Barinder Singh Banwait

About me

Hello! Thanks for visiting!

I'm a postdoctoral fellow in Number Theory at the Interdisziplinäres Zentrum für wissenschaftliches Rechnen at Ruprecht-Karls-Universität Heidelberg in Germany.

I spend much of my time these days thinking about Galois representations associated to elliptic curves and modular newforms, and how to compute them in Sage. See my list of publications for more on my mathematical interests.

I've also recently been contributing code and data to the L-functions and modular forms database. See my Github for this and various other mathematical coding projects I've been involved in.

I can also be found hanging-out on Mathoverflow:

Papers and preprints

1. Explicit isogenies of prime degree over quadratic fields. preprint arxiv:2101.02673 , submitted. 2021
2. Examples of abelian surfaces failing the local-global principle for isogenies. Research in Number Theory, 7(55) 2021.
3. Del-pezzo surfaces over finite fields and their Frobenius traces, with Francesc Fité and Daniel Loughran. Mathematical Proceedings of the Cambridge Philosophical Society, 167(1), 35-60. 2019
4. Tetrahedral elliptic curves and the local-global principle for isogenies, with John Cremona. Algebra and Number Theory, 8(5), 1201-1229. 2014

• On some Local to Global Phenomena for Abelian Varieties. PhD Thesis, University of Warwick, 2013.

In preparation

• Computing non-surjective primes associated to Galois representations of genus 2 curves, with A. Brumer, H. J. Kim, Z. Klagsbrun, J. Mayle, P. Srinivasan and I. Vogt.
• Cyclic Isogeny degrees over quadratic fields, with O. Adascalitei and F. Najman.
• Explicit isogenies of prime degree over number fields, with M. Derickx.
• Sign changes in Fourier coefficients of Bianchi modular forms, with K. Krishnarjun.

Contact

Email address: barinder.s.banwait - the AT symbol - gmail.com

My PGP public key.

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