I work on a variety of physically-motivated problems, mainly fluid-dynamical in nature, and many of which arise in industrial applications. More details of specific projects may be found under the "Research" tab. I co-organize the annual MPI (Mathematical Problems in Industry) workshop, which facilitates collaborations between industrialists and academic applied mathematicians. I am currently Associate Dean for Research and Graduate Education within the College of Science and Liberal Arts at NJIT.

- D.Phil., Applied Mathematics, University of Oxford (UK)
- B.A., Mathematics, University of Oxford (UK)

I work on a variety of physically-motivated problems, mainly fluid dynamical in nature, and many of which arise in industrial applications. I use mathematical modeling coupled with asymptotic analysis to derive tractable, predictive models of real systems.

*Current research projects and interests include*:

- Mathematical modeling of membrane filtration
- Thin film flow of nematic liquid crystals
- Applications of nematic liquid crystals in display devices
- Heat transport and phase change in thin films
- Mathematical modeling of tissue engineering
- Mathematical modeling of Ischemia-Reperfusion Injury
- Complex variable methods applied to free boundary problems

- Sanaei, P., Richardson, G., Witelski, T.P., Cummings, L.J. Flow and fouling in a pleated membrane filter.
*J. Fluid Mech*. 795, 36-59 (2016). - Afkhami, S., Cummings, L.J., Griffiths, I.M. Interfacial deformation and jetting of a magnetic fluid.
*Computers & Fluids*, 124, 149-156 (2016). - Mema, E., Kondic, L., Cummings, L.J. Substrate-induced gliding in a nematic liquid crystal layer.
*Phys. Rev. E*, 92, 062513 (2015). - Anderson, T.G., Mema, E., Kondic, L., Cummings, L.J. Transitions in Poiseuille flow of nematic liquid crystal.
*International Journal of Nonlinear Mechanics*, 75, 15-21 (2015). - Lam, M.A., Cummings, L.J., Lin, T.-S., Kondic, L. Three dimensional coating flow of nematic liquid crystal on an inclined substrate.
*Europ. J. Appl. Math*. 26, 647-669 (2015). - Cummings, L.J., Mema, E., Cai, C., Kondic, L. Electric field variations within a nematic liquid crystal layer.
*Phys. Rev. E*. 90, 012503 (2014). - Lam, M.A., Cummings, L.J., Lin, T.-S., Kondic, L. Modeling flow of nematic liquid crystal down an incline.
*J. Eng. Math*. 94, 97-113 (2015). - Cummings, L.J., Low, J., Myers, T.G. Extensional flow of nematic liquid crystal under electric field gradient.
*Europ. J. Appl. Math*., 25, 397-423 (2014). - Pohlmeyer, J., Cummings, L.J. Cyclic loading of growing tissue in a bioreactor: Mathematical model and asymptotic analysis.
*Bull. Math.**Biol*. 75, 2450-2473 (2013). - Cummings, L.J., Cai, C., Kondic, L. Bifurcation properties of nematic liquid crystals exposed to an electric field: switchability, bistability and multistability.
*Phys. Rev. E*. 88, 012509 (2013). - Lin, T.-S., Cummings, L.J., Archer, A.J., Kondic, L., Thiele, U. Note on the hydrodynamic description of thin nematic films: strong anchoring model.
*Phys. Fluids*25 (8), 082102 (2013). - Lin, T.-S., Kondic, L., Thiele, U., Cummings, L.J. Modelling spreading dynamics of nematic liquid crystals in three spatial dimensions.
*J. Fluid Mech*. 729, 214-230 (2013). - Taroni, M., Breward, C.J.W., Cummings, L.J., Griffiths, I.M. Asymptotic solutions of glass temperature profiles during steady optical fiber drawing.
*J. Engng. Math*. 80 (1), 1-20 (2013). - Cummings, L.J., Cai, C., Kondic, L. Towards an optimal model for a bistable nematic Liquid Crystal Display device.
*J. Engng. Math*. 80 (1), 21-38 (2013). - Pohlmeyer, J., Waters, S.L., Cummings, L.J. Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold.
*Bull. Math. Biol*. 75 (3), 393-427 (2013).