Yuta Hozumi
yhozumi3[at]gatech[dot]edu
School of Mathematics
Georgia Institute of Technology
686 Cherry St NW, 024
Atlanta, GA 30332
I am currently on the job market!
I am currently a Hale Visiting Assistant Professor at the School of Mathematics at Georgia Institute of Tecnology. I am working with Prof. Christine E. Heitsch on RNA secondary structure prediction. I obtained my Ph.D. from the Department of Mathematics at Michigan State University under the supervision of Prof. Guo-Wei Wei.
My methodological research focuses on the development of mathematical tools for analyzing genome data, including RNA molecules, proteins, single cell RNA sequencing, etc. In Single cell RNA sequencing, I develop dimensionality reduction methods for downstream analysis, such as trajectory analysis, cell-cell interaction and differential gene expression. In genomic analysis, I am integrating topological data analysis tools to analyze the shape of the DNA sequences. I have recently begin utilizing applied combinatorics to determine consensus secondary RNA structure from homologous RNA structures.
Research Interests
My interest lies in geometric data analysis, where I extract topological and geometrical features from complex biological dataset, such as noisy large gene-expression matrix, genomic sequence, and molecular structures. The goal is to extract interpretable (both in terms of mathematically and biologically), so that these complex data can be compared, giving insight to biological process, such as disease prognosis, predicting folding, and understanding viral evolution.
Recent/Upcoming Events
- I am giving a talk at the upcoming AMS southeastern sectional and SIAM Texas-Louisiana Sectional.
- I am giving a talk at the upcoming SIAM Mathematics of Data science
- Nicole Hayes (U. Mich) and I are organizing a special session at JMM 2027. We have a wide range of topic dealing with complex biological data and mathematical modeling.
- Excited to announce that my postoc mentor (Christine Heitsch), Svetlana Poznanovikj (Clemson) and I recently got our paper on RNA folding prediction accepted to Biophysical Journal.
Selected Publications
- UMAP-assisted K-means clustering of large-scale SARS-CoV-2 mutation datasetsComputers in biology and medicine 2021
- Ccp: Correlated clustering and projection for dimensionality reductionarXiv preprint arXiv:2206.04189 2022
- Preprocessing of single cell RNA sequencing data using correlated clustering and projectionJournal of chemical information and modeling 2023
- Analyzing single cell RNA sequencing with topological nonnegative matrix factorizationJournal of Computational and Applied Mathematics 2024
- Analyzing scRNA-seq data by CCP-assisted UMAP and t-SNEPLOS One 2024
- Revealing the Shape of Genome Space via-mer TopologySIAM Journal on Life Sciences 2026
- Energy-filtered branching alternatives improve RNA secondary structure recallBiophysical Journal 2026