Herchel Smith Postdoctoral Research Fellow in Pure Mathematics:

http://www.jobs.cam.ac.uk/job/11912/

University Lectureship in General Relativity and Partial Differential Equations:

Herchel Smith Postdoctoral Research Fellow in Pure Mathematics:

http://www.jobs.cam.ac.uk/job/11912/

University Lectureship in General Relativity and Partial Differential Equations:

*The brutal death in Cairo in January 2016 of Giulio Regeni, an Italian doctoral student at Cambridge University, prompted an international letter calling for an independent enquiry that quickly gained 4600 signatures. This was formally delivered to the Egyptian Embassy in London on 22 March. The Deputy Chief of Mission, Mr Hassan Shawky, received the letter and discussed the request with a group of eight teachers and researchers from Cambridge and London universities who reflected a cross-section of the signatories.*

See the website of the conference for more information: http://matkit2016.sciencesconf.org

The advert for the Unestablished Lectureship in Analysis linked with the CCA has now gone live, please see

http://www.jobs.cam.ac.uk/job/8782/

for details.

The adverts for the 3 Lectureships in Pure Mathematics are now live with closing deadline as December 15th. One of the positions is the Corfield Lectureship (linked post with Murray Edwards). Another fourth position is open in Probability.

The Princeton Companion to Applied Mathematics just appeared:

It includes an introductory article on kinetic theory I wrote together with Cédric Villani, and many other interesting papers.

http://arxiv.org/abs/1505.04608

We prove that weak solutions to a quasilinear hypoelliptic equations with bounded measurable coefficients are H\”older continuous. The proof relies on classical techniques developed by De Giorgi and Moser together with the averaging lemma and regularity transfers developed in kinetic theory. The latter tool is used repeatedly: first in the proof of the local gain of integrability of sub-solutions, second in proving that the gradient with respect to the speed variable is , third, in the proof of an “hypoelliptic isoperimetric De Giorgi lemma”. To get such a lemma, we develop a new method which combines the classical isoperimetric inequality on the diffusive variable with the structure of the integral curves of the first-order part of the operator. It also uses that the gradient of solutions w.r.t. v is .