Preprints
Tracking the symmetries of Z3-orbifold K3s within the Mathieu groups
Refereed publications
Folding of Hitchin systems and crepant resolutions
The Conway Moonshine Module is a Reflected K3 Theory
- Adv. Theor. Math. Phys. 24, no 5 (2020), 1247-1323
- arXiv:1704.03813 [hep-th]
SU(2) channels the cancellation of K3 BPS states
- JHEP 2020:184, (2020) 32 pages
- arXiv:1908.03148 [hep-th]
Hodge-elliptic genera and how they govern K3 theories
Not Doomed to Fail
- JHEP 2018:62 (2018); 10 pages
- arXiv:1708.01563 [hep-th]
K3 en route From Geometry to Conformal Field Theory
- Proceedings of the 2013 Summer School “Geometric, Algebraic and Topological Methods for Quantum Field Theory” in Villa de Leyva, Colombia, World Scientific (2017), pp 75-110
- arXiv:1503.08426 [math.DG]
A twist in the M24 moonshine story
Symmetry-surfing the moduli space of Kummer K3s
- Proceedings of the Conference String-Math 2012
- Proceedings of Symposia in Pure Mathematics 90 (2015), 129-153
- arXiv:1303.2931 [hep-th]
- Mathematical Aspects of Quantum Field Theories, D. Calaque and Th. Strobl, eds.
- Mathematical Physics Studies, Springer 2015, pp. 89-129
- arXiv:1404.3108 [hep-th]
A K3 sigma model with Z28 : M20 symmetry
The overarching finite symmetry group of Kummer surfaces in the Mathieu group M24
On the geometry of singularities in quantum field theory
- Proceedings of the International Congress of Mathematicians Hyderabad, August 19-27, 2010
- Hindustan Book Agency (2010), 2144-2170
Friendly giant meets pointlike instantons? On a new conjecture by John McKay
- Moonshine - The First Quarter Century and Beyond, A Workshop on the Moonshine Conjectures and Vertex Algebras
- LMS Lecture Notes Series no. 372 (2010), 55-127
- Augsburg preprint number 037/2007
On orbifolds and free fermion models
- Journal of Geometry and Physics 59 (2009), 942-968
- arXiv:0809.0330
- Augsburg Preprint Number 032/2008
A Family of SCFTs hosting all very attractive relatives of the (2)4 Gepner model
- JHEP 0603:102 (2006)
- hep-th/0512223
Superconformal orbifolds involving the fermion number operator
Limits and Degenerations of Unitary Conformal Field Theories
Orbifold Constructions of K3:
A Link between Conformal Field Theory and Geometry
A Link between Conformal Field Theory and Geometry
- Orbifolds in Mathematics and Physics, Contemp. Math. 310 (2002) pp. 333-358
- hep-th/0112006
Mirror Symmetry on Kummer Type K3 Surfaces
Consistency of Orbifold Conformal Field Theories on K3
- Adv. Theor. Math. Phys. 5 (2001), 429-456
- hep-th/0010281
Crystallographic Orbifolds: Towards a Classification of Unitary Conformal Field Theories with Central Charge c=2
- JHEP 0006:012 (2000)
- hep-th/0002227
A Hiker's Guide to K3. Aspects of N=(4,4) Superconformal Field Theory with Central Charge c=6
Extremal Kaehler metrics and Ray-Singer analytic torsion
- Geometric Aspects of Partial Differential Equations, Contemp. Math. 242 (1999), pp. 135-160
- math.DG/9904048
Critical metrics with respect to Ray-Singer analytic torsion and Quillen metric
- Analysis, numerics and applications of differential and integral equations
- Pitman Res. Notes Math. Ser. 379 (1998), pp. 245-250
Invited publications
Mathematical Foundations of Conformal Field Theory and Applications
- Proceedings of the COPROMAPH International School, Cotonