PhD Candidate in Analysis and Geometry on Manifolds and Related Areas

The Department of Mathematics is seeking a highly motivated PhD candidate for a research position funded by the NWO ENW-M project ‘Symmetry and analytic torsion’. This project is about developing and applying a version of analytic torsion incorporating group actions. It falls in the broad area of analysis and geometry on manifolds. There are links with index theory, noncommutative geometry and group and representation theory. The PhD project will be supervised by Dr Peter Hochs. We will support you through the PhD process to engage in excellent research, participate in international meetings and develop teaching skills that will equip you for a career in either academia or industry. This position has a light teaching load, of up to 10% of your working time. Upon successful completion, you will be awarded a PhD from Radboud University.

We welcome applications from candidates with an excellent academic track record, and demonstrable experience in at least one of the areas mentioned above. Members from groups that are underrepresented in Science, Technology, Engineering and Mathematics disciplines are particularly encouraged to apply.

Research Center of Operator Algebras at East China Normal University is now looking for applications for several posdoc positions. Please find details in the following link: https://www.mathjobs.org/jobs/list/20547

Applications or further information need to be delivered to our secretary Ms Junli Ji jlji@math.ecnu.edu.cn.

Please help forwarding this message to any young researchers or PhD candidates who might be interested. Thank you very much!

We are looking for a mathematician working in the area of mathematical general relativity. This position will expand our young initiative in mathematical relativity, which is part of the Mathematical Physics research group. This group has traditionally specialised in quantum (field) theory, non-commutative geometry and operator algebras, and foundations of quantum physics and general relativity, which is led by Klaas Landsman and Walter van Suijlekom as full professors and also includes Annegret Burtscher, Peter Hochs, and Michael Müger. Within the Mathematics Department, this group is also closely connected to research in both applied mathematics, especially on partial differential equations (PDEs), and pure mathematics with a focus on analysis and geometry. You will also strengthen the increasing concentration of our umbrella institute (IMAPP) on gravity as a key research theme, particularly on black holes (including the Event Horizon Telescope), gravitational waves (with links to both current and future detection technology such as the Einstein Telescope), and quantum gravity. Women and members of other groups underrepresented in science are especially encouraged to apply.

Please find the announcement for the vacancy of Assistant/Associate Professor of mathematical physics:

On the occasion of Walter van Suijlekom‘s inaugural lecture at 15:45 there will be a symposium on noncommutative geometry in the morning of September 7 2022. All talks will take place in HG00.065 in the Huygensgebouw. More details can be found here

Morning chair and opening: Klaas Landsman 10:30-10:45: A brief history of NCG in the Netherlands 10:45-11:30 Alain Connes: Spectra and an unexpected geometry 11:30-12:15 Ali Chamseddine: Feynman rules for spectral action in compact form 12:15-13:15: Lunch break including informal talk by Walter van Suijlekom from 12:30-13:00 Afternoon chair 1: Peter Hochs 13:15-14:00 Francesca Arici: Noncommutative spaces from symmetries: A focus on groupoids and SU(2)-subproduct systems 14:00-14:45 Jose Gracia-Bondia: Detective work in the recesses of the Standard Model 14:45-15:15 Tea break Afternoon chair 2: Bram Mesland 15:15-16:00 Teun van Nuland: Cyclic cocycles in one-loop corrections to the spectral action 16:00-16:45 Giovanni Landi: Hopf algebroids and noncommutative gauge transformations 16:45-17:00 Closing words by Walter

The mathematics department at Saarland University in Germany is offering a 3 year postdoc position in analysis funded by the Emmy Noether grant “Reproducing kernel Hilbert spaces and dilation theory”. There are no teaching obligations. The application deadline is December 15, 2021. More details can be found at https://www.math.uni-sb.de/ag/hartz/postdoc.pdf.

The year 2021 will mark the 40th anniversary of the discovery and development of Cyclic Cohomology Theory by Alain Connes. Its further flourishing fostered by many mathematicians including Dan Quillen, Jean Louis Loday, Boris Tsygan, Boris Feigin, Joachim Cuntz, Ib Madsen, Max Karoubi, and many others has brought a remarkable development of the subject in many distinct directions, in particular in global analysis, representation theory and index theory, algebraic K-theory and cyclotomic trace maps, arithmetic geometry and mathematical physics. The goal of this meeting will be to bring top experts from around the world to lecture on the state of the art in the field, to look towards the future and discuss the most pressing current open problems in the field.

Organizing Committee

Alain Connes – Collège de France and Institut des Hautes Études Scientifiques Caterina Consani – Johns Hopkins University Masoud Khalkhali – Western University Henri Moscovici – The Ohio State University

Radboud University Nijmegen offers a new master track Mathematical Physics, preparing you for research in noncommutative geometry, quantum theory and/or mathematical general relativity.

The Mathematical Physics core track of the Master’s specialisation in Mathematics will bring you up-to-date in modern mathematical physics, and prepares you for research in one (or both) of the two great fundamental theories of physics, namely general relativity and quantum (field) theory.

The mathematical topics covered in this track also make sense as pure mathematics and are already very exciting as such – our interest lies both there, supported by our colleagues in pure and applied mathematics, and in applications to the frontiers of fundamental physics. In the latter direction, you may want to profit from the neighboring departments of astrophysics and high-energy physics, which offer their own Master’s specialisation in Particle and Astrophysics, from which you may take some electives. In any case, in mathematics you can choose from a wide range of courses specific to this track:

General background for all of Mathematical Physics: Differential Geometry, Symplectic Geometry, Lie Groups, Lie Algebras, Functional Analysis, Partial Differential Equations

Mathematical General Relativity: Calculus of Variations, Nonlinear Wave Equations, Singularities and Black Holes

Quantum (Field) Theory: Poisson Geometry, Non-commutative Geometry, Operator Algebras, Quantum Computing, Quantum Information Theory

Writing your Master’s thesis allows you to specialise in a specific area based on your interests. The thesis is supervised by a staff member at the Mathematics department and can be combined with an internship. The Mathematics department has a well-established group in Mathematics physics.

Curriculum and courses

Please refer to the online course guide for further information about the study program.

More information

Please contact the student advisor for more information about the Applied Mathematics track.

An online summer school on K-Theory and Representation Theory, organized by N. Higson, R. Plymen and H. Sengun and sponsored by the London Mathematical Society and the Isaac Newton Institute, will take place 19-23 July 2021.

There will be four lecture series:

– Basic representation theory of p-adic Lie groups, by Anne-Marie Aubert

– Basic representation theory of real Lie groups, by Peter Hochs

– Basics of group C*-algebras and K-theory, by Bram Mesland

– Dirac operators and representation theory, by Hang Wang