4 papers
Special points on intersections of hypersurfaces
Claudio Gómez-Gonzáles
We establish lower bounds on the ambient dimension for an intersection of hypersurfaces to have a dense collection of "level " points, in the sense introduced by Arnold-Shimu…
Solvable points on intersections of quadrics, cubics, and quartics
Claudio Gómez-Gonzáles, Jesse Wolfson
Let be a field of characteristic not 2 or 3. We establish polynomial lower bounds on the ambient dimension for an intersection of quadrics, cubics an…
Fractals in Africanist Music
Claudio Gómez-Gonzáles, Sidhanth Raman, Siddharth Viswanath +1
We investigate fractal structures in African and African diasporic music, building on hypotheses of choreographer Reggie Wilson and research on fractals in African material culture…
Generalized Versality, Special Points, and Resolvent Degree for the Sporadic Groups
Claudio Gómez-Gonzáles, Alexander J. Sutherland, Jesse Wolfson
Resolvent degree is an invariant measuring the complexity of algebraic and geometric phenomena, including the complexity of finite groups. To date, the resolvent degree of a finite…