Madeleine Jotz Lean
Lecturer - School of Mathematics and Statistics
Profile
Dr Madeleine Jotz-Lean has always had a passion for mathematics and research, which was nurtured from an early age by her teachers and supervisors. She began her publication record early, with 10 articles to her name by the end of her PhD.
After moving from the US to Sheffield into a lectureship, she became more involved and interested in teaching, as well as equality and diversity, particularly tackling unconscious bias and stereotypes. She has also been involved in public outreach, using knitting and crochet to explain complex mathematical concepts to a wider audience.
Madeleine is now a Junior Professor at the University of Göttingen (Mathematisches Institut).
“Ask for advice, follow it, but also trust yourself and know what you want.”
Career timeline
2003-2006
Student representative in diverse committees (faculty board, hiring committee) at the University of Freiburg.
2007
German diploma in mathematics (and physics as a minor subject), Albert-Ludwig Universität.
2008-2011
Personal tutor to several university, senior school and prep school students, over several years.
2008
Invited talk ‘Singuläre Dirac Reduktion’ in the Seminar Wechselwirkungen, Institute of Physics, University of Freiburg.
First author paper
Closedness of the Tangent Spaces to the Orbits of Proper Actions (with Karl-Hermann Neeb) ‘Journal of Lie Theory’, Volume 18 (2008), Number 3, 517-521.
2009
First author paper
Poisson reduction by distributions (with Tudor Ratiu) ‘Letters in Mathematical Physics’ (2009), Volume 87, Numbers 1-2, 139-147.First author paper
Hedlund Metrics and the Stable Norm ‘Differential Geometry and its Applications’, Volume 27 (2009), Issue 4, 543-550.
2010
Contributed talk ‘Infinitesimal data of a Dirac Lie groupoid, and a classification of its Dirac homogeneous spaces’, fifth Young Researchers Workshop on Geometry, Mechanics and Control, Tenerife.
2010 to present
Member of the Geometric Mechanics and Control network.
2011
PhD in Mathematics, EPF Lausanne.
Invited talk ‘A generalisation of Drinfeld’s classification of Poisson homogeneous spaces of Poisson Lie groups’, GAP Seminar, Math Department, Penn State University.
Visiting researcher of the Poisson geometry group at Penn State University, USA.
Invited talk ‘The leaf space of a multiplicative foliation’, Workshop on symplectic geometry, Université du Luxembourg.
Visiting researcher of Professor Cristian Ortiz at Universidade Federal do Parana, Curitiba, Brazil.
Invited talk ‘Foliated groupoids and their infinitesimal data’, Kolloquium des Graduiertenkollegs, University of Göttingen.
First author paper
Singular reduction of Dirac structures (with Tudor Ratiu and Jedrzej Sniatycki), ‘Transactions of the AMS’ (2011), Volume 363, 2967-3013.First author paper
Induced Dirac structure on isotropy type manifolds (with Tudor Ratiu), ‘Transformation Groups’ (2011), Volume 16, Number 1, 175-191.First author paper
Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld, ‘Indiana University Mathematics Journal’ (2011), 60, Number 1, 319-366.First author paper
Invariant generators for generalized distributions (with Tudor Ratiu), ‘Differential Geometry and its Applications’ (2011), Volume 29, 826-837.First author paper
Invariant frames for vector bundles and applications (with Tudor Ratiu and Marco Zambon), ‘Geometriae Dedicata’ (2012), 158, 23-34.
2011-2012
Dorothea-Schlözer postdoctoral fellow at the University of Göttingen.
Assistant (Göttingen) for the course Linear algebra and analytical geometry.
2012
Visiting researcher of the Poisson geometry group at the University of Utrecht, The Netherlands.
Invited talk ‘IM-foliations and double subalgebroids of the tangent double algebroid’, Quarterly Seminar on Geometry and Topology, University of Utrecht.
Visiting researcher of the Poisson geometry group at Penn State University, USA.
Visiting researcher of the Poisson geometry group at the University of Toronto, Canada.
Invited talk ‘Dirac structures, Lie algebroids and Dorfman connections’, Kolloquium über reine, Mathematik, Hamburg.
Plenary talk ‘Dorfman connections and the infinitesimal data of Dirac groupoids’, Poisson 2012, Utrecht.
First author paper
Dirac structures, nonholonomic systems and reduction (with Tudor Ratiu), ‘Reports on Mathematical Physics’ (2012), Volume 69, Number 1, 5-56.
2012-2014
Postdoctoral fellow at the University of California in Berkeley, (Professor Alan Weinstein) (Swiss NSF grant for prospective researchers).
2013
First author paper
Dirac Optimal reduction, (with Tudor Ratiu), ‘International Mathematics Research Notices’ (2013), Number 1, 84-155.Four months of maternity leave, conference break for around two years.
Vice-Chancellor’s fellowship at the University of Sheffield (three years).
2014
Association for Project Management’s Introductory Certificate (The APM Project Fundamentals Qualification).
Member of SoMaS’s good practice group and Athena Swan champion.
Contributed talk ‘Dorfman connections and Courant algebroids’, 30th International Colloquium on Group Theoretical Methods in Physics, Ghent.
Member of the European Mathematical Society and London Mathematical Society.
2015
Second author paper
VB-algebroid morphisms and representations up to homotopy, (with Thiago Drummond and Cristian Ortiz), ‘Differential Geometry and its Applications’ (2015), Volume 40, 332-357.Supervision of first PhD student.
Plenary talk ‘On the correspondence of Lie 2-algebroids and VB-Courant algebroids’ at the XXXIV International Fall Workshop on Geometry and Physics, Zaragoza.
2016
Local organiser for the 14th edition of the ‘Geometry and Physics, Séminaire itinérant’, University of Sheffield.
Plenary talk at the 25th anniversary conference of the Séminaire Sophus Lie, Bedlewo.
2016-2018
Vertretungsprofessur in Göttingen.