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" has been awarded the 2019 Reinhart-Heinrich Doctoral Thesis Award by the European Society for Mathematical and Theoretical Biology (ESMTB).
I am primarily interested in mathematical and numerical analysis of partial differential equations and their applications in biology, physics, engineering and data science. 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" has been awarded the 2019 Reinhart-Heinrich Doctoral Thesis Award by the European Society for Mathematical and Theoretical Biology (ESMTB).
I am primarily interested in mathematical and numerical analysis of partial differential equations and their applications in biology, physics, engineering and data science. 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
| 04/2021 | Our article Autophosphorylation and the dynamics of the activation of Lck has been accepted in the Bulletin of Mathematical Biology. |
| 03/2021 | Our article Mean-field optimal control for biological pattern formation has been accepted in ESAIM: Control, Optimisation and Calculus of Variations. |
| 01/2021 | Our article Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics has been accepted in Discrete and Continuous Dynamical Systems - A. |
| 09/2020 | Our article Mean-field optimal control for biological pattern formation is available on arXiv. |
| 09/2020 | Our article 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 article 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 article 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 article 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 article 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 article Stability analysis of line patterns of an anisotropic interaction model has been accepted in the SIAM Journal on Applied Dynamical Systems. |
| 05/2019 | Our article ODE- and PDE-based modeling of biological transportation networks has been accepted in Communications in Mathematical Sciences. |
| 04/2019 | Our article Rigorous Continuum Limit for the Discrete Network Formation Problem has been accepted in Communications in Partial Differential Equations. |
| 03/2019 | Our article 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 article 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 article An Anisotropic Interaction Model for Simulating Fingerprints has been accepted in the Journal of Mathematical Biology. |
| 01/2019 | Our article Auxin transport model for leaf venation is available on arXiv. |
| 08/2018 | Our article 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 article 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 article 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 article 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 article 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 article 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 article 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 article 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. |