Kathrin Bringmann | Academic Influence

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Kathrin Bringmann

Mathematics

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Number Theory

#297

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#371

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Measure Theory

#3044

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#3613

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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?

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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 .

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Kathrin Bringmann's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

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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