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
- Louisiana State University.
Associate Professor (tenured),
Tenure-track Assistant Professor, 2011 – 2017.
- Mathematical Sciences Research Institute /
Foundation-funded Postdoctoral Fellow / Visiting Research Fellow
(administered by MSRI), 2009 – 2011.
- Massachusetts Institute of Technology.
C.L.E. Moore Instructor, 2006 –
- University of Wisconsin at Madison.
Ph.D. in Mathematics,
Advisor: Ken Ono
Thesis: "Congruences for the
coefficients of modular forms and applications to number theory."
M.S. in Mathematics, 2003.
- Harvey Mudd College.
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 38 refereed journal articles and 3 preprint(s).
Talks, Conferences, and Workshops
- “Statistics for unimodal
sequences of integers”, Special Session on Partition Theory and Related
Topics, American Mathematical Society Sectional Meeting, University of
Florida, Gainesville, November 2, 2019.
- “The extreme-value
variance estimator”, Louisiana State University Health Sciences Center,
Biostatistics Colloquium, October 28, 2019.
- “Characters of affine
Lie Algebras and Sum-Product identities”, Hong Kong Number Theory Days,
July 16, 2019.
- “Quantum Invariants and
Quantum Modularity”, Hong Kong Number Theory Days, July 9, 2019.
- “Sum-product identities,
partition identities, and affine Lie algebras”, Seminar, Research
Institute for Symbolic Computation, January 30, 2019.
- “Statistics for unimodal
sequences”, SFB Colloquium, Research Institute for Symbolic Computation,
January 29, 2019.
- "Quantum dimensions
and characters for vertex operator algebras", Conference on Modular
Forms and Related Topics, American University of Beirut, May 28, 2018.
- "Asymptotic 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,
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.
- 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 (Class Field
Theory), LSU, Fall
- MATH 7230 (Algebraic
Number Theory), LSU, Fall 2018.
- MATH 4345 (Special Functions),
LSU, Fall 2018 Fall 2019.
- 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
- 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 Fall 2019.
- 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.
and Directed Reading
Roberts, Directed Reading: “Algebraic Geometry”, LSU, Spring
Directed Reading: “Analytic Number Theory”, LSU, Fall 2018.
Ayton, Abel Lopez, Connor Sanford, Aubrey Stewart, Richard
Tuminello: Submitted solutions to Problems in The American Mathematical Monthly, MATH 3903, LSU, Spring 2018.
Derek Walker, Directed
Reading: “Elementary Number Theory”, LSU, Spring 2015
Paxton Turner, Directed Reading: "Partitions,
q-series, and Analytic Techniques in Number Theory", LSU, Fall 2013.
Sterling, Directed Research: "The Bounded Thrackle
Conjecture", Undergraduate Research Opportunities Program, MIT, Summer
Garcia, Directed Reading: "An Adelic Approach to
Class Field Theory", Undergraduate Research Opportunities Program, MIT,
Arkhipov, Directed Reading/Research: "Combinatorial
Partition Theory", Undergraduate Research Opportunities Program, MIT, Summer 2007.
Instructor for UW-Madison Research Experience for Undergraduates, Summer 2005, 2006.
- Co-Organizer for
Number Theory Conference, held at LSU, Apr. 13–14, 2019.
- Co-Organizer and Co-PI
for Conference: Southern
Number Theory Conference, held at LSU, Apr. 8–9, 2017.
- Co-Organizer and Co-PI
for Conference: Applications of
Automorphic Forms in Number Theory and Combinatorics,
held at LSU, Apr. 12–15, 2014.
- Departmental Committees at
LSU: Internal Review Committee (2012 – 2013); Executive Committee (2012 –
2013, 2015 – 2016);
- Organizer for Undergraduate
Problem-Solving Seminar, LSU, 2011 – .
- Co-Organizer for Algebra and Number Theory
Seminar, LSU, 2011 – 2013.
- Member of The American
Mathematical Society, 2002 – .
- Member of the
Mathematical Association of America, 2018 – .
- Referee work for: Advances in Mathematics;
American Mathematical Monthly; Annals of Combinatorics;
Ars Combinatoria; Arxiv der Mathematik;
Colloquium Mathematicum; Discrete Mathematics;
Electronic Journal of Combinatorics; European
Journal of Combinatorics; Forum of Mathmematics, Sigma; INTEGERS - Electronic Journal of
Combinatorial Number Theory; International Journal of 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; Journal of the London
Mathematical Society; Mathematical
Proceedings of the Cambridge Philosophical Society; Mathematical Research
Letters; Proceedings of the American Mathematical Society; Proceedings of
the National Academy of Sciences; The Ramanujan
Journal; Springer Conference Proceedings in Mathematics (51 total papers
- Grant Reviews for:
National Science Foundation, National Security Agency; (5 grants reviewed).
- Reviewer for the American Mathematical Society Mathematical Reviews Database
(15 reviews written).
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