Karl Mahlburg320 Lockett Hall |
Office: (225) 578-1609 |
Louisisana State University.
Associate Professor,
2017 –
Tenure-track Assistant
Professor, 2011 – 2017.
Mathematical Sciences Research
Institute / Princeton University.
National Science
Foundation-funded Postdoctoral Fellow / Visiting
Research Fellow Fellow (administered by MSRI), 2009
– 2011.
Massachusetts Institute of Technology.
C.L.E. Moore Instructor,
2006 – 09.
University of Wisconsin at Madison.
Ph.D. in Mathematics, 2006
Advisor: Ken
Ono
Thesis: "Congruences for the coefficients of modular forms
and applications to number theory." (pdf)
M.S. in Mathematics, 2003.
Harvey Mudd College.
B.S. in Mathematics with Highest Distinction, 2001.
[23] | K. Bringmann, J. Lovejoy, K. Mahlburg, "A partition identity and the universal mock theta functions $g_2$", to appear in Mathematical Research Letters. |
[22] | K. Bringmann, K. Mahlburg,
"Asymptotic formulas for stacks and unimodal sequences", Journal of Combinatorial
Theory (A) 126 (2014),
194–215. arXiv
pdf
ps |
[21] | M. Di Nasso, I. Goldbring, R.
Jin, S. Leth, M. Lupini, K. Mahlburg, "Progress on a sumset
conjecture of Erdös", Canadian Journal of
Mathematics, dx.doi.org/10.4153/CJM-2014-016-0. arXiv pdf ps |
[20] | K. Bringmann, J. Lovejoy, K.
Mahlburg, "On q-difference equations for partitions without
k-sequences", Proceedings of The Legacy of Ramanujan
Conference, Ramanujan Mathematical Society Lecture Notes 20, 2013, pp. 129–137. pdf ps |
[19] | K. Mahlburg, C. Smyth, "Symmetric polynomials and symmetric mean inequalities" , Electronic Journal of Combinatorics 20 (2013), P34, 14 pp. pdf ps |
[18] | K. Bringmann, A. Folsom, K. Mahlburg, "Quasimodular forms and $s\ell(m|m)^\wedge$ characters", to appear in the Ramanujan Journal, special volume in honor of Basil Gordon. (pdf ps) |
[17] | K. Bringmann, K. Mahlburg, "Asymptotic inequalities for positive crank and rank moments", Transactions of the American Mathematical Society 366 (2014), 1073–1094. arXiv pdf ps |
[16] | K. Bringmann, K. Mahlburg, "Asymptotic formulas for coefficients of
Kac-Wakimoto characters", Mathematical Proceedings of the Cambridge
Philosophical Society 155 (2013), 51 - 72. pdf ps |
[15] | K. Bringmann, K. Mahlburg, R. Rhoades, "Taylor coefficients of mock-Jacobi forms and moments of partition statistics", Mathematical Proceedings of the Cambridge Philosophical Society, 157 (2014), 231–251. pdf ps |
[14] | K. Bringmann, A. Holroyd, K. Mahlburg, M. Vlasenko, "k-run overpartitions and mock theta functions", Quarterly Journal of Mathematics (2013), 64 (2013), 1009–1021. doi:10.1093/qmath/has019. arXiv pdf ps |
[13] | K. Bringmann, K. Mahlburg, A. Mellit, "Convolution bootstrap percolation models, Markov-type stochastic processes, and mock theta functions", International Mathematics Research Notices 2013; 971–1013. pdf ps |
[12] |
K. Bringmann, K. Mahlburg, "Improved bounds on metastability thresholds and probabilities for generalized bootstrap percolation", Transactions of the American Mathematical Society 364 (2012), 3829–3859. arXiv pdf ps |
[11] |
K. Bringmann, K. Mahlburg, R. Rhoades, "Asymptotics for crank and rank moments", Bulletin of the London Mathematical Society 43 (2011), 661–672. arXiv pdf ps |
[10] |
T. Kemp, K. Mahlburg, A. Rattan, C. Smyth, "Enumeration of noncrossing pairings on bit strings", Journal of Combinatorial Theory (A) 118 (2011), 129–151. arXiv pdf |
[9] |
