Yvette Kosmann-Schwarzbach (born 30 April 1941) is a French

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

and

professor Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin as a "person who pr ...

. She has been teaching

mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

at the

Lille University of Science and Technology , image_name = Lilliad Learning Center Innovation.jpg , image_size = , caption = Université de Lille I , established = 1559, 1854, 1970 , type = Public: science and technology , president ...

and at the

École polytechnique École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoi ...

since 1993. Kosmann-Schwarzbach obtained her

doctoral degree A doctorate (from Latin ''docere'', "to teach"), doctor's degree (from Latin ''doctor'', "teacher"), or doctoral degree is an academic degree awarded by universities and some other educational institutions, derived from the ancient formalism ''li ...

in 1970 at the

University of Paris , image_name = Coat of arms of the University of Paris.svg , image_size = 150px , caption = Coat of Arms , latin_name = Universitas magistrorum et scholarium Parisiensis , motto = ''Hic et ubique terrarum'' (Latin) , mottoeng = Here and a ...

under supervision of

André Lichnerowicz André Lichnerowicz (January 21, 1915, Bourbon-l'Archambault – December 11, 1998, Paris) was a noted France, French Differential geometry and topology, differential geometer and Mathematical physics, mathematical physicist of Poland, Polish desc ...

on a dissertation titled ''Dérivées de Lie des spineurs'' (

Lie derivative In differential geometry, the Lie derivative ( ), named after Sophus Lie by Władysław Ślebodziński, evaluates the change of a tensor field (including scalar functions, vector fields and one-forms), along the flow defined by another vector fi ...

s of spinors). She is the author of over fifty articles on

differential geometry Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multili ...

algebra Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary a ...

and

mathematical physics Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and t ...

, as well as the co-editor of several books concerning the theory of

integrable systems In mathematics, integrability is a property of certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently many conserved quantities, or first i ...

. The Kosmann lift in differential geometry is named after her.

Works

* ''Groups and Symmetries: From Finite Groups to Lie Groups.'' Translated by Stephanie Frank Singer. Springer 2010, . * ''The Noether Theorems: Invariance and Conservation Laws in the Twentieth Century.'' Translated by Bertram Schwarzbach. Springer 2011, .Reviews of ''The Noether Theorems'': Jeremy Gray (2008), ''Historia Mathematica'', ; Narciso Román-Roy (2012), ; Michael Berg (2011)
MAA Reviews
Teodora-Liliana Rădulescu, ; Reinhard Siegmund-Schultze, .

References

French mathematicians Women mathematicians 1941 births Living people Collège de France alumni Academic staff of École Polytechnique Academic staff of the Lille University of Science and Technology {{France-mathematician-stub