Martina Chirilus-Bruckner
- Assistant Professor -
Mathematical Institute
Leiden University
P.O. Box 9512
2300 RA Leiden, THE NETHERLANDS
email: m.chirilus-bruckner -at- math.leidenuniv.nl
Research field
Welcome! I am part of the Analysis Group at the Mathematical Institute of Leiden University. My primary research interest is the analysis of applied nonlinear partial differential equations.
Short bio I received my Ph.D. in Mathematics in 2009 at the University of Karlsruhe, GER, (now Karlsruhe Institute of Technology) after my Diploma in "Technomathematik" 2006. Before joining Leiden University I held several postdoc and lecturer positions (Centrum Wiskunde en Informatica - Amsterdam (NL), Boston University - Boston (MA, U.S.A.), Brown University - Providence (RI, U.S.A.), Sydney University - Sydney (AUS)).
Further activities
- Member of the Board of NDNS+ "Nonlinear Dynamics and Natural Systems Plus" NWO-Cluster of Mathematics"
- Founding Member of the NDNS+ SAG "Analysis of PDEs"
- Member of the Education Committee of the Mathematical Institute at Leiden University
Preprints
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"Pattern formation in a Swift-Hohenberg equation with spatially periodic coefficients"
M. Chirilus-Bruckner, J. Kamphuis. Preprint in review (2025)
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"Travelling front solutions in a spatially heterogeneous reaction-diffusion system"
M. Chirilus-Bruckner, L. van Vianen, F. Veerman. Preprint in review (2025)
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"Chaotic motion and singularity structures of front solutions in multi-component FitzHugh-Nagumo-type systems"
M. Chirilus-Bruckner, J.D.M. Rademacher, P. van Heijster. Accepted in Communications of the American Mathematical Society (2025)
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"Stability of Breathers for a Periodic Klein-Gordon Equation"
M. Chirilus-Bruckner, J. Cuevas-Maraver, P.G. Kevrekidis. Entropy 2024, 26(9), 756 (2024)
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"The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation"
O. Jaibi, M. Chirilus-Bruckner, A. Doelman, E. Meron. Physica D 412 132637 (2020)
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"Pulse solutions for an extended Klausmeier model with spatially varying coefficients"
R. Bastiaansen, M. Chirilus-Bruckner, A. Doelman. SIAM J. Appl. Dyn. Syst., 19(1):1–57 (2020)
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"Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system"
M. Chirilus-Bruckner, P. van Heijster, J.D.M. Rademacher, H. Ikeda. J. Nonlinear Science 29 (6) p.2911-2953 (2019)
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"Diffusive stability for periodic metric graphs"
M. Chirilus-Bruckner, D. Maier, G. Schneider. Math. Nach. 1–14 (2018)
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"Inverse spectral theory for uniformly open gaps in a weighted Sturm-Liouville problem"
M. Chirilus-Bruckner, C.E. Wayne. J. Math. Anal. Appl. 427 (2), p. 1168-1189 (2015)
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"Butterfly catastrophe for fronts in a three-component reaction-diffusion system"
M. Chirilus-Bruckner, A. Doelman, P. van Heijster, J.D.M. Rademacher. J. Nonlinear Sci. 25 (1), p. 87-129 (2015)
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"NLS approximation of time oscillatory long waves for equations with quasilinear quadratic terms"
M. Chirilus-Bruckner, W.-P. Düll, G. Schneider. Math. Nachr.288, (2-3), p. 158–166 (2015)
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"sine-Gordon Equation:From Discrete to Continuum"
M. Chirilus-Bruckner, C. Chong, J. Cuevas, P.G. Kevrekidis. The sine-Gordon Model and its Applications. Nonlinear Systems and Complexity, 10 , p. 31-57 (2014)
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"Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation"
M. Chirilus-Bruckner, W.-P. Düll, G. Schneider. J. Math. Anal. Appl. 414 (1), p. 166-175 (2014)
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"Detection of standing pulses in periodic media by pulse interaction"
M. Chirilus-Bruckner, G. Schneider. J. Diff. Eq. 253 (7) p. 2161-2190 (2012)
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"Rigorous description of macroscopic wave packets in infinite periodic chains of coupled oscillators by modulation equations"
