Karl Mahlburg

Karl Mahlburg is an American mathematician whose research interests lie in the areas of modular forms, partitions, combinatorics and number theory. He is the author of over 40 peer-reviewed journal articles.[1] Mahlburg received his PhD in 2006 from the University of Wisconsin–Madison. Between 2011 and 2021 he was an assistant professor and an associate professor of mathematics at Louisiana State University.[2]

Karl Mahlburg
Karl Mahlburg and Kathrin Bringmann at Oberwolfach (2009)
NationalityAmerican
Alma materHarvey Mudd College
University of Wisconsin–Madison
Scientific career
FieldsMathematics
InstitutionsLouisiana State University
Doctoral advisorKen Ono

Work

Mahlburg's paper Partition Congruences and the Andrews-Garvan-Dyson Crank, published in 2005 in the Proceedings of the National Academy of Sciences (PNAS), was deemed an important advance in the theory of integer partitions. In the paper, Mahlburg proved a conjecture made earlier by Ken Ono regarding a family of congruences satisfied by a mathematical function known as the crank, extending a line of results dating back to the work of Srinivasa Ramanujan on partition congruences.[3] A commentary on Mahlburg's paper, written by George Andrews and Ken Ono and published concurrently with the paper, states: "The achievement of Karl Mahlburg in this issue of PNAS adds a lustrous chapter to a unique mathematical object: the crank. [...] The story of the crank is a long romantic tale, one that [...] has now reached a satisfying and unexpected conclusion with the work of Mahlburg."[4] Mahlburg's paper received the PNAS Paper of the Year prize, being selected from among 3,000 papers published in the journal in 2005.[5]

References
  1. "Karl Mahlburg - Publications". Retrieved 2023-10-21.
  2. "Karl Mahlburg - Curriculum Vitae". Retrieved 2023-10-21.
  3. Mahlburg, Karl (October 25, 2005). "Partition Congruences and the Andrews-Garvan-Dyson Crank". Proc. Natl. Acad. Sci. U.S.A. 102 (43): 15373–15376. doi:10.1073/pnas.0506702102. Retrieved October 21, 2023.
  4. Andrews, George; Ono, Ken (October 25, 2005). "Ramanujan's congruences and Dyson's crank". Proc. Natl. Acad. Sci. U.S.A. 102 (43): 15277. doi:10.1073/pnas.0507844102. Retrieved October 21, 2023.
  5. "PNAS Announcement - 2005 Cozzarelli Prize recipient". May 1, 2006. Retrieved October 21, 2023.
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