Doctor of Philosophy, University of Akron, 2024, Polymer Science

Atactic-poly(acrylonitrile) (PAN) is an industrially important polymer material because it is used as a significant precursor for carbon fiber (CF).In CF production, three important heating steps are involved: stabilization, carbonization, and graphitization of wet-spun fiber under tension and different atmospheres. Among them, the initial stabilization process is the most important, as it sets a further high-temperature tolerable structure and thus significantly influences the final mechanical properties of CFs. Therefore, many characterization techniques, including thermal, spectroscopic, scattering, and morphological analyses, have been used to understand complex chemical reactions and stabilized structures of PAN. Even nowadays, the stabilization process is not sufficiently understood due to the difficulty of characterization in solid products which are insoluble in solvents. Our group has recently improved spectral resolution and sensitivity in the solid-state NMR spectrum by combining 13C selective and multiple isotope labeling with state-of-the-art solid-state (ss) NMR techniques. In this dissertation, ssNMR spectroscopy combined with the 13C selective isotope labeling method is used to quantitatively analyze the chemical structures and reactions of PAN and polyacrylonitrile-co-itaconic acid (PAI) with 1mol% itaconic acid (IA) and PAI with 3mol% IA during the stabilization process. First, we investigate the spatial heterogeneity of the chemical reactions in PAN. It is found that both 13C direct polarization magic angle spinning NMR spectra and 1H spin-lattice relaxation time in the laboratory frame (T1H) of the stabilized 13C labeled aPAN films highly depend on the film thickness, which is attributed to different chemical reaction mechanisms at the surface and inner cores due to a limited oxygen diffusivity. For the first time, tunable T1H filtered 2D 13C–13C INADEQUATE NMR selectively observed either the well-stabilized aPAN at the surface or poorly st (open full item for complete abstract)

PHD, Kent State University, 2024, College of Arts and Sciences / Materials Science Graduate Program

Stimuli-responsive functional soft materials have been the focus of attention and been widely applied in advanced devices. Chiral nematic liquid crystals (also called cholesteric liquid crystals, CLCs), which possess intrinsic self-organized helical superstructures, are good candidates to create diffraction gratings (DGs) for optical devices, due to the characteristics of adjustable pitch under external stimuli like light, temperature, electric field, and so forth. Here, we develop two novel photoresponsive CLCs, which are enabled by adding two novel axially chiral molecular switches into the nematic LC host, respectively. Those chiral molecular switches exhibit superior compatibility, high helical twisting power (HTP), and a big HTP change under photoisomerization. Accordingly, electro- and photo-driven orthogonal switching of CLC diffraction gratings, and visible light, temperature, and electric field-driven in-plane rotation of CLC diffraction gratings are demonstrated, which exhibit great potential application in beam steering, spectrum scanning, and beyond. Like CLCs, twist-bend nematic liquid crystals (NTB LCs) also possess an intrinsic heliconical structure although the constituent molecules are achiral, but the molecular director is tilted with a cone angle around the conic helical axis and the heliconical pitch is very small. We study the structure and optical properties of NTB LCs when the chiral dopant is introduced. We show that adding chiral dopant does not induce a twisting of the heliconical axis, but increases the cone angle. Then, based on this fundamental study, we develop a novel thermally switchable smart window enabled by phase transition from NTB phase to chiral nematic phase. Such smart window is energy-saving and exhibits great potential in applications for buildings, vehicles, and beyond. Moreover, we develop a novel switching mechanism between planar and focal conic states in bistable reflective display. The CLC is switched from the foca (open full item for complete abstract)