K. Bringmann, K. Mahlburg, "A generalization of the Hardy-Ramanujan circle method and applications to partitions without sequences", American Journal of Mathematics 133 (2011), 1151–1178. pdf ps |
[8] |
K. Bringmann, K. Mahlburg, "Inequalities between crank and rank moments", Proc. Amer. Math. Soc. 137 (2009), no. 8, 2567–2574. pdf ps |
[7] |
K. Bringmann, F. Garvan, K. Mahlburg, "Partition statistics and quasiharmonic Maass forms", Int. Math. Res. Not., 2009, no. 1, 63–97. arXiv pdf ps |
[6] |
K. Mahlburg, "Partition congruences and the Andrews-Garvan-Dyson crank," Proceedings of the National Academy of Sciences 102 (2005), no. 43, 15373–76. pdf ps |
[5] |
K. Mahlburg, "More congruences for the coefficients of quotients of Eisenstein series,' Journal of Number Theory 115 (2005), no. 1, 89–99. pdf ps |
[4] |
K. Mahlburg, 'The overpartition function modulo small powers of 2,' Discrete Mathematics 286 (2004), no. 3, 263–267. pdf ps |
[3] |
K. Mahlburg, K. Ono, "Arithmetic of certain hypergeometric modular forms," Acta Arithmetica 113 (2004), no. 1, 39–55. pdf ps |
[2] |
J. Getz, K. Mahlburg, "Partition identities and a theorem of Zagier," Journal of Combinatorial Theory (A) 100 (2002), 27–43. pdf ps |
[1] |
A. Benjamin, G. Levin, K. Mahlburg, J. Quinn, "Random approaches to Fibonacci identities," The American Mathematical Monthly 107 (2000), 511–16. |
"Noncrossing partitions and general Catalan objects", Colloquium, University of Talca, Chile, December 9, 2010.
“Partitions, probability, and percolation”, Prospects in q-series and modular forms Conference, University College, Dublin, Ireland, July 14, 2010.
“Asymptotics for crank and rank moments”, International Conference on number theory and mock theta functions, SASTRA University, Kumbakonam, India, December 22, 2009.
"The arithmetic of the coefficients of automorphic forms and applications in number theory", Colloquium, University of Talca, Chile, March 3, 2009.
"Modular forms in number theory," Mathematics Colloquium, Harvey Mudd College, December 7, 2006.
"The Andrews-Garvan-Dyson crank and partition congruences," Colloquium, Temple University, January 23th, 2006.
"The Andrews-Garvan-Dyson crank and partition congruences," Plenary address, International Conference on Number Theory and Mathematical Physics and SASTRA Ramanujan Award Presentation, Kumbakonum, India, December 20-22, 2005.
"Mock modular forms and coefficient asymptotics for characters of affine Lie superalgebras", First International Meeting of the American Mathematical Society and the Socidedad de Matematica de Chile, Universidad of Frontera, Pucón, Chile, Dec. 17, 2010.
"q-series, a mock theta function, and probability", Number Theory Seminar, Max Planck Institue, Bonn, July 28, 2010.
“Percolation, Probability, and Partitions”, Research Seminar, Microsoft Research Theory Group, Seattle, May 13, 2010.
"Mock theta functions, q-series, combinatorial probability, and percolation models", Algebra Seminar, Emory University, February 4, 2010.
"Asymptotics for crank and rank moments", International Conference on mock theta functions and applications in combinatorics, algebraic geometry, and mathematical physics, Max Planck Mathematical Institute, May 26, 2009.
"Asymptotics for crank and rank moments", Number Theory Seminar, Johns Hopkins University, April 14, 2009.
"Arithmetic of the coefficients of automorphic forms", Number Theory Seminar, Princeton University, October 23, 2008.
