Martin Raum
My major research interests are modular forms and their applications in mathematics and physics, in particular string theory. More specifically, I am interested real-analytic automorphic forms, Siegel and orthogonal modular forms, and explicit methods for autormorphic forms.
Showing 19 publications
All modular forms of weight 2 can be expressed by Eisenstein series
Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers
The skew-Maass lift I: The case of harmonic Maass-Jacobi forms
Hyper-Algebras of Vector-Valued Modular Forms
Harmonic Weak Siegel-Maass Forms I Preimages of Non-Holomorphic Saito-Kurokawa Lifts
Products of vector valued Eisenstein series
Harmonic Maass-Jacobi forms of degree 1 with higher rank indices
Almost holomorphic Poincare series corresponding to products of harmonic Siegel-Maass forms
Spans of special cycles of codimension less than 5
Computing genus 1 Jacobi forms
Almost holomorphic Poincaré series corresponding to products of harmonic Siegel–Maass forms
Formal Fourier Jacobi expansions and special cycles of codimension two
H-harmonic Maaß-Jacobi forms of degree 1
Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition
Kudla's modularity conjecture and formal Fourier-Jacobi series
Sturm bounds for Siegel modular forms
The structure of Siegel modular forms modulo pp and U(p) congruences
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Showing 2 research projects
Real-Analytic Orthogonal Modular Forms as Generating Series
Siegel modulära genererande funktioner