Lynn HellerCurriculum Vitae

Mathematisches Institut der Universität TübingenAuf der Morgenstelle 10 72076 Tübingen

T 07071 2976694B lynn-jing.heller@uni-tuebingen.de

Personal Details

Date of Birth October 31st, 1985.Nationality German.

Marital status Married, 3 children.

Research Interests

Currently I aim at answering Differential Geometric questions arising in the studyof constant mean curvature surfaces as well as (constrained) Willmore surfaces (in3−dimensional space forms) by combining techniques from Geometric Analysis,Integrable Systems (e.g., Hitchin System) and Algebraic Geometry (e.g.,Higgsbundles and moduli spaces)

Education

2009-2012 PhD in Mathematics, Eberhard Karls University Tübingen.Thesis title: Equivariant Constrained Willmore Tori in S3.

Advisor: Prof. Dr. Franz Pedit.2003–2008 Diplom (MSc equivalent) in Mathematics, TU Berlin.

Diplom thesis advisor: Prof. Dr. Ulrich Pinkall.2003–2007 Diplom (MSc equivalent) in Business Administration, FU Berlin.

Employment

from 04/2017 Juniorprofessor in Pure Mathematics at Leibniz University Hannover.since 04/2014 Margarete von Wrangell fellow at Eberhard Karls University Tübingen.

01/2013 - 03/2014 PostDoc at Eberhard Karls University Tübingen.07/2012- 12/2012 Maternity leave.01/2009 - 06/2012 PhD student at Eberhard Karls University Tübingen.08/2008- 12/2008 Maternity leave.10/2007 - 06/2012 Teaching assistant, Eberhard Karls University Tübingen.

Awards and Grants

2015-2017 Research grant within the "Eliteprogramm für PostdoktorandInnen" (PI) of thestate Baden-Württemberg. (113.000 Euro)

2014 - 2019 Margarete von Wrangell fellowship of the state Baden-Würtemberg and theEuropean Social Fund. (∼ 200.000 Euro)

2014 Participant of the second Heidelberg Laureates Forum.2013-2014 Research grant "Projektförderung für NachwuchswissenschaftlerInnen" (PI)

within the excellence Initiative of the Eberhard Karls University Tübingen.(∼ 30.000 Euro)

2013 Oberwolfach Leibniz Graduate Student at the Workshop "Progress in surfacetheory".

PublicationsAccepted and published

1. Heller, L., Heller, S., Schmitt, N., Spectral curve theory for (k, l)−SymmetricCMC Surfaces of Higher Genus. J. Geom. Phys., vol 98, pp 201–213, 2015.

2. Heller, L., Heller, S. Abelianization of Fuchsian systems on a 4−punctured sphereand applications. Accepted for publication in Journal of Symplectic Geome-try. Preprint: arXiv:1404.7707.

3. Heller, L. Constrained Willmore and CMC Tori in the 3−Sphere. Differ. Geom.Appl., vol 40, pp 232–242, 2015.

4. Heller, L. Equivariant Constrained Willmore Tori in the 3−Sphere. Math. Z.,vol 278, no. 3, pp 955-977, 2014.

5. Heller, L. Constrained Willmore Tori and Elastic Curves in 2−Dimensional SpaceForms. Comm. Anal. Geom., vol 22, no. 2, pp 343–369, 2014.

6. Heller, L. Constrained Willmore Hopf tori. Oberwolfach Reports, vol 10, no.2, 2013.

7. Heller, L. Equivariant Constrained Willmore Tori in S3. PhD Thesis, EberhardKarls University Tübingen, 2012.

Preprints8. Heller, L., Heller, S., Schmitt, N., Exploring the Space of Compact Symmetric

CMC Surfaces. Preprint: arXiv: 1503.07838.9. Heller, L., Heller, S., Schmitt, N., Navigating the Space of Symmetric CMC

Surfaces. Preprint: arXiv:1501.01929.10. Heller, L. Dirac Tori. Preprint: arXiv:1401.7449.11. Heller, L., C. B. Ndiaye., First explicit constrained Willmore minimizers of

non-rectangular conformal class. Preprint 2016.

In Preparation12. Heller, L., Heller, S., Deformation theory for spectral data of CMC surfaces.13. Heller, L., Pedit, F., Schmitt, N., Constrained Willmore minimizers - theory and

experiments.

Invited Talks

06/2016 Constrained Willmore Minimizer. 38th Southern-German Differential GeometryColloquium, Mainz.

04/2016 Integrable Flächentheorie. Pure mathematics workshop, Hannover.04/2016 An integrable systems approach to surface theory. Loughborough University.02/2016 Constrained Willmore minimizers. MORITO One-Day Meeting on Differential

Geometry and Integrable Systems, Tokyo University of Science, Japan.

02/2016 Deformation theory of spectral data. OCAMI-KOBE-WASEDA Joint InternationalWorkshop on Differential Geometry and Integrable Systems, Osaka City University,Japan.

12/2015 Abelianiazation of Fuchsian Systems and Applications. Tsinghua University,Beijing, China.

11/2015 Higher genus constant mean curvature surfaces in the 3−sphere. Yorkshire DurhamGeometry Days, University of York.

08/2015 Navigating the space of symmetric CMC surfaces. George Boole MathematicalSciences Conference, Theme 4: Geometry and Visualization, University CollegeCork.

05/2015 Moduli spaces, integrable systems and applications to surface theory. Meeting ofthe German chapter of European Women in Mathematics, Rauischholzhausen.

12/2014 Abelianization of Fuchsian Systems and its Application to Surface Theory.Oberseminar Differentialgeometrie, WWU Münster.

06/2014 Constrained Willmore Minimizers - Theory and Experiments. KiS Seminar, TUBerlin.

11/2013 Constrained Willmore Hopf tori. Pure mathematics seminar, University of Leices-ter.

05/2013 Constrained Willmore Tori and Elastic Curves. Workshop on Progress in SurfaceTheory, MFO Oberwolfach.

03/2012 Equivariant Constrained Willmore Tori in the 3−Sphere. Hausdorff TrimesterProgramm: Integrability in Geometry and Mathematical Physics, HIM Bonn.

04/2011 Equivariant Constrained Willmore Tori in S3. Young Researchers in Mathematics,University of Warwick.

10/2010 Constrained Willmore Tori of Spectral Genus one. SFB TR 71 conference, Königs-feld.

Teaching experienceCourses as instructor of record

SS 16 Gewöhnliche Differentialgleichungen (ordinary differential equations)WS 15/16 Quaternionische Flächentheorie (quaternionic surface theory)

SS 15 Klassifikation kompakter Flächen (classification of compact surfaces)WS 14/15 Proseminar: Kurven (curves)WS 13/14 Proseminar: Projektive Geometrie

Courses as teaching assistantWS 14/15 Analysis III

SS 14 Stochastik I (probability theory and statistics)SS 13 Seminar: Differentialgeometrie

WS 11/12 Differentialgeometrie ISS 10 Seminar: Von der Zahl zur Geometrie

WS 10/11 Analysis IWS 09/10 Analysis III

SS 08 Stochastik I (probability theory and statistics)WS 07/08 Analysis III

Miscellanea

since 2011 Equal opportunity officer of the mathematics institute in Tübingen.2014 Participation in the NIMS-IMAGINARY exhibition at the ICM in Seoul.

2013/2014 Organization of mathematics workshops for children within the ”Kinder-Uni-Forschertag” in Tübingen.

2013 Participation in the exhibition ”Wie Schönes Wissen Schafft” at the Museum ofthe University of Tübingen.

August 12, 2016