Anna Song

This webpage summarizes my academic research. I am currently working as a Research Scientist at Owkin to advance our understanding of biology for precision medicine and contribute to cutting-edge AI methodologies.

If you are interested in my past research, please feel free to contact me, I will be happy to discuss science with you. 

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I have just finished a 4-year-long PhD (2019-2023) at the Department of Mathematics of Imperial College London and in the Haematopoietic Stem Cell Laboratory at the Francis Crick Institute, under the joint supervision of Dominique Bonnet and Anthea Monod.

I work at the interface between mathematics and biology, having a keen interest in the connections between abstract ideas and real life phenomena, especially anything related to shapes, colors, and patterns in data. These beautiful connections are sometimes surprisingly relevant, despite their simplicity.

My research fields include mathematical modeling, geometry, topology, and imaging; here, programming is essential to applying abstract models on real data. 

You can have a look at the curvatubes model, which offers a com pact geometric description of shapes with patterns, such as vascular networks or porous materials. To quantify such shapes, I propose to use signed distance persistent homology or SDPH, and to generalize Morse theory to distance functions in order to interpret the SDPH persistence diagrams. You can also see here how topological data analysis can help to identify significant cycles and patterns in point cloud data.