Erica Flapan (born August 14, 1956) is an American mathematician, the Lingurn H. Burkhead Professor of Mathematics at Pomona College.^{ [1] }
Pomona College is a private, nonsectarian, coeducational liberal arts college in Claremont, California, United States, often referred to as the premier liberal arts college on the West Coast. It was founded in 1887 by a group of Congregationalists who wanted to recreate a "college of the New England type" in Southern California, and in the 1920s, it became the founding member of the Claremont Colleges consortium.
Flapan did her undergraduate studies at Hamilton College (New York), graduating in 1977,^{ [2] }^{ [3] } and went on to graduate studies at the University of Wisconsin–Madison, earning a Ph.D. in 1983 under the supervision of Daniel McMillan.^{ [4] } After postdoctoral studies at Rice University and the University of California, Santa Barbara she joined the Pomona faculty in 1986.^{ [2] }^{ [3] } Flapan's research is in low-dimensional topology and knot theory.
The University of Wisconsin–Madison is a public research university in Madison, Wisconsin. Founded when Wisconsin achieved statehood in 1848, UW–Madison is the official state university of Wisconsin, and the flagship campus of the University of Wisconsin System. It was the first public university established in Wisconsin and remains the oldest and largest public university in the state. It became a land-grant institution in 1866. The 933-acre (378 ha) main campus, located on the shores of Lake Mendota, includes four National Historic Landmarks. The University also owns and operates a historic 1,200-acre (486 ha) arboretum established in 1932, located 4 miles (6.4 km) south of the main campus.
William Marsh Rice University, commonly known as Rice University, is a private research university in Houston, Texas. The university is situated on a 300-acre campus near the Houston Museum District and is adjacent to the Texas Medical Center.
In 2011, Flapan was one of three winners of the Deborah and Franklin Tepper Haimo Award for Distinguished College or University Teaching of Mathematics, from the Mathematical Association of America.^{ [3] }^{ [5] } In 2012 she became a fellow of the American Mathematical Society,^{ [6] } and in the same year as part of the bicentennial of Hamilton College was honored with a Hamilton Alumni Achievement Medal.^{ [7] }
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry.
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
She has published numerous papers, as well as worked on four books.^{ [3] }
John Willard Milnor is an American mathematician known for his work in differential topology, K-theory and dynamical systems. Milnor is a distinguished professor at Stony Brook University and one of the four mathematicians to have won the Fields Medal, the Wolf Prize, and the Abel Prize.
In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined together so that it cannot be undone, the simplest knot being a ring. In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, R^{3}. Two mathematical knots are equivalent if one can be transformed into the other via a deformation of R^{3} upon itself ; these transformations correspond to manipulations of a knotted string that do not involve cutting the string or passing the string through itself.
Peter Guthrie Tait FRSE was a Scottish mathematical physicist and early pioneer in thermodynamics. He is best known for the mathematical physics textbook Treatise on Natural Philosophy, which he co-wrote with Kelvin, and his early investigations into knot theory,
Sir Vaughan Frederick Randal Jones is a New Zealand mathematician, known for his work on von Neumann algebras and knot polynomials. He was awarded a Fields Medal in 1990, and famously wore a New Zealand rugby jersey when he gave his acceptance speech in Kyoto.
Ralph Hartzler Fox was an American mathematician. As a professor at Princeton University, he taught and advised many of the contributors to the Golden Age of differential topology, and he played an important role in the modernization and main-streaming of knot theory.
Ciprian Manolescu is a Romanian-American mathematician, working in gauge theory, symplectic geometry, and low-dimensional topology. He is currently a Professor of Mathematics at the University of California, Los Angeles.
Colin Conrad Adams is a mathematician primarily working in the areas of hyperbolic 3-manifolds and knot theory. His book, The Knot Book, has been praised for its accessible approach to advanced topics in knot theory. He is currently Francis Christopher Oakley Third Century Professor of Mathematics at Williams College, where he has been since 1985. He writes "Mathematically Bent", a column of math humor for the Mathematical Intelligencer.
Raymond Louis Wilder was an American mathematician, who specialized in topology and gradually acquired philosophical and anthropological interests.
Michael P. Starbird is a Professor of Mathematics and a University of Texas Distinguished Teaching Professor in the Department of Mathematics at the University of Texas at Austin. He received his B.A from Pomona College and his Ph.D. in mathematics from the University of Wisconsin–Madison.
William Bernard Raymond Lickorish is a mathematician. He is emeritus professor of geometric topology in the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, and also an emeritus fellow of Pembroke College, Cambridge. His research interests include topology and knot theory. He was one of the discoverers of the HOMFLY polynomial.
John Colin Stillwell is an Australian mathematician on the faculties of the University of San Francisco and Monash University.
Judith "Judy" Roitman is a mathematician, a retired professor at the University of Kansas. She specializes in set theory, topology, Boolean algebra, and mathematics education.
Knots have been used for basic purposes such as recording information, fastening and tying objects together, for thousands of years. The early, significant stimulus in knot theory would arrive later with Sir William Thomson and his theory of vortex atoms.
Abigail A. Thompson is an American mathematician. She works as a professor of mathematics at the University of California, Davis, where she specializes in knot theory and low-dimensional topology.
Julia Elisenda (Eli) Grigsby is an American mathematician who works as an associate professor at Boston College. Her research concerns low-dimensional topology, including knot theory and category-theoretic knot invariants.
Ana M. L. G. Cannas da Silva is a Portuguese mathematician specializing in symplectic geometry and geometric topology. She works in Switzerland as an adjunct professor in mathematics at ETH Zurich.
Gail Susan Nelson is a mathematician who works as a professor of mathematics at Carleton College.
Rachel Levy is a mathematician and blogger who works at Harvey Mudd College. Her research is in applied mathematics, including the mathematical modeling of thin films, and the applications of fluid mechanics to biology. At Harvey Mudd, she is a professor of mathematics and has been associate dean for faculty development. She is also interested in mathematics education and undergraduate mathematics research, is vice president for education of the Society for Industrial and Applied Mathematics (SIAM), and is the former editor-in-chief of SIAM Undergraduate Research Online (SIURO), an online publication of SIAM for undergraduate research in applied mathematics.
Jacqueline Ann Jensen-Vallin is an American mathematician. She is an associate professor of mathematics at Lamar University, the editor-in-chief of MAA FOCUS, the newsletter of the Mathematical Association of America (MAA), and the governor of the Texas Section of the MAA. Her research interests include combinatorial group theory, low-dimensional topology, and knot theory; she is also known for her work in mathematics education and the history of women in mathematics.
Candice Renee Price is an African-American mathematician and assistant professor at the University of San Diego. She, along with Erica Graham, Raegan Higgins, and Shelby Wilson created the website Mathematically Gifted and Black which features the contributions of modern-day black mathematicians. She is an advocate for greater representation of females and people of color in the STEM fields. Price's area of mathematical research is DNA topology, that is, knot theory applied to the structure of DNA.