Karl Mahlburg

320 Lockett Hall
Department of Mathematics
Louisiana State University
Baton Rouge, LA 70803

Office: (225) 578-1609
Department: (225) 258-1665

e-mail: mahlburg (at) math (dot) lsu (dot) edu
Internet: www.math.lsu.edu/~mahlburg

 


Positions

·         Louisisana State University.

Associate Professor (tenured), 2017 –
Tenure-track Assistant Professor, 2011 – 2017.

·         Mathematical Sciences Research Institute / Princeton University.

National Science Foundation-funded Postdoctoral Fellow /  Visiting Research Fellow Fellow (administered by MSRI), 2009 – 2011.

·         Massachusetts Institute of Technology.

C.L.E. Moore Instructor, 2006 – 09.

Education

·         University of Wisconsin at Madison.

Ph.D.
in Mathematics, 2006
Advisor:  Ken Ono
Thesis: "Congruences for the coefficients of modular forms and applications to number theory."  (pdf)

M.S. in Mathematics, 2003.

·         Harvey Mudd College.
B.S. in Mathematics with Highest Distinction, 2001.
 


Research Interests

  1. The theory of automorphic forms, including modular forms, mock modular forms and harmonic Maass forms;
  2. Applications of automorphic forms to other areas of mathematics, including the theory of partitions and basic hypergeometric series, bootstrap percolation models, affine Lie superalgebras, Markov processes;
  3. Algebraic and finite combinatorics, including graph theory, Catalan-type structures, abelian sandpiles, combinatorial probability
  4. Nonstandard analysis and analytic number theory   

Publications

See Publications page for full list of 34 refereed articles and 4 preprints


Selected Recent Talks, Conferences, and Workshops


Grants and Fellowships

Honors and Awards


Teaching

Directed Research and Advising

·         Ethan Sterling, Directed Research: "The Bounded Thrackle Conjecture", Undergraduate Research Opportunities Program, MIT, Summer 2008.

·         Matthew Garcia, Directed Reading: "An Adelic Approach to Class Field Theory", Undergraduate Research Opportunities Program, MIT, Spring 2008.

·         Alex Arkhipov, Directed Reading/Research: "Combinatorial Partition Theory", Undergraduate Research Opportunities Program, MIT, Summer 2007.

·         Assistant Instructor for UW-Madison Research Experience for Undergraduates, Summer 2005, 2006.

Professional Activities

·         Organizer for Undergraduate Problem-Solving Seminar, LSU, 2011 – .

·         Co-Organizer for Algebra and Number Theory Seminar, LSU, 2011 – 2013.

·         Student member of Graduate Program Committee, UW-Madison, 2005 – 2006.

·         Member of the UW-Madison Teaching Assistant's Association, 2005.

·         Reviewer for the American Mathematical Society Mathematical Reviews Database (15 reviews written).

·         Advances in Mathematics, American Mathematical Monthly, Annals of Combinatorics, Ars Combinatoria, Discrete Mathematics, Electronic Journal of Combinatorics, European Journal of Combinatorics, INTEGERS - Electronic Journal of Combinatorial Number Theory, Journal für die Reine und Angewandte Mathematik, Journal of Combinatorial Theory Series A, Journal of Cryptology, Journal of Integer Sequences, Journal of Number Theory, London Mathematical Society, Mathematical Research Letters, Proceedings of the American Mathematical Society, Proceedings of the National Academy of Sciences, The Ramanujan Journal; (45 total papers refereed).

 


Karl Mahlburg