Curriculum Vitae

Karl Mahlburg

2-308 Massachusetts Institute of Technology
Department of Mathematics
77 Massachusetts Avenue
Cambridge, MA 02139-4307

Office: (617) 324-1507
Department Fax: (617) 253-4358

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

Positions

Massachusetts Institute of Technology.

C.L.E. Moore Instructorship

Education

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." (pdf)

M.S. in Mathematics, 2003.

Harvey Mudd College.

B.S. in Mathematics

Research Interests

Modular Forms
Partitions

Combinatorics
Number Theory

Publications


[7]	K. Bringmann, F. Garvan, K. Mahlburg, "Marked Durfee symbols and higher rank moments", in preparation.
[6]	K. Mahlburg, "Partition congruences and the Andrews-Garvan-Dyson crank," Proceedings of the National Academy of Sciences 102 (2005), no. 43, 15373--76. (dvi pdf ps)
[5]	K. Mahlburg, "More congruences for the coefficients of quotients of Eisenstein series,' Journal of Number Theory 115 (2005), no. 1, 89--99. (dvi pdf ps)
[4]	K. Mahlburg, 'The overpartition function modulo small powers of 2,' Discrete Mathematics 286 (2004), no. 3, 263--267. (dvi pdf ps)
[3]	K. Mahlburg, K. Ono, "Arithmetic of certain hypergeometric modular forms," Acta Arithmetica 113 (2004), no. 1, 39--55. (dvi pdf ps)
[2]	J. Getz, K. Mahlburg, "Partition identities and a theorem of Zagier," Journal of Combinatorial Theory (A) 100 (2002), 27--43. (dvi pdf ps)
[1]	A. Benjamin, G. Levin, K. Mahlburg, J. Quinn, "Random approaches to Fibonacci identities," The American Mathematical Monthly 107 (2000), 511--16.

Invited Talks and Seminars

"Partitions statistics and weak Maass forms," Number Theory Seminar, M.I.T., October 11, 2007.
"Durfee symbol congruences and higher rank moments," Combinatorics Seminar, Pennsylvania State University, August 22, 2007.
"Maass forms and generalizations of Dyson's rank," Illinois Number Theory Fest, University of Illinois, May 16--20, 2007.
"Maass forms and generalizations of Dyson's rank," Number Theory Seminar, Johns Hopkins University, January 31, 2007.
"Modular forms in number theory," (ppt) Mathematics Colloquium, Harvey Mudd College, December 7, 2006.
"The Andrews-Garvan-Dyson crank and partition congruences," Algebra Seminar, Boston University, October 30, 2006.
"The Andrews-Garvan-Dyson crank and partition congruences," Algebra Seminar, Massachusetts Institute of Technology, October 11, 2006.
"The Andrews-Garvan-Dyson crank and partition congruences," Colloquium, Temple University, January 23th, 2006.
"The Andrews-Garvan-Dyson crank and partition congruences," Plenary address, International Conference on Number Theory and Mathematical Physics and SASTRA Ramanujan Award Presentation, Kumbakonum, India, December 20-22, 2005.
"The Andrews-Garvan crank and partition congruences," Algebra Seminar, SUNY-Buffalo, October 11th, 2005.
Special Colloquium Series Speaker at the Research Experience for Undergraduates in computational number theory and combinatorics, Clemson University, June 8--11, 2005
"The Andrews-Garvan crank and partition congruences," Joint Combinatorics and Number Theory Seminar, Ohio State University, May 11th, 2005.
"The Andrews-Garvan crank and partition congruences," Combinatorics/Algebra Seminar, Iowa State University, April 4th, 2005.
"The Andrews-Garvan crank and partition congruences," Combinatorics Seminar, University of Minnesota-Minneapolis, April 1st, 2005.
"The Andrews-Garvan crank and partition congruences," Combinatorics Seminar, University of Pennsylvania, March 29th, 2005.

