Geometry plays a fundamental role in Mathematical Physics, for example it underpins several theoretical models in relativistic quantum physics, typically by encoding the underlying hidden symmetries of the model at hand. The Geometry and Mathematical Physics group at the University of Birmingham was founded in 2018 by Professor Marta Mazzocco and brings together experts in algebraic geometry, integrable systems, mirror symmetry, cluster varieties, quantum groups and quantum Teichmüller theory.
Head of Geometry Group
Professor of Pure Mathematics
Head of Geometry and Mathematical Physics
UKRI Future Leaders Fellow
Professor Kelly is an algebraic geometer, specializing in its interactions in mathematical physics and mirror symmetry. Their research primarily is focused on the mirror symmetry's implications for Landau-Ginzburg models and its applications.
Royal Society University Research Fellow (Associate Professor)
The main focus of Dr Closset's research is on mathematical and 'formal' aspects of Quantum Field Theory (QFT) in the presence of supersymmetry. The underlying big question is: How do we use supersymmetry to learn more about QFT at strong coupling? Along the way there are beautiful mathematical structures to be uncovered. Many of these problems arise in string theory, or have deep relations to it.
Professor of Mathematics
Professor Mazzocco is a specialist in the area of integrable systems, namely mathematical problems often motivated by Mathematical Physics. Her research brings geometry, quantum algebra and analysis together to describe and tackle problems which have so far resisted all other methods.
Lecturer (Assistant Professor)
Dr Peón-Nieto's work focuses on Higgs bundles. These objects appeared as solutions to differential equations motivated by physics; they are to monopoles what the latter are to instantons. Several approaches allow to tackle Higgs bundles, be it from the differential, symplectic or algebraic geometric point of view.
Dr van Garrel specialises in enumerative geometry, in particular log Gromov-Witten theory, in birational geometry, especially with regards to rationality questions and in the Gross-Siebert programme as the mechanism that explains mirror symmetry and constructs mirror families.
Research and Teaching Fellows
Research Fellow in Mathematical Physics
Dr Furrer’s research deals with fundamental aspects and the mathematical structures of quantum field theory, gravity and string theory. He is in particularly interested in supersymmetry, dualities, topological field theory and modular forms.
Dr Guan's research interests are in homological and homotopical algebra, derived deformation theory and category theory.
Dr Huang is an algebraic geometer motivated by questions in homological mirror symmetry. His previous work on orbifold Hochschild cohomology uses tools from derived geometry and has applications to mirror symmetry and hyperkähler resolution conjecture.
Dr Kidwai's research lies at the interface of algebraic geometry, differential equations, and quantum field theory.
Research Associate (Marie Curie Fellow)
Dr Nikolaev's research sits at the interface of algebraic geometry, differential geometry, perturbation theory, and mathematical physics, revolving around the study of moduli spaces of meromorphic connections.
Dr Shafi's research is motivated by questions in Gromov-Witten theory and mirror symmetry, and utilises tools coming from intersection theory, toric geometry, logarithmic geometry and GIT.
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