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publications
SEAR: A Polynomial- Time MultiRobot Path Planning Algorithm with Expected Constant-Factor Optimality Guarantee
Published in 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2018
We study the labeled multi-robot path planning problem in continuous 2D and 3D domains in the absence of obstacles where robots must not collide with each other.
Primes and Perfect Powers in the Catalan Triangle
Published in Journal of Integer Sequences, 2019
The Catalan triangle is an infinite lower-triangular matrix that generalizes the Catalan numbers. The entries of the Catalan triangle, denoted by \(c_{n,k}\), count the number of shortest lattice paths from \((0, 0)\) to \((n, k)\) that do not go above the main diagonal. This paper studies the occurrence of primes and perfect powers in the Catalan triangle.
A Model for Birdwatching and other Chronological Sampling Activities
Published in The American Mathematical Monthly, 2023
We study the intersections of time dependent events using an original random interval graph model.
Combinatorial Methods for Barcode Analysis
Published in Journal of Applied and Computational Topology, 2024
We study a new partial order on the space of barcodes closely related to the permutahedron. The resulting poset has connections to continuous metrics on barcodes such as the bottleneck and Wasserstein distances.
Evaluating disease surveillance strategies for early outbreak detection in contact networks with varying community structure
Published in Social Networks, 2024
We evaluated five sensor selection strategies on their ability to provide an early warning of a COVID-like outbreak in synthetic contact networks encapsulated in four network scenarios. Our findings suggest that the choice of the optimal strategy depends heavily on the community structure of the network.
talks
Young Mathematicians Conference 2016
Published:
Presented some initial results from “Primes and Perfect Powers in the Catalan Triangle”.
UC Davis Graduate Student Research Seminar
Published:
Practice qualifying exam presentation.
AIM Latinx Mathematician Research Community Meeting
Published:
Presented the results of our research group formed during the first AIM Latinx Mathematics Research Community Meeting.
Algebraic Statistics 2022
Published:
Presented on “A Model for Birdwatching and other Chronological Sampling Activities”.
Applied Topology in Albany 2022
Published:
Presented early findings of “Combinatorial Methods for Barcode Analysis”.
Society for Industrial and Applied Math Conference on Discrete Mathematics 2022 (SIAM-DM22)
Published:
Presented early findings of “Combinatorial Methods for Barcode Analysis”.
University of Florida Topological Data Analysis Conference (UF-TDA-2023)
Published:
Presented new findings of “Combinatorial Methods for Barcode Analysis”.
Graduate Student Combinatorics Conference 2023 (GSCC-2023)
Published:
Presented new findings of “Combinatorial Methods for Barcode Analysis”.
AMS 2023 Spring Central Sectional Meeting
Published:
Presented new findings of “Combinatorial Methods for Barcode Analysis”.
UC Davis Graduate Student Research Seminar
Published:
PhD exit seminar presenting my thesis research.
teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
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Teaching experience 2
Workshop, University 1, Department, 2015
This is a description of a teaching experience. You can use markdown like any other post.