Karl Mahlburg


Associate Professor
320 Lockett Hall
Department of Mathematics
Louisiana State University
Baton Rouge, LA 70803
Office Phone: (225) 5781609

email: mahlburg
(at) math (dot) lsu (dot) edu

Last Spring I received two universitywide
awards for teaching, mentoring, and advising (ceremony):
1. LSU Alumni Association
Faculty Excellence Award
2. Tiger Athletic Foundation Teaching Award

Current
Teaching
Fall
2018:
 MATH 7230
Algebraic Number Theory.
 MATH 4345  Special Functions. This course will be
administered online through LSU's Moodle
system. Syllabus
 MATH 3903 Methods of
Problem Solving.
See Curriculum Vitae
page for archived teaching.
Click above for information on undergraduate mathematics
competitions at LSU, including the Putnam Competition and Virginia Tech
Regional Math Contest. Here you can find important dates, information about the
ProblemSolving Seminar (held Wednesday evenings each Fall semester),
large collections of sample practice problems (more than 700 in all!), and
other resources, as well as LSU's historical
performance. Students can earn credit for the ProblemSolving Seminar by
enrolling in MATH 3903 (2 Credit Hours, Pass/Fail).
Recent
Publications and preprints
The
following is a list of publications, submitted articles, and preprints from
(approximately) the past 2 years (Updated Oct. 2018):
 K. Mahlburg,
“Ranks and Cranks”, Encyclopedia of Ramanujan
and His Mathematics, Springer, to appear.
 K. Bringmann,
K. Mahlburg, A. Milas,
“Quantum modular forms and plumbing graphs of 3manifolds”, preprint. arXiv:1810.05612
 K. Bringmann,
C. JenningsShaffer, K. Mahlburg, "Proofs
and reductions of Kanade and Russell’s partition
identities”, preprint. arXiv:1809.06089
 K. Bringmann,
C. JenningsShaffer, K. Mahlburg, R. Rhoades,
"Peak positions of strongly unimodal sequences”, submitted for
publication. arXiv:1806.03217
 K. Bringmann,
K. Mahlburg, A. Milas,
"On characters of $L_{\frak{sl}_n}(\Lambda_0)$modules$, submitted for
publication. arXiv:1803.08029
 K. Bringmann,
C. JenningsShaffer, K. Mahlburg, "On a
modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation
of Ramanujan's $\omega(q)$,"
Advances in Mathematics 325 (2018), 505–532. arXiv:1612.08219 pdf
 K. Bringmann
and K. Mahlburg, "Threecolored partitions
and dilated companions of Capparelli's
identities", Analytic number theory, modular forms, and
qhypergeometric series, 13956, Springer Proc. in Math. and Stat. 221, 2017. pdf
 K. Bringmann, K. Mahlburg, A. Milas,
"The LusztigMacdonaldWall conjectures and
qdifference equations," Lie Algebras, Vertex Operator Algebras,
and Related Topics, p.41–49, Contemporary Mathematics 695,
American Mathematical Society, Providence, R.I. 2017. pdf
 M. Di Nasso, I. Goldbring, R. Jin, S. Leth, M. Lupini, K. Mahlburg, "Approximate polynomial structure in
additively large sets," INTEGERS  Electronic Journal of
Combinatorial Number Theory 16 (2016), Paper No. A49, 11 pp. arXiv:1508.02350 pdf
(Google Scholar profile;
Author link on the arXiv)
See Publications page for full list of 34
refereed publications and 5 preprint(s).
Advising and Students
My research has included projects in Partitions, Basic
Hypergeometric Series, Modular Forms, Number Theory, Combinatorics,
and Probability. For prospective students who might be interested in working
with me, one of the best ways to prepare is to review the material from the
Graduate Topics Courses that I have previously taught:
Current Graduate Students:
 Irfan Alam  Expected Ph.D. 2020
 Shashika Petta
Mestrige  Expected Ph.D. 2020
 Walter Bridges  Expected Ph.D. 2021
Former
Graduate Student:
 Richard Frnka  Ph.D. awarded May 2017
Dissertation: "Asymptotic formulae for unimodal sequences with
congruence relations" ETD link
 (Updated 2018) This is an abridged version. A .pdf copy
of full CV is available on request.
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