Martin Raum

Full 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 28 publications

2025

A classification of polyharmonic Maaß forms via quiver representations

Claudia Alfes, I. Burban, Martin Raum
Journal of Algebra. Vol. 661, p. 713-756
Journal article
2024

Imaginary Quadratic Fields With ℓ-Torsion-Free Class Groups and Specified Split Primes

Olivia Beckwith, Martin Raum, Olav K. Richter
International Mathematics Research Notices. Vol. 2024 (16), p. 11582-11596
Journal article
2024

FORMAL SIEGEL MODULAR FORMS FOR ARITHMETIC SUBGROUPS

Jan Hendrik Bruinier, Martin Raum
Transactions of the American Mathematical Society Series B. Vol. 11, p. 1394-1434
Journal article
2023

SCARCITY OF CONGRUENCES FOR THE PARTITION FUNCTION

Scott Ahlgren, Olivia Beckwith, Martin Raum
American Journal of Mathematics. Vol. 145 (5), p. 1509-1548
Journal article
2023

ON THE COMPUTATION OF GENERAL VECTOR-VALUED MODULAR FORMS

Tobias Magnusson, Martin Raum
Mathematics of Computation. Vol. 92 (344), p. 2861-2891
Journal article
2023

Scalar-valued depth two Eichler–Shimura integrals of cusp forms

Tobias Magnusson, Martin Raum
Transactions of the London Mathematical Society. Vol. 10 (1), p. 156-174
Journal article
2023

Relations among Ramanujan-type congruences II: Ramanujan-type congruences in half-integral weights

Martin Raum
Forum Mathematicum. Vol. 35 (3), p. 615-646
Journal article
2023

A classification of harmonic weak Maaß forms of half-integral weight

Claudia Alfes-Neumann, Martin Raum
Research in Number Theory. Vol. 9 (3)
Journal article
2022

Relations among Ramanujan-type congruences I

Martin Raum
Advances in Mathematics. Vol. 409
Journal article
2022

Congruences of Hurwitz class numbers on square classes

Olivia Beckwith, Martin Raum, Olav K. Richter
Advances in Mathematics. Vol. 409
Journal article
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
2021

The maximal discrete extension of the Hermitian modular group

Aloys Krieg, Martin Raum, Annalena Wernz
Documenta Mathematica. Vol. 26, p. 1871-1888
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
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
2019

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

Martin Raum, Olav K. Richter
Research in Mathematical Sciences. Vol. 6
Journal article
2018

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

Martin Raum
International Mathematics Research Notices. Vol. 2018 (5), p. 1442-1472
Journal article
2018

Hyper-Algebras of Vector-Valued Modular Forms

Martin Raum
Symmetry, Integrability and Geometry - Methods and Applications. Vol. 14
Journal article
2017

Products of vector valued Eisenstein series

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

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
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

Computing genus 1 Jacobi forms

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

Sturm bounds for Siegel modular forms

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

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

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 3 research projects

2024–2027

Fourier coefficients of Siegel modular forms of block-diagonal index

Martin Raum Algebra and geometry
Swedish Research Council (VR)

1 publication exists
2020–2023

Real-Analytic Orthogonal Modular Forms as Generating Series

Martin Raum Algebra and geometry
Swedish Research Council (VR)

9 publications exist
2016–2019

Siegel modulära genererande funktioner

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

6 publications exist
There might be more projects where Martin Raum participates, but you have to be logged in as a Chalmers employee to see them.