Certifying Reality of Projections. - Jonathan D. Hauenstein; Avinash Kulkarni; Emre Can Sertöz; Samantha N. Sherman (ICMS, 2018)

Real Space Sextics and their Tritangents. - Avinash Kulkarni; Yue Ren; Mahsa Sayyary Namin; Bernd Sturmfels (ISSAC, 2018)

Tritangents and Their Space Sextics. - Türkü Özlüm Çelik; Avinash Kulkarni; Yue Ren; Mahsa Sayyary Namin (CoRR, 2018)

Solving p-adic polynomial systems via iterative eigenvector algorithms. - Avinash Kulkarni (CoRR, 2019)

Deep Learning Gauss-Manin Connections. - Kathryn Heal; Avinash Kulkarni; Emre Can Sertöz (CoRR, 2020)

Super-linear convergence in the p-adic QR-algorithm. - Avinash Kulkarni; Tristan Vaccon (CoRR, 2020)

p-Adic Integral Geometry. - Avinash Kulkarni; Antonio Lerario (SIAM J. Appl. Algebra Geom., 2021)

A census of cubic fourfolds over 𝔽₂. - Asher Auel; Avinash Kulkarni; Jack Petok; Jonah Weinbaum (Math. Comput., 2024)