Charlie Reid
In string theory we are interested in the set of world sheets swept out by strings moving through spacetime that satisfy certain equations of motion. This set, called a moduli space, is mysterious and complicated but it possess a lot of structure that is not apparent at first glance. I study this moduli space using a mathematical tool called K-theory which leads to studying an infinite dimensional cone in a space of rational functions. This cone is invariant under certain rotations of the space of rational functions. I study arbitrary […]
Vivek Narayan
Within the last decade, research on the microbiota has begun to shed light on the immense contribution of gut microbes to host health, metabolism, immunity, and reproduction. Even more recently, studies have identified systems in which animals that are exposed to a toxin have acquired gut bacteria that confer resistance to the animal host. I am particularly interested in ammonia, a chemical that is toxic in high concentrations to most animals. All life on earth requires nitrogen, yet the multi-step nitrogen cycle relies primarily on bacteria to carry out steps […]
Ann Deng
In recent years, our view of the lysosome has changed from the cells recycle bin to a sophisticated metabolic signaling center. The lysosome is the site of recruitment and activation of the mammalian Target of Rapamycin Complex 1 (mTORC1), a master regulator of cell growth and metabolism. The surfaces of lysosomes harbor many different chemical sensors that communicate with mTORC1, but how these different stimuli are integrated and translated into mTORC1-regulating signals is still poorly understood. As there has been increasing evidence that the facilitation of protein scaffold formation by […]
Brian Stone
In solid-state physics, the theory of electronic band structures successfully explains many physical properties of solids. Band structures, which describe the range of allowed energies of an electron in a solid, form the foundation of our understanding of solid-state devices, such as transistors and solar cells. I plan to develop, modify, and utilize computational tools that use band structures to analyze the electronic behavior of solids. More specifically, I will be using and modifying open-source materials analysis tools, such as pymatgen (Python Materials Genomics), to calculate and analyze band structures […]
Alexander Frenkel
Symmetry is a very important and beautiful tool in physics. From every symmetry in a physical system, one can derive a conserved quantity. However, when one attempts to study various quantum systems with interesting and useful symmetries compatible with Einstein’s Special Theory of Relativity, one finds that some of them fall apart and create divergences at high energies. One method of resolving this problem is to work in a hypothetical space-time where Lorentz symmetry doesn’t have to hold at high energies. This gives us more freedom in building the theory, […]
Maria Ji
Vocal learning is the ability to produce vocalizations using auditory feedback to guide learning. Vocal learning has been explored extensively in songbirds and humans, but never within a tractable mammalian model species. By using two approaches, mapping vocal motor pathways and identifying auditory networks, I aim to investigate the neural circuitry of vocal learning in Egyptian fruit bats (Rousettus aegyptiacus). From a systems neuroscience perspective, my research will reveal mammalian neuroanatomical underpinnings and build the foundations for a mammalian model system of vocal learning. My findings will elucidate the mechanisms […]
Kristy Dang
Practice is an important process for anyone attempting to learn a new skill. Repeatedly performing the skill has been proven to lead to better learning . However, how should people organize their practice schedule if they want to learn multiple skills simultaneously? Is it more optimal to master each skill separately or all at once in a random order? There are multiple former experiments that show a random-ordered practice schedule actually leads to better retention than a blocked one. However, these studies typically use explicit motor tasks that require working […]
Dalila Robledo
According to the Standard Model, all baryonic matter is predicted to have a corresponding antiparticle. From this premise, we currently dont understand why we observe more matter than antimatter, making the study of antimatter a fascinating subject. My research project is with the ALPHA experiment at CERN, which produces antihydrogen. Composed of an antiproton and a positron bind together, antihydrogen is the matter counterpart of hydrogen. Because of its neutrality and correspondence with the hydrogen atom, it is a desirable system for experimental study. My summer project involves numerical simulations […]
Yu Ma
Matrix multiplication is one of the most foundational mathematical operations. Understanding this operation is a sophisticated mathematical question, which has been the subject of extensive research over the years. There is huge incentive to improve the speed of matrix multiplication as well as understand the inherent bounds on its complexity. The rich theory of algebraic computational complexity aims to study the complexity of objects with an intrinsic mathematical structure. In particular, for each n, matrix multiplication of two nxn matrices can be expressed as a bilinear map, which corresponds to […]
Haley Keglovits
Learning is paramount to human success, but the complex processes that underlie it are poorly understood. While cognitive models adequately explain some learning mechanisms, much remains to be discovered about the interactions between different mechanisms. Reinforcement learning (RL) is a slow and robust process that relies on external rewards to guide behavior. Working memory (WM) is a system that can retain recently acquired information for short periods of time. While previous research has demonstrated that both systems contribute to learning, the two mechanisms have rarely been studied together. In this […]