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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Last Spring I received two university-wide
awards for teaching, mentoring, and advising (ceremony):
1. LSU Alumni Association
Faculty Excellence Award
2. Tiger Athletic Foundation Teaching Award
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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.
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
The
following is a list of publications, submitted articles, and preprints from
(approximately) the past 2 years (Updated Oct. 2018):
- K. Bringmann,
K. Mahlburg, A. Milas,
“Quantum modular forms and plumbing graphs of 3-manifolds”, preprint. arXiv:1810.05612
- K. Bringmann,
C. Jennings-Shaffer, K. Mahlburg, "Proofs
and reductions of Kanade and Russell’s partition
identities”, preprint. arXiv:1809.06089
- K. Bringmann,
C. Jennings-Shaffer, 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. 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 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
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