Computing endomorphism rings of supersingular elliptic curves and connections to pathfinding in isogeny graphs

Computing the unit group, class group, and compact representations in algebraic function fields

Constructing Picard curves with complex multiplication using the Chinese Remainder Theorem

New Rank Records For Elliptic Curves Having Rational Torsion

The complex polynomials $P(x)$ with $\mathop{\rm Gal}(P(x)-t) \cong M_{23}$

Notes on motivic infinite loop space theory

Experiments with the transcendental Brauer-Manin obstruction

The nearest-colattice algorithm: time-approximation tradeoff for approx-CVP

Gauge theory and low-dimensional topology: progress and interaction