
Math SWAGGER: Building a Virtual Community (with A. Alonso, J. Camero, A. Castillo, A. Diaz-Lopez, P.E. Harris, V. Rivera Quiñones, L. Sordo Vieira, F. Ulysse, V. Uribe, S. Wilson, A. Winger, and M. Young), Notices of the American Mathematical Society, 67 (2020), no. 11, 1743-1746.
2020 Lathisms: Latinxs and Hispanics in the Mathematical Sciences (with P.E. Harris, A. Prieto Langarica, V. Rivera Quiñones, R. Uscanga, and L. Sordo Vieira), Notices of the American Mathematical Society, 67 (2020), no. 8, 1165-1169.
Mathematics (Combinatorics) the Colombian Way: ECCO 2018, e-Mentoring
Network in the Mathematical Sciences - connecting students and mentors. AMS
Blogs. June 22, 2018.
Writing Contributions to AMS & MAA Blogs:
A Reflection on Giving ONLINE Talks (with L. Colmenarejo), Graduate Student Blog - by and for math graduate students. AMS Blogs. January 6, 2021.
Establishing Self-Care Practices While Pursuing a Math Grad Degree (with A. Alonso, J. Camero, A. Castillo, A. Diaz-Lopez, P.E. Harris, V. Rivera Quiñones, L. Sordo Vieira, F. Ulysse, V. Uribe, S. Wilson, A. Winger, and M. Young), MAA Math Values Blog, August 7, 2020.
Staying the path: Motivation through graduate school (with A. Alonso, J. Camero, A. Castillo, A. Diaz-Lopez, P.E. Harris, V. Rivera Quiñones, L. Sordo Vieira, F. Ulysse, V. Uribe, S. Wilson, A. Winger, and M. Young), e-Mentoring Network in the Mathematical Sciences - connecting students and mentors. AMS Blogs. July 31, 2020.
A Reflection on Giving Talks, Graduate Student Blog - by and for math graduate students. AMS Blogs. February 29, 2020.
Mathematics at 2019 SACNAS, Graduate Student Blog - by and for math graduate students. AMS Blogs. November 12, 2019.
Fellowships, Grants, and Awards: Advice from Award Recipients (with contributors), Graduate Student Blog - by and for math graduate students. AMS Blogs. September 18, 2019.