Jacob Lurie
Jacob Alexander Lurie (born December 7, 1977 in Washington, DC ) is an American mathematician .
Lurie took part in the International Mathematical Olympiad as a student with a gold medal in 1994 and won the Westinghouse Science Talent Competition in 1996. He graduated from Harvard University with a bachelor's degree in 2000 and in the same year received the Morgan Prize for Undergraduates in Mathematics for a thesis on Lie algebras ( On simply laced Lie algebras and their Miniscule Representations ). In 2004 he received his PhD from the Massachusetts Institute of Technology under Michael J. Hopkins (Derived Algebraic Geometry). In 2007 he became Associate Professor at MIT and in 2009 Professor at Harvard. In 2014 he received a MacArthur Fellowship . He has been at the Institute for Advanced Study since 2019 . In 2020 Lurie was elected to the National Academy of Sciences .
Lurie developed new methods in higher category theory or topos theory ( infinite categories of different levels) and new topological methods in algebraic geometry in his theory of derivative algebraic geometry and applied methods of algebraic geometry in topology (e.g. elliptical cohomology ). He applied his higher category theory also to the classification of topological quantum field theories (in the sense of Michael Atiyah ) (proof of the cobordism conjecture by John Baez , James Dolan ). He was invited speaker at the International Congress of Mathematicians 2010 (Moduli problems for ring spectra). In 2014, together with four other mathematicians, he was awarded the Breakthrough Prize in Mathematics for his work in higher category theory and derived algebraic geometry and in particular for the classification of fully extended topological quantum field theories and for his modular theoretical interpretation of elliptic cohomology.
Fonts
- Higher Topos Theory , Annals of Mathematical Studies 170, Princeton University Press 2009, arxiv
- Derived Algebraic Geometry , Part 1–6, Dissertation and Preprints 2007 to 2009 (in Arxiv)
- On the classification of topological field theories , Preprint 2009
- Higher Algebra (book, preprint on his homepage)
- with Dennis Gaitsgory : Weil's conjecture for function fields , Princeton UP, 2019
Web links
Individual evidence
- ^ Mathematics Genealogy Project
- ↑ Breakthrough Prize 2014 ( Memento of the original from June 24, 2014 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.
| personal data | |
|---|---|
| SURNAME | Lurie, Jacob |
| ALTERNATIVE NAMES | Lurie, Jacob Alexander (full name) |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | 7th December 1977 |
| PLACE OF BIRTH | Washington, DC |