# Kathrin Bringmann

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German mathematician

## Kathrin Bringmann's AcademicInfluence.com Rankings

Kathrin Bringmannmathematics Degrees

Mathematics

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#4931

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Number Theory

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#371

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Measure Theory

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Mathematics

## Kathrin Bringmann's Degrees

- PhD Mathematics University of Cologne
- Masters Mathematics University of Cologne
- Bachelors Mathematics University of Cologne

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## Why Is Kathrin Bringmann Influential?

(Suggest an Edit or Addition)According to Wikipedia, Kathrin Bringmann is a German number theorist in the University of Cologne, Germany, who has made fundamental contributions to the theory of mock theta functions. Education and career Kathrin Bringmann was born on 8 May 1977, in Muenster, Germany. She passed the State Examinations in Mathematics and Theology at the University of Würzburg, Germany, in 2002, and obtained a Diploma in Mathematics at Würzburg in 2003. She received PhD in 2004 from University of Heidelberg under the supervision of .

## Kathrin Bringmann's Published Works

### Published Works

- Dyson’s ranks and Maass forms (2010) (207)
- Harmonic Maass Forms and Mock Modular Forms: Theory and Applications (2017) (170)
- ON THE EXPLICIT CONSTRUCTION OF HIGHER DEFORMATIONS OF PARTITION STATISTICS (2007) (103)
- Eulerian series as modular forms (2007) (79)
- Rank and crank moments for overpartitions (2008) (72)
- The f(q) mock theta function conjecture and partition ranks (2006) (65)
- Lifting cusp forms to Maass forms with an application to partitions (2007) (61)
- From sheaves on P2 to a generalization of the Rademacher expansion (2010) (60)
- RANK AND CONGRUENCES FOR OVERPARTITION PAIRS (2008) (57)
- Partial theta functions and mock modular forms as q-hypergeometric series (2011) (57)
- Eichler–Shimura theory for mock modular forms (2013) (54)
- Asymptotic inequalities for positive crank and rank moments (2012) (52)
- DYSON'S RANK, OVERPARTITIONS, AND WEAK MAASS FORMS (2007) (52)
- Zagier-type dualities and lifting maps for harmonic Maass–Jacobi forms (2010) (51)
- Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols (2008) (51)
- Asymptotics for rank partition functions (2007) (47)
- An extension of the Hardy-Ramanujan circle method and applications to partitions without sequences (2011) (46)
- Overpartitions and class numbers of binary quadratic forms (2007) (45)
- Negative index Jacobi forms and quantum modular forms (2014) (42)
- Partition Statistics and Quasiharmonic Maass Forms (2009) (41)
- Arithmetic properties of coefficients of half-integral weight Maass–Poincaré series (2007) (37)
- W-algebras , false theta functions and quantum modular forms (2015) (36)
- ℓ-adic properties of smallest parts functions (2011) (36)
- Asymptotics for rank and crank moments (2009) (36)
- Locally Harmonic Maass Forms and the Kernel of the Shintani Lift (2012) (35)
- -Algebras, False Theta Functions and Quantum Modular Forms, I (2015) (35)
- Taylor coefficients of mock-Jacobi forms and moments of partition statistics (2014) (35)
- ON DYSON'S CRANK CONJECTURE AND THE UNIFORM ASYMPTOTIC BEHAVIOR OF CERTAIN INVERSE THETA FUNCTIONS (2013) (35)
- Some characters of Kac and Wakimoto and nonholomorphic modular functions (2009) (35)
- Half-integral weight Eichler integrals and quantum modular forms (2014) (32)
- Asymptotic behavior of partial and false theta functions arising from Jacobi forms and regularized characters (2016) (30)
- Higher depth quantum modular forms, multiple Eichler integrals, and $\frak{sl}_3$ false theta functions. (2017) (30)
- Rank-Crank type PDE's and non-holomorphic Jacobi forms (2008) (30)
- Double series representations for Schur's partition function and related identities (2014) (28)
