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math.AG2023
Positroids, Dressian and stable polynomials
Ayush Kumar Tewari
Our work is motivated by the connection established between Lorentzian polynomials and the Dressian in the seminal work of Brändén and Huh on Lorentzian polynomials. We analyze thi…
math.CO2023
Lattice path matroidal subdivisions, Positive Tropical Grassmannian and Amplituhedron
Ayush Kumar Tewari, Ahmed Umer Ashraf
We introduce the notion of lattice path matroidal subdivisions, or LPM subdivisions for short, and show that these subdivisions are regular and hence the weight vectors for them li…