## Emily Zhao

Understanding the genetic basis of organ regeneration remains a central challenge in the field of developmental biology. Teeth are a classic model for organogenesis, since many homologous ectodermal organs (e.g., teeth and hair) follow similar patterns of development and regeneration. Threespine stickleback fish are a powerful model organism for studying tooth regeneration in vertebrates because they possess the ancestral dental phenotype of polyphyodonty, in which teeth are continuously replaced throughout adult life. Past research has shown that Foxc1 regulates Bmp6, a gene important for viability, growth, and tooth patterning […]

## Xiaozhou Zhang

The perception of a stimulus is strongly influenced by the background surrounding it. In mammals, this figure-ground perception to identify stimuli from the environment is crucial for survival, such as detecting predators. My project aims to explore the neural mechanisms behind figure-ground perception, especially focusing on the role of vasointestinal peptide positive (VIP) and somatostatin (SOM) interneurons in the primary visual cortex (V1). To explore the mechanism, I will first develop a novel mice behavioral task that can accurately quantify figure-ground modulation. Then, I will use optogenetics to activate or […]

## Emilie Tu

Contactin-associated protein-like 2 (CNTNAP2) mutations are strongly associated with autism spectrum disorder, which presents with repetitive behaviors. Research has shown that mice lacking CNTNAP2 exhibit decreased numbers of GABAergic interneurons throughout the brain, and that the number and function of these interneurons in the striatum are associated with the presentation of repetitive behaviors. Recent work has shown that enriched environment rearing restores GABAergic interneuron numbers in the striatum and rescues behavioral deficits in rodent models of neuropsychiatric disorders. I will be looking at how different rearing conditions affect striatal gene […]

## Daniel Rostamloo

Algebraic geometry is a rich area of mathematics that investigates the properties of geometric objects (like a variety the solution set of a system of polynomial equations) using their underlying algebraic structure. The closely related field of homological algebra studies how mappings between algebraic spaces (e.g., collections of polynomials) can be understood in terms of more concrete representations with tools from topology and algebra combined to understand the geometric structure of varieties. One homological invariant is a table of numbers called the Betti table, which captures nuanced geometric information about […]

## Jessica Stewart

My research focuses on a kinase in the MAPK/ERK pathway called BRAF, which is commonly mutated in cancer. This summer, I will isolate BRAF endogenously from 293FT cells and analyze their structure by native mass spectrometry and cryo-electron microscopy. This strategy differs from most conventional approaches, as I will not overexpress the protein. Rather, I aim to study BRAF isolated from its native stoichiometric environment, circumventing assumptions that must be made with overexpression. With this strategy, I seek to learn about BRAFs activation and native binding interactions. This knowledge could […]

## Amy Wu

This research project examines the rich history and future of midwives of color in the Bay Area through the novel implementation of Science, Technology and Society (STS) frameworks. By defining the midwifery model of care conceived by Bay Area midwives of color as a complex sociotechnical system, the process by which midwives of color have created their models of care can be explored at the intersection of the nation’s capitalistic healthcare system, historic attempts to destroy the knowledge produced by grand midwives in the antebellum period and broader African diaspora, […]

## Divij Sharma

Strong gravitational lenses (deflection of light into multiple images by gravitational field of mass concentrations like galaxies) have been used as cosmological probes. These techniques involve ratios of distances between the observers, lens, and source. DSPL systems involve two sources lensed by the same foreground mass concentration. They provide a unique cosmological geometric probe through distance ratios involving the source and lens. Cosmic acceleration has been described using a form of energy called dark energy. Previous work by my advisor has shown that the DSPL key distance ratio is nearly […]

## Alexander Richardson

Geometric flows, such as the Ricci flow, Yang-Mills flow, and harmonic map flow, are natural ways to smooth out geometric objects (metric, connection and maps, respectively). In this research project, we will explore the idea of using geometric flows to develop new analytic tools for studying geometric objects. A possible goal of this project is to use geometric flows to solve problems in dispersive PDEs that involve geometric objects.

## Tannya Tang

In arthropods and vertebrates, Hox genes determine how an organism develops along the axis running from its head to its tail. Little is known of Hox function outside of these standard animal models, but studies in annelids (segmented worms) suggest that Hox genes not only play a conserved role in embryonic patterning, but are also deployed in ways specific to annelids. For example, hox3 is expressed around the posterior growth zone (PGZ), from which all new segments arise. I hypothesize that hox3 is a stem cell marker in annelids that […]

## Alexander Toller

Suppose that we have a (finite or infinite) series of independent, identically distributed real-valued random variables (increments of time). From this series, we can form a random walk. We can consider the partial sums of this series and analyze the average value of the walk the partial sum divided by the number of increments up to that point at each of its time increments. This project is focused on studying the distribution of the maximum average value of a random walk through a variety of computational algorithms. While there already […]