7 citations · 8 across the 7 of their papers we have counts for
7 papers
The crisis of AI-generated mathematics
Max Weinreich
In this essay, I present the case for total opposition to the use of artificial intelligence in mathematics. I offer proposals for how individuals, departments, journals, and insti…
The dynamical degree of billiards in an algebraic curve
Max Weinreich
We introduce an algebraic formulation of billiards on plane curves over algebraically closed fields, extending Glutsyuk's complex billiards. For any smooth algebraic curve of d…
GIT stability of linear maps on projective space with marked points
Max Weinreich
We construct moduli spaces of linear self-maps of projective space with marked points, up to projective equivalence. That is, we let the special linear group act simultaneously by…
Dynamical moduli spaces and polynomial endomorphisms of configurations
Talia Blum, John R. Doyle, Trevor Hyde +3
A portrait is a combinatorial model for a discrete dynamical system on a finite set. We study the geometry of portrait moduli spaces, whose points correspond to equivalence classes…
The Algebraic Dynamics of the Pentagram Map
Max H. Weinreich
The pentagram map, introduced by Schwartz in 1992, is a dynamical system on the moduli space of polygons in the projective plane. Its real and complex dynamics have been explored i…
Automorphism Groups of Endomorphisms of
Julia Cai, Benjamin Hutz, Leo Mayer +1
For any algebraically closed field and any endomorphism of of degree at least 2, the automorphisms of are the Möbius transformations that commute with…
Counting Arcs in Projective Planes via Glynn's Algorithm
Nathan Kaplan, Susie Kimport, Rachel Lawrence +2
An -arc in a projective plane is a collection of distinct points in the plane, no three of which lie on a line. Formulas counting the number of -arcs in any finite projec…