Information about potential PhD advisors in the Hodge Institute for the upcoming PhD admissions (deadline January 2017).

Available Supervisors
Image Arend Bayer
I currently have three students, so I am very unlikely to take on another student in 2017. If you believe our research interests would be a great fit, nevertheless don't hesitate to email me. I would also be happy to be second supervisor on one of the many topics of common interests with my colleagues. My current research concerns classical-type questions in algebraic geometry that can be attacked with the modern tool set imported from string theory and mirror symmetry: derived categories, stability conditions, wall-crossing.
Image Ivan Cheltsov
Information will be posted soon.
Image Iain Grant Gordon
Noah White is a PhD student working with me at the moment, on questions around the symmetric group combinatorics, Calogero-Moser spaces and the KZ equations. You can find out more about topics I work on, basically Representation Theory and its connections to Lie theory, algebraic combinatorics, algebraic geometry and noncommutative algebra, by going to my webpage and following the links to publications (for some survey articles) or to PhD students (for some talks, plus theses of all my graduated students). I'm Head of School in Edinburgh, so I'd only be interested in co-supervising PhD students with members of the group!
Image Milena Hering
I work on algebraic geometry, especially with connections to combinatorics and commutative algebra. To get a flavour of what I am working on, take a look at my papers on my website. I currently have one student, and I would be open to take another student next year.
Image David Jordan
The problems that interest me the most concern the interactions between low dimensional topology (braid groups, mapping class groups, topological field theories), non-commutative algebra (quantization, symplectic structures, derived algebraic geometry), and representation theory (quantum groups, algebraic groups, tensor categories), especially as these interactions arise in mathematical physics and gauge theory. I currently have three students, so I don't plan to take any more in 2017.
Photo of Tom Leinster Tom Leinster
I work in category theory and its applications. I have many interests; here's a list of potential PhD topics. I'd be happy to take on another student.
Image Antony Maciocia
My interests lie in Algebraic Geometry and particularly in understanding moduli of holomorphic sheaves. Current work has focused on applications of Bridgeland stability to various classical and non-classical questions about varieties and especially Calabi-Yau spaces. Currently I supervise Graham Manuell who is looking at schemes without points and Trang Nguyen who is working on stability and Fourier-Mukai transforms.
Image Johan Martens
My research mainly involves the study of various moduli spaces in symplectic and algebraic geometry. Most of these have links to physics and representation theory, and involve some sort of symmetry. I am open to take on another student.
Jon Pridham
My research is concerned with the interactions between abstract homotopy theory and algebraic geometry. I currently have one student, Matt Booth, who is now in his second year. I am unlikely to take on students in the coming year.
Image Sue Sierra
I am a noncommutative ring theorist, specialising in interactions between ring theory and algebraic geometry, particularly the use of geometric techniques to solve problems in algebra. Much of my research is motivated by the attempt to classify connected graded domains of GK-dimension 3. I am also interested in moduli problems for graded rings and in algebraic geometry, and recently I have begun to work on problems coming from Lie theory. My papers are available on my webpage. I currently supervise two students, and am not planning to take another next year.
Image Agata Smoktunowicz
I work on noncommutative ring theory. I currently supervise one student, and do not plan to take another in the coming year.


We have also several faculty in neighbouring fields with strong interest in algebra and geometry. For full PhD information for the Mathematical Physics group, see here. This group includes José Figueroa-O'Farrill, and:

Mathematical Physicists.
Image Harry Braden
Integrable systems are those that can be solved exactly and they appear in significant physical and mathematical settings. Their modern study involves many branches of mathematics, particularly algebra, geometry and algebraic geometry with computational aspects of these also important. Examples of such systems range from classical mechanics to (quantum) field theory and indeed supersymmetric gauge theories relate both of these. I am happy to supervise a suitably well-qualified student on any of the above aspects depending on their interests.
Image James Lucietti
I work on general relativity and gravitational aspects of string theory and holography. I have a particular interest in higher-dimensional black hole solutions in these contexts. I currently have one student and I am open to taking on another next year.
Image Joan Simon
I work on holography. I currently supervise one student, and do not plan to take on another in the coming year.




The original document is available at http://hodge.maths.ed.ac.uk/tiki/AvailableSupervisors