Research

I am interested in a wide range of questions, both mathematical and biological.

For a complete list of publications, see my Google Scholar.

Mathematical interests

Growing systems and extremal statistics

My research in this area includes:

• Branching processes. These are models of population growth where individuals do not interact and have applications in population biology, but also in machine learning and statistical physics.
• Extremal statistics and large deviation theory. Extremal statistics concerns the study of maxima, minima and order statistics of random variables, while large deviations are exponentially rare events.
• Mathematics of machine learning. I'm studying multiple instance learning problems...

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Biological interests

In biology, I am interested in single-cell physiology, including:

• Size homeostasis — how do cells regulate their size? Do large cells slow down their growth rate, or do they accelerate their generation time?
• Gene expression under antibiotic stress, especially how patterns of gene expression change under stress.
• Inference of extreme events in cell populations. When can we predict population dynamics from single-cell data?