Research
My mathematical interests lie, broadly speaking, in algebraic combinatorics. Specially in using combinatoric tools to build bridges between combinatorics, geometry, and representation theory. Currently, I am studying ideals coming from Springer Fibers which are a subvariety of the Flag Variety that are parametrized by partitions.
During my undergraduate years, I conducted research on the posets associated with cancellative monoids and their associated Möbius and zeta functions and have since then thought about monops coming from these structures and extending the theory to the case coming from rigid species.
As an undergraduate I also applied multivariable analysis techniques like Canonical Biplot and Cluster analysis to study the "preparedness" of the Ecuadorian public health system to the COVID-19 crisis.
Publications*
Journal Articles
M. C. Sabando-Alvarez, D. X. Tallana-Chimarro, I. Amaro, and F. Camacho, Statistical analysis of the impact of COVID-19: a study case on several countries, Bulletin of Computational Applied Mathematics, Vol. 9, No.1, 2021.
Conference Proceedings
M. C. Sabando, D. Tallana-Chimarro, and I. Amaro, Health Impact Analysis of COVID-19 in Ecuadorian Provinces: A Statistical Approach. Proceedings of the 6th Brazilian Technology Symposium - Emerging Trends and Challenges in Technology.
Theses
Undegrad Thesis: Numerical monoids, numerical operads and applications to combinatorics. Available at: https://bit.ly/3OuEMqI
Miscellaneous
Sabando Alvarez, Cristina. 2021. «Eventos». ASOiMAT 7 (3). Quito, EC. https://revistaasoimat.epn.edu.ec/index.php/ASOiMAT/article/view/102.
Talks*
Research Talks
C. Sabando Alvarez, A hero's journey through Springer's quest, Third Year Candidacy Exam, WashU Combinatorics Seminar, March 5th, 2024.
C. Sabando Alvarez, Numerical monoids, numerical operads and beyond, IX Conferencia de Matematicos Ecuatorianos en Parıs (ConMatE-P), November 6th, 2023.
C. Sabando Alvarez, Joining the Odds and the idea for a monop, TACO Seminar, Loyola University Chicago, April 4th, 2023.
C. Sabando Alvarez, Joining the Odds and the idea for a monop, GSCC2023, Washington University in St. Louis, March 17th, 2023.
C. Sabando Alvarez, Numerical monoids and numerical operads, Szego Seminar, Washington University in St. Louis, March 8th, 2022.
S. Nishimura and M. C. Sabando Alvarez, Degeneraciones de variedades de Schubert, presented at Sexta Escuela (virtual) de Invierno en Matemáticas en Oaxaca, February 2021 (online), Available at: https://bit.ly/3yj7cNp.
M.C. Sabando Alvarez and M. Méndez, Monoides numéricos, operads numéricos y aplicaciones en combinatoria, presented at II Jornadas Ecuatorianas de Matemáticas, December 2020 (online), Available at:https://bit.ly/3GA3YYK.
M. Cristina Sabando, D. Tallana-Chimarro, Isidro R. Amaro, and F. Camacho, Statistical analysis of the impact of COVID-19: a study case on several countries., presented at IV Conferencia Científica Internacional - III Congreso de Ciencias Básicas, October 2020 (online), Universidad Técnica de Manabí (Ecuador).
Outreach Talks
Numerical monoids and numerical operads, Introductory presentation at Yachay Tech’s Math Club on December 2020, Part of the Gourmet Math Initiative.
Tic-Tac-Toe: Beyond a Mathematical Carnival, Outreach talk on Tic-Tac-Toe and isomorphic games at Yachay Tech’s Math Club on March 2019.
Group Theory and Sudoku Tables, Outreach talk on the application of group theory to sudoku tables at Yachay Tech’s Math Club on September 2018. Based on “Cosets and Cayley-Sudoku Tables”.
*For a more updated list, check my CV.