Publications and Preprints

3Selmer groups, ideal class groups and cube sum problem  Somnath Jha, Dipramit Majumdar, and Pratiksha Shingavekar (2022), under review.

Cube sum problem for integers having exactly two distinct prime factors  Dipramit Majumdar and Pratiksha Shingavekar, Proc. Indian Acad. Sci. Math. Sci. 133 (2023), no. 2, article no. 43, pp. 22 (journal version).

An analogue of Kida's formula for elliptic curves with additive reduction  Anwesh Ray and Pratiksha Shingavekar, The Ramanujan Journal (2024) (journal version).

Statistics for 3isogeny induced Selmer groups of elliptic curves  Pratiksha Shingavekar (2024), under review.

Rank distribution in cubic twist families of elliptic curves  Anwesh Ray and Pratiksha Shingavekar (2024), under review.

A positive density of elliptic curves are diophantine stable in certain Galois extensions  Anwesh Ray and Pratiksha Shingavekar (2024), under review.
Pratiksha Shingavekar
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 (20172023) 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

3Selmer groups, ideal class groups and cube sum problem  Elliptic curves and special values of Lfunctions at International Centre for Theoretical Sciences (ICTS), Aug 2022.

3Selmer groups, ideal class groups and cube sum problem  ChennaiTirupati intercity number theory conference at Chennai Mathematical Institute (CMI), Feb 2023.

3Selmer groups, ideal class groups and cube sum problem  Integers conference 2023 at University of Georgia Athens (UGA), May 2023.

3Selmer groups, ideal class groups and cube sum problem  35th Automorphic forms conference at Louisiana State University (LSU), May 2023.

3Selmer groups, ideal class groups and cube sum problem  A festival remembering Victor Snaith at University of Bristol (UoB), July 2023.

3Selmer groups, ideal class groups and cube sum problem  Number theory seminar at Institute of Mathematical Sciences (IMSc), Nov 2023.

A positive density of elliptic curves are diophantine stable in certain Galois extensions  The Mordell conjecture: 100 years later at Massachusetts Institute of Technology (MIT), July 2024.