2010-date: Ph.D. Cambridge Centre for Analysis, University of Cambridge
2009-2010: Part III Mathematics, University of Cambridge
2006-2009: B.A. Mathematics, University of Cambridge
My research interest is in solutions Partial Differential Equations in particulat the Wiener-Hopf method. The Wiener-Hopf method is used for a broad collection of PDEs which arise in acoustic, finance, hydrodynamic, elasticity, potential and electromagnetic theories. It is an elegant method based on the exploitation of the analyticity properties of the functions. For the scalar Wiener-Hopf the solution can be expressed in terms of a Cauchy type integral. In more complicated scalar Wiener-Hopf equations the exact solution is difficult or slow to compute. The aim is to develop approximate methods which are easily implementable, reliable and have explicit error bounds.
Kisil, A., 2012. A Constructive method for approximate solution to scalar Wiener-Hopf Equations. Submitted.
Kisil, A., 2010. Isometric action of SL2(R) on homogeneous spaces. Advances in Applied Clifford Algebras, [Online]. 20(2), 299-312. Available at: http://www.springerlink.com/content/j10l73q811625735/
Kisil, A., 2010. Gromov Conjecture on Surface Subgroups: Computational Experiments. Transactions of the Institute of Mathematics of the National Academy of Sciences of Ukraine, 11. Available at: http://arxiv.org/abs/1001.1460v1
S. D. Connell , G. Heath , P. D. Olmsted, A. Kisil, 2012. Critical point fluctuations in supported lipid membranes. Faraday Discuss. Available at: http://pubs.rsc.org/en/content/articlelanding/2013/FD/C2FD20119D
Complex Analysis IB supervisions
Topics in Analysis II supervisions
Differential Geometry II supervsions
Office: F0.13
Email: a.kisil@maths.cam.ac.uk
Address:
Cambridge Center for Analysis,
Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA
Telephone: +44 1223 339877