Departmental homepageDr Dörrzapf has a PhD in Mathematics from Queens' College, Cambridge. Before he joined St John's College, he had a postdoctoral research position at the Lyman Laboratory of Physics at Harvard University. He obtained his undergraduate qualifications in Mathematics and Physics at the University of Karlsruhe.
Dr Dörrzapf has lectured core courses such as Vector Calculus in Part IA and Symmetries and Groups in Physics in Part II of the Cambridge Mathematical Tripos. For the College, Dr Dörrzapf is teaching many of the core Part IA and Part IB Applied Mathematics courses.
Dr Dörrzapf is interested in algebraic aspects of quantum field theories, in particular representations of symmetry algebras in conformal field theories and string theories. He has worked on the representation theory of superconformal algebras which plays a central role in string theory and has developed methods to classify superconformal representations. Dr Dörrzapf is also interested in probability theory and has worked on risk management models in financial mathematics in particular with respect to credit risk. He has worked on projects with Deutsche Bank in Frankfurt and New York in collaboration with KMV corporation, San Francisco.
'Analytic Expressions for Singular Vectors of the $N=2$ Superconformal Algebra', Communications in Mathematical Physics, 180, 195–231 (1996).
'The definition of Neveu-Schwarz superconformal fields and uncharged superconformal transformations', Reviews in Mathematical Physics, 11:02, 137-169 (1999)
Singular Dimensions of the N= 2 Superconformal Algebras. I, Communications in Mathematical Physics, 206, 493–531 (1999)
'Determinant Formula for the Topological N=2 Superconformal Algebra', M. Dörrzapf, B. Gato-Rivera, Nuclear Physics B, 558:3 503-544 (1999)