Master of Science, Miami University, 0, Physics

In this thesis paper, we are going to discuss the galactic dynamics under the classical Newtonian model, MOND model, and MOND+EFE model. Because the effective range of gravity can reach infinity, the system of each DSPH galaxy will suffer from the external field effect. Under EFE, the dynamics of stars inside the DSPH galaxy will shift from MOND pattern to Newtonian pattern. So, in this thesis, we will compare dynamics of three DSPH galaxies under Newtonian, MOND, and MOND+EFE models. Moreover, I will compare the observational data from (Walker 2009) with simulated results. For the simulation, I will use the Plummer mass distribution model for the simulated DSPH galaxy. For computing the stellar dynamics inside the DSPH galaxy, we will use the Hermite Individual Time Step technique. For the Line of Sight dispersion, it is generated based on the statistics of simulated data. Comparing the simulated result with the observational result from (Walker 2009), we found that the observational result is a bit messy but it generally agrees with the MOND+EFE model if it is under correct mass-light ratio.

Master of Science (MS), Ohio University, 2024, Physics and Astronomy (Arts and Sciences)

Kagome materials are defined as such due to a similarity between their lattice structure and the Japanese basket weaving that features interlaced triangles. They have recently become a popular topic of condensed matter research because they have properties that may advance technologies a great deal and develop understandings of fundamental physics due to the presence of these interlaced triangles of atoms. These materials have potential in quantum computing and beyond. One potential application of kagome materials is in magnetoresistive random access memory, or MRAM, a technology that when paired with kagome materials, has potential to revolutionize devices due to it being a non-volatile memory with reduced energy usage as a result of the kagome materials, like Mn3Sn. To do this however, Mn3Sn needs reliable growth procedures that give precise control of the lattice's orientation, and ideally lend themselves to being made into heterostructures. In current work, we present a growth procedure of Mn3Sn on GaN (0001) that allows for control of the lattice orientation by changing only the growth temperature of the surface we are nucleating onto. The GaN films are first nucleated onto nitrided Al2O3 (0001) , then annealed. Mn3Sn is then deposited onto the GaN surface. The growths are done in an ultra-high vacuum environment using molecular beam epitaxy and monitored in-situ using reflection high-energy electron diffraction. The samples were then analyzed using x-ray diffraction to determine out-of-plane lattice parameters, confirm the material was successfully nucleated, and determine the orientations present in the sample. We observed in our experiments that the lower growth temperatures supported growth of majority single oriented films. Additionally, we were successful in growing a epitaxial film with majority c-plane Mn3Sn orientation at temperature 300 ◦C. The c-plane Mn3Sn films were observed to rotate on the GaN (000-1) which is explained in detail in this wor (open full item for complete abstract)

Master of Science (MS), Ohio University, 2024, Physics and Astronomy (Arts and Sciences)

∆E-E detector systems measure both the stopping power and kinetic energy of each particle that passes through them and are especially useful in measuring reactions with multiple possible ejectiles. These system are able to produce two-dimensional data which may be filtered more easily than that from a single detector in order to identify and isolate specific particles in a reaction and obtain more accurate measurements. A ∆E-E detector system was designed and assembled for use in the Left 15 Scattering chamber at Edwards Accelerator Laboratory to measure differential cross sections and study angular distribution. The system was used to determine cross sections of 12C(6Li,p)17O, 12C(10B,p)21Ne, and 27Al(10B,p)36Ar reactions at 12, 16, and 19 MeV respectively at varying angles. These experimental cross sections were compared to theoretical values found using simulated data from the code PACE4. Experimental values were found to be in a rough agreement with simulated values. This system will be able to provide accurate measurements for reactions with multiple ejectiles in future experiments at EAL.

