L.M.Kreusser [at] damtp.cam.ac.uk
Pavillion F2.07
Centre for Mathematical Sciences
Wilberforce Road
Cambridge CB3 0WA
United Kingdom
Lisa Maria Kreusser
About me
I am a Nevile Research Fellow at the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge, UK. I am also affiliated with the Cantab Capital Institute for the Mathematics of Information.
I did my PhD at the Department of Applied Mathematics and Theoretical Physics (DAMTP) and at the Cambridge Centre for Analysis (CCA), within the University of Cambridge, UK, under the supervision of Professor Peter A. Markowich and Professor Carola-Bibiane Schönlieb. My thesis "Anisotropic nonlinear PDE models and dynamical systems in biology" is available here.
Before coming to Cambridge I did a Bachelor of Science and a Master of Science in Mathematics at the University of Kaiserslautern, Germany, with a semester at the National University of Singapore, Singapore. I wrote my master's thesis on 'Particle approximation and trend to equilibrium for a delay mean-field equation' under the supervision of Professor Axel Klar.
I am primarily interested in mathematical and numerical analysis of partial differential equations and their applications in biology, physics and engineering. My current research interests include nonlinear reaction-diffusion equations, kinetic equations and interacting particle models.
I was the Vice-President and President of the SIAM-IMA Cambridge Student Chapter and the Emmy Noether Society in the academic years 2017/2018 and 2018/2019.
I did my PhD at the Department of Applied Mathematics and Theoretical Physics (DAMTP) and at the Cambridge Centre for Analysis (CCA), within the University of Cambridge, UK, under the supervision of Professor Peter A. Markowich and Professor Carola-Bibiane Schönlieb. My thesis "Anisotropic nonlinear PDE models and dynamical systems in biology" is available here.
Before coming to Cambridge I did a Bachelor of Science and a Master of Science in Mathematics at the University of Kaiserslautern, Germany, with a semester at the National University of Singapore, Singapore. I wrote my master's thesis on 'Particle approximation and trend to equilibrium for a delay mean-field equation' under the supervision of Professor Axel Klar.
I am primarily interested in mathematical and numerical analysis of partial differential equations and their applications in biology, physics and engineering. My current research interests include nonlinear reaction-diffusion equations, kinetic equations and interacting particle models.
I was the Vice-President and President of the SIAM-IMA Cambridge Student Chapter and the Emmy Noether Society in the academic years 2017/2018 and 2018/2019.
News
| 01/2021 | Our paper Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics has been accepted in Discrete and Continuous Dynamical Systems - A. |
| 09/2020 | Our paper Mean-field optimal control for biological pattern formation is available on arXiv. |
| 09/2020 | Our paper A Deterministic Gradient-Based Approach to Avoid Saddle Points is available on arXiv. |
| 08/2020 | I have been awarded the 2019 Reinhart-Heinrich Doctoral Thesis Award for the best doctoral thesis in the area of Mathematical and Theoretical Biology by the European Society for Mathematical and Theoretical Biology (ESMTB). |
| 07/2020 | Our paper On anisotropic diffusion equations for label propagation is available on arXiv. |
| 02/2020 | I have been invited to give a talk at the Rising Stars in Computational and Data Sciences Workshop, Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, USA. |
| 02/2020 | Organiser of the minisymposium "PDE models in life and social sciences" at the 8th European Congress of Mathematics, Portorož, Slovenia. |
| 01/2020 | Our paper Detection of high codimensional bifurcations in variational PDEs has been accepted in Nonlinearity. |
| 01/2020 | I am a visiting research fellow at the University of Warwick from January until June 2020. |
| 12/2019 | Our paper Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics is available on arXiv. |
| 11/2019 | My thesis "Anisotropic nonlinear PDE models and dynamical systems in biology" is available here. |
| 10/2019 | Our paper Auxin transport model for leaf venation has been accepted in the Proceedings of the Royal Society. |
| 10/2019 | I have started my Junior Research Fellowship (Nevile Research Fellowship in Mathematics) at Magdalene College, Cambridge. |
| 08/2019 | Our paper Stability analysis of line patterns of an anisotropic interaction model has been accepted in the SIAM Journal on Applied Dynamical Systems. |
| 05/2019 | Our paper ODE- and PDE-based modeling of biological transportation networks has been accepted in Communications in Mathematical Sciences. |
| 04/2019 | Our paper Rigorous Continuum Limit for the Discrete Network Formation Problem has been accepted in Communications in Partial Differential Equations. |
| 03/2019 | Our paper Detection of high codimensional bifurcations in variational PDEs in collaboration with Prof. Robert I. McLachlan and Christian Offen (both from Massey University, New Zealand) is available on arXiv. |
| 01/2019 | Our paper A Deterministic Approach to Avoid Saddle Points in collobarion with Stanley J. Osher and Bao Wang (both from UCLA) is available on arXiv. |
| 01/2019 | Our paper An Anisotropic Interaction Model for Simulating Fingerprints has been accepted in the Journal of Mathematical Biology. |
| 01/2019 | Our paper Auxin transport model for leaf venation is available on arXiv. |
| 08/2018 | Our paper Rigorous Continuum Limit for the Discrete Network Formation Problem is available on arXiv. |
| 07/2018 | I have been invited by Prof. A. Stuart to visit him at California Institute of Technology, Pasadena, USA in December 2018. |
| 06/2018 | Our paper Stability analysis of line patterns of an anisotropic interaction model is available on arXiv. |
| 05/2018 | I have been invited by Prof. A. L. Bertozzi to visit her at the University of California, Los Angeles (UCLA), Los Angeles, USA, from October 1 to December 8, 2018. |
| 05/2018 | Our paper ODE- and PDE-based modeling of biological transportation networks is available on arXiv. |
| 04/2018 | I am going to visit Prof. R. McLachlan at Massey University, Palmerston North, New Zealand, from July 16 to August 16, 2018. |
| 03/2018 | I have been invited to give a talk at the 2018 Annual Meeting of the Society for Mathematical Biology & the Japanese Society for Mathematical Biology, University of Sydney, Australia, in July 2018. |
| 12/2017 | Our paper Application of Quantitative Inline NMR Spectroscopy for Investigation of a Fixed-Bed Chromatographic Reactor Process has been accepted for publication in the Chemical Engineering Journal. |
| 11/2017 | Our paper An Anisotropic Interaction Model for Simulating Fingerprints is available on arXiv. |
| 11/2017 | I have been invited to give a talk at the SIAM Conference on Analysis of Partial Differential Equations, Baltimore, Maryland, USA, in December 2017. |
| 10/2017 | Our paper Pattern formation of a nonlocal, anisotropic interaction model has been accepted for publication in Mathematical Models and Methods in Applied Sciences. |
| 08/2017 | I have been elected the President of the SIAM-IMA Cambridge Student Chapter for the academic year 2017/2018. |
| 06/2017 | Our paper Trend to equilibrium for a delay Vlasov-Fokker-Planck equation and explicit decay estimates has been accepted for publications in the SIAM Journal on Mathematical Analysis. |
| 06/2017 | I have been elected the President of the Emmy Noether Society for the academic year 2017/2018. |
| 04/2017 | Updated version of the paper Pattern Formation of a Nonlocal, Anisotropic Interaction Model available. |
| 03/2017 | I am an invited speaker at the conference Mathematical Methods and Modeling of Biophysical Phenomena in Rio de Janeiro in December 2017. |