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Dr CHRISTIAN WUTHRICH's Outputs (3)

Numerical modular symbols for elliptic curves (2017)
Journal Article
Wuthrich, C. (2018). Numerical modular symbols for elliptic curves. Mathematics of Computation, 87(313), 2393-2423. https://doi.org/10.1090/mcom/3274

We present a detailed analysis of how to implement the computation of modular symbols for a given elliptic curve by using numerical approximations. This method turns out to be more effcient than current implementations as the conductor of the curve i... Read More about Numerical modular symbols for elliptic curves.

A moduli interpretation for the non-split Cartan modular curve (2017)
Journal Article
Rebolledo, M., & Wuthrich, C. (2018). A moduli interpretation for the non-split Cartan modular curve. Glasgow Mathematical Journal, 60(2), https://doi.org/10.1017/S0017089517000180

Modular curves like X0(N) and X1(N) appear very frequently in arithmetic geometry. While their complex points are obtained as a quotient of the upper half plane by some subgroups of SL2(Z), they allow for a more arithmetic description as a solution t... Read More about A moduli interpretation for the non-split Cartan modular curve.