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

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Current Teaching

Spring 2018:

MATH 7230 Analytic Number Theory.
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 April 2018):

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, 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
K. Bringmann, J. Lovejoy, K. Mahlburg, "A partition identity and the universal mock theta functions $g_2$", Mathematical Research Letters 23 (2016), 67–80. arXiv pdf

(Google Scholar profile; Author link on the arXiv)

See Publications page for full list of 33 refereed publications and 2 preprint(s).

Students

Current Graduate Students:

Richard Frnka - Ph.D. awarded May 2017
Dissertation: "Asymptotic formulae for unimodal sequences with congruence relations" ETD link
Irfan Alam - Expected Ph.D. 2019
Shashika Petta Mestrige - Expected Ph.D. 2020

Curriculum Vitae

Updated 2016

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