Regicide

REGICIDE is a Young Adult fantasy novel inspired by the works of Sarah J. Maas, Cinda Williams Chima, and Brandon Sanderson. It follows three different young adults as they struggle to come to terms with who they are versus how they present themselves in society. This novel confronts issues such as: accepting responsibility for one’s actions, how far familial bonds can stretch without breaking, preconceived notions of class, femininity in a dangerous and male-dominated slum, what it means to be strong, and how to live with weakness.Structure and pacing are some of the largest issues facing a plot driven work told from multiple viewpoints. This novel is structured based on the advice in Jessica Brody’s SAVE THE CAT! WRITES THE NOVEL. To combat the difficulties inherent in creating an enticing new story within an established genre, this work’s characters were developed and revised with Lacanian ideas of gender and sexuation in mind. REGICIDE will be an important addition to Young Adult fantasy and will contribute to the health of the genre with its infusion of new approaches and ideas

Learning Optimal Control of Synchronization in Networks of Coupled Oscillators using Genetic Programming-based Symbolic Regression

Networks of coupled dynamical systems provide a powerful way to model systems with enormously complex dynamics, such as the human brain. Control of synchronization in such networked systems has far reaching applications in many domains, including engineering and medicine. In this paper, we formulate the synchronization control in dynamical systems as an optimization problem and present a multi-objective genetic programming-based approach to infer optimal control functions that drive the system from a synchronized to a non-synchronized state and vice-versa. The genetic programming-based controller allows learning optimal control functions in an interpretable symbolic form. The effectiveness of the proposed approach is demonstrated in controlling synchronization in coupled oscillator systems linked in networks of increasing order complexity, ranging from a simple coupled oscillator system to a hierarchical network of coupled oscillators. The results show that the proposed method can learn highly-effective and interpretable control functions for such systems.Comment: Submitted to nonlinear dynamic

Bounded gaps between primes in number fields and function fields

The Hardy--Littlewood prime $k$-tuples conjecture has long been thought to be completely unapproachable with current methods. While this sadly remains true, startling breakthroughs of Zhang, Maynard, and Tao have nevertheless made significant progress toward this problem. In this work, we extend the Maynard-Tao method to both number fields and the function field $\mathbb{F}_q(t)$

Cylindrical gravitational waves in expanding universes: Models for waves from compact sources

New boundary conditions are imposed on the familiar cylindrical gravitational wave vacuum spacetimes. The new spacetime family represents cylindrical waves in a flat expanding (Kasner) universe. Space sections are flat and nonconical where the waves have not reached and wave amplitudes fall off more rapidly than they do in Einstein-Rosen solutions, permitting a more regular null inifinity.Comment: Minor corrections to references. A note added in proo