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Andrew H N Lorent
Assistant Professor
829 Old Chemistry Building
513-556-4050
andrew.lorent@uc.edu
http://alorent.googlepages.com/
Professional Summary
Assistant Professor of Mathematics.
Education
PhD, University College London, UK, 1999 (Mathematics).
Bsc, Kings College London, UK, 1995 (Mathematics).
Positions & Work Experience
10-2007-10-2008, Emma e Giovanni Sansone Junior Visitor., Centro di Ricerca Matematica Ennio. De Giorgi., Pisa, Italy.
04-2005-10-2007, PostDoc, Max Planck Institute for Mathematics in the sciences, Leipzig, Germany.
04-2003-04-2005, EPSRC Postdoctoral fellow, Mathematical Institute, Oxford, UK.
06-2002-04-2003, PostDoc, Scuola Normale Superiore., Pisa, Italy.
09-2001-06-2002, PostDoc, Mathematics Department of the University of Jyvaskyla., Finland.
10-1999-09-2001, PostDoc, Max Planck Institute for Mathematics in the sciences, Leipzig, Germany.
04-1999-10-1999, Visitor, Mathematics Department of the University of Jyvaskyla, Finland.
Peer Reviewed Publications
R.L. Jerrard, A. Lorent, (2008). On multiwell Liouville Theorems in higher dimension.
A. Lorent. The regularisation of the N-well problem by finite elements and by singular perturbation are scaling equivalent in two dimensions. Control, Optimisation and Calculus of Variations.
A. Lorent (2008). An L^p two well Liouville Theorem. Ann. Acad. Sci. Fenn. Math, 33 (2008).(no. 2), 439--473.
A. Lorent (2007). A Marstrand theorem for measures with polytope density. Math. Ann., 338 (2007)(no. 2), 451--474.
A. Lorent (2006). The two-well problem with surface energy. Proc. Roy. Soc. Edinburgh Sect., 136 (2006)(no. 4), 795--805.
A. Lorent (2005). A two well Liouville theorem. Control, Optimisation and Calculus of Variations, 11 (2005)(no. 3), 310--356.
A. Lorent (2004). A Marstrand type theorem for measures with cube density in general dimension. Math. Proc. Cambridge Philos. Soc., 137 (2004)(no. 3), 657--696.
A. Lorent (2003). A generalised conical density theorem for unrectifiable sets. Ann. Acad. Sci. Fenn. Math, 28 (2003), no. 2, 415--431.
A. Lorent (2003). Rectifiability of measures with locally uniform cube density. Proc. London Math. Soc., 86 (2003).(no. 1), 153--249.
A. Lorent (2001). An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure. M2AN Math. Model. Numer. Anal., 35 (2001)(no. 5), 921--934.
Other Experience and Professional Memberships
1998-to Present, London Mathematical Society.
