Hello all, my name is Simon and I am currently a postgraduate student in Computer Science at the University of Cambridge.
As a GSoC 2021 project, I would be interested in extending SageMath's implementation of Jacobians of hyperelliptic curves. In particular, I'd like to add point counting methods over finite fields (relevant paper <https://hal.inria.fr/inria-00512403/document>) and implement the Weil pairing (and possibly additional pairings) on hyperelliptic curves (relevant paper <http://cacr.uwaterloo.ca/techreports/2009/cacr2009-30.pdf>). Note that SageMath already supports those over elliptic curves, but currently lacks support for hyperelliptic curves. In contrast, Magma already includes those methods (see Magma documentation here <https://magma.maths.usyd.edu.au/magma/handbook/text/1557>), so I think it would be a great addition if this functionality is also supported by SageMath. If anybody can imagine being a mentor for this project please get in touch with me so we can discuss this project a bit further. Likewise, if you have any other questions do not hesitate to contact me. Best regards, Simon -- You received this message because you are subscribed to the Google Groups "sage-gsoc" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-gsoc/046c240b-2800-4f1e-baa2-5f8d40d62426n%40googlegroups.com.
