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
Associate Professor (tenured), 2017 –
Tenure-track Assistant Professor, 2011 – 2017.
Mathematical Sciences Research Institute /
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.
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.
B.S. in Mathematics with Highest Distinction, 2001.
- The theory of automorphic forms, including modular
forms, mock modular forms and harmonic Maass
- Applications of automorphic forms to other areas of
mathematics, including the theory of partitions and basic hypergeometric
series, bootstrap percolation models, affine Lie superalgebras,
- Algebraic and finite combinatorics,
including graph theory, Catalan-type structures, abelian sandpiles, combinatorial probability
- Nonstandard analysis and analytic number
See Publications page for full
list of 34 refereed articles and 4 preprints
Talks, Conferences, and Workshops
- "Quantum dimensions
and characters for vertex operator algebras", Conference on Modular
Forms and Related Topics, American University of Beirut, May 28, 2018.
analysis of partial theta functions", Special Session on
Real-Analytic Automorphic Forms, American Mathematical Society Sectional
Meeting, University of North Texas, Denton, September 9, 2017.
- Nonstandard Methods in
Combinatorial Number Theory, Workshop, American Institute of Mathematics,
August 14--18, 2017.
- Recent Developments in
Analytic Number Theory, Workshop, Mathematical Sciences Research
Institute, May 1--5, 2017.
- "Alladi's work on Schur's
second partition theorem and universal mock theta functions", Alladi 60 Conference, University of Florida, March 20,
- "Classical partition
identities and automorphic forms. I. Introduction to classical partition
identities. II. Automorphic properties. III. Additional
discussion." Number Theory Seminar, Korea Institute for
Advanced Study, July 6--8, 2015.
behavior of distinct parts partitions without sequences," Special
Session on Partitions, $q$-series, and modular forms, AMS/MAA Joint
Meetings, San Antonio, January 10, 2015.
formulas for unimodal sequences", Colloquium, College of Charleston,
September 12, 2014.
- "Analytic and
Combinatorial study of Schur's Second Partition
Theorem", Combinatorics Seminar, University
of Minnesota, May 2, 2014.
- "Inequalities for
positive crank and rank moments", Delegate speaker, Legacy of Ramanujan Conference, University of Delhi, India,
December 19, 2012.
- Louisiana Board of
Regents Enhancement Grant 04MATH-14 (co-PI), 2014 – 2016. PI:
- NSF Conference Grant DMS-1363265
(Co-PI), 2014. PI: Ling Long, LSU.
- NSF Individual Research
2012 – 2015.
- Louisiana State
University Council on Research Summer Stipend, 2012.
- Humboldt Foundation Foreign Research Fellowship, 2010 – 2012.
- NSA Young Investigator Grant (PI), 2008 – 2010.
- Clay Math Foundation Liftoff Fellow, 2006.
for National Science Foundation Postdoctoral Research Fellowship,
- National Science Foundation Graduate Research
Fellowship, 2002 – 2005.
Honors and Awards
- LSU Alumni Association Faculty
Excellence Award, 2018
Recognizes outstanding teaching, research, and service; 4 awards given
- Tiger Athletic Foundation Undergraduate Teaching
PNAS Paper of the Year Award, presented at the National Academy of
- MATH 7230 (Algebraic
Number Theory), LSU, Fall 2018.
- MATH 4345 (Special
Functions), LSU, Fall 2018.
- MATH 7230 (Partitions,
Hypergeometric q-series, and Modular Forms), LSU, Fall 2017.
- MATH 4158 (Foundations of Mathematics), LSU, Fall
2016 Fall 2017.
- MATH 4200 (Abstract
Algebra I), LSU, Fall 2015.
- MATH 7230 (Analytic Number
Theory), LSU, Spring
2014 Spring 2018.
- MATH 7210 (Algebra I),
LSU, Fall 2013 Fall 2014 Fall 2015.
- MATH 3903 (Methods of
Problem Solving), LSU, Fall 2013 Fall 2014 Fall 2015 Fall 2016 Fall 2017 Spring 2018 Fall 2018.
- MATH 7290 (Elliptic
Curves and Modular Forms), LSU, Spring 2013.
- MATH 3355 (Probability),
LSU, Fall 2012 Fall 2017.
- MATH 2020 (Solving Discrete Problems), LSU, Fall
2011 Fall 2012.
- MATH 4181 (Elementary Number Theory), LSU, Fall
18.01 (Single Variable Calculus), MIT, Spring 2009.
18.781 (Introduction to the Theory of Numbers), MIT, Fall 2008.
18.786 (Algebraic Number Theory), MIT, Spring 2008.
18.02 (Multivariable Calculus) Recitations, MIT, Fall 2007.
18.02A (Multivariable Calculus), MIT, Spring 2007.
18.01A/18.02A (Calculus) Recitations, MIT, Fall
217 Recitations (Calculus with Algebra and Trigonometry II), UW-Madison, Spring 2005.
171 Recitations (Calculus with Algebra and Trigonometry I), UW-Madison, Fall 2004.
- Paxton Turner, Directed Reading: "Partitions,
q-series, and Analytic Techniques in Number Theory", LSU, Fall 2013.
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.
Directed Reading/Research: "Combinatorial Partition Theory",
Undergraduate Research Opportunities Program, MIT, Summer
Assistant Instructor for UW-Madison Research
Experience for Undergraduates, Summer 2005, 2006.
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 American
Mathematical Society, 2003 – .
- Member of the Mathematical Association of America, 2018
Member of the UW-Madison Teaching Assistant's
Reviewer for the American Mathematical Society Mathematical Reviews Database (15
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).