Publications (35)
Computing Canonical Heights on Elliptic Curves in Quasi-Linear Time
J. Steffen Müller, Michael Stoll
Explicit n-descent on elliptic curves. III. Algorithms
John Cremona, Tom Fisher, Cathy O'Neil +2
How to Solve a Diophantine Equation
Michael Stoll
On the average number of rational points on curves of genus 2
Michael Stoll
Explicit n-descent on elliptic curves, II. Geometry
John Cremona, Tom Fisher, Cathy O'Neil +2
Generalized explicit descent and its application to curves of genus 3
Nils Bruin, Bjorn Poonen, Michael Stoll
Magnetic trapping of buffer-gas cooled chromium atoms and prospects for the extension to paramagnetic molecules
Joost M. Bakker, Michael Stoll, Dennis R. Weise +3
Finite descent obstructions and rational points on curves
Michael Stoll
The yoga of the Cassels-Tate pairing
Tom Fisher, Edward F. Schaefer, Michael Stoll
Explicit Selmer groups for cyclic covers of P^1
Michael Stoll, Ronald van Luijk
Rational points on curves
Michael Stoll
Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves
John Cremona, Tom Fisher, Michael Stoll
On a problem of Hajdu and Tengely
Samir Siksek, Michael Stoll
Most odd degree hyperelliptic curves have only one rational point
Bjorn Poonen, Michael Stoll
Twists of X(7) and primitive solutions to x^2+y^3=z^7
Bjorn Poonen, Edward F. Schaefer, Michael Stoll
Descent on elliptic curves
Michael Stoll
Two-cover descent on hyperelliptic curves
Nils Bruin, Michael Stoll
Explicit n-descent on elliptic curves, I. Algebra
John Cremona, Tom Fisher, Cathy O'Neil +2
Stability of peak solutions of a non-linear transport equation on the circle
Edith Geigant, Michael Stoll
Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank
Michael Stoll
Reduction theory of point clusters in projective space
Michael Stoll
On the Number of Rational Iterated Pre-images of the Origin Under Quadratic Dynamical Systems
Xander Faber, Benjamin Hutz, Michael Stoll
Deciding existence of rational points on curves: an experiment
Nils Bruin, Michael Stoll
The Mordell-Weil sieve: Proving non-existence of rational points on curves
Nils Bruin, Michael Stoll
Irreducibility of polynomials with a large gap
William Sawin, Mark Shusterman, Michael Stoll
The generalized Fermat equation with exponents 2, 3, n
Nuno Freitas, Bartosz Naskrecki, Michael Stoll
The Cassels-Tate pairing on polarized abelian varieties
Bjorn Poonen, Michael Stoll
The Generalised Fermat Equation x^2 + y^3 = z^15
Samir Siksek, Michael Stoll
Quadratic rational functions with a rational periodic critical point of period 3
Solomon Vishkautsan, Michael Stoll
An Introduction to Conway's Games and Numbers
Dierk Schleicher, Michael Stoll
Independence of rational points on twists of a given curve
Michael Stoll
On the number of rational squares at fixed distance from a fifth power
Michael Stoll
Partial Descent on Hyperelliptic Curves and the Generalized Fermat Equation x^3+y^4+z^5=0
Samir Siksek, Michael Stoll
Rational 6-cycles under iteration of quadratic polynomials
Michael Stoll
Canonical Heights on Genus Two Jacobians
J. Steffen Müller, Michael Stoll