Martin Raum

Professor at Algebra and geometry

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.

Source: chalmers.se
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Showing 19 publications

2021

Modular forms of virtually real-arithmetic type I: Mixed mock modular forms yield vector-valued modular forms

Michael H. Mertens, Martin Raum
Mathematical Research Letters. Vol. 28 (2), p. 511-561
Journal article
2020

All modular forms of weight 2 can be expressed by Eisenstein series

Martin Raum, Jiacheng Xia
Research in Number Theory. Vol. 6 (3)
Journal article
2020

Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers

Olivia Beckwith, Martin Raum, Olav K. Richter
Proceedings of the National Academy of Sciences of the United States of America. Vol. 117 (36), p. 21953-21961
Journal article
2019

The skew-Maass lift I

Martin Raum, Olav K. Richter
Reserach in Mathematical Sciences. Vol. 6
Journal article
2019

The skew-Maass lift I: The case of harmonic Maass-Jacobi forms

Martin Raum, Olav K. Richter
RESEARCH IN THE MATHEMATICAL SCIENCES. Vol. 6 (2)
Journal article
2018

Hyper-Algebras of Vector-Valued Modular Forms

Martin Raum
Symmetry, Integrability and Geometry - Methods and Applications. Vol. 14
Journal article
2018

Harmonic Weak Siegel-Maass Forms I Preimages of Non-Holomorphic Saito-Kurokawa Lifts

Martin Raum
International Mathematics Research Notices (5), p. 1442-1472
Journal article
2017

Products of vector valued Eisenstein series

Martin Raum
Forum Mathematicum. Vol. 29 (1), p. 157-186
Journal article
2016

Harmonic Maass-Jacobi forms of degree 1 with higher rank indices

C. H. Conley, Martin Raum
International Journal of Number Theory. Vol. 12 (7), p. 1871-1897
Journal article
2016

Almost holomorphic Poincare series corresponding to products of harmonic Siegel-Maass forms

Kathrin Bringmann, Olav K. Richter, Martin Raum
RESEARCH IN THE MATHEMATICAL SCIENCES. Vol. 3, p. Art. no. 30-
Journal article
2016

Spans of special cycles of codimension less than 5

Martin Raum
Journal für die Reine und Angewandte Mathematik. Vol. 2016 (718), p. 39-57
Journal article
2016

Computing genus 1 Jacobi forms

Martin Raum
Mathematics of Computation. Vol. 85 (298), p. 931-960
Journal article
2016

Almost holomorphic Poincaré series corresponding to products of harmonic Siegel–Maass forms

Kathrin Bringmann, Olav K. Richter, Martin Westerholt- Raum
Research in Mathematical Sciences. Vol. 3 (1)
Journal article
2015

Formal Fourier Jacobi expansions and special cycles of codimension two

Martin Raum
Compositio Mathematica. Vol. 151 (12), p. 2187-2211
Journal article
2015

H-harmonic Maaß-Jacobi forms of degree 1

Martin Raum
Research in the Mathematical Sciences. Vol. 2, p. 34-
Journal article
2015

Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition

Kathrin Bringmann, Martin Raum, Olav Richter
Transactions of the American Mathematical Society. Vol. 367 (9), p. 6647-6670
Journal article
2015

Kudla's modularity conjecture and formal Fourier-Jacobi series

Jan Hendrik Bruinier, Martin Raum
Forum of Mathematics, Pi. Vol. 3, p. 30-
Journal article
2015

Sturm bounds for Siegel modular forms

Martin Raum, Olav Richter
Research in Number Theory. Vol. 1 (1)
Journal article
2015

The structure of Siegel modular forms modulo pp and U(p) congruences

Martin Raum, Olav Richter
Mathematical Research Letters. Vol. 22 (3), p. 899-928
Journal article

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Showing 2 research projects

2020–2023

Real-Analytic Orthogonal Modular Forms as Generating Series

Martin Raum Algebra and geometry
Swedish Research Council (VR)

2016–2019

Siegel modulära genererande funktioner

Martin Westerholt-Raum Algebra and geometry
Swedish Research Council (VR)

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