Elliptic Curves and Mordell's Theorem (PDF)
Presentation slides prepared for a 15-minute presentation at the end of my directed reading on [ST15].
Notes
Here is a collection of informal writings, notes, and presentations I have created. Please note that these may contain errors or inaccuracies.
2025
Embedding Schur Product into Prime-Field Multiplication (PDF)
Presentation given for the SURF program during Summer 2025, covering one of the problems I worked on with Prof. Maji.
Dirichlet's Theorem on Primes in Arithmetic Progression · download (PDF)
Presentation notes prepared for a 15-minute presentation at the end of my directed reading from [MV06, Apo76]; the talk itself was given on a blackboard.
Fast Laplacian Solvers (PDF)
Short presentation delivered on Laplacian Solvers for my undergraduate algorithms class, taught by Prof. Kent Quanrud.
References
- [ST15]Silverman, J.H. and Tate, J.T. (2015) Rational Points on Elliptic Curves. 2nd ed. 2015. Cham: Springer (Undergraduate Texts in Mathematics). Available at: https://doi.org/10.1007/978-3-319-18588-0.↩︎
- [MV06]Montgomery, H.L. and Vaughan, R.C. (2006) Multiplicative Number Theory I: Classical Theory. 1st ed. Cambridge University Press. Available at: https://doi.org/10.1017/CBO9780511618314.↩︎
- [Apo76]Apostol, T.M. (1976) Introduction to Analytic Number Theory. Edited by S. Axler, F.W. Gehring, and K.A. Ribet. New York, NY: Springer New York (Undergraduate Texts in Mathematics). Available at: https://doi.org/10.1007/978-1-4757-5579-4.↩︎