John Willard Milnor is an American mathematician known for his work in differential topology, algebraic K-theory and low-dimensional holomorphic dynamical systems. Milnor is a distinguished professor at Stony Brook University and one of the five mathematicians to have won the Fields Medal, the Wolf Prize, and the Abel Prize.
John Henry Constantine Whitehead FRS, known as "Henry", was a British mathematician and was one of the founders of homotopy theory. He was born in Chennai, in India, and died in Princeton, New Jersey, in 1960.
Daniel Gray "Dan" Quillen was an American mathematician. He is known for being the "prime architect" of higher algebraic K-theory, for which he was awarded the Cole Prize in 1975 and the Fields Medal in 1978.
Dennis Parnell Sullivan is an American mathematician known for his work in algebraic topology, geometric topology, and dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Center and is a distinguished professor at Stony Brook University.
In mathematics, especially (higher) category theory, higher-dimensional algebra is the study of categorified structures. It has applications in nonabelian algebraic topology, and generalizes abstract algebra.
Michael Jerome Hopkins is an American mathematician known for work in algebraic topology.
Ronald Brown FLSW is an English mathematician. Emeritus Professor in the School of Computer Science at Bangor University, he has authored many books and more than 160 journal articles.
In mathematics, more specifically category theory, a quasi-category is a generalization of the notion of a category. The study of such generalizations is known as higher category theory.
Erica Flapan is an American mathematician, the Lingurn H. Burkhead Professor of Mathematics at Pomona College.
Karen Ellen Smith is an American mathematician, specializing in commutative algebra and algebraic geometry. She completed her bachelor's degree in mathematics at Princeton University before earning her PhD in mathematics at the University of Michigan in 1993. Currently she is the Keeler Professor of Mathematics at the University of Michigan. In addition to being a researcher in algebraic geometry and commutative algebra, Smith with others wrote the textbook An Invitation to Algebraic Geometry.
Kathryn Pamela Hess is an American mathematician who has served as professor of mathematics at École Polytechnique Fédérale de Lausanne (EPFL) since 1999. She is known for her work on homotopy theory, category theory, and algebraic topology, both pure and applied. In particular, she applies the methods of algebraic topology to the study of neurology, cancer biology, and materials science. She is a fellow of the American Mathematical Society.
Emily Riehl is an American mathematician who has contributed to higher category theory and homotopy theory. Much of her work, including her PhD thesis, concerns model structures and more recently the foundations of infinity-categories. She is the author of two textbooks and serves on the editorial boards of three journals.
Clark Edward Barwick is an American mathematician and professor of pure mathematics at the University of Edinburgh. His research is centered around homotopy theory, algebraic K-theory, higher category theory, and related areas.
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.
Ping Zhang is a mathematician specializing in graph theory. She is a professor of mathematics at Western Michigan University and the author of multiple textbooks on graph theory and mathematical proof.
In mathematics, nonabelian algebraic topology studies an aspect of algebraic topology that involves higher-dimensional algebras.
Anne C. Morel was an American mathematician known for her work in logic, order theory, and algebra. She was the first female full professor of mathematics at the University of Washington.
Aldridge Knight Bousfield, known as "Pete", was an American mathematician working in algebraic topology, known for the concept of Bousfield localization.
Della Jeanne Dumbaugh is an American mathematician and historian of mathematics, focusing on the history of algebra and number theory. She is a professor of mathematics at the University of Richmond, and the editor-in-chief of The American Mathematical Monthly.
Sarah-Marie Belcastro is an American mathematician and book author. She is an instructor at the Art of Problem Solving Online School and is the director of Bryn Mawr's residential summer program MathILy. Although her doctoral research was in algebraic geometry, she has also worked extensively in topological graph theory. She is known for and has written extensively about mathematical knitting, and has co-edited three books on fiber mathematics. She herself exclusively uses the form "sarah-marie belcastro".
