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

Current
Teaching
Fall
2019:
 MATH 7230 –
Class Field 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 800 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 (Link to full Publications
page)
The
following is a list of publications, submitted articles, and preprints from
(approximately) the past 2 years (Updated Oct. 2019):
 K. Bringmann,
C. JenningsShaffer, K. Mahlburg, “On a Tauberian theorem of Ingham and EulerMaclaurin
Summation”, preprint. arXiv:1910.03036
 K. Bringmann,
K. Mahlburg, A. Milas,
“Higher depth quantum modular forms and plumbed 3manifolds”, submitted
for publication. arXiv:1906.10722
 K. Mahlburg,
“Ranks and Cranks”, to appear in the Encyclopedia of Ramanujan
and His Mathematics, Springer.
 K. Bringmann,
K. Mahlburg, A. Milas,
“Quantum modular forms and plumbing graphs of 3manifolds”, to appear in Journal of Combinatorial Series (A).
arXiv:1810.05612 pdf
 K. Bringmann,
C. JenningsShaffer, K. Mahlburg, "Proofs
and reductions of various conjectured partition identities of Kanade and Russell”, to appear in Journal für die reine
und angewandte Mathematik
(Crelle’s Journal). arXiv:1809.06089 pdf
 K. Bringmann,
C. JenningsShaffer, K. Mahlburg, R. Rhoades,
"Peak positions of strongly unimodal sequences”, to
appear in Transactions of the
American Mathematical Society. arXiv:1806.03217 pdf
 K. Bringmann,
K. Mahlburg, A. Milas,
"On characters of $L_{\frak{sl}_n}(\Lambda_0)$modules$,” to
appear in Communications in
Contemporary Mathematics. arXiv:1803.08029 pdf
 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
(Google
Scholar profile; Author link on the arXiv)
See Publications page for full list of 38
refereed journal publications and 2 preprint(s),
as well as other writing.
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 (including
the lengthy collections of homework problems) from the Graduate Topics Courses
that I have previously taught:
Current Graduate Students:
Former
Graduate Student:
 Richard Frnka  Ph.D. awarded May 2017
Dissertation: "Asymptotic formulae for unimodal sequences with
congruence relations" ETD link
Current Employment: Chief Technical Officer at CleverSolve
(Updated 2019) The link above
is an abridged .html version. A .pdf copy of full CV is available on request.
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