- On the asymptotic behavior of Kac-Wakimoto characters (2012) (27)
- On Divisors of Modular Forms (2016) (27)
- Tropical Mirror Symmetry for Elliptic Curves (2013) (27)
- Improved bounds on metastability thresholds and probabilities for generalized bootstrap percolation (2010) (27)
- MULTIPLICATIVE q-HYPERGEOMETRIC SERIES ARISING FROM REAL QUADRATIC FIELDS (2008) (26)
- q-series and weight 3/2 Maass forms (2009) (26)
- Asymptotic formulas for stacks and unimodal sequences (2013) (25)
- ON THE POSITIVITY OF BLACK HOLE DEGENERACIES IN STRING THEORY (2012) (25)
- Unimodal sequences and "strange'' functions: a family of quantum modular forms (2015) (25)
- Inequalities for differences of Dyson's rank for all odd moduli (2010) (24)
- Regularized inner products and errors of modularity (2016) (24)
- On the modularity of the unified WRT invariants of certain Seifert manifolds (2011) (24)
- Theta lifts and local Maass forms (2012) (24)
- Inequalities between ranks and cranks (2009) (24)
- Radial limits of mock theta functions (2014) (23)
- Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition (2012) (23)
- Partition statistics and quasiweak Maass forms (2008) (23)
- W-algebras, higher rank false theta functions, and quantum dimensions (2017) (23)
- Special L -values and periods of weakly holomorphic modular forms (2014) (23)
- Quantum modular forms and plumbing graphs of 3-manifolds (2018) (22)
- On a Tauberian theorem of Ingham and Euler–Maclaurin summation (2019) (22)
- Proofs and reductions of various conjectured partition identities of Kanade and Russell (2018) (22)
- Duality and Differential Operators for Harmonic Maass Forms (2013) (22)
- Asymptotic formulas for coefficients of inverse theta functions (2013) (21)
- On the Fourier coefficients of negative index meromorphic Jacobi forms (2015) (21)
- Shintani lifts and fractional derivatives for harmonic weak Maass forms (2014) (20)
- A problem of Petersson about weight 0 meromorphic modular forms (2015) (20)
- Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions (2011) (20)
- Higher depth quantum modular forms and plumbed 3-manifolds (2019) (20)
- A framework for modular properties of false theta functions (2019) (19)
- On the modularity of certain functions from the Gromov–Witten theory of elliptic orbifolds (2015) (18)
- Ramanujan and coefficients of meromorphic modular forms (2016) (16)
- On a completed generating function of locally harmonic Maass forms (2012) (16)
- K-RUN OVERPARTITIONS AND MOCK THETA FUNCTIONS (2012) (16)
- Peak positions of strongly unimodal sequences (2018) (15)
- Kohnen's limit process for real-analytic Siegel modular forms (2011) (14)
- Vector-valued higher depth quantum modular forms and higher Mordell integrals (2018) (14)
- Sums of class numbers and mixed mock modular forms (2013) (14)
- Higher depth quantum modular forms, multiple Eichler integrals, and $$\mathfrak {sl}_3$$sl3 false theta functions (2017) (14)
- Coefficients of Harmonic Maass Forms (2012) (14)
- Regularized inner products of meromorphic modular forms and higher Green’s functions (2014) (14)
- Massive deformations of Maass forms and Jacobi forms (2019) (13)
- The Asymptotic Distribution of the Rank for Unimodal Sequences (2019) (13)
- $\ell$-adic properties of smallest parts functions (2010) (13)
- Distributions on partitions arising from Hilbert schemes and hook lengths (2021) (13)
- Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser (2020) (13)
- CONGRUENCES FOR DYSON'S RANKS (2009) (13)
- Graded dimensions of principal subspaces and modular Andrews–Gordon-type series (2014) (13)
- On cycle integrals of weakly holomorphic modular forms (2014) (13)
- Convolution Bootstrap Percolation Models, Markov-type Stochastic Processes, and Mock Theta Functions (2013) (12)
- On some special families of $q$-hypergeometric Maass forms (2016) (12)
- Quantum Jacobi forms and finite evaluations of unimodal rank generating functions (2016) (12)
- Asymptotics for the number of row-Fishburn matrices (2014) (12)
