Professional Profile

  • 2014 -- researcher, University of Coimbra, Portugal.
  • 2016 - 2018 visiting researcher, University of Texas at Austin, TX, USA.
  • 2013 - 2014 researcher, Federal University of Ceará, Fortaleza, Brazil.
  • 2012 - 2013 researcher, University of Lisbon, Portugal.


  • PhD in Mathematics, University of Lisbon, UT Austin - Portugal CoLab, 2013.
  • PhD in Mathematics, Yerevan State University, Armenia, 2009.
  • MSc (2006) & BSc (2004), Yerevan State University, Armenia.

Office location

Building 1, Level 4, Office 4412.

Research Interests

Rafayel Teymurazyan works on free boundary problems and nonlinear PDEs. The term free boundary problem (FBP) refers to a PDE to be solved both for an unknown function and for an unknown domain. FBPs arise in range of mathematical models that are used to describe a physical or biological phenomenon (for example, ice melting into water, population dynamics), or an economical or financial occurrence (American options, stock markets).


Selected publications

  • D.J. Araújo, R. Teymurazyan and V. Voskanyan, Sharp regularity for singular obstacle problems, Math. Ann. 387 (2023), 1367-1401.
  • L.A. Caffarelli, R. Teymurazyan and J.M. Urbano, Fully nonlinear integro-differential equations with deforming kernels, Comm. Partial Differential Equations 45 (2020), 847-871.
  • E.V. Teixeira and R. Teymurazyan, Optimal design problems with fractional diffusions, J. Lond. Math. Soc. (2) 92 (2015), 338-352.