Learn about the research done by some of your fellow students. In the final part of this series, we will feature a mix of students who did research on and off campus this summer.
Phillip Diamond worked this summer with Benjamin Schumacher of the Physics Department on his research titled "'No-Hiding’ Theorem in Modal Quantum Theory." Over the summer he researched “no-go theorems,” or statements of fundamental impossibilities in quantum physics, in a toy theory called Modal Quantum Theory. In particular, Phillip investigated the “no-hiding” theorem, which asserts the impossibility of perfect encryption of a quantum state. In the end, he discovered a surprising connection between irreducible quadratic equations and whether a state is "hide-able" or not!
Malcolm Gaynor worked with Zhu Wang of the University of South Carolina this summer for his research titled "Dimensionality Reduction in the Parameter Space (by the Active Subspace and Nonlinear Level Set Learning Techniques." The "Curse of Dimensionality" refers to the problem faced when modeling the output of functions with many parameters in a large dimension. When the dimension of a function increases, the computational costs associated with modeling this function's output increase exponentially. Thus, the active subspace method and the nonlinear level set learning technique will employ linear algebra and neural networks respectively to decrease this computational cost.
Finally, Jose Nino worked with the Federal Reserve Board of Governors for his research titled “Analysis of Nonfinancial Firms and Risk Appetite." At the Federal Reserve Board of Governors, Jose worked mainly with Christine Dobridge, senior economist in the Capital Markets section in the Research and Statistics division. Over the summer, he worked on analyzing nonfinancial firm dynamics in the economy by creating visualizations and summary statistics using R. He mainly worked on creating time series graphs showing how nonfinancial firms' perceived risk appetite has changed over time using a new leverage measure.
To hear more about these exciting research projects, join us on Monday, October 24, from 3:10 to 4 p.m. in Hayes 109. We hope to see you there!