School of Mathematics, Statistics & Actuarial Science

About

Nils joined SMSAS in summer 2015 from the Berlin Mathematical School (BMS) where he was a Dirichlet Postdoctoral Fellow. The BMS is a joint graduate school of the three mathematics departments of the public research universities in Berlin which is funded by the German Initiative for Excellence. While there, Nils was a member of the Collaborative Research Centre 647 "Space-Time-Matter" and a member of the Geometric Analysis and Spectral Theory research group at the Humboldt University of Berlin.

After completing his PhD in the autumn of 2011, at the University of Göttingen, Nils worked in the Nonlinear Analysis and Calculus of Variations group at the Polytechnic University of Turin until September 2013. He was Junior Visiting Professor and had a postdoctoral fellowship of the German Academic Exchange Service (DAAD).

Contact Information

Address

Room 270

Office hours: We 12:30-13:30/Th 11:30-12:30

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Publications

Also view these in the Kent Academic Repository

Article
Waterstraat, N. (2018). Spectral flow and bifurcation for a class of strongly indefinite elliptic systems. Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
Izydorek, M. et al. (2018). Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation. Nonlinear Analysis. Real World Applications [Online] 39:451-463. Available at: http://dx.doi.org/10.1016/j.nonrwa.2017.07.008.
Starostka, M. and Waterstraat, N. (2017). The E-cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T2n. arxiv [Online]. Available at: https://arxiv.org/abs/1708.09631.
Skiba, R. and Waterstraat, N. (2017). The Index Bundle and Multiparameter Bifurcation for Discrete Dynamical Systems. Discrete and Continuous Dynamical Systems. Series A [Online] 37:5603-5629. Available at: http://dx.doi.org/10.3934/dcds.2017243.
Marchesi, G., Portaluri, A. and Waterstraat, N. (2017). Not every conjugate point of a semi-Riemannian geodesic is a bifurcation point. arxiv.
Ciesielski, J., Janczewska, J. and Waterstraat, N. (2017). On the existence of homoclinic type solutions of inhomogenous Lagrangian systems. Differential and Integral Equations [Online] 30:259-272. Available at: http://projecteuclid.org/euclid.die/1487386825.
Candela, A. and Waterstraat, N. (2017). Bifurcation of critical points along gap-continuous families of subspaces. Journal of Fixed Point Theory and Applications [Online] 19:3053-3068. Available at: https://link.springer.com/article/10.1007/s11784-017-0468-3.
Portaluri, A. and Waterstraat, N. (2016). A K-theoretical Invariant and Bifurcation for Homoclinics of Hamiltonian Systems. Journal of Fixed Point Theory and Applications [Online] 19:833-851. Available at: https://link.springer.com/article/10.1007/s11784-016-0378-9.
Waterstraat, N. (2016). A Remark on Bifurcation of Fredholm Maps. Advances in Nonlinear Analysis [Online]. Available at: https://doi.org/10.1515/anona-2016-0067.
Waterstraat, N. (2016). Fredholm Operators and Spectral Flow. arxiv.
Starostka, M. and Waterstraat, N. (2015). A remark on singular sets of vector bundle morphisms. European Journal of Mathematics [Online] 1:154-159. Available at: http://www.dx.doi.org/10.1007/s40879-014-0010-8.
Waterstraat, N. (2015). A family index theorem for periodic Hamiltonian systems and bifurcation. Calculus of Variations and Partial Differential Equations [Online] 52:727-753. Available at: http://www.dx.doi.org/10.1007/s00526-014-0731-z.
Waterstraat, N. (2015). Spectral flow, crossing forms and homoclinics of Hamiltonian systems. Proceedings of the London Mathematical Society [Online] 3:275-304. Available at: http://www.dx.doi.org/10.1112/plms/pdv028.
Portaluri, A. and Waterstraat, N. (2015). Yet another proof of the Morse index theorem. Expositiones Mathematicae [Online] 33:378-386. Available at: http://www.dx.doi.org/10.1016/j.exmath.2014.12.004.
Portaluri, A. and Waterstraat, N. (2015). A Morse-Smale index theorem for indefinite elliptic systems and bifurcation. Journal of Differential Equations [Online] 258:1715-1748. Available at: http://www.dx.doi.org/10.1016/j.jde.2014.11.010.
Bei, F. and Waterstraat, N. (2015). On the space of connections having non-trivial twisted harmonic spinors. Journal of Mathematical Physics [Online]:93505. Available at: http://www.dx.doi.org/10.1063/1.4931368.
Portaluri, A. and Waterstraat, N. (2014). Bifurcation results for critical points of families of functionals. Differential Integral Equations [Online] 27:369-386. Available at: http://projecteuclid.org/euclid.die/1391091370.
Portaluri, A. and Waterstraat, N. (2014). On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls. Journal of Mathematical Analysis and Applications [Online] 415:240-246. Available at: http://www.dx.doi.org/10.1016/j.jmaa.2014.01.064.
Waterstraat, N. (2013). A remark on the space of metrics having non-trivial harmonic spinors. Journal of Fixed Point Theory and Applications [Online] 13:143-149. Available at: http://www.dx.doi.org/10.1007/s11784-013-0096-5.
Portaluri, A. and Waterstraat, N. (2013). On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem. Journal of Mathematical Analysis and Applications [Online] 408:572-575. Available at: http://www.dx.doi.org/10.1016/j.jmaa.2013.06.037.
Pejsachowicz, J. and Waterstraat, N. (2013). Bifurcation of critical points for continuous families of C^2 functionals of Fredholm type. Journal of Fixed Point Theory and Applications [Online] 13:537-560. Available at: http://www.dx.doi.org/10.1007/s11784-013-0137-0.
Waterstraat, N. (2011). A K-Theoretic Proof of the Morse Index Theorem in Semi-Riemannian Geometry. Proceedings of the American Mathematical Society [Online] 140:337-349. Available at: http://dx.doi.org/10.1090/S0002-9939-2011-10874-8.
Waterstraat, N. (2011). The index bundle for Fredholm morphisms. Rendiconti del Seminario Matematico 3:299-315.
Book section
Waterstraat, N. (2015). On bifurcation for semilinear elliptic Dirichlet problems on shrinking domains. in: Escher, J. et al. eds. Elliptic and Parabolic Equations. Cham: Springer, pp. 273-291.
Waterstraat, N. (2012). The index bundle for gap-continuous families and the spectral flow. in: Bruening, J., Mazzeo, R. and Piazza, P. eds. Analysis and Geometric Singularities. EMS, pp. 1530-1532. Available at: http://dx.doi.org/10.4171/OWR/2012/25.
Total publications in KAR: 25 [See all in KAR]
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Research Interests

Topological methods in Functional Analysis and their applications to Geometry and Differential Equations

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Teaching

MA6524/MA7524: Metric and Normed Spaces back to top

Research Supervisees

 

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School of Mathematics, Statistics and Actuarial Science (SMSAS), Sibson Building, Parkwood Road, Canterbury, CT2 7FS

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Last Updated: 02/10/2017