• Stochastic modeling of neutron population fluctuations and pile noise using statistical approaches; integrates Rice-based variance and finite-size effects to quantify noise scaling near criticality across reactor types [1], [18], [15].

• Perturbation/transport analyses of how perturbations (absorbing foils, resonance absorbers) modify thermal neutron fields and neutron age, including corrections to flux depression and resonance integrals via transport theory [4], [2], [3], [14], [12].

• Nuclear data and parameter extraction for reactor calculations: neutron yields by fission fragments, level density, effective neutron temperatures, resonance integrals, and cross sections; enabling improved reaction-rate predictions [5], [13], [7], [14], [12], [8].

• Reactor design, mixing, and flow modeling across tubular and fixed-bed systems, focusing on mixing, axial diffusion, selectivity, and flow-induced conversion; includes flow- reactor performance, fixed-bed network models, and xenon-related flux oscillations [9], [16], [11], [17], [20].

• Activation analysis and isotope production in reactors: neutron-activation analysis sensitivities and Be-7 production in NRX via multiple reactions, illustrating activation-based diagnostics and isotope production pathways [10], [6], [19].