- Almost harmonic Maass forms and Kac-Wakimoto characters (2011) (12)
- Eichler integrals of Eisenstein series as q-brackets of weighted t-hook functions on partitions (2020) (12)
- Distinct Parts Partitions without Sequences (2015) (11)
- Traces of singular moduli on Hilbert modular surfaces (2005) (11)
- Applications of Poincaré series on Jacobi groups (2004) (11)
- Identities for Generalized Appell Functions and the Blow-up Formula (2015) (11)
- Overpartitions with Restricted Odd Differences (2015) (11)
- An arithmetic formula for the partition function (2007) (11)
- LIFTING ELLIPTIC CUSP FORMS TO MAASS FORMS WITH AN APPLICATION TO PARTITIONS (2006) (10)
- False theta functions and companions to Capparelli's identities (2014) (10)
- Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols (2010) (9)
- Cycle integrals of meromorphic modular forms and CM-values of automorphic forms (2014) (9)
- Half-integral weight p-adic coupling of weakly holomorphic and holomorphic modular forms (2015) (9)
- A classification of harmonic Maass forms (2016) (9)
- Rank two false theta functions and Jacobi forms of negative definite matrix index (2019) (8)
- Mock modular forms as $p$-adic modular forms (2010) (8)
- AN EXACT FORMULA FOR U(3) VAFA-WITTEN INVARIANTS ON P2 (2018) (8)
- On the asymptotic behavior of unimodal rank generating functions (2014) (8)
- EXACT FORMULAS FOR COEFFICIENTS OF JACOBI FORMS (2011) (8)
- Higher Depth False Modular Forms (2021) (8)
- New identities involving sums of the tails related to real quadratic fields (2010) (7)
- Schur's partition theorem and mixed mock modular forms (2013) (7)
- Indefinite theta functions arising in Gromov-Witten Theory of elliptic orbifolds (2016) (7)
- On the rationality of cycle integrals of meromorphic modular forms (2018) (6)
- Erratum to “On a conjecture of Koike on identities between Thompson series and Rogers-Ramanujan functions” (2007) (6)
- On a conjecture of B. Berndt and B. Kim (2013) (6)
- Secord-order cusp forms and mixed mock modular forms (2013) (6)
- Ramanujan-like formulas for Fourier coefficients of all meromorphic cusp forms (2016) (6)
- Asymptotic formulas for coefficients of Kac–Wakimoto Characters (2013) (6)
- Zhu reduction for Jacobi $n$-point functions and applications (2017) (6)
- Maass-Jacobi Poincar\'e series and Mathieu Moonshine (2014) (6)
- An exact formula for $\mathbf {U (3)}$ Vafa-Witten invariants on $\mathbb {P}^2$ (2018) (6)
- MAASS-JACOBI FORMS OVER COMPLEX QUADRATIC FIELDS (2007) (5)
- Quasimodular forms and $$s\ell (m|m)^\wedge $$sℓ(m|m)∧ characters (2015) (5)
- Cycle integrals of meromorphic modular forms and coefficients of harmonic Maass forms (2020) (5)
- Higher-depth mock modular forms arising in Gromov-Witten Theory of elliptic orbifolds (2016) (5)
- Quasimodular forms and sl(m|m)^ characters (2013) (5)
- Lifting maps from a vector space of Jacobi cusp forms to a subspace of elliptic modular forms (2006) (5)
- Proofs and Reductions of Kanade and Russell's partition identities (2018) (5)
- A partition identity and the universal mock theta function $g_2$ (2013) (5)
- Jacobi forms over complex quadratic fields via the cubic Casimir operators (2012) (5)
- Integral representations of rank two false theta functions and their modularity properties (2021) (5)
- Infinite families of crank functions, Stanton-type conjectures, and unimodality (2021) (5)
- On t-core and self-conjugate (2t - 1)-core partitions in arithmetic progressions (2020) (5)
- Fourier coefficients of meromorphic modular forms and a question of Petersson (2016) (5)
- On the Fourier expansion of Bloch-Okounkov n-point function (2015) (5)
- Class numbers and representations by ternary quadratic forms with congruence conditions (2020) (4)
- Estimates of Fourier Coefficients of Siegel Cusp Forms for Subgroups and in the Case of Small Weight (2006) (4)
- FROM SHEAVES ON P 2 TO A GENERALIZATION OF THE (2010) (4)
- $p$-adic properties of modular shifted convolution Dirichlet series (2014) (4)
