Effective Rationality for local unitary invariants of mixed states of two qubits (with V. Chernyak, J. Klein and N. Rekuski), submitted, arXiv
Rational Local Unitary Invariants of Mixed States of Two Qubits (with V. Chernyak, J. Klein and N. Rekuski), submitted, arXiv
The topological Petersson product (with A. Salch), arXiv
Quantum Neuron with Separable-State Encoding (with L. Cavaletto and Alex Matos-Abiague), arXiv
Minimal Integral Models for Principal Series Weil Characters (with Y. Patel), Comm. Algebra, accepted, arXiv
Topological Hecke eigenforms (with A. Salch), arXiv
Period relations for Riemann surfaces with many automorphisms (with J. Fogliasso, C. Marks, S. Moses), Contemp. Math, 753 (2020) arXiv
The algebraic functional equation of Riemann’s theta function , Ann. Inst. Fourier,70, no. 2 (2020) arXiv
Vector bundles and modular forms for Fuchsian groups of genus zero (with C. Franc), Communications in Number Theory and Physics, Vol. 13, No. 3 (2019) arXiv
The Chevalley-Weil formula for orbifold curves, SIGMA 14 (2018), 071, 17 pages. arXiv
Indecomposable vector-valued modular forms and periods of modular curves (with T. Hartland, C. Marks and D. Yepez), Research in Number Theory, Vol. 4, No. 2 (2018). arXiv
The transformation laws of algebraic theta functions, preprint, 2016. arXiv
Generating weights for the Weil representation attached to an even order cyclic quadratic module (with C. Franc and Gene S. Kopp), Journal of Number Theory 180, 474-497, 2017 arXiv.
A geometric perspective on p-adic properties of mock modular forms (with F. Castella), Research in the Mathematical Sciences, (2017) 4:5 arXiv
Vector valued modular forms and the modular orbifold of elliptic curves, (with C. Franc), International Journal of Number Theory, vol. 13(1), 2017. arXiv
Harmonic weak Maass forms: a geometric approach, Mathematische Annalen, vol. 360(1-2), pp. 489-517, 2014. pdf
Expository Articles
Eichler Cohomology: a view of Ramanujan’s mock modular forms, to appear in the Encyclopedia of Srinivasa Ramanujan and His Mathematics, eds. K. Alladi, G. E. Andrews, B. C. Berndt and K. Ono, Springer.
