Starting in 2001 we have started the EMPG preprint series.
Our research is varied, but mostly gravitates around the interface between mathematics and modern theoretical physics (chiefly, field theory and string theory). Integrability, in both its classical and quantum aspects, also plays a important role in much of our research.
These are fertile areas of research, with a number of recent Fields medals having been awarded:
| 1990 | Vladimir Drinfel'd | 1998 | Richard Borcherds |
|---|---|---|---|
| Vaughan F. R. Jones | Maxim Kontsevich | ||
| Edward Witten |
The 1999 Physics Nobel Prize was also awarded for work in the mathematical foundations of Quantum Field Theory to Gerard 't Hooft and Martin Veltman.
We have no doubt that these topics will continue to keep mathematicians and physicists busy and talking to each other well into the twenty-first century. For an eloquent elaboration of this statement, read Edward Witten's article in the Notices of the American Mathematical Society.
We briefly list below our individual research interests. More details of our research (often with links to our papers) can be found in our individual web pages.
| Harry Braden | Integrable systems in classical mechanics and (quantum) field theory; WDVV and Seiberg-Witten theory; explicit (special function) solutions; mathematical physics in its broadest sense. |
| Chris Eilbeck | Integrable and near-integrable systems, solitons, abelian functions, classical and quantum lattice models. |
| José Figueroa-O'Farrill | Geometric aspects of supersymmetry, particularly supersymmetric string backgrounds; D-branes; string theory; gauge theory; conformal field theory; integrable systems; knot theory. |
| Emily Hackett-Jones | Supersymmetric supergravity solutions; branes, particularly non-static branes; G-structures; calibrations; compactifications; string theory; gauge theories; quantum gravity. |
| Des Johnston | Discrete random geometries in quantum gravity and solid-state physics; matter simulations on dynamical lattices, random surfaces and random graphs. |
| Zoltán Kádár | Classical and quantum gravity in 3 and 4 dimensions, hyperbolic geometry, spin foams. |
| Anatoly Konechny | String theory; two-dimensional conformal field theory; noncommutative geometry; renormalization group flows. |
| Paul de Medeiros | Topological and geometrical aspects of string theory and gauge theory. Non-perturbative properties of topological string theory, dualities and mirror symmetry; topological field theory; higher spin gauge theory; geometry of supergravity backgrounds; black hole attractors. |
| Mauro Riccardi | Noncommutative geometry, matrix quantum mechanics and noncommutative field theory |
| Bernd Schroers | Classical and quantised dynamics of topological solitons, in particular of monopoles, vortices and skyrmions; quantum gravity in (2+1)-dimensions; quantum groups. |
| Joan Simón | Emergence of classical spacetime through microscopics of black holes and general relativity singularities; D-branes & string theory; supersymmetric solitons; inflation & cosmology. |
| Michael Singer | Gauge theory (including instantons, monopoles, calorons etc); 4-dimensional geometry; moduli spaces; hyperKähler metrics; mathematical aspects of integrable systems. |
| Richard Szabo | String theory, M theory, quantum gravity, matrix models, noncommutative geometry, K-theory, quantum field theory, geometrical and topological methods in physics. |
| Paul Turner | Topological aspects of quantum field theory, in particular the axiomatic approaches of Atiyah and Segal; underlying algebraic structures; connections to category theory and homotopy theory. |
| Robert Weston | Solvable lattice models; quantum field theory; integrability; quantum affine algebras; vertex operators; the Yang-Baxter equation. |
If any of these topics interest you and you can see yourself spending some time discussing them with us, either as a postgraduate student, postdoc, visitor... why not let us know? You can find out about ways to come here from our Jobs page.