Christopher J Fewster  Department of Mathematics University of York Heslington York YO10 5DD Room: G/107 Tel: (01904) 323091 Fax: (01904) 323071 e-mail: chris.fewster@york.ac.uk

• Quantum Energy Inequalities
  Unlike most classical forms of matter, quantum fields can have local energy densities that are negative. However, quantum field theory contains mechanisms (deeply connected to the uncertainty principle) that result in the energy density not being too negative on average. These mechanisms are expressed by results called Quantum Energy Inequalities (QEIs). Much of my work in the period 1998-2008 was devoted to proving QEIs for various different quantum field theories and to examining their consequences and this is still an active area of work. A summary of the area, which also provides a mini-introduction to quantum field theory in curved spacetimes, can be found in my recent Lectures on Quantum Energy Inequalities
• Locally covariant quantum field theory
  Quantum field theory in Minkowski space depends in many ways on the high degree of spacetime symmetry. General curved spacetimes lack any symmetry at all, which makes it hard to prove general statements about general quantum field theories (as opposed to specific models). Work by Brunetti, Fredenhagen and Verch established a new framework for studying quantum field theory using tools from category theory. My recent work has explored a number of aspects of this framework.

I also work on other aspects of quantum field theory; see my full publication list for details. My teaching and administrative responsibilities can be found on my departmental web page.