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For StudentsHere are some general guidelines for those considering a research career in Mathematical Physics. If you are looking for a research advisor, I would be happy to discuss possible research opportunities. I currently offer graduate research projects in different aspects of Mathematical Physics. At IST you may either get a degree in Physics or a degree in Mathematics (undergraduate and graduate), and you may also join doctoral programs in either Mathematics or Physics. At this stage there is yet no joint degree. In this sense, I strongly recommend that you should follow the course plan presented below as much as you can. FCT Ph.D. Fellowships:The Portuguese Science Foundation opens applications for individual doctoral fellowships in all areas roughly every summer, where applicants may apply after being accepted in a doctoral program. If you are interested in applying for this fellowship with the aim of pursuing doctoral studies in Mathematics, in the general area of Mathematical Physics, the first step consists in sending me an email. The complete application procedure consists of two distinct phases. The candidate must first apply to the IST Doctoral Program in Mathematics. In order to qualify for the Doctoral Program in Mathematics, you must hold either a master's degree or a bachelor's degree (or equivalent). A degree in mathematics is not required but you should have a good mathematics record. Admisson to our program is based on past academic performance; further details on the admission requirements may be found here. Once the candidate has been admitted, the String Theory and Mathematical Physics group will jointly apply for a FCT Ph.D. fellowship. The complete procedure is described in the FCT web-page, in particular the Fellowships and Grants section, where you should pay attention to the BD (Doctoral Grant) fellowship. The expected duration of the fellowship is 4 years. The deadline for application is typically between May and September, with evaluations on two cycles: one after June and the other after September, with results coming out typically a couple of months later, but consult the aforementioned links for the precise data. Positions may then start in either October or January, correspondingly, at the earliest. Do notice that we have been mostly successfull with these applications in the past.
Introduction to String Theory, Matrix Models and Conformal Field Theory1. QFT Basics for Mathematicians [1] — Feynman Diagrams for Pedestrians and Mathematicians [2] — Perturbative Expansion of Chern-Simons Theory 2. String Theory: Basics [1] — A First Course in String Theory [2] — String Theory, Volume 1: An Introduction to the Bosonic String 3. Matrix Models: Basics [1] — 2d Gravity and Random Matrices [2] — A Planar Diagram Theory for Strong Interactions [3] — Les Houches Lectures on Matrix Models and Topological Strings 4. The Renormalization Group [1] — The Theory of Critical Phenomena: An Introduction to the Renormalization Group [2] — Renormalization Group Approach to Matrix Models 5. Conformal Field Theory [1] — Applied Conformal Field Theory [2] — Conformal Field Theory and Statistical Mechanics [3] — Conformal Field Theory 6. String Theory: Topics [1] — A First Course in String Theory [2] — String Theory, Volume 2: Superstring Theory and Beyond 7. Matrix Models: Topics [1] — 2d Gravity and Random Matrices [2] — Les Houches Lectures on Matrix Models and Topological Strings [3] — Matrix Model Calculations Beyond the Spherical Limit [4] — Higher Genus Correlators for the Hermitian Matrix Model with Multiple Cuts 8. Liouville Theory and Minimal Strings [1] — Liouville Field Theory: A Decade After the Revolution [2] — Lectures on 2d Gravity and 2d String Theory ...and remember...
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