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), 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. Mahlburg, “Ranks and Cranks”, Encyclopedia of Ramanujan and His Mathematics, Springer, to appear.
• 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

 

Curriculum Vitae

• (Updated 2018) This is an abridged version. A .pdf copy of full CV is available on request.

 

Jump to: Top Teaching Publications 

 

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