Doctor of Philosophy (PhD), Ohio University, 2024, Physics and Astronomy (Arts and Sciences)

We present two topics relevant to the advancement of the field of Relativistic Heavy Ion collision physics: a novel technique development for calibrating a detector in sPHENIX and a physics analysis using PHENIX data with the goal of studying the possibility of jetquenching in so-called small collision systems. Calibrating the electromagnetic calorimeter (EMCal) of the sPHENIX experiment to the electromagnetic scale is an important task which will allow many important analyses to succeed. The established known mass of the π0 particle is utilized for development of a new technique to perform calibration of the sPHENIX EMCal. The sPHENIX experiment uses many different methods and particles to calibrate the detectors, which complement each other. This pi0-method is one of the methods that has been used to successfully calibrate the sPHENIX electromagnetic calorimeter to its electromagnetic scale in the first sPHENIX running period 2023. The second part of this work is about studying the possibility of production of quark-gluon plasma (QGP), a state of matter that is a regular occurrence in ultrarelativistic high-energy heavy-ion collisions at RHIC and LHC. However, the same cannot be definitively said for small collision systems. However, multiple recent research results have indicated the presence of QGP formation in small collision systems. We employ an analysis of two-particle jet correlations between pi0-h particles using PHENIX data to investigate whether a jet suppression signal using the new observable RI exists. Several small collision systems were investigated, including d+Au, 3He+Au, and primarily, peripheral centrality (65-70%) Au+Au collisions, which serve as proxies for small systems in terms of the number of nucleons involved during the collision. This study focuses on the latter. Our study aims to examine the Au+Au collision system with two different system sizes: one involving nearly central collisions where QGP formation is expecte (open full item for complete abstract)

Bachelor of Science (BS), Ohio University, 2024, Engineering Physics

The purpose of this thesis project is to develop capabilities at Ohio University to transfer two-dimensional material from traditional crystals to nontraditional substrates such as conductors and semi-conductors. To do so, improved and repeatable processes for exfoliation and placements of large quantities of chemical vapor deposition (CVD) grown materials must be developed. Methods were tested on various large area growth samples of MoS2, with a focus on using polydimethylsiloxane (PDMS) and polymethyl methacrylate (PMMA) as the transfer method due to its microscopic movement capabilities. Currently, the method that showed the most promise uses a thin layer of PMMA backed but a layer of supporting tape. However, this method lacks and the ability to select and then move only one flake at a time, which would enable device creation.

Master of Science, Miami University, 2024, Physics

In this thesis, we examine the storage of Laguerre-Gaussian (L-G) beams via Electromagnetically Induced Transparency in several alkali 87Rb vapor cells with diferent Ne bufer gas pressures. For comparison, we also examine storage of Gaussian beams, as well as impostor L-G beams made by inserting a dark dot into the center of a Gaussian beam. Our work has three main results. First, we measure storage times for an input Gaussian pulse as a function of bufer gas pressure, and fnd that the rate at which the retrieved pulse intensity diminishes increases with pressure, before seeming to saturate at high pressures. Second, we measure the spatial broadening of an input Gaussian pulse as a function of storage time for several diferent bufer gas pressures. We show that the broadening is caused by difusion, and extract values for the difusion constants that agree reasonably well with theoretical prediction. Third, we observe that the dark hole in the input pulse of the imposter L-G beam is destroyed (i.e., flls with light) during storage, although it survives for the highest bufer gas pressure. The dark vortex in the L-G beam is observed to survive during storage at all bufer gas pressures tested.

Doctor of Philosophy (Ph.D.), University of Dayton, 2024, Electro-Optics

This dissertation is a culmination of work in two areas in optics which have a commonality, viz., polarization. The first to be discussed pertains to phase retrieval technique that combines offaxis digital holography with transport of intensity. Two applications of this method are explored that are based on polarization of light. The first is 3D polarization imaging that helps to retrieve the polarization information of the object through simultaneous recording of holograms corresponding to the vertical and horizontal polarizations. This technique is especially useful in obtaining polarization signatures from birefringent objects and can monitor the stress induced birefringence in samples. The second application of polarization is in speckle noise in the extracted phase. In our work, different holograms are recorded by changing the linear polarization state of both the object and the reference beams. It is shown that this averaging method reduces the speckle noise in the reconstructed intensity images and more importantly, on the extracted phase as well, as verified through a suitably defined contrast parameter. While the first part of the reported work assumes CW Gaussian beams, albeit polarized, have both spatially and temporally stable structure, the second part concerns optical beams with varying structure in the spatio-temporal domain. These can be treated as an extension of optical vortex beams which contain a singularity at the beam center and carry longitudinal orbital angular momentum. Spatiotemporal optical vortices have singularity in the spatio-temporal domain and can carry transverse orbital angular momentum, and are typically generated using pulsed lasers. It is shown that a partially temporally coherent source can also produce these spatiotemporal optical vortices whose transverse orbital angular momentum can change during propagation through common optical elements.

