Lynne Butler
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Lynne Marie Butler (born 1959) is an American mathematician whose research interests include algebraic combinatorics,
group theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ( ...
, and
mathematical statistics Mathematical statistics is the application of probability theory and other mathematical concepts to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques that are commonly used in statistics inc ...
. She is a professor of mathematics at
Haverford College Haverford College ( ) is a private university, private Liberal arts colleges in the United States, liberal arts college in Haverford, Pennsylvania, United States. It was founded as a men's college in 1833 by members of the Religious Society of Fr ...
.


Early life and education

Butler's parents were both medical professionals. She is the identical twin sister of Laurie Butler, now a professor of chemistry at the
University of Chicago The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chic ...
; they were the youngest of six siblings, and grew up in
Garden City, New York Garden City is a village located in Nassau County, on Long Island, in New York, United States. The population was 23,272 at the time of the 2020 census. The Incorporated Village of Garden City is primarily located within the Town of Hempstead ...
. After Butler's father had a stroke, the family moved to St. Petersburg, Florida, where Butler went to high school. She credits a high school mathematics teacher, Mr. Mead, for sparking her interest in mathematics, writing "He wanted to learn group theory, and so did I, so we learned together." Butler majored in mathematics at the University of Chicago, graduating in 1981. She went to the
Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a Private university, private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of moder ...
for doctoral study in mathematics, intending to work in
algebraic topology Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariant (mathematics), invariants that classification theorem, classify topological spaces up t ...
despite warnings about the professor she would be working with from other women in the department. He thought that the prospect of marriage and children would make women unable to concentrate on mathematics, refused to let her read his recent work, and eventually told her that her difficulty in reading a paper "confirmed his bad opinion of female mathematicians". On the advice of the department chair, in order to avoid the possibility that her former advisor would be asked to recommend her, she changed her research topic. Instead, she began working in
combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ...
with Richard P. Stanley as her new advisor. She completed her Ph.D. in 1986. In 2013, bored with combinatorics and noting that many of her female students were doing particularly well the application-oriented components of her classes, she returned to the
University of Chicago The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chic ...
for a master's degree in statistics.


Career

After completing her doctorate, Butler became a
postdoctoral researcher A postdoctoral fellow, postdoctoral researcher, or simply postdoc, is a person professionally conducting research after the completion of their doctoral studies (typically a PhD). Postdocs most commonly, but not always, have a temporary acade ...
and then, a year later, an assistant professor at
Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
. However, at Princeton she encountered much of the same explicit sexism that had tormented her at MIT. One faculty member in her department assumed she was a secretary and handed secretarial work to her, and she was the target of comments about the incompatibility of child-bearing with mathematics, or remarks to her like "I really do feel women are genetically inferior in math", to the point that she says she "locked myself in my office and didn't come out for four years". Despite marrying Princeton
computer scientist A computer scientist is a scientist who specializes in the academic study of computer science. Computer scientists typically work on the theoretical side of computation. Although computer scientists can also focus their work and research on ...
F. Miller Maley, she moved in 1991 from Princeton to Haverford College, where she had a potential collaborator on the faculty and could find a more collegial atmosphere. She became a full professor at Haverford in 1996, the same year in which she was a visiting research professor at the
Mathematical Sciences Research Institute The Simons Laufer Mathematical Sciences Institute (SLMath), formerly the Mathematical Sciences Research Institute (MSRI), is an independent nonprofit mathematical research institution on the University of California campus in Berkeley, Califor ...
. At Haverford, she has served several terms as department chair, and was associate provost for 2004–2005.


Research

Butler's 1986 dissertation was ''Combinatorial Properties of Partially Ordered Sets associated with Partitions and Finite Abelian Groups''. She subsequently published some of this research as "A unimodality result in the enumeration of subgroups of a finite
abelian group In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written. That is, the group operation is commu ...
" (''Proc. AMS'' 1987), which concerned applications of algebraic combinatorics in
group theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ( ...
. Her work in this line of research also included her book ''Subgroup Lattices and Symmetric Functions'' (Mem. AMS 112, 1994). Butler's 2013 master's thesis was ''Latent Dirichlet Allocation for a Corpus of Prayers''. Since completing this degree, her teaching and undergraduate research direction have turned from combinatorics to
probability theory Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expre ...
and
statistics Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
. Butler has also studied John Nash and his work on
game theory Game theory is the study of mathematical models of strategic interactions. It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. Initially, game theory addressed ...
, speaking in general-audience mathematics talks about connections between this work and collaboration in art.


References


External links


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{{DEFAULTSORT:Butler, Lynne Living people 21st-century American mathematicians 21st-century American women mathematicians American statisticians American women statisticians Combinatorialists University of Chicago alumni Massachusetts Institute of Technology School of Science alumni Princeton University faculty Haverford College faculty 1955 births