- SOME EXAMPLES OF HIGHER DEPTH VECTOR-VALUED QUANTUM MODULAR FORMS (2019) (4)
- Modular local polynomials (2014) (4)
- A Note on Andrews’ Partitions with Parts Separated by Parity (2018) (4)
- On Jacobi Poincaré Series of Small weight (2010) (4)
- Taylor coefficients of non-holomorphic Jacobi forms and applications (2017) (4)
- Asymptotic formulas for some retricted partition functions (2006) (4)
- Modular Forms on Schiermonnikoog: Mock theta functions, weak Maass forms, and applications (2008) (4)
- Distribution of moments of trace of Frobenius in arithmetic progressions and holomorphic projection (2020) (3)
- Unimodal sequence generating functions arising from partition ranks (2018) (3)
- Corrigendum to “On divisors of modular forms” [Adv. Math. 329 (2018) 541–554] (2020) (3)
- Identities for traces of singular moduli (2005) (3)
- AN EXTENSION OF ROHRLICH’S THEOREM TO THE $j$-FUNCTION (2019) (3)
- On the Modular Completion of Certain Generating Functions (2018) (3)
- Ramanujan Type Congruences and Jacobi Forms (2010) (3)
- On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's $\omega(q)$ (2016) (3)
- On the Andrews-Zagier asymptotics for partitions without sequences (2015) (2)
- Hecke duality relations of Jacobi forms (2007) (2)
- ON THE BOUNDARY BEHAVIOR OF AUTOMORPHIC FORMS (2006) (2)
- Graph schemes, graph series, and modularity (2021) (2)
- Almost holomorphic Poincaré series corresponding to products of harmonic Siegel–Maass forms (2016) (2)
- A Converse Theorem for Hilbert-Jacobi Forms (2009) (2)
- Differential operators on polar harmonic Maass forms and elliptic duality (2017) (2)
- Generating functions of planar polygons from homological mirror symmetry of elliptic curves (2019) (1)
- W-algebras, higher rank false theta functions, and quantum dimensions (2016) (1)
- Kac-Wakimoto characters and non-holomorphic Jacobi forms (2016) (1)
- Images of Maass-Poincaré Series in the Lower Half-Plane (2016) (1)
- Odd moments for the trace of Frobenius and the Sato--Tate conjecture in arithmetic progressions (2021) (1)
- MOCK THETA FUNCTION CONJECTURE AND PARTITION RANKS (2005) (1)
- On the Fourier coefficients of negative index meromorphic Jacobi forms (2015) (1)
- Four Faces of Number Theory (2015) (1)
- Correction to: Quasimodular forms and $$s\ell (m\vert m)^{\wedge }$$sℓ(m|m)∧ characters (2018) (1)
- On characters of $L_{\frak{sl}_n}(-\Lambda_0)$-modules (2018) (1)
- The false theta functions of Rodgers and their modularity (2021) (1)
- Inverse theta functions as quantum modular forms (2014) (1)
- A modular framework of functions of Knopp and indefinite binary quadratic forms (2022) (1)
- Statistics for unimodal sequences (2021) (1)
- Unimodality of ranks and a proof of Stanton's conjecture (2022) (1)
- Formulas for Jacobi forms and generalized Frobenius partitions (2016) (1)
- Polar harmonic Maass forms and their applications (2016) (1)
- Number theoretic generalization of the monster denominator formula (2017) (1)
- Quantum modular forms from real-quadratic double sums (2022) (1)
- Conjectures of Sun About Sums of Polygonal Numbers (2021) (1)
- ARITHMETIC PROPERTIES OF NON-HARMONIC WEAK MAASS FORMS (2008) (1)
- Inequalities for full rank differences of 2-marked Durfee symbols (2011) (1)
- Improved bounds for Fourier coefficients of Siegel modular forms (2016) (1)
- Higher depth quantum modular forms and plumbed 3-manifolds (2020) (1)
- Asymptotic expansions for partitions generated by infinite products (2023) (1)
- On characters of L𝔰𝔩n(−Λ0)-modules (2019) (1)
- Erratum to Tropical mirror symmetry for elliptic curves (J. reine angew. Math. 732 (2017), 211–246) (2018) (1)
- Some q-series identities extending work of Andrews, Crippa, and Simon on sums of divisors functions (2019) (1)
- Radial limits of mock theta functions (2015) (0)
- Hecke eigenforms for meromorphic cusp forms (2023) (0)
- CJM volume 73 issue 6 Cover and Front matter (2021) (0)
- MOCK-JACOBI FORMS AND MOMENTS OF PARTITION STATISTICS 3 to provide a combinatorial explanation of Ramanujan ’ s congruences Dyson introduced (2012) (0)
