I am currently a postdoc at the Max Planck Institute for Mathematics in the Sciences located in Leipzig, Germany.
akulkarn at sfu dot caPublications
[1] | A. Kulkarni. An arithmetic invariant theory of curves from E_{8}, 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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