Kathleen Hamilton Email & Phone Number

Riverside, Ca

Member of Leonid Pryadko's research group in the Department of Physics Developing models of random graph percolation: establishing algebraic bounds on the percolation threshold using the non-backtracking spectrum of a graph and incorporating weighted and correlated random processes. Applications include quantum error correction and fault tolerance. - Supporting algebraic analysis with numerical simulations of directed graphs of > 10,000 nodes.- Written and debugged Python code utilizing libraries NetworkX, Numpy/Scipy and Pandas to simulate random percolation process and search for, count and analyze connected components - Written code for Mathematica for symbolic calculation of spectral radius of large sparse matrices

Riverside, Ca

Member of Leonid Pryadko's research group in the Department of Physics Multi-faceted studies of correlated systems: dynamical effects induced by strong external driving fields and the effects of correlations on percolation and random graph processes. DYNAMICS STUDIES:- Written and debugged code in C, Python and Mathematica for numerically solving coupled, nonlinear differential equations- Results for semi-classical model established driving field parameters for dynamic stabilization of solitonic waveform- Results for strongly driven tight-binding model established parameters for dynamic suppression of band gap and subsequent dynamical delocalization of electrons- Results for quantum nanowire established parameters for possible frequency multiplication in Thz driving fields in the presence of phonon scatteringPERCOLATION STUDIES:- Analyzed correlated percolation by extending models of continuum percolation to discrete systems- Established tight lower bounds on quasi-random graph percolation by developing an algebraic model which incorporated Bethe lattice approach and universal graph covers

Durham, Nh

Member of James M. E. Harper's research group in the Department of PhysicsWorked on an interdisciplinary project that designed and built automated apparatus for the detection of directional fluorescence emission. Responsibilities included determining appropriate growth parameters and materials for thin film stacks incorporating an adhesion layer, passivation layer, required to adhere and protect a 50nm thick silver film to be used in directed fluorescence generation without damping or diminishing fluorescence signal.- Designed, machined and wired electronics for desktop apparatus to generate and measure directional fluorescence- Wrote programs in LabVIEW which integrated computer control of stepper motor with collection of fluorescence signal

Durham, Nh

Summer research member in Charles W. Smith III's research group at the Institute for the Study of Earth, Oceans and Space.Summer research position working with Professor Charles Smith studying the energy dissipation of coronal mass ejections (CME) at 1 AU. Responsible for identifying possible CME events using data from the Advanced Composition Explorer. - Built a extensive dataset of over 300 significant events in the solar wind culled from over 900 measured intervals

Doctor Of Philosophy (Phd), Condensed Matter And Materials Physics

Developed mathematical and numerical models describing electron transport in Thz driven systems, focused on photonics. Skills: Analysis.

Master Of Science (Ms), Physics

Research culminated in Masters thesis "Generation and Measurement of Surface Plasmon Coupled Emission." Skills: LabVIEW programming.

Bachelor Of Science (B.S.), Physics

Graduated with a B.S. in Physics. Summer research experience included writing C programs for analytical chemistry simulations at Virginia.