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Publications and Preprints

  1. Somnath Jha, Dipramit Majumdar and Pratiksha Shingavekar, $\sqrt{-3}$-Selmer groups, ideal class groups and large 3-Selmer ranks, under review, (2025), 15 pages.

  2. Anwesh Ray and Pratiksha Shingavekar, Rank distribution in cubic twist families of elliptic curves, to appear, Acta Arithmetica (2025), 26 pages.

  3. Somnath Jha, Dipramit Majumdar and Pratiksha Shingavekar, 3-Selmer groups, ideal class groups and the cube sum problem, Journal of Number Theory, 277 (2025), 165-200. 

  4. Anwesh Ray and Pratiksha Shingavekar, A positive density of elliptic curves are diophantine stable in certain Galois extensions, under review, (2024), 23 pages.

  5. Pratiksha Shingavekar, Statistics for 3-isogeny induced Selmer groups of elliptic curves, Journal of Number Theory, 268 (2024), 72-94.

  6. Anwesh Ray and Pratiksha Shingavekar, ​An analogue of Kida's formula for elliptic curves with additive reduction, The Ramanujan Journal, 65 (2024), 857-883.

  7. Dipramit Majumdar and Pratiksha Shingavekar, Cube sum problem for integers having exactly two distinct prime factors, Proceedings - Mathematical Sciences, 133 (2023), no. 43.

I am a postdoctoral fellow at Chennai Mathematical Institute (Jan 2024 - present) working in number theory.

 

I earned my PhD from Indian Institute of Technology, Madras (2017-2023) under the joint supervision of Dr. Dipramit Majumdar and Dr. Somnath Jha.

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My research focuses on elliptic curves and related objects. Recently, I am also drawn towards some aspects of Machine Learning.

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Talks

  1. The Mordell conjecture: 100 years later at Massachusetts Institute of Technology (MIT), Jul 2024.

  2. Number theory seminar at Institute of Mathematical Sciences (IMSc), Nov 2023.

  3. A festival remembering Victor Snaith at University of Bristol (UoB), Jul 2023. 

  4. 35th Automorphic forms conference at Louisiana State University (LSU), May 2023. 

  5. Integers conference 2023 at University of Georgia Athens (UGA), May 2023. 

  6.  Chennai-Tirupati intercity number theory conference at Chennai Mathematical Institute (CMI), Feb 2023.

  7. Elliptic curves and special values of L-functions at International Centre for Theoretical Sciences (ICTS), Aug 2022. 

© 2021 by Pratiksha Shingavekar. All rights reserved.

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