My Research
PhD research:
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The theory of modulus of curve families in the plane originally introduced by Beurling and Ahlfors to solve famous open questions in function theory, has been extended over the years to families of curves in R^n and to abstract metric spaces as well.
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The concept of p-modulus gives a way to measure the richness of a family of objects on a graph. We investigate the families of connecting walks between two fixed nodes and show how to use p-modulus to form a parameterized family of graph metrics that generalize several well-known and widely-used metrics such as the reciprocal of mincut, effective resistance and shortest path.
Postdoctoral research:
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As a postdoctoral researcher, I have been working in projects related to machine learning. Currently, I am working on 2 projects that use state-of-the-art machine learning pipelines to solve classification and regression problems. I am interested in neuronal networks and metrics on such networks.
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I use python as my main coding language but I also work with Matlab and R.
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A preprint of my first project should be published on the website soon. I am also planning to attend SIAM central states and TEXLA conferences to present my current research.
Research Publications
Click on the links to view the papers.
Blocking duality for p-modulus on networks and applications, with Nathan Albin, Jason Clemens, and Pietro Poggi-Corradini.
Modulus metrics on networks, with Nathan Albin and Pietro Poggi-Corradini.