748 citations · 836 across the 18 of their papers we have counts for
21 papers
Musical Chords by the Numbers
Matthias Beck, Emily Clader
The mathematics of musical intervals and scales has been extensively studied. Vastly simplified, our ears seem to prefer intervals whose frequency ratios have small numerator and d…
Piecewise-exponential functions and Ehrhart fans
Melody Chan, Emily Clader, Caroline Klivans +1
This paper studies rings of integral piecewise-exponential functions on rational fans. Motivated by lattice-point counting in polytopes, we introduce a special class of unimodular…
Multimatroids and rational curves with cyclic action
Emily Clader, Chiara Damiolini, Christopher Eur +2
We study the connection between multimatroids and moduli spaces of rational curves with cyclic action. Multimatroids are generalizations of matroids and delta-matroids introduced b…
Open -spin theory III: a prediction for higher genus
Alexandr Buryak, Emily Clader, Ran J. Tessler
In our previous two papers, we constructed an -spin theory in genus zero for Riemann surfaces with boundary and fully determined the corresponding intersection numbers, providin…
Wonderful compactifications and rational curves with cyclic action
Emily Clader, Chiara Damiolini, Shiyue Li +1
We prove that the moduli space of rational curves with cyclic action, constructed in our previous work, is realizable as a wonderful compactification of the complement of a hyperpl…
Permutohedral complexes and rational curves with cyclic action
Emily Clader, Chiara Damiolini, Daoji Huang +2
We define a moduli space of rational curves with finite-order automorphism and weighted orbits, and we prove that the combinatorics of its boundary strata are encoded by a particul…
Boundary complexes of moduli spaces of curves in higher genus
Emily Clader, Dante Luber, Kyla Quillin
Given a collection of boundary divisors in the moduli space of stable genus-zero n-pointed curves, Giansiracusa proved that their intersection is nonempty if and only if all pairwi…
Open r-spin theory I: Foundations
Alexandr Buryak, Emily Clader, Ran J. Tessler
We lay the foundation for a version of -spin theory in genus zero for Riemann surfaces with boundary. In particular, we define the notion of -spin disks, their moduli space,…
Open -spin theory II: The analogue of Witten's conjecture for -spin disks
Alexandr Buryak, Emily Clader, Ran J. Tessler
We conclude the construction of -spin theory in genus zero for Riemann surfaces with boundary. In particular, we define open -spin intersection numbers, and we prove that the…
Wall-crossing in genus-zero hybrid theory
Emily Clader, Dustin Ross
The hybrid model is the Landau-Ginszburg-type theory that is expected, via the Landau-Ginzburg/Calabi-Yau correspondence, to match the Gromov-Witten theory of a complete intersecti…
Closed extended -spin theory and the Gelfand-Dickey wave function
Alexandr Buryak, Emily Clader, Ran J. Tessler
We study a generalization of genus-zero -spin theory in which exactly one insertion has a negative-one twist, which we refer to as the "closed extended" theory, and which is clo…
Higher-genus wall-crossing in the gauged linear sigma model
Emily Clader, Felix Janda, Yongbin Ruan
We introduce a technique for proving all-genus wall-crossing formulas in the gauged linear sigma model as the stability parameter varies, without assuming factorization properties…
Topological recursion relations from Pixton's formula
Emily Clader, Felix Janda, Xin Wang +1
We prove that every degree-g polynomial in the -classes on can be expressed as a sum of tautological classes supported on the boundary with no …
Higher-genus quasimap wall-crossing via localization
Emily Clader, Felix Janda, Yongbin Ruan
We give a new proof of Ciocan-Fontanine and Kim's wall-crossing formula relating the virtual classes of the moduli spaces of -stable quasimaps for different in any genus, wh…
Ternary Weight Networks
Fengfu Li, Bin Liu, Xiaoxing Wang +2
We present a memory and computation efficient ternary weight networks (TWNs) - with weights constrained to +1, 0 and -1. The Euclidian distance between full (float or double) preci…
Pixton's double ramification cycle relations
Emily Clader, Felix Janda
We prove a conjecture of Pixton, namely that his proposed formula for the double ramification cycle on Mbar_{g,n} vanishes in codimension beyond g. This yields a collection of taut…
Sigma Models and Phase Transitions for Complete Intersections
Emily Clader, Dustin Ross
We study a one-parameter family of gauged linear sigma models (GLSMs) naturally associated to a complete intersection in weighted projective space. In the positive phase of the fam…
Mirror Symmetry Constructions
Emily Clader, Yongbin Ruan
These expository notes are based on lectures by Yongbin Ruan during a special semester on the B-model at the University of Michigan in Winter 2014. They outline and compare the mir…
Relations on Mbar_{g,n} via orbifold stable maps
Emily Clader
Using the equivariant virtual cycle of the moduli space of stable maps to [C/Z_r], or equivalently, the vanishing of high-degree Chern classes of a certain vector bundle over the m…
Geometric Quantization with Applications to Gromov-Witten Theory
Emily Clader, Nathan Priddis, Mark Shoemaker
This is an expository article on the techniques of quantization as they are applied to Gromov-Witten theory and related areas.
Landau-Ginzburg/Calabi-Yau correspondence for the complete intersections X_{3,3} and X_{2,2,2,2}
Emily Clader
We define a generalization of Fan-Jarvis-Ruan-Witten theory, a "hybrid" model associated to a collection of quasihomogeneous polynomials of the same weights and degree, which is ex…