51 citations · 58 across the 3 of their papers we have counts for
7 papers
Period relations for Riemann surfaces with many automorphisms
Luca Candelori, Jack Fogliasso, Christopher Marks +1
By employing the theory of vector-valued automorphic forms for non-unitarizable representations, we provide a new bound for the number of linear relations with algebraic coefficien…
Indecomposable vector-valued modular forms and periods of modular curves
Luca Candelori, Tucker Hartland, Christopher Marks +1
We classify the three-dimensional representations of the modular group that are reducible but indecomposable, and their associated spaces of holomorphic vector-valued modular forms…
Intertwining operators and vector-valued modular forms for minimal models
Matthew Krauel, Christopher Marks
Using the language of vertex operator algebras (VOAs) and vector-valued modular forms we study the modular group representations and spaces of 1-point functions associated to inter…
Fourier coefficients of three-dimensional vector-valued modular forms
Christopher Marks
A thorough analysis is made of the Fourier coefficients for vector-valued modular forms associated to three-dimensional irreducible representations of the modular group. In particu…
Irreducible vector-valued modular forms of dimension less than six
Christopher Marks
An algebraic classification is given for spaces of holomorphic vector-valued modular forms of arbitrary real weight and multiplier system, associated to irreducible, T-unitarizable…
Classification of Vector-Valued modular Forms of Dimension less than Six
Christopher Marks
The first half of this dissertation reviews the basic notion of vector-valued modular forms and its connection to differential equations. The main purpose of the dissertation is to…
Structure of the module of vector-valued modular forms
Christopher Marks, Geoffrey Mason
Let be a representation of the modular group of dimension . We show that the -graded space of holomorphic vector-valued modular forms associ…