16 citations · 61 across the 27 of their papers we have counts for
6 papers · 1 filter
Prill's problem
Aaron Landesman, Daniel Litt
We solve Prill's problem, originally posed by David Prill in the late 1970s and popularized in ACGH's "Geometry of Algebraic Curves." That is, for any curve of genus , we pr…
Applications of the algebraic geometry of the Putman-Wieland conjecture
Aaron Landesman, Daniel Litt
We give two applications of our prior work toward the Putman-Wieland conjecture. First, we deduce a strengthening of a result of Marković-Tošić on virtual mapping class group actio…
An introduction to the algebraic geometry of the Putman-Wieland conjecture
Aaron Landesman, Daniel Litt
We give algebraic and geometric perspectives on our prior results toward the Putman-Wieland conjecture. This leads to interesting new constructions of families of "origami" curves…
Canonical representations of surface groups
Aaron Landesman, Daniel Litt
Let be an orientable surface of genus with punctures. We study actions of the mapping class group of via Hodge-theoretic and arithmetic techniques. We s…
Low degree Hurwitz stacks in the Grothendieck ring
Aaron Landesman, Ravi Vakil, Melanie Matchett Wood
For , we show that the class of the Hurwitz space of smooth degree , genus covers of stabilizes in the Grothendieck ring of stacks as $g \to \…
Geometric local systems on very general curves and isomonodromy
Aaron Landesman, Daniel Litt
We show that the minimum rank of a non-isotrivial local system of geometric origin, on a suitably general -pointed curve of genus , is at least . We apply this r…