Avinash (Avi) Kulkarni

I am currently a postdoc at the Max Planck Institute for Mathematics in the Sciences located in Leipzig, Germany.

akulkarn at sfu dot ca

CV

Publications

[1] A. Kulkarni. An arithmetic invariant theory of curves from E8, 2017. [ http ]
[2] A. Kulkarni, N. Mavraki, and M. Nguyen. Algebraic approximations to linear combinations of powers: an extension of results by Mahler and Corvaja-Zannier. 2017. accepted to Trans. Amer. Math. Soc., 2017. [ http ]
[3] A. Kulkarni, G. Maxedon, and Yeats K. Some results on an algebro-geometric condition on graphs. Journal of the Australian Mathematical Society, 104(2):218–254, 2018. [ DOI ]
[4] Avinash Kulkarni. An explicit family of cubic number fields with large 2-rank of the class group. Acta Arith., 182(2):117--132, 2018. [ DOI | http ]
[5] Avinash Kulkarni, Yue Ren, Mahsa Sayyary Namin, and Bernd Sturmfels. Real space sextics and their tritangents. accepted to ISSAC 2018. [ http ]
[6] Jonathan Hauenstein, Avinash Kulkarni, Samantha Sherman, and Emre Serötz. Certifying reality of projections. accepted to ICMS 2018. [ http ]
[7] Turku Ozlum Celik, Avinash Kulkarni, Yue Ren, and Mahsa Sayyary Namin. Tritangents and their space sextics. Submitted. [ http ]

Thesis

A. Kulkarni, On Jacobians of dimension 2g that decompose into Jacobians of dimension g. M. Sc. thesis (2014). [ http ]
A. Kulkarni, Aspects of the arithmetic of uniquely trigonal genus 4 curves: arithmetic invariant theory and class groups of cubic number fields. Ph. D. thesis
(defended November 2018, final revisions in progress).

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