Incorporating seasonality in functional magnetic resonance imaging to assess reliability

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…

A Riemann-Hilbert approach to the Fractional NSL equation on a half-line.

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…

Dynamics of AMR beyond a single bacterial strain

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…

Characterization and affine equivalence of k-rotation symmetric Boolean functions.

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…

Visual Proofs

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

Identifying Outliers in Radio Astronomy Data Using the Generalized Spectral Kurtosis Estimator

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…

Dynamics Beyond Spacetime

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…