Contributed Talks

"The Andrews-Garvan-Dyson crank and partition congruences", Special Session on Q-Series and Partitions, AMS Sectional Meeting, San Francisco State University, April 29-30, 2006.
"Cranks revisited and higher partition congruences," Midwest Number Theory Conference for Graduate Students and Recent Ph.D.'s II, University of Illinois , Urbana-Champaign, February 2005.
"Cranks revisited and higher partition congruences," Special Year in Mathematics Additive Number Theory Conference, University of Florida, Gainesville, November 2004.
"Cranks revisited and higher partition congruences," Combinatorics Seminar, University of Wisconsin-Madison, Fall 2004.
"Arithmetic of Certain Hypergeometric Modular Forms," Canadian Number Theory Association Meeting VIII, Toronto, June 2004.
"Partition identities and a theorem of Zagier," Integers Conference, Carrollton, Georgia, November 2003.
"Partition identities and a theorem of Zagier," Midwest Number Theory Conference for Graduate Students and Recent PhDs, Madison, Wisconsin, October 2003.
"Partition identities and a theorem of Zagier," AMS Special Session on Q-Series in Number Theory and Combinatorics, AMS Regional Meeting, Baton Rouge, Louisiana, March 2003.
"Partition identities and a theorem of Zagier," Canadian Number Theory Association Meeting VII, Montreal, Canada, June 2002.
"Partition identities and a theorem of Zagier," Combinatorics Seminar, University of Wisconsin-Madison, Spring 2002.
"Partition identities and a theorem of Zagier," Number Theory Seminar, University of Wisconsin-Madison, Fall 2001.

Teaching

Math 18.02 (Multivariable Calculus), MIT, Fall 2007.
Math 18.02A (Multivariable Calculus), MIT, Spring 2007.
Math 18.01A/18.02A Recitations (Calculus), MIT, Fall 2006.
Assistant Instructor for UW-Madison Research Experience for Undergraduates, Summer 2005, 2006.
Math 217 Recitations (Calculus with Algebra and Trigonometry II), UW-Madison, Spring 2005.
Math 171 Recitations (Calculus with Algebra and Trigonometry I), UW-Madison, Fall 2004.

Advising

Alex Arkhipov, Undergraduate Research Opportunities Program, MIT, Summer 2007.

Professional Activities

Student member of Graduate Program Committee, UW-Madison, 2005--2006.
Member of The American Mathematical Society, 2003 -- .
Member of the UW-Madison Teaching Assistant's Association, 2005.
Reviewer for the American Mathematical Society Mathematical Reviews Database (12 reviews written).
Referee work for: Annals of Combinatorics, Ars Combinatoria, Discrete Mathematics (2), Electronic Journal of Combinatorics, European Journal of Combinatorics, Journal of Combinatorial Theory Series A, INTEGERS - Electronic Journal of Combinatorial Number Theory (3), Journal fur die Reine und Angewandte Mathematik, London Mathematical Society, Mathematical Research Letters, The Ramanujan Journal (2); (15 total papers refereed).

Grants and Fellowships

NSA Young Investigator Award, 2008--2010.
Clay Math Foundation Liftoff Program, 2006.
Recommended for National Science Foundation Postdoctoral Research Fellowship (declined), 2006.
National Science Foundation VIGRE Fellowship, 2001--02, 2005--2006.
National Science Foundation Graduate Research Fellowship, 2002--2005.

Honors and Awards

Inaugural PNAS Paper of the Year Award, presented at the National Academy of Sciences, 2006.
Excellence in Mathematical Research Award, University of Wisconsin Mathematics Department, 2005.
B.S. in Mathematics with Highest Distinction; Honors in Mathematics and Humanities and Social Sciences, Spring 2001.
Harvey Mudd William and Margaret Radley Prize in the Humanities, Spring 2001.
Harvey Mudd Scholar-Athlete of the Year, 2001.

Karl Mahlburg