Abstract: The COVID-19 pandemic has highlighted significant challenges for public health systems worldwide, demonstrating not only the lethality of infectious diseases but also the critical role of public behavior that influence case numbers and mortality rates, particularly in geographically isolated regions like Puerto Rico. This study presents a metapopulation model framework to analyze the transmission…
Abstract: Functional magnetic resonance imaging (fMRI) is a noninvasive tool for studying regions related to some particular stimulus. To find these regions, the stimulus is typically applied in the form of event-related or block-design. Due to this, fMRI experiments have a natural seasonal pattern. In this work, we used different seasonal time series models in…
Abstract: The fractional Schrodinger equation generalizes the standard Schrodinger equation by incorporating fractional derivatives, extending traditional quantum mechanics through fractional calculus. This approach provides a more flexible framework for modeling quantum systems with anomalous diffusion or complex geometries. Research in this field is dynamic, with ongoing exploration of both theoretical foundations and experimental implications, offering…
Abstract: In this presentation, we explore the growing threat of antimicrobial resistance (AMR), a major global public health issue that complicates the elimination of harmful microorganisms in the host. Mathematical models have significantly contributed to the understanding of AMR dynamics and identifying strategies to combat bacterial infections, although they have primarily focused on single bacterial…
Abstract: Rotation symmetric Boolean functions were introduced by Pieprzyk and Qu in 1999. They proved that these functions have efficient and secured cryptographic implementations. Later, in 2007, Kavut and Yucel found a function that exceed the Bent concatenation bound in this new class of functions. Concepts such as affine equivalence, Hamming weight, and nonlinearity have…
Abstract In this talk we explore the teaching of mathematics through the students’ eyes (Miller, 2010), a framework to guide teachers to become critically reflective. We present two research projects where we acknowledge our students’ perceptions and experiences as tools for teaching mathematics. The first project examines the experience of a group of 15 teachers…
Abstract: The problem of determining the configuration of a rotating self-gravitating mass distribution is an old one, dating back to the time of Newton itself. Most work to date has been for the case of a fluid, like a star, in which the density, velocity, and gravitational potential are the unknowns. The “advantage” in this…
Abstract: Visualization is fundamental to mathematics. The late Fields Medalist Bill Thurston began practicing visualization every day as a first grader. We will practice our visualization and will present visual proofs from combinatorics, analysis, geometry, and topology. Important questions arise including: are visual proofs rigorous? Virtual meeting link
Abstract: As innovation and technologies associated with man-made transmissions progress, complex and new challenges emerge in radio astronomy due to Radio Frequency Interference (RFI). Hence, novel development of software and hardware to detect and mitigate its effects on scientific data are paramount. In this talk we will discuss the successful implementation of the Generalized Spectral…
Abstract Many high-energy theoretical physicists say that “spacetime is doomed,” that spacetime is not fundamental because it has no operational meaning beyond the Planck scale. In the last decade they have found structures beyond spacetime, such as decorated permutations, which predict the amplitudes for scattering processes of particles in spacetime. We show that decorated permutations…