Kathryn Hess (born 1967) is a professor of mathematics at  École Polytechnique Fédérale de Lausanne (EPFL) and 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 better understanding neurology , cancer biology, and materials science. She is a fellow of the American Mathematical Society.
Kathryn Hess was born 21 September 1967 in
Bryn Mawr, Pennsylvania. She began to accelerate in mathematics in 1979, thanks to the Mathematical Talent Development Project (MTDP) set up in Eau Claire, Wisconsin, by her parents, through the Association for High Potential Children, which they also founded. Both programs are defunct at this point. Hess earned a BSc with honors in mathematics from the University of Wisconsin–Madison in 1985. She received her doctorate in mathematics from the  Massachusetts Institute of Technology in 1989 under the direction of David J. Anick. Her dissertation was entitled A Proof of Ganea's Conjecture for Rational Spaces. [H91]
Hess has worked and written extensively on topics in
algebraic topology including homotopy theory, model categories and [H02] algebraic K-theory. She has also used the methods of algebraic topology and [HS] category theory to investigate homotopical generalizations of descent theory and Hopf–Galois extensions. [H10] In particular, she has studied generalizations of these structures for [H09] ring spectra and differential graded algebras.
She has more recently used algebraic topology to understand structures in
neurology [KDS] and [DHL] materials science.
Awards and honors [ edit ]
Hess received the Polysphere d'Or Teaching Award for her teaching at EPFL in 2013. In 2017, she was named 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, she received an award as a distinguished speaker of the  European Mathematical Society.
Selected publications [ edit ]
Dotko, Pawe; Hess, Kathryn; Levi, Ran; Nolte, Max; Reimann, Michael; Scolamiero, Martina; Turner, Katharine; Muller, Eilif; Markram, Henry (2016). "Topological analysis of the connectome of digital reconstructions of neural microcircuits". arXiv: . 1601.01580 Bibcode: 2016arXiv160101580D.
Kanari, Lida; Dłotko, Paweł; Scolamiero, Martina; Levi, Ran; Shillcock, Julian; Hess, Kathryn; Markram, Henry (2016). "Quantifying topological invariants of neuronal morphologies". arXiv: . 1603.08432 Bibcode: 2016arXiv160308432K.
Lee, Yongjin; Barthel, Senja D.; Dłotko, Paweł; Moosavi, S. Mohamad; Hess, Kathryn; Smit, Berend (2017). "Pore-geometry recognition: on the importance of quantifying similarity in nanoporous materials". arXiv: . 1701.06953 Bibcode: 2017arXiv170106953L.
References [ edit ]
External links [ edit ]