"Asymptotics for partitions without sequences," Quebec-Vermont Number Theory Seminar, McGill University, April 17, 2008.
"Partitions statistics and weak Maass forms," Number Theory Seminar, Massachusetts Institute of Technology, October 11, 2007.
"Durfee symbol congruences and higher rank moments," Combinatorics Seminar, Pennsylvania State University, August 22, 2007.
"The Andrews-Garvan-Dyson crank and partition congruences," Algebra Seminar, Massachusetts Institute of Technology, October 11, 2006.
"The Andrews-Garvan crank and partition congruences," Joint Combinatorics and Number Theory Seminar, Ohio State University, May 11th, 2005.
"The Andrews-Garvan crank and partition congruences," Combinatorics Seminar, University of Pennsylvania, March 29th, 2005.
"Cranks revisited and higher partition congruences," Special Year in Mathematics Additive Number Theory Conference, University of Florida, Gainesville, November 2004.
"Partition identities and a theorem of Zagier," Combinatorics Seminar, University of Wisconsin-Madison, Spring 2002.
Humboldt Foundation Foreign Research Fellowship, 2010 – 2012.
NSA Young Investigator Grant (PI), 2008 – 2010.
Clay Math Foundation Liftoff Program, 2006.
Recommended for National Science Foundation Postdoctoral Research Fellowship, 2006.
National Science Foundation VIGRE Fellowship, 2001 – 02, 2005 – 2006.
National Science Foundation Graduate Research Fellowship, 2002 – 2005.
Inaugural PNAS Paper of the Year Award, presented at the National Academy of Sciences, 2006.
Excellence in Mathematical Research Award, University of Wisconsin Mathematics Department, 2005.
Math 18.01 (Single Variable Calculus), MIT, Spring 2009.
Math 18.781 (Introduction to the Theory of Numbers), MIT, Fall 2008.
Math 18.786 (Algebraic Number Theory), MIT, Spring 2008.
Math 18.02 (Multivariable Calculus) Recitations, MIT, Fall 2007.
Math 18.02A (Multivariable Calculus), MIT, Spring 2007.
Math 18.01A/18.02A (Calculus) Recitations, MIT, Fall 2006.
Math 217 Recitations (Calculus with Algebra and Trigonometry II), UW-Madison, Spring 2005.
Math 171 Recitations (Calculus with Algebra and Trigonometry I), UW-Madison, Fall 2004.
Ethan Sterling, Directed Research: "The Bounded Thrackle Conjecture", Undergraduate Research Opportunities Program, MIT, Summer 2008.
Matthew Garcia, Directed Reading: "An Adelic Approach to Class Field Theory", Undergraduate Research Opportunities Program, MIT, Spring 2008.
Alex Arkhipov, Directed Reading/Research: "Combinatorial Partition Theory", Undergraduate Research Opportunities Program, MIT, Summer 2007.
Assistant Instructor for UW-Madison Research Experience for Undergraduates, Summer 2005, 2006.
Co-Organizer for Putnam Examination Problem Sessions, LSU, 2011 – .
Co-Organizer for Algebra and Number Theory Seminar, LSU, 2011 – .
Student member of Graduate Program Committee, UW-Madison, 2005 – 2006.
Member of The American Mathematical Society, 2003 – .
Member of the UW-Madison Teaching Assistant's Association, 2005.
Reviewer for the American
Mathematical Society Mathematical
Reviews Database (15 reviews written).
Advances in Mathematics, American Mathematical Monthly, Annals of Combinatorics, Ars Combinatoria, Discrete Mathematics, Electronic Journal of Combinatorics, European Journal of Combinatorics, INTEGERS - Electronic Journal of Combinatorial Number Theory, Journal für die Reine und Angewandte Mathematik, Journal of Combinatorial Theory Series A, Journal of Cryptology, Journal of Integer Sequences, Journal of Number Theory, London Mathematical Society, Mathematical Research Letters, Proceedings of the American Mathematical Society, Proceedings of the National Academy of Sciences, The Ramanujan Journal; (33 total papers refereed).