- Negative index Jacobi forms and quantum modular forms (2014) (0)
- CJM volume 74 issue 4 Cover and Front matter (2022) (0)
- Regularized inner products and weakly holomorphic Hecke eigenforms (2017) (0)
- Identities for Generalized Appell Functions and the Blow-up Formula (2016) (0)
- The Lusztig-Macdonald-Wall polynomial conjectures and q-difference equations (2017) (0)
- Quantum Jacobi forms and finite evaluations of unimodal rank generating functions (2016) (0)
- Almost holomorphic Poincaré series corresponding to products of harmonic Siegel–Maass forms (2016) (0)
- Applications of hypercomplex Poincaré series to Bergman spaces (2004) (0)
- CJM volume 74 issue 2 Cover and Front matter (2022) (0)
- Partial theta functions and mock modular forms as q-hypergeometric series (2012) (0)
- CJM volume 75 issue 2 Cover and Front matter (2023) (0)
- Rigidity of Elliptic Genera: From Number Theory to Geometry and Back (2020) (0)
- Modularity of counting functions of convex planar polygons with rationality conditions (2023) (0)
- CJM volume 74 issue 5 Cover and Front matter (2022) (0)
- On characters of Lsln(−Λ0)-modules (2020) (0)
- Representations of integers as sums of four polygonal numbers and partial theta functions (2021) (0)
- An asymptotic formula for the number of $n$-dimensional representations of $\mathrm{SU}(3)$ (2021) (0)
- TRANSIENT TRANSCENDENCE IN TRANSYLVANIA (2019) (0)
- A classification of harmonic Maass forms (2017) (0)
- A Rademacher-type exact formula for partitions without sequences (2023) (0)
- Generalized L-functions for meromorphic modular forms and their relation to the Riemann zeta function (2021) (0)
- Quasimodular forms and sℓ(m|m)∧\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$s\ell (m|m)^\wedge $$\end{document} cha (2014) (0)
- ON CYCLE INTEGRALS (2014) (0)
- A problem of Petersson about weight 0 meromorphic modular forms (2016) (0)
- Asymptotics of parity biases for partitions into distinct parts via Nahm sums (2023) (0)
- DURFEE SYMBOLS AND WEAK MAASS FORMS (2008) (0)
- Eichler–Shimura theory for mock modular forms (2012) (0)
- BCM volume 65 issue 2 Cover and Front matter (2022) (0)
- Taylor coefficients of false Jacobi forms and ranks of unimodal sequences (2022) (0)
- Formulas for moments of class numbers in arithmetic progressions (2021) (0)
- Generating functions of planar polygons from homological mirror symmetry of elliptic curves (2020) (0)
- BCM volume 65 issue 1 Cover and Front matter (2022) (0)
- On a conjecture of Berndt and Kim (2011) (0)
- Extending Ono and Raji's relations between class numbers and self-conjugate 7-cores (2020) (0)
- Taylor coefficients of non-holomorphic Jacobi forms and applications (2018) (0)
- Polar harmonic Maass forms and their applications (2016) (0)
- On the rationality of cycle integrals of meromorphic modular forms (2019) (0)
- On a conjecture of B. Berndt and B. Kim (2012) (0)
- Andrew's 2-marked Durfee symbols and weak Maass forms (2007) (0)
- BCM volume 66 issue 2 Cover and Front matter (2023) (0)
- Half-integral weight p-adic coupling of weakly holomorphic and holomorphic modular forms (2015) (0)
- Correction to: Quasimodular forms and sℓ(m|m)∧\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$s\ell (m\vert m)^{\wedge (2018) (0)
- On a conjecture of (2012) (0)
- BCM volume 66 issue 1 Cover and Front matter (2023) (0)
- MULTIPLICATIVE q-HYPERGEOMETRIC SERIES ARISING FROM REAL (2008) (0)
- N T ] 2 8 N ov 2 01 0 lADIC PROPERTIES OF SMALLEST PARTS FUNCTIONS (2010) (0)
- On the Fourier expansion of Bloch-Okounkov (2014) (0)
- Secord-order cusp forms and mixed mock modular forms (2012) (0)
- An explicit weight $0$ Riemann-Roch theorem (2015) (0)
- Three-Colored Partitions and Dilated Companions of Capparelli’s Identities (2016) (0)
- CJM volume 74 issue 6 Cover and Front matter (2022) (0)
- The degenerate parts of spaces of meromorphic cusp forms under a regularized inner product (2020) (0)

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