3 papers
math.HO2025
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…
math.CO2025
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…
math.AG2025
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…