# Home

## Contact

Dr Nikola PopovicSenior Lecturer

School of Mathematics and

Maxwell Institute of Mathematical Sciences

University of Edinburgh

James Clerk Maxwell Building

King's Buildings, Peter Guthrie Tait Road

Edinburgh, EH9 3FD

United Kingdom

Nikola.Popovic@ed.ac.uk

(+44)(0)131 6517031

## Interests

I am an applied mathematician whose research interests lie in dynamical systems and differential equations. My current research focuses on the geometric analysis of modelling applications from biology, medicine and neuroscience and on the development of techniques for reducing the complexity of these models. My approach relies on a combination of analysis and numerical simulation; specific techniques include (geometric) singular perturbation theory, geometric desingularisation ("blow-up"), invariant manifold theory and asymptotic analysis, as well as low-rank approximation and hierarchical matrix techniques.## Biography

- Senior Lecturer (School of Mathematics, University of Edinburgh), August 2015-present

- Investigator (Synthetic and Systems Biology Edinburgh, University of
Edinburgh), September 2014-present

- Honorary Fellow (School of Mathematical and Computer Sciences, Heriot-Watt University),
September 2009-present

- Lecturer (School of Mathematics, University of Edinburgh), September 2012-August
2015

- RCUK Fellow in Modelling and Understanding Complexity (School of Mathematics,
University of Edinburgh), September 2007-August 2012

- Research Associate (Center for BioDynamics and Department of Mathematics and
Statistics, Boston University, USA), September 2004-August 2007

- Postdoctoral Fellow (Department of Applied Mathematics and Numerical Analysis,
now Institute for Analysis and Scientific Computing, Vienna University of Technology,
Austria), January 2003-August 2004

- Doctorate in Mathematics (with distinction): PhD (Dr.techn.), December 17, 2002

- Graduate student (Mathematics, Vienna University of Technology, Austria), November
2000-December 2002

- Diploma in Mathematics (with distinction): MSc (DI), October 11, 2000

- Undergraduate student (Mathematics and Chemistry, Vienna University of Technology, Austria), October 1994-October 2000

Photograph courtesy of Peter Richtarik.