33 citations · 182 across the 43 of their papers we have counts for
50 papers
Bad Reduction of Genus Two Curves with complex multiplication
Jan Hendrik Bruinier, Tonghai Yang, Peng Yu
We study genus two curves whose Jacobians have complex multiplication by a biquadratic CM field. In this setting the Jacobian decomposes as a product of two elliptic curves with co…
The Siegel-Weil formula in geometry and arithmetic
Jan Hendrik Bruinier, Riccardo Zuffetti
The present paper is an extended version of the lecture notes of a course given by the first author at the summer school on Formulas of Siegel and Weil (Bielefeld, September 2025).…
Intersections of special cycles on Shimura curves and Siegel Maass forms
Jan Hendrik Bruinier, Yingkun Li, Martin Möller
We show that the generating series of the number of pairs of geodesics on a compact Shimura curve with given discriminants and intersection angle are coefficients of a non-holomorp…
Correction to "Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series"
Jan Hendrik Bruinier, Martin Raum
We correct an error in Lemma 4.4 and its application in Theorem 4.5 in our paper ``Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series''.
Lefschetz decompositions of Kudla-Millson theta functions
Jan Hendrik Bruinier, Riccardo Zuffetti
In the 1980's Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential f…
Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties
Jan Hendrik Bruinier, Eugenia Rosu, Shaul Zemel
We consider the generating series of appropriately completed 0-dimensional special cycles on a toroidal compactification of an orthogonal or unitary Shimura variety with values in…