Thomas Willwacher

Last updated
Thomas H. Willwacher
Born (1983-04-12) 12 April 1983 (age 36)
Nationality German
Alma materETH Zurich
Awards EMS Prize (2016)
Scientific career
Fields Mathematical physics
Institutions ETH Zurich
Doctoral advisor Giovanni Felder  [ de ]

Thomas Hans Willwacher (born 12 April 1983) is a German mathematician and mathematical physicist working as a Professor at the Institute of Mathematics, ETH Zurich. [1]

Germans are a Germanic ethnic group native to Central Europe, who share a common German ancestry, culture and history. German is the shared mother tongue of a substantial majority of ethnic Germans.

Mathematician person with an extensive knowledge of mathematics

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

ETH Zurich Swiss Federal Institute of Technology in Zurich

ETH Zurich is a science, technology, engineering and mathematics university in the city of Zürich, Switzerland. Like its sister institution EPFL, it is an integral part of the Swiss Federal Institutes of Technology Domain that is directly subordinate to Switzerland's Federal Department of Economic Affairs, Education and Research. The school was founded by the Swiss Federal Government in 1854 with the stated mission to educate engineers and scientists, serve as a national center of excellence in science and technology and provide a hub for interaction between the scientific community and industry.

Contents

Biography

Willwacher completed his PhD at ETH Zurich in 2009 with a thesis on "Cyclic Formality", under the supervision of Giovanni Felder  [ de ], Alberto Cattaneo  [ de ], and Anton Alekseev. [2] He was later a Junior member of the Harvard Society of Fellows. In July 2016 Willwacher was awarded a prize from the European Mathematical Society for "his striking and important research in a variety of mathematical fields: homotopical algebra, geometry, topology and mathematical physics, including deep results related to Kontsevich's formality theorem and the relation between Kontsevich's graph complex and the Grothendieck-Teichmüller Lie algebra". [3] [4]

The Society of Fellows is a group of scholars selected at the beginning of their careers by Harvard University for their potential to advance academic wisdom, upon whom are bestowed distinctive opportunities to foster their individual and intellectual growth. Junior Fellows are appointed by Senior Fellows based upon previous academic accomplishments and receive generous financial support for three years while they conduct independent research at Harvard University in any discipline, without being required to meet formal degree requirements or to be graded in any way. The only stipulation is that they remain in residence in Cambridge, Massachusetts, for the duration of their fellowship. Membership in the society is for life.

European Mathematical Society

The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians. The current president is Pavel Exner, Scientific Director of the Doppler Institute for Mathematical Physics and Applied Mathematics in Prague.

Notable results of Willwacher include the proof of Maxim Kontsevich's cyclic formality conjecture and the proof that the Grothendieck–Teichmüller Lie algebra is isomorphic to the degree zero cohomology of Kontsevich's graph complex.

Maxim Kontsevich Russian-born French mathematician and Fields Medallist

Maxim Lvovich Kontsevich is a Russian and French mathematician. He is a professor at the Institut des Hautes Études Scientifiques and a distinguished professor at the University of Miami. He received the Henri Poincaré Prize in 1997, the Fields Medal in 1998, the Crafoord Prize in 2008, the Shaw Prize and Fundamental Physics Prize in 2012, and the Breakthrough Prize in Mathematics in 2014.

In mathematics, the Grothendieck–Teichmüller groupGT is a group closely related to the absolute Galois group of the rational numbers. It was introduced by Vladimir Drinfeld (1990) and named after Alexander Grothendieck and Oswald Teichmüller, based on Grothendieck's suggestion in his Esquisse d'un Programme to study the absolute Galois group of the rationals by relating it to its action on the Teichmüller tower of Teichmüller groupoids Tg,n, the fundamental groupoids of moduli stacks of genus g curves with n points removed. There are several minor variations of the group: a discrete version, a pro-l version, a k-pro-unipotent version, and a profinite version; the first three versions were defined by Drinfeld, and the version most often used is the profinite version.

Lie algebra A vector space with an alternating binary operation satisfying the Jacobi identity.

In mathematics, a Lie algebra is a vector space together with a non-associative operation called the Lie bracket, an alternating bilinear map , satisfying the Jacobi identity.

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References

  1. "Prof. Dr. Thomas Willwacher". ETH Zurich. ETH Zurich . Retrieved 25 July 2016.
  2. Thomas Willwacher at the Mathematics Genealogy Project
  3. "7 ECM Berlin: Twelve prizes awarded". European Mathematical Society. 18 July 2016. Retrieved 31 August 2016.
  4. "7ECM — Laureates". 7th European Congress of Mathematics. European Mathematical Society. July 2016. Retrieved 31 August 2016.