Welcome to my website!

I received my PhD in mathematics from Syracuse University
Most recently, I joined City of Hope as a data scientist with a research fellowship.
City of Hope is a cancer research hospital located in Duarte, California.
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Summary of my work:


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Data Science Research

Patient-similarity project (manuscript pending)

I used machine learning tools to better understand breast cancer genomic clusters. Specifically, I conducted research identifying patient features that highly correlated with breast cancer genomic clusters. I found that t-staging, and m-staging (as in tnm-staging) are correlated with genomic clustering.

I used SQL to pull and prepare data from several tables in Poseidon in the DNAnexus (AWS) environment. I engineered new features from the available data including features like age of onset of breast cancer. I gained key insights using various data visualizations, including violin plots, t-sne visualizations, raincloud plots, and histograms. I used permutation method to find p-values. I also used the Kneedle algorithm to find concavity of the clusters.

Math Research

The Splitting Theorem and Topology of Noncompact Spaces with Nonnegative N-Bakry Émery Ricci Curvature

Abstract: In this paper, we generalize topological results known for noncompact manifolds with nonnegative Ricci curvature to spaces with nonnegative N-Bakry Émery Ricci curvature. We study the Splitting Theorem and a property called the geodesic loops to infinity property in relation to spaces with nonnegative N-Bakry Émery Ricci Curvature. In addition, we show that if M^n is a complete, noncompact Riemannian manifold with nonnegative N-Bakry Émery Ricci curvature where N>n, then Hn-1(M,Z) is 0

Locally Homogeneous Non-gradient Quasi-Einstein 3-Manifolds

Abstract: In this paper, we classify the compact locally homogeneous non-gradient m-quasi Einstein 3-manifolds. Along the way, we prove that given a compact quotient of a Lie group of any dimension that is m-quasi Einstein, the potential vector field X must be left invariant and Killing. We also classify the nontrivial m-quasi Einstein metrics that are a compact quotient of be the product of two Einstein metrics. We also show that S^1 is the only compact manifold of any dimension which admits a metric which is nontrivially m-quasi Einstein and Einstein.

Examples of my research presentations


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DATA SCIENCE

MATH

MATH

This is Blanche



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