School of Mathematical Sciences

Research menu

Geometry and Analysis Group


We are a vibrant research group with expertise in algebraic, differential and noncommutative geometry, functional and harmonic analysis, mathematical relativity theory, model theory, operator algebras, partial differential equations, quantum algebra and topology. We organize regular seminars throughout the academic year and work closely with other groups in the School of Mathematical Sciences: Algebra, Combinatorics, Dynamical Systems and Statistical Physics. 

Members   Postdocs PhD students
Dr. Shabnam Beheshti   Dr. Hans Bantilan Ryan Aziz
Dr. Reto Buzano   Dr. Stephan Mescher Matthew Bassett
Prof. Cho-Ho Chu (emeritus)   Dr. Anna Pachol Gabriele Beltramo
Prof. Michael Farber   Dr. Rodrigo Panosso Macedo Gabriel Cardona
Dr. Pau Figueras (Royal Society Fellow)     Diego Carranza
Dr. Xin Li     Chen Cheng
Prof. Shahn Majid     Michael Cole
Dr. Huy Nguyen     Gianmichele Di Matteo
Dr. Arick Shao     Chenxia Gu
Dr. Juan A. Valiente Kroon (Head of Group)     Adem Hursit
      Vaibhav Kumar Jena
      Zoltan Laczko
      Florian Litzinger
      Lewis Mead
      Mikael Normann
      Ali Raad
      Lorenzo Rossi
      Lewin Strauss
      Jarrod Williams
      Liam Williams
      Peng Zhao


























Other colleagues in the department with interests in Geometry & Analysis include: Dr. Oscar BandtlowDr. Sebastian del Bano Rollin, Dr. Cecilia Busuioc, Dr. Alex Fink and Dr. Wajid Mannan.

We have many contacts and research collaborators from various institutions abroad including Alberta, Avignon, Irvine, Lisbon, Max Plank, Missouri, Munster, New York, Paris, Pisa, Leipzig, Nice, Queensland and Vienna. Recent conferences and meetings organized by group members include

  • British Mathematical Colloquium (Queen Mary, 2014)
  • Jordan Geometric Analysis and Applications (Queen Mary, 2014).
  • Applied Algebraic Topology Workshop ( Cantabria, Spain, 2014).
  • New Frontiers in Dynamical Gravity (Cambridge, 2014)
  • Operator Algebras and Dynamical Systems (LMS Workshop, Queen Mary, 2015)
  • Geometric Flows and Related Topics (Queen Mary, 2016)

Several members had been awarded in the past research grants from EPSRC, Royal Society, London Mathematical Society and other funding bodies. The following EPSRC, ERC and Royal Society grants have been awarded to some groups members since 2014.

Some books and recent publications

 C-H. Chu, Jordan structures in geometry and analysis , Cambridge University Press, 2012.
 M. Farber, Invitation to topological robotics, EMS, 2008.
 S. Majid, On space and time, Cambridge University Press, 2008.
 J.A. Valiente Kroon, Conformal methods in General Relativity, Cambridge University Press, 2016.

Shabnam Beheshti  Dressing with Control: Using Integrability to Generate Desired Solutions to Einstein’s Equations in The sine-Gordon Model and its Applications, Nonlinear Systems and Complexity, Vol. 10, 207-231 (2014)
 Xin Li : On K-theoretic invariants of semigroup C*-algebras attached to number fields, Adv. in Math. 264 (2014) 371-395.
 Reto Mueller (Buzano), Perelman's entropy functional at Type I singularities of the Ricci flow, Crelle 703 (2015) 173-199.
 Pau Figueras (with S. Tunyasuvunakool), Black rings in global anti-de Sitter space, JEHP 1503 (2015) 149.
 Juan A. Valiente Kroon (with C Lübbe), A conformal approach for the analysis of the non-linear stability of pure radiation cosmologies. Ann. Phys. 328 (2013) 1-25.