Karl Mahlburg
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Associate Professor
320 Lockett Hall
Department of Mathematics
Louisiana State University
Baton Rouge, LA 70803
Office Phone: (225) 578-1609
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e-mail: mahlburg
(at) math (dot) lsu (dot) edu
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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.
Spring
2019:
- Advising and Reading Courses only.
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
Problem-Solving 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 Problem-Solving 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 Feb. 2019):
- 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 3-manifolds”, submitted for
publication. arXiv:1810.05612
- K. Bringmann,
C. Jennings-Shaffer, 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
- K. Bringmann,
C. Jennings-Shaffer, 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. Jennings-Shaffer, 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, "Three-colored partitions
and dilated companions of Capparelli's
identities", Analytic number theory, modular forms, and
q-hypergeometric series, 139-56, Springer Proc. in Math. and Stat. 221, 2017. pdf
- K. Bringmann, K. Mahlburg, A. Milas,
"The Lusztig-Macdonald-Wall conjectures and
q-difference 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 37
refereed journal publications and 1 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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