Karl Mahlburg - Louisiana State University

Karl Mahlburg
Associate Professor 320 Lockett Hall Department of Mathematics Louisiana State University Baton Rouge, LA 70803 Office Phone: (225) 578-1609

e-mail: mahlburg (at) math (dot) lsu (dot) edu

Last Spring I received two university-wide awards for teaching, mentoring, and advising (ceremony link):

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.

Undergraduate Problem-Solving Seminar and MATH 3903

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), collections of sample practice problems and other resources, and 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 1-2 years (Updated June 2018):

K. Bringmann, C. Jennings-Shaffer, K. Mahlburg, R. Rhoades, "Peak positions of strongly unimodal sequences, submitted for publication. arXiv
K. Bringmann, K. Mahlburg, A. Milas, "On characters of $L_{\frak{sl}_n}(-\Lambda_0)$-modules$, submitted for publication. arXiv
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 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 pdf
M. Di Nasso, I. Goldbring, R. Jin, S. Leth, M. Lupini, K. Mahlburg, "High density piecewise syndeticity of product sets in amenable groups," Journal of Symbolic Logic 81 (2016), 1555–1562. arXiv pdf

(Google Scholar profile; Author link on the arXiv)

See Publications page for full list of 34 refereed publications and 3 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 graduate Topics Courses that I have previously taught:

Algebraic Number Theory	Fall 2018
Partitions and Hypergeometric q-series	Fall 2017
Analytic Number Theory	Spring 2014 Spring 2018.
Modular Forms and Elliptic Curves	Spring 2013

Current and Former Graduate Students:

Irfan Alam - Expected Ph.D. 2019
Shashika Petta Mestrige - Expected Ph.D. 2020
Walter Bridges - Expected Ph.D. 2021

Former Graduate Students:

Richard Frnka - Ph.D. awarded May 2017
Dissertation: "Asymptotic formulae for unimodal sequences with congruence relations" ETD link

Curriculum Vitae

Updated 2016

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