Welcome to my page. I'm a postdoctoral researcher at the Weierstrass Institute in Berlin, working in the group of Professor Michael Hintermüller.
I'm primarily interested in quasi-variational inequalities, nonlinear PDEs, parabolic equations on evolving surfaces, fractional diffusion and free boundary problems.

Details on the course Obstacle problems and optimal control are here.

Before joining WIAS, I was a postdoctoral research fellow at the University of Warwick, where I also completed my PhD under the supervision of Professor Charles Elliott in the MASDOC doctoral training centre. My PhD examiners were Professor Juan Luis Vázquez and Professor James Robinson.

2016–	Postdoctoral research, Weierstrass Institute
2015–2016	Postdoctoral research, Mathematics Institute, University of Warwick
2012–2016	PhD in Mathematics, University of Warwick
2011–2012	Master's in Mathematics, University of Warwick
2007–2011	MMath in Mathematics and Computer Science, University of York

Please find the most up-to-date list of my papers on my Google Scholar.

1. Free boundary limits of coupled bulk-surface models for receptor-ligand interactions on evolving domains [pdf]
   with D. Caetano, C.M. Elliott and C. Venkataraman, submitted (2024).
2. Minimal and maximal solution maps of elliptic QVIs: penalisation, Lipschitz stability, differentiability and optimal control [pdf]
   with M. Hintermüller, C.N. Rautenberg and G. Wachsmuth, submitted (2023).
3. Risk-averse optimal control of random elliptic variational inequalities [pdf]
   with C. Geiersbach, M. Hintermüller and T. M. Surowiec, submitted (2022).
4. Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs [pdf]
   with D. Caetano, A. Djurdjevac and C.M. Elliott, accepted in Journal of Differential Equations (2023).
5. On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities [pdf]
   with M. Hintermüller and C.N. Rautenberg, J. Math. Anal. Appl. 507(1) Paper No. 125732, 19 (2022).
6. Optimal control and directional differentiability for elliptic quasi-variational inequalities [pdf]
   with M. Hintermüller and C.N. Rautenberg, Set-Valued Var. Anal. 30(3) (2022).
7. Stability and sensitivity analysis for quasi-variational inequalities [pdf]
   with M. Hintermüller and C.N. Rautenberg, In: Hintermüller M., Herzog R., Kanzow C., Ulbrich M., Ulbrich S. (eds) Non-smooth and complementarity-based distributed parameter systems---simulation and hierarchical optimization. Internat. Ser. Numer. Math. Birkhäuser/Springer, Cham (2022).
8. Analysis of a quasi-variational contact problem arising in thermoelasticity [pdf]
   with C. N. Rautenberg and J.F. Rodrigues, Nonlinear Anal. Paper No. 112728, 40 (2022).
9. Existence, iteration procedures and directional differentiability for parabolic QVIs [pdf]
   with M. Hintermüller and C.N. Rautenberg, Calc. Var. 59, 95 (2020).
10. Stability of the solution set of quasi-variational inequalities and optimal control [pdf]
    with M. Hintermüller and C.N. Rautenberg, SIAM J. Control Optim., 58(6), 3508–3532 (2020).
11. Recent trends and views on elliptic quasi-variational inequalities [pdf]
    with M. Hintermüller and C.N. Rautenberg, In: Hintermüller M., Rodrigues J. (eds) Topics in Applied Analysis and Optimisation. CIM Series in Mathematical Sciences. Springer, Cham (2019).
12. Directional differentiability for elliptic quasi-variational inequalities of obstacle type [pdf]
    with M. Hintermüller and C.N. Rautenberg, Calc. Var. (2019) 58: 39.
13. A coupled ligand-receptor bulk-surface system on a moving domain: well posedness, regularity and convergence to equilibrium [pdf]
    with C.M. Elliott and J. Terra, SIAM J. Math. Anal., 50(2) (2018), 1544–1592.
14. Well-posedness of a fractional porous medium equation on an evolving surface [pdf]
    with C.M. Elliott, Nonlinear Anal. 137 (2016), 3–42.
15. A Stefan problem on an evolving surface [pdf]
    with C.M. Elliott, Phil. Trans. R. Soc. A 373:20140279 (2015).
16. On some linear parabolic PDEs on moving hypersurfaces [pdf]
    with C.M. Elliott and B. Stinner, Interfaces Free Bound. 17 (2015), 157–187.
17. An abstract framework for parabolic PDEs on evolving spaces [pdf]
    with C.M. Elliott and B. Stinner, Port. Math. 72 (2015), 1–46.

21 – 25 Jan 2019	Oberwolfach workshop on Surface, Bulk, and Geometric Partial Differential Equations: Interfacial, stochastic, non-local and discrete structures
24 Nov 2018	Central European Set-Valued and Variational Analysis Meeting, U Marburg
1 – 3 Oct 2018	DFG SPP1962 annual meeting, Kremmen
8 – 13 Apr 2018	Oberwolfach workshop on Challenges in Optimal Control of Nonlinear PDE-Systems
19 – 23 Mar 2018	GAMM annual meeting, Munich
11 – 14 Oct 2017	Summer school on Nonsmooth Structures in Mathematical Models, WIAS Berlin
9 – 11 Oct 2017	DFG SPP1962 annual meeting, Kremmen
22 – 28 Jan 2017	Oberwolfach workshop on Emerging Developments in Interfaces and Free Boundaries
27 – 28 Oct 2016	DFG SPP1962 kick-off meeting, WIAS Berlin
29 Nov – 5 Dec 2015	Oberwolfach seminar on Geometric Partial Differential Equations: Surface and Bulk Processes
24 – 30 May 2015	Oberwolfach seminar on Shapes and Patterns: Analysis and Simulation
6 – 10 Jan 2014	Isaac Newton Institute school on Free Boundary Problems and Related Topics
17 – 21 Jun 2013	International conference on Recent advances in PDEs and applications, Università degli Studi di Milano

You can email me at firstname.surname@wias-berlin.de.