Kathryn Pamela Hess (born 1967) 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 neuroscience, cancer biology, and materials science. She is a fellow of the American Mathematical Society.
She has more recently used algebraic topology to understand structures in neurology and materials science.
As of March 2025, she has been the principal academic advisor for 21 mathematics PhDs at EPFL, including 9 women.
She was named an individual member of the Swiss Academy of Engineering Sciences in 2016 and a fellow of the American Mathematical Society for "contributions to homotopy theory, applications of topology to the analysis of biological data, and service to the mathematical community" in 2017. In 2017, she received an award as a distinguished speaker of the European Mathematical Society. She delivered one of the public lectures during the Eighth European Congress of Mathematics on 21 June 2021. Hess was named a fellow of the Association for Women in Mathematics in the class of 2024 "for her support of women in mathematics via innovative and impactful programs, including her role in founding and sustaining the Women in Topology program; for her exceptional mentoring; and for her commitment to gender diversity throughout her many leadership roles in the mathematics profession." She was a visiting member of the IBS Center for Geometry and Physics.
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