Supervision

Guest professor

Dr. Emma Carberry guest professor in my group from November 2007 until July 2008;
the first candidate to hold a W3 guest professorship for women in early stages of their career, which has been newly created by the University of Augsburg on my initiative

Research assistants or postdocs

Dr. Alexander Alexandrov postdoc in my group October 2011 until July 2015;
matrix models and random partitions
Dr. Anda Degeratu
postdoc in my group, jointly with Prof. Sebastian Goette's group, from January, 2013 until September 2016;
geometric analysis and theoretical neurosciences
Dr. Oliver Fabert postdoc in my group October 2010 until September 2013;
symplectic field theory
Dr. Manfred Herbst
postdoc in my group from August 2009 until February 2012;
mathematical aspects of string theory and topological field theory
Dr. Santosh Kandel
postdoc in my group since August 2017;
functorial quantum field theory
Dr. Katrin Leschke postdoc in my group from October 2006 until August 2007;
theory of isoparametric submanifolds; quaternionic holomorphic geometry and conformal maps
Dr. Igor Mencattini research assistant or postdoc in my group from October 2005 until July 2007;
integrable systems, symplectic geometry, representation theory of infinite dimensional Lie algebras
Dr. Emanuel Scheidegger
postdoc in my group since October 2007;
D-branes and topological field theory
Dr. Dmytro Shklyarov
postdoc in my group from August 2009 until October 2014;
representation theory and quantum groups; noncommutative/derived algebraic geometry; topological quantum field theories and generalizations/refinements thereof

Habilitations

Dr. Emanuel Scheidegger
Habilitation procedure successfully completed at the University of Augsburg in April 2012, "Umhabilitation" successfully completed at the University of Freiburg in December 2012
D-branes and topological strings on Calabi-Yau manifolds

Postgraduate students

Florian Beck supervised by me for his Ph.D. from March 2013 until November 2016, jointly with Dr. Emanuel Scheidegger, completion of Ph.D.: November 22, 2016;
Hitchin-Systems and Calabi-Yau 3-folds, see arXiv:1707.05973
Magnus Engenhorst supervised by me for his Ph.D. from October 2009 until July 2013, completion of Ph.D.: July 21, 2014;
Bridgeland Stability Conditions in Algebra, Geometry and Physics, see arXiv:1303.6014 and arXiv:1201.5830
Nelvis Fornasin co-supervised by me for his Ph.D. since September 2016, supervisor Prof. Sebastian Goette
Eta invariants under deformation to cone-edge singularities
Oliver Gray Ph.D. student supervised by me from 2004 until 2009, completion of Ph.D.: August 3, 2009;
On the complete classification of the unitary N=2 minimal superconformal field theories, see arXiv:0812.1318
Felix Grimm supervised by me for his Ph.D. from December 2012 until October 2016, completion of Ph.D.: October 19, 2016
The Chiral de Rham Complex of Tori and Orbifolds
Yuhang Hou supervised by me for his Ph.D. since October 2017
Fabian Kertels supervised by me for his Ph.D. since December 2016
Claudia-Ioana Lazăr visiting Erasmus Ph.D. student from October 2008 until January 2009;
The study of simplicial complexes of non-positive curvature;
see Ioana-Claudia Lazăr: CAT(0) Simplicial complexes of dimension 2 are collapsible, Acta Universitatis Apulensis, Special Issue (2009), pp. 507-529
Jørgen Lye supervised by me for his Ph.D. since April 2016, jointly with JProf. Dr. Nadine Große
Minimal geodesics on K3 surfaces
Natalie Peternell co-supervised by me for her Ph.D. since May 2013, supervisor Dr. Emanuel Scheidegger
Deformation theory of Calabi-Yau 3-folds
James Smith Ph.D. student supervised by me from 2002 until 2006, completion of Ph.D.: November 3, 2006;
Picard-Fuchs differential equations for families of K3 surfaces, see arXiv:0705.3658

Diploma students

Magnus Engenhorst Diploma student supervised by me from 2008 until 2009, completion of diploma: July 24, 2009;
Random matrices, integrable systems and topological quantum field theories
Katharina Heuser Diploma student supervised by me from 2011 until 2013, completion of diploma: October 2013;
Hasse-Weil L-Funktion elliptischer Kurven über Q und deren kartesischem Produkt

Master students

Christoph Bier Master student supervised by me since from 2013 until 2014, jointly with Dr. O. Fabert, completion of Master's degree: May 2014;
String-Topologie und Hochschild-Homologie
Katharina Fischer Master student supervised by me from 2013 until 2014, completion of Master's degree: October 2014;
Die Mathieugruppe M24

Teacher's civilservice examination

Oliver Boness supervised by me from October 2015 until June 2016
Killingfelder und ihre Anwendungen
Heike-Lena Schässburger supervised by me October 2013 until March 2015; her thesis was accepted as Bachelor thesis as well
Das Plateau-Problem: Beweis und Verzweigungspunkte
Christoph Schlager supervised by me from March until October 2007;
GEALAs - Eine Verallgemeinerung der erweiterten affinen Lie-Algebren

Bachelor students

Jonathan Brugger supervised by me from July 2016 until April 2017;
Maassformen: L-Reihen, Eulerprodukte und die Eisensteinreihe
Julian Fecker supervised by me from June until September 2014;
Maass-Formen
Valentin Gebhard supervised by me from February until May 2016;
Singularities in General Relativity
Felix Linder supervised by me from February until July 2010;
Die Mathieugruppe M24
Tobias Oelschlegel supervised by me from December 2015 until March 2016;
Der Krümmungstensor und die kosmologische Konstante
Michael Ruf supervised by me from February until May 2016;
Kaluza-Klein-Theorie
Patrick Sailer supervised by me from January until June 2016;
Einige kosmologisch relevante Lösungen der Einsteinschen Feldgleichungen
Jonathan Wöhrle supervised by from March until October 2016;
Auflösung der ADE-Singularitäten

Fourth year project students

Grant Lakeland supervised by me in 2004/05;
The prime number theorem and some of its applications
David A. Stern supervised by me in 2002/03;
An exploration of the (16,6) configuration with links to Kummer Surfaces
(graphics not accepted by some ghostviewers)
Duncan A. Thacker supervised by me in 2002/03;
Calabi-Yau manifolds and the Borcea-Voisin construction
George A. Wellen supervised by me in 2002/03;
The j-invariant of elliptic curves and complex multiplication;
prize awarded for best project 2002/2003 by the Mathematics Institute, University of Warwick