Doctor of Philosophy (Ph.D.), University of Dayton, 2024, Electro-Optics

This dissertation explores advanced techniques in nanofabrication and super-resolution imaging, focusing on the use of laser-induced transfer methods and fiber-coupled photonic nanojet (PNJ). The research demonstrates both numerically and experimentally the potential of microsphere-fiber PNJ lenses in achieving super-resolution imaging. Key findings highlight the successful excitation and imaging of quantum dots, emphasizing the method's precision in locating single quantum dots and achieving high-resolution imaging. First, we introduce the mechanisms and applications of several laser-induced nanoparticle transfer techniques. The investigation highlighted the differences and advantages of methods such as laser ablation in liquid (LAL), laser-induced forward transfer (LIFT), and the novel opto-thermal mechanical (OTM) approach. Each method's unique benefits and limitations were examined, with a particular focus on the OTM method due to its simplicity, cost-effectiveness, and versatility in transferring various types of nanoparticles (NPs). The OTM method was demonstrated to efficiently transfer NPs from a soft substrate to a receiver substrate using a continuous wave (CW) laser, offering a low-cost alternative to more complex and expensive femtosecond laser systems. In Chapter 3, the study investigates the release probability of gold nanoparticles (AuNPs) from various substrates under CW laser illumination. The research reveals that plasma cleaning of the substrate, although common, reduces the release probability due to increased particle adhesion. Additionally, the study finds that the mechanical properties of the substrate significantly influence the release probability, with more flexible substrates facilitating easier release of NPs. These insights are crucial for optimizing nanoparticle transfer technology for various applications. Chapter 4 extends the investigation to the sorting of AuNPs from polymethyl methacrylate (PMMA) substrates. The (open full item for complete abstract)

Doctor of Philosophy (Ph.D.), University of Dayton, 2024, Electro-Optics

Spatiotemporal optical vortices (STOVs) are phase singularities that are temporally localized inside a wavepacket. Compared to optical vortices (OVs) inside monochromatic light beams propagating through space, the fourth dimension of time with STOVs enables unique propagation phenomena. When spatiotemporal tilted vortices are embedded in light with partial temporal coherence, random time-dependent tilt appears, although the average tilt angle does not change. When a STOV and an OV are combined in the same wavepacket, vortex reconnections occur dynamically with propagation. Reconnections between closed-loop spatiotemporal optical vortices can be modeled using conical dislocations in the frequency domain. Knotted spatiotemporal optical vortices unknot with propagation. Finally, STOVs and tilted STOVs precess with propagation under cylindrical focusing. This precession with propagation of a single vortex turns out to be a dynamic two-vortex reconnection when viewed from the full 3D propagation volume advancing over time-slices of the wavepacket.

Master of Science, Miami University, 2024, Physics

The Magnetic Heusler Weyl Semimetals Co2MnGa and Co2MnSi are topological materials with promising spintronic applications through the exploitation of their rich transport properties, such as the anomalous Hall and Nernst Effects. In this study, we performed a series of growths via radio-frequency (RF) magnetron sputtering onto MgO(001) substrates under systematically varied conditions of substrate temperature and sputtering power and conducted a series of measurements to ascertain trends in film composition, morphology, crystallographic characteristics, and demagnetized domain structure dependent upon these growth conditions. We combine degree of crystallinity computations with multi-material texture coefficient analyses to provide a complete picture of sample contents, including amorphous contribution and the proportions of each orientation of the crystalline portions. We reveal categorically distinct morphologies and crystalline growth preferences with varying sputtering power and temperature, including novel observation of Co2MnGa on MgO(001) of highly-textured (311) and (533) orientations with large flat grains and a complete absence of the (100) orientation when grown at 630 °C, 50 WRF. We also produce polycrystalline Co2MnSi when grown at 330 °C and confirm the presence of the L21 phase.

