My research examines emergent structure, coherence, and spatial organization in interacting systems across physics, computation, and complex systems theory. Drawing from condensed matter physics, statistical mechanics, nonlinear dynamics, and transport-based models of organization, I investigate how structure arises through distributed interactions rather than imposed form.
Current work focuses on quasiclassical transport theory, nonequilibrium superconductivity, and computational approaches to matrix-valued transport equations, including Riccati formulations and finite-element methods for complex geometries. These investigations connect to broader questions of coherence, collective behavior, and interaction-driven organization across scales.
This research develops alongside my painting practice, In Metamorfosi, where spatial transformation, relational structure, and emergent organization are explored through material and perceptual systems. Across both domains, my work investigates how complex order forms, destabilizes, and reorganizes within continuous fields of interaction.
Emergent Structure and Coherence in Interacting Systems
Working Paper, May 2026
This work develops a framework for emergent structure and coherence in interacting systems grounded in condensed matter physics, statistical physics, and nonequilibrium transport theory. Rather than treating organization as a fixed outcome of symmetry-breaking transitions, the framework considers structure as a continuously evolving relational process arising through interactions among many components.
The research examines how coherence, spatial organization, and collective behavior develop across scales in interacting nonequilibrium systems. Order parameters are treated as dynamical quantities encoding evolving correlations within the system rather than as static descriptors of equilibrium states. Coherence is understood as an emergent field-like condition capable of formation, stabilization, transport, and reorganization.
Computational investigations explore simplified matrix-valued transport systems motivated by quasiclassical formulations of nonequilibrium superconductivity and interacting coherence dynamics. Numerical work focuses on iterative transport behavior, matrix-valued propagator structure, nonlinear operator stability, and self-consistent evolution in interacting systems.
Experimental investigations examine how coherence generates spatial structure within optical interference fields and how controlled perturbations alter, degrade, or reorganize that structure. Using interference visibility, spatial pattern evolution, and perturbation-sensitive coherence behavior as measurable observables, the work connects computational transport investigations with broader questions in photonics, wave dynamics, coherent sensing, and emergent organization in interacting systems.
Matrix-Valued Riccati Transport Systems and Coherence Dynamics in Nonequilibrium Superconductivity
Proposed Computational, May 2026
This research investigates matrix-valued Riccati transport formulations arising in quasiclassical nonequilibrium superconductivity and interacting coherence systems. The work examines numerical propagation of coherence amplitudes, self-consistent order-parameter evolution, and stability considerations associated with coupled nonlinear transport equations. Current investigations focus on iterative transport dynamics, matrix-valued propagator structure, conditioning of nonlinear operators, Matsubara summation, and finite-element approaches to transport systems in complex geometries.
The project is informed by contemporary quasiclassical transport formulations and coherence-based approaches to interacting superconducting systems.
Coherence, Perturbation, and Emergent Spatial Structure in Optical Fields
Proposed Experimental Investigation, May 2026
This project investigates how coherence generates spatial structure and how controlled perturbations alter, degrade, or reorganize that structure within a coherent optical field. Using optical interference systems, the research examines perturbation-sensitive coherence behavior through fringe visibility, interference stability, and spatial pattern evolution.
The investigation establishes an experimentally accessible framework for studying coherence-driven structure formation in optical interference systems. Using interference visibility, spatial pattern evolution, and perturbation-sensitive coherence behavior as measurable observables, the work examines how coherent spatial organization forms, destabilizes, and reorganizes under controlled perturbations., and connects optical interference phenomena with broader questions in photonics, wave dynamics, coherent sensing, and emergent organization in interacting systems.