M. Chirilus-Bruckner, Ch. Chong, O. Prill, G. Schneider. Disc. Cont. Dyn. Sys. 5 (5) p. 879-901 (2012)
- "Breather solutions in periodic media"
C. Blank, M. Chirilus-Bruckner, V. Lescarret and G. Schneider. Comm. Math. Phys. 302 (3) p. 815-841 (2011)
- "Standing generalized modulating pulse solutions for a nonlinear wave equation in periodic media"
V. Lescarret, C. Blank, M. Chirilus-Bruckner, Ch. Chong and G. Schneider. Nonlinearity 22 (8) p. 1869-1898 (2009)
- "Separation of internal and interaction dynamics for NLS-described wave packets with different carrier waves"
M. Chirilus-Bruckner, Ch. Chong, G. Schneider, H. Uecker. J. Math. Anal. Appl. 347 (1) p. 304-314 (2008)
- "A remark about the justification of the nonlinear Schrödinger equation in quadratic spatially periodic media"
C. Blank, M. Chirilus-Bruckner, Ch. Chong, V. Lescarret, G. Schneider and H. Uecker. ZAMP 59 (3) p. 554-557 (2008)
- "On the interaction of NLS-described modulating pulses with different carrier waves"
M. Chirilus-Bruckner, G. Schneider and H. Uecker. Math. Meth. Appl. Sci. 30 (15) p. 1965-1978 (2007)
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"Interaction of oscillatory packets of water waves"
M. Chirilus-Bruckner, G. Schneider Dynamical Systems, Differential Equations and Appl., AIMS Proceedings (2015)
Teaching
Gewone Differentiaalvergelijkingen (ODEs) (Leiden University, 2025)
Mastermath PDE (jointly with Stefanie Sonner) (national course, 2023, 2024, 2025)
Dynamics & Chaos (jointly with Charlene Kalle) (Leiden University, 2022, 2023, 2024, 2025)
Numerieke Wiskunde (Numerics) (jointly with Hermen Jan Hupkes) (Leiden University, 2019, 2020, 2021, 2022, 2023)
Analyse 2 (Leiden University, 2018, 2019, 2020)
Mastermath Nonlinear Waves (jointly with Hermen Jan Hupkes and Arjen Doelman) (national course, 2017, 2018)
Analyse 3 voor Natuurkunde/Sterrenkunde (Leiden University, 2015, 2016, 2017)
Analyse 4 (complexe functietheorie) (Leiden University, 2016, 2017)
Mathematics Basic (Leiden University College, 2015)
Partial Differential Equations and Waves (normal/advanced) - MATH 3078/3978 - (jointly with Ben Goldys) (Sydney University, 2014)
Mathematics (Special Studies Program) A - MATH 1906 - (Sydney University, 2014)
Introduction to Partial Differential Equations - MATH 2065 - (Sydney University, 2013, 2014)
Linear Algebra - MA 242 - (Boston University, 2013)
Methods of Applied Mathematics - APMA 0330 - (Brown University, 2011)
Past Seminar Organization
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Dynamical Systems Seminar (Leiden University, 2018, 2019, 2022, 2023, 2024, 2025, 2026)
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Dynamical Systems Seminar (Leiden University, 2016)
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Joint Colloquium Sydney-UNSW (Sydney University, 2014)
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BU/Brown-PDE Seminar (BU/Brown University, 2011)
- Maternity/Parental leave: 2018/2019 and 2021/2022
- since November 2014
Assistant Professor at the Mathematical Institute, Leiden University, Leiden, The Netherlands - July 2013 - October 2014
Lecturer at the School of Mathematics and Statistics, University of Sydney, Sydney, Australia - January-June 2013
Lecturer at the Department of Mathematics and Statistics, Boston University, Boston, USA - 2010-2012
Postdoc at the Department of Mathematics and Statistics, Boston University, Boston, and the Division of Applied Mathematics, Brown University, Providence, USA - 2009-2010
Postdoc at the Centrum Wiskunde en Informatica, Amsterdam, the Netherlands - 2006-2009
Doctoral Studies at the Fakultät für Mathematik, Universität Karlsruhe, Karlsruhe, Germany
Grants and Awards
- 2025
SAILS grant for a Postdoc position supported by Leiden University - 2023
KIEM grant (together with Tim de Coster) supported by Leiden University - 2019
Mathematics Clusters Mathematics Cluster PhD position supported by NWO (Dutch Research Foundation) - 2015
Tenure tracker position at Leiden University supported by NWO (Dutch Research Foundation) - 2010
Scholarship for postdoctoral research granted by the German Research Foundation (DFG) - 2009
Scholarship for postdoctoral research granted by the Karlsruhe House of Young Scientists (KHYS) - 2006
Scholarship for doctoral studies granted by the research training group DFG-GRK 1294