Master of Science, Miami University, 2024, Physics

Waveguide quantum electrodynamics, or wQED in short, has emerged as an exciting platform to explore strong light-matter interactions at the level of single photons and single atoms. The very nature of photons being guided and interacting with atoms residing at specific spots with respect to the waveguide modes offers exciting applications of the wQED platform to communicate and process quantum information over longer distances. With the advancement in optical fiber technologies and atom trapping techniques, it is now possible to experimentally test different theoretical proposals in this single setup. With this motivation, in this thesis, we have studied a few-photon transport, routing, localization, nonlinearity, and band structure in many-atom wQED in one-dimensional architectures and beyond. Our central focus throughout this thesis was to develop novel ways the different types of quantum interference effects can be used to control and engineer the transport of a few photons in this setup. Despite the availability of different theoretical tools to study many-body wQED, we have adopted the real-space formalism of quantum optics as our standard approach. On the application side, quantum networking and long-distance quantum communications are two areas in quantum information science that can find the results reported in this thesis helpful.

Master of Science, University of Akron, 0, Polymer Engineering

Soft Particle Glasses (SPGs) are jammed suspensions formed by packing soft and deformable particles above their random-close packing limit. These suspensions belong to a class of materials known as yield stress fluids, as they exhibit weak elastic solid-like properties at low strains and flow-like liquids at high strains above their yield stress limit. In these suspensions, the contact forces play a dominant role and are practically athermal. Due to the unique properties of these materials, they are widely used in industries as rheological modifiers in products like inks, pastes, drilling fluids, food products, and personal care products. These multifaceted practical applications make understanding the processing parameters, i.e., the rheological response and the dynamics of the system, of utmost importance. In our study, particle dynamic simulation is used to implement a 3-D simulation of SPGs, and a comprehensive analysis is made to understand the particles' motion and the changes in their microstructure under shear flow. These studies reveal that SPGs exhibit cage-like dynamics during motion, and the flow curve response for these materials is well-defined by the Herschel-Bulkley model. Our results indicate the presence of two distinct regimes, namely quasi-static and flow regimes. A constitutive equation is established between the macroscopic rheology and microscopic dynamics based on the constituent materials' intrinsic properties, like the compressibility of the particles and elastic modulus. A detailed analysis of the microscopic dynamics in the steady-state regime reveals the presence of heterogeneous flow in our suspensions. Analytical tools like the self-part of the van Hove function define the domain lengths of these heterogeneous flows. A qualitative analysis of these domains reveals that these heterogeneous flows exhibit localized dynamics at high shear rates and propagate as avalanches at low shear rates. Analysis of these mobile clusters quantifi (open full item for complete abstract)

Master of Science, Miami University, 2024, Physics

The magnetocaloric effect is a phenomenon by virtue of which magnetic materials undergo temperature change in external magnetic fields. Materials with substantial magnetocaloric effects have potential application in magnetic refrigeration, which is significantly more energy-efficient than conventional gas-based cooling methods. In this thesis research, the structural and magnetic properties of the multi-component intermetallic compound, Mn0.5Fe0.5Ni0.95Cr0.05Si0.95Al0.05 have been studied. Bulk, powdered, and polylactic acid (PLA) based composite filaments containing nominal (27, 54 and 57) wt% compositions of Mn0.5Fe0.5Ni0.95Cr0.05Si0.95Al0.05 powder have been synthesized and studied. The x-ray diffraction patterns confirmed that all samples exhibited the Ni2Intype hexagonal (space group P63/mmc) and the TiNiSi-type orthorhombic (space group Pnma) crystal structures at room temperature. A first order magnetic phase transition accompanied by thermal hysteresis was observed in all samples. A maximum entropy change of -42 J kg-1K-1 was observed around 322 K at 5 T magnetic field in the bulk sample with the refrigeration capacity (RC) of 194 J/kg. The experimental results for all samples are presented and discussed.

