A. Pixton

activity

20082026

most citedDouble ramification cycles on the moduli spaces of curves

121 citations · 445 across the 23 of their papers we have counts for

collaborators

25 papers

math.AG2026

The tautological ring of $M_{25}$ is not Gorenstein

Aaron Pixton

We show that the tautological ring of $M_{25}$ is not Gorenstein, disproving a conjecture of Faber from 1993. This also implies that the Faber-Zagier relations are the complete lis…

math.AG2023★ 1 cited

Quantum cohomology of the Hilbert scheme of points on an elliptic surface

Georg Oberdieck, Aaron Pixton

We determine the quantum multiplication with divisor classes on the Hilbert scheme of points on an elliptic surface $S \to Σ$ for all curve classes which are contracted by the indu…

math.AG2022★ 5 cited

Logarithmic double ramification cycles

D. Holmes, S. Molcho, R. Pandharipande +2

Let $A = (a_{1}, \dots, a_{n})$ be a vector of integers which sum to $k (2 g - 2 + n)$ . The double ramification cycle $DR_{g, A} \in CH^{g} (M_{g, n})$ on the moduli spac…

math.AG2020

Gromov-Witten theory of K3 surfaces and a Kaneko-Zagier equation for Jacobi forms

Jan-Willem van Ittersum, Georg Oberdieck, Aaron Pixton

We prove the existence of quasi-Jacobi form solutions for an analogue of the Kaneko--Zagier differential equation for Jacobi forms. The transformation properties of the solutions u…

math.AG2018★ 24 cited

Double ramification cycles with target varieties

F. Janda, R. Pandharipande, A. Pixton +1

Let X be a nonsingular projective algebraic variety, and let S be a line bundle on X. Let A = (a_1,..., a_n) be a vector of integers. Consider a map f from a pointed curve (C,x_1,.…

math.AG2018

Generalized boundary strata classes