# Karl Mahlburg

#35,150

Most Influential Person Now

American mathematician

## Karl Mahlburg's AcademicInfluence.com Rankings

Karl Mahlburgmathematics Degrees

Mathematics

#3076

World Rank

#4613

Historical Rank

#1163

USA Rank

Measure Theory

#5258

World Rank

#6219

Historical Rank

#1480

USA Rank

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Mathematics

## Karl Mahlburg's Degrees

- PhD Mathematics Princeton University
- Masters Mathematics Stanford University

## Why Is Karl Mahlburg Influential?

(Suggest an Edit or Addition)According to Wikipedia, Karl Mahlburg is an American mathematician whose research interests lie in the areas of modular forms, partitions, combinatorics and number theory. He is the author of over 40 peer-reviewed journal articles. Mahlburg received his PhD in 2006 from the University of Wisconsin–Madison. Between 2011 and 2021 he was an assistant professor and an associate professor of mathematics at Louisiana State University.

## Karl Mahlburg's Published Works

### Published Works

- The overpartition function modulo small powers of 2 (2004) (96)
- Partition congruences and the Andrews-Garvan-Dyson crank (2005) (76)
- Asymptotic inequalities for positive crank and rank moments (2012) (52)
- An extension of the Hardy-Ramanujan circle method and applications to partitions without sequences (2011) (46)
- Partition Statistics and Quasiharmonic Maass Forms (2009) (41)
- Asymptotics for rank and crank moments (2009) (36)
- Taylor coefficients of mock-Jacobi forms and moments of partition statistics (2014) (35)
- Double series representations for Schur's partition function and related identities (2014) (28)
- Improved bounds on metastability thresholds and probabilities for generalized bootstrap percolation (2010) (27)
- Asymptotic formulas for stacks and unimodal sequences (2013) (25)
- Inequalities between ranks and cranks (2009) (24)
- Partition statistics and quasiweak Maass forms (2008) (23)
- Proofs and reductions of various conjectured partition identities of Kanade and Russell (2018) (22)
- On a Tauberian theorem of Ingham and Euler–Maclaurin summation (2019) (22)
- Quantum modular forms and plumbing graphs of 3-manifolds (2018) (22)
- Higher depth quantum modular forms and plumbed 3-manifolds (2019) (20)
- High density piecewise syndeticity of sumsets (2013) (16)
- Random Approaches to Fibonacci Identities (2000) (16)
- On a Sumset Conjecture of Erdős (2013) (16)
- K-RUN OVERPARTITIONS AND MOCK THETA FUNCTIONS (2012) (16)
- Peak positions of strongly unimodal sequences (2018) (15)
- ON q-DIFFERENCE EQUATIONS FOR PARTITIONS WITHOUT k-SEQUENCES (2013) (14)
- The Asymptotic Distribution of the Rank for Unimodal Sequences (2019) (13)
- Convolution Bootstrap Percolation Models, Markov-type Stochastic Processes, and Mock Theta Functions (2013) (12)
- Enumeration of non-crossing pairings on bit strings (2009) (11)
- Overpartitions with Restricted Odd Differences (2015) (11)
- Distinct Parts Partitions without Sequences (2015) (11)
- False theta functions and companions to Capparelli's identities (2014) (10)
- AN OVERVIEW OF BRAID GROUP CRYPTOGRAPHY (2004) (9)
- Arithmetic of certain hypergeometric modular forms (2004) (9)
- Schur's partition theorem and mixed mock modular forms (2013) (7)
- HIGH DENSITY PIECEWISE SYNDETICITY OF PRODUCT SETS IN AMENABLE GROUPS (2015) (6)
- Asymptotic formulas for coefficients of Kac–Wakimoto Characters (2013) (6)
- Quasimodular forms and sl(m|m)^ characters (2013) (5)
- Proofs and Reductions of Kanade and Russell's partition identities (2018) (5)
- Quasimodular forms and $$s\ell (m|m)^\wedge $$sℓ(m|m)∧ characters (2015) (5)
- Partition Identities and a Theorem of Zagier (2002) (5)
- A partition identity and the universal mock theta function $g_2$ (2013) (5)
- Symmetric Polynomials and Symmetric Mean Inequalities (2013) (4)
- A monad measure space for logarithmic density (2015) (3)
- Progress on a sumset conjecture of Erd\H{o}s (2013) (3)
- On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's $\omega(q)$ (2016) (3)
- Congruences for the Coefficients of Modular Forms and Applications to Number Theory (2006) (3)
- More congruences for the coefficients of quotients of Eisenstein series (2005) (2)
- Approximate Polynomial Structure in Additively Large Sets (2015) (2)
- Correction to: Quasimodular forms and $$s\ell (m\vert m)^{\wedge }$$sℓ(m|m)∧ characters (2018) (1)
- Higher depth quantum modular forms and plumbed 3-manifolds (2020) (1)
- On characters of L𝔰𝔩n(−Λ0)-modules (2019) (1)
- On characters of $L_{\frak{sl}_n}(-\Lambda_0)$-modules (2018) (1)
- QnAs with Karl Mahlburg. Interview by Regina Nuzzo. (2006) (0)
- A monad measure space for logarithmic density (2016) (0)
- High density piecewise syndeticity of sumsets Mauro (2015) (0)
- Three-Colored Partitions and Dilated Companions of Capparelli’s Identities (2016) (0)
- INEQUALITIES BETWEEN RANKS AND CRANKS KATHRIN BRINGMANN AND (2008) (0)
- # A 49 INTEGERS 16 ( 2016 ) APPROXIMATE POLYNOMIAL STRUCTURE IN ADDITIVELY LARGE SETS (2016) (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)
- The Lusztig-Macdonald-Wall polynomial conjectures and q-difference equations (2017) (0)
- HIGH DENSITY PIECEWISE SYNDETICITY (2013) (0)
- MOCK-JACOBI FORMS AND MOMENTS OF PARTITION STATISTICS 3 to provide a combinatorial explanation of Ramanujan ’ s congruences Dyson introduced (2012) (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)
- SYMMETRIC POLYNOMIALS AND A GENERALIZED ARITHMETIC-GEOMETRIC MEAN INEQUALITY (2010) (0)
- On characters of Lsln(−Λ0)-modules (2020) (0)
- Structure Attacks in Cryptographic Protocols (2001) (0)

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## What Schools Are Affiliated With Karl Mahlburg?

Karl Mahlburg is affiliated with the following schools: