Oct 2015-date: Sultan Qaboos Research Fellowship/College Lectureship in Mathematics, Corpus Christi College, University of Cambridge
Dec 2014- Apr 2015: Crighton Fellowship, University of Manchester
2010-2015: Ph.D. Cambridge Centre for Analysis, Trinity College, University of Cambridge
2009-2010: Part III Mathematics, Trinity College, University of Cambridge
2006-2009: B.A. Mathematics, Trinity College, University of Cambridge
My research interest is in techniques for solving equations from mathematical physics, motivated by sound wave propagation. My research is, for example, on the construction of reliable approximations to Wiener-Hopf equations and, more generally, Riemann-Hilbert equations. These approximations are readily computed offering physically accurate information about the solution in the cases where numerical methods give poor results. More generally I am interested in developing mathematically sound methods which are practically useful in acoustics and their numerical implementation. I have worked on aeroacoustic modelling of adaptations which allow owls to fly near silently with applications of noise reduction in airframes and wind turbines.
Kisil, A., Ayton, L. , 2018. Aerodynamic noise generated by finite porous extensions to rigid trailing edges. J. Fluid Mech. (2018), vol. 836, pp. 117V144., DOI:10.1017/jfm.2017.782
Kisil, A., 2018. An Iterative Wiener--Hopf method for triangular matrix functions with exponential factors. SIAM J. Appl. Math., 78(1), 45V62 https://doi.org/10.1137/17M1136304 Available at: https://arxiv.org/abs/1703.08412
T. Rougerie, A. Kisil 2017. Combining rational approximation with asymptotic Wiener--Hopf factorisation algorithm for matrix functions: implementation and testing. J Appl Computat Math 6:374, Vol 6(4); DOI: 10.4172/2168-9679.1000374
Kisil, A., 2015. Stability analysis of matrix Wiener--Hopf factorisation of Daniele--Khrapkov class and reliable approximate factorisation. Proc. R. Soc. A 2015 471 20150146. Available at: http://arxiv.org/abs/1504.01108
Kisil, A., 2015. The relationship between a strip Wiener--Hopf problem and a line Riemann--Hilbert problem. IMA J Appl Math (2015) doi: 10.1093/imamat/hxv007. Available at: http://arxiv.org/abs/1504.00877
Kisil, A., 2013. A Constructive method for approximate solution to scalar Wiener-Hopf Equations. Proc. R. Soc. A 469, 20120721 (2013) Available at: http://arxiv.org/abs/1302.3903
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
Differential Equations IA supervisions
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