Master of Science, Miami University, 2024, Physics

Quantum entanglement – a strange correlation that can exist between quantum particles (irrespective of distance) where the measurement of the state of one particle instantaneously decides the state(s) of the other particle(s) has remained a central topic in the foundations of quantum mechanics since several decades. This phenomenon, which has no classical counterpart, has gained a renewed interest in recent decades when it was shown that entanglement can be used as an information resource in many quantum-enabled information technologies. This thesis focuses on studying the evolution of entanglement among quantum bits or qubits (building blocks in quantum information theory). In particular, under realistic conditions, we examine how different open quantum system models impact the dynamics and generation of entanglement when these qubits interact with their environment. To this end, using the machinery of quantum Langevin equations, input-output formalism, and master equations, we present a thorough analysis of free-space entanglement among qubits with vacuum-, Fock-, and thermal-state environments. Both entanglement dynamics and generation have been explored using a combination of analytic and numerical techniques.

Master of Science, Miami University, 2024, Physics

This thesis presents a first demonstration of the suppression of cross-coupling between transverse degrees of freedom in a two-dimensional cold atom ratchet. Under ideal conditions, motion along each transverse degree of freedom is unaffected by driving(s) along the other axes of the system. In the case of a two-dimensional cold atom ratchet, where environmental noise in the form of photon recoils plays a critical role in the directed propagation of atoms, two-dimensional motion is difficult to control or predict due to highly nonlinear coupling between the driving along one axis and the resulting motion along the other. Here, atomic ratcheting is induced via a harmonic mixing of AC driving forces which produce motion without imparting any net force upon the atoms. When driving along both axes, these drivings may interfere with one another to produce additional, unwanted frequency mixing effects. However, this coupling may be suppressed through the use of quasi-periodic driving, where the driving frequencies applied along each axis are made incommensurate (i.e. the ratio ωx/ωy is made irrational). In addition to the primary result above, this work also investigates resonant activation induced ratcheting and the resulting interplay between harmonic mixing and resonant activation.

Doctor of Philosophy, The Ohio State University, 2024, Physics

Hawking radiation sets stringent constraints on Primordial Black Holes (PBHs) as a dark matter candidate in the M ~ 10 16 g regime based on the evaporation products such as photons, electrons, and positrons. This motivates the need for rigorous modeling of the Hawking emission spectrum. Using semi-classical arguments, Page [Phys. Rev. D 16, 2402 (1977)] showed that the emission of electrons and positrons is altered due to the black hole acquiring an equal and opposite charge to the emitted particle. The Poisson fluctuations of emitted particles cause the charge Z|e| to random walk, but since acquisition of charge increases the probability of the black hole emitting another charged particle of the same sign as the charge of the black hole, the walk is biased toward Z=0, and P(Z) approaches an equilibrium probability distribution with finite variance < Z2>. This thesis explores how this ``stochastic charge'' phenomenon arises from quantum electrodynamics (QED) on a Schwarzschild spacetime. We prove that (except for a small Fermi blocking term) the semi-classical variance < Z2> agrees with the variance of a quantum operator < 𝒵2>, where 𝒵 may be thought of as an ``atomic number'' that includes the black hole as well as charge near it (weighted by a factor of 2M/r). In QED, the fluctuations in < 𝒵2> do not arise from the black hole itself (whose charge remains fixed), but rather as a collective effect in the Hawking-emitted particles mediated by the long-range electromagnetic interaction. The rms charge < Z2> 1/2 asymptotes to 3.44 at small PBH masses M≲2x1016g, declining to 2.42 at M=5.2x1017g. Our construction also identifies which terms in the full QED Hamiltonian give rise to the stochastic charge effect, so that we can avoid ``double counting'' as we work toward a full calculation of the corrections to Hawking radiation at order O(α), where α ≈ 1/137 is the fine structure constant. As a secondary topic, we explore if resonances, q (open full item for complete abstract)

