See Curriculum Vitae page for archived teaching materials.

2011 – 2019 Undergraduate Problem-Solving Seminar  

From 2011 – 2019 I was the faculty organizer for undergraduate mathematics competitions at LSU, including the Putnam Competition and Virginia Tech Regional Math Contest. These pages contain information about the Problem-Solving Seminar, large collections of practice problems (more than 900 in all!), and other resources, as well as LSU's historical performance.

Selected Publications and preprints   (Link to complete Publications page)

Ten notable publications:

• K. Bringmann, C. Jennings-Shaffer, K. Mahlburg, “The Asymptotic Distribution of the Rank for Unimodal Sequences”, Journal of Number Theory 229 (2021), 444-462. arXiv:1910.10790
• K. Bringmann, K. Mahlburg, A. Milas, “Quantum modular forms and plumbing graphs of 3-manifolds”, Journal of Combinatorial Series (A) 170 (2020), 105145, 32 pp. arXiv:1810.05612  pdf
• K. Bringmann, C. Jennings-Shaffer, K. Mahlburg, "Proofs and reductions of various conjectured partition identities of Kanade and Russell”, Journal für die reine und angewandte Mathematik (Crelle’s Journal) 766 (2020), 109-135. 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
• G. Andrews, K. Bringmann, K. Mahlburg, "Double series representation for Schur's partition function and related identities", Journal of Combinatorial Theory (A) 132 (2015), 102–119. arXiv:1405.3345  pdf
  
  
• M. Di Nasso, I. Goldbring, R. Jin, S. Leth, M. Lupini, K. Mahlburg, "High density piecewise syndeticity of sumsets", Advances in Mathematics 278 (2015), 1–33. arXiv:1310.5729  pdf
  
  
• M. Di Nasso, I. Goldbring, R. Jin, S. Leth, M. Lupini, K. Mahlburg, "On a sumset conjecture of Erdös", Canadian Journal of Mathematics 67 (2015), 795–809. arXiv:1307.0767 pdf
  
  
• K. Bringmann, K. Mahlburg, "Asymptotic inequalities for positive crank and rank moments", Transactions of the American Mathematical Society 366 (2014), 1073–1094. arXiv:1205.2155  pdf
• T. Kemp, K. Mahlburg, A. Rattan, C. Smyth, "Enumeration of noncrossing pairings on bit strings", Journal of Combinatorial Theory (A) 118 (2011), 129–151. arXiv:0906.2183  pdf
  
  
• K. Mahlburg, "Partition congruences and the Andrews-Garvan-Dyson crank," Proceedings of the National Academy of Sciences 102 (2005), no. 43, 15373–76. pdf
  
  
  

 (Google Scholar profile;  Author link on the arXiv)

See Publications page for full list of 41 refereed journal publications and 0 preprint(s), as well as other writing.

 

Advising and Students

My research included projects in Partitions, Basic Hypergeometric Series, Modular Forms, Number Theory, Combinatorics, and Probability. The following webpages for previous Graduate Topics Courses contain many useful references and lengthy collections of in-depth homework problems.

Former Graduate Students:

• Shashika Petta Mestrige – Ph.D. 2021 awarded December 2021.
  Dissertation: “Congruences Between Coefficients of a Class of Eta-Quotients and their Applications to Combinatorics”. LSU Digital Commons
  
  First Position after Ph.D.: Assistant Professor, Vermont Technical College
• Irfan Alam – Ph.D. awarded August 2021.
  Dissertation: “Applications of Nonstandard Analysis in Probability and Measure Theory”. LSU Digital Commons
  
  First Position after Ph.D.: Hans Rademacher Instructor, University of Pennsylvania
• Walter Bridges – Ph.D. awarded August 2020.
  Dissertation: “Combinatorial and Asymptotic Statistical Properties of Partitions and Unimodal Sequences and Unimodal Sequences”. LSU Digital Commons
  
  First Position after Ph.D.: Postdoctoral Researcher, University of Cologne, Germany
  
  
• Richard Frnka - Ph.D. awarded May 2017
  Dissertation: "Asymptotic formulae for unimodal sequences with congruence relations". LSU Digital Commons
  
  First Position after Ph.D.: 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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