Geometry and Mathematical Physics

Calabi Yau Manifest illustration representing continuum mechanicsGeometry 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 Prof. Marta Mazzocco and brings together experts in algebraic geometry, integrable systems, mirror symmetry, cluster varieties, quantum groups and quantum Teichmüller theory. 

 

Group members

Dr Tyler Kelly

Dr Tyler Kelly

Reader in Geometry
Head of Geometry and Mathematical Physics
UKRI Future Leaders Fellow

School of Mathematics

Dr. Kelly is an algebraic geometer, specializing in its interactions in mathematical physics and mirror symmetry. As a member of the Geometry and Mathematical Physics groupat the University of Birmingham, Kelly conducts research that provides new geometrical insights in problems that arise from physical questions and discoveries. Kelly has broad research interests centred around mirror symmetry, ...

Email
t.kelly.1@bham.ac.uk

Dr Cyril Closset

Dr Cyril Closset

Royal Society University Research Fellow (Assistant Professor)
Birmingham Fellow

School of Mathematics

Dr Closset is a string theorist, a Royal Society University Research Fellow, a Birmingham Fellow, and a member of the Geometry and Mathematical Physics group. He specialises in string theory, quantum field theory, and other aspects of theoretical physics at the interface between high-energy physics and pure mathematics. The overall theme of his research is supersymmetry, used as a powerful ...

Email
c.closset@bham.ac.uk

Dr Shengyuan Huang

Dr Shengyuan Huang

Research Fellow

School of Mathematics

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 hyperkahler resolution conjecture.

His recent work focuses on Landau-Ginzburg model and categorical Gromov-Witten invariants. He is currently a postdoctoral research fellow in the ...

Telephone
+44 (0)534 088 0534
Email
s.huang.5@bham.ac.uk

Professor Marta Mazzocco

Professor Marta Mazzocco

Professor of Mathematics
Head of Pure Mathematics

School of Mathematics

Professor Mazzocco is a specialist in the area of integrable systems, namely mathematical problems often motivated by Mathematical Physics that present unexpected beauty - a serendipity of geometric/algebraic/analytical structures that make a very complicated problem solvable in some sense. Her research brings geometry, quantum algebra and analysis together to describe and tackle problems which ...

Telephone
+44 (0) 121414 6195
Email
m.mazzocco@bham.ac.uk

Dr Ana Peón-Nieto

Dr Ana Peón-Nieto

Lecturer (Assistant Professor)

School of Mathematics

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. This richness has led to connections with many subjects in mathematics and ...

Email
a.peon-nieto@bham.ac.uk

Dr Michel van Garrel

Dr Michel van Garrel

Assistant Professor

School of Mathematics

Dr van Garrel is a researcher in algebraic geometry and mirror symmetry. He 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.

Among his most important contributions, Dr van Garrel ...

Telephone
+44 (0) 121 414 6593
Email
m.vangarrel@bham.ac.uk

Visiting Professors

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