Current Teaching

Spring 2020:

·         None (Advising and Reading Courses only).

Fall 2019:

• MATH 7230 - Class Field 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 practice problems (more than 900 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).  

MATH 3903 was also held in a different format in Spring 2018, with the goal of students gaining research experience through submitting and publishing solutions to problems in mathematics journals. See the course webpage for 3 published submissions from LSU undergraduates.

Recent Publications and preprints   (Link to complete Publications page)

The following is a list of publications, submitted articles, and preprints from (approximately) the past 2 years (Updated Oct. 2019):

• K. Bringmann, C. Jennings-Shaffer, K. Mahlburg, “The Asymptotic Distribution of the Rank for Unimodal Sequences”, preprint. arXiv:1910.10790
• K. Bringmann, C. Jennings-Shaffer, K. Mahlburg, “On a Tauberian theorem of Ingham and Euler-Maclaurin Summation”, preprint. arXiv:1910.03036
• K. Bringmann, K. Mahlburg, A. Milas, “Higher depth quantum modular forms and plumbed 3-manifolds”, submitted for publication. arXiv:1906.10722
• 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”, to appear in Journal of Combinatorial Series (A) 170 (2020). arXiv:1810.05612  pdf
• 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  pdf
• K. Bringmann, C. Jennings-Shaffer, K. Mahlburg, R. Rhoades, "Peak positions of strongly unimodal sequences”, Transactions of the American Mathematical Society 273 (2019), 7087-7019. 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

(Google Scholar profile;  Author link on the arXiv)

See Publications page for full list of 38 refereed journal publications and 3 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 in-depth homework problems) from the Graduate Topics Courses that I have previously taught:

Current Graduate Students:

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

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

 

Curriculum Vitae

(Updated 2019) The link above is an abridged .html version. A .pdf copy of full CV is available on request.

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