Doctor of Philosophy, The Ohio State University, 2024, Electrical and Computer Engineering

We present an exposition on Koopman operator-based reduced-order modeling of high-dimensional electromagnetic (EM) systems exhibiting both linear and nonlinear dynamics. Since the emergence of the digital age, numerical methods have been pivotal in understanding physical phenomena through computer simulations. Computational electromagnetics (CEM) and computational plasma physics (CPP) are related yet distinct branches, each addressing complex linear and nonlinear electromagnetic phenomena. CEM primarily focuses on solving Maxwell's equations for intricate structures such as antennas, cavities, high-frequency circuits, waveguides, and scattering problems. In contrast, CPP aims to capturing the complex behavior of charged particles under electromagnetic fields. This work specifically focuses on the numerical simulation of electromagnetic cavities and particle-in-cell (PIC) kinetic plasma simulations. Studying electromagnetic field coupling inside metallic cavities is crucial for various applications, including electromagnetic interference (EMI), electromagnetic compatibility (EMC), shielded enclosures, cavity filters, and antennas. However, time-domain simulations can be computationally intensive and time-consuming, especially as the scale and complexity of the problem increase. Similarly, PIC simulations, which are extensively used for simulating kinetic plasmas in the design of high-power microwave devices, vacuum electronic devices, and in astrophysical studies, can be computationally demanding, especially when simulating thousands to millions of charged particles. Moreover, the nonlinear nature of the complex wave-particle interactions complicates the modeling task. Data-driven reduced-order models (ROMs), which have recently gained prominence due to advances in machine learning techniques and hardware capabilities, offer a practical approach for constructing "light" models from high-fidelity data. The Koopman operator-based data-driven ROM is a powerful met (open full item for complete abstract)

Doctor of Philosophy, The Ohio State University, 2024, Physics

This thesis is composed of two unrelated pieces of work: the first develops a semiclassical theory of transport in topological magnets, and the second presents a machine learning-based method of numerical analytic continuation. In Part I, we calculate the electric and thermal currents carried by electrons in the presence of general magnetic textures in three-dimensional crystals, including three-dimensional topological spin textures. We show, within a controlled, semiclassical approach that includes all phase space Berry curvatures, that the transverse electric, thermoelectric, and thermal Hall conductivities have two contributions in addition to the usual effect proportional to a magnetic field. These are an anomalous contribution governed by the momentum-space Berry curvature arising from the average magnetization, and a topological contribution determined by the real-space Berry curvature and proportional to the topological charge density, which is non-zero in skyrmion phases. This justifies the phenomenological analysis of transport signals employed in a wide range of materials as the sum of these three parts. We prove that the Wiedemann-Franz and Mott relations hold, even in the presence of topological spin textures, and justifying their use in analyzing the transport signals in these materials. This theory also predicts the existence of the in-plane anomalous and topological Hall effects in three-dimensional, low symmetry materials. We present a symmetry analysis which predicts when the in-plane Hall effect (IPHE) is forbidden, and predict which crystal structures could harbor an IPHE which is larger than the usual out-of-plane Hall effect. In Part II, we present a method of numerical analytic continuation of determinantal Quantum Monte Carlo (DQMC) Green's functions, utilizing an unsupervised neural network (NN). Many have used supervised machine learning methods to attack this problem, but the most interesting applications of DQMC are on systems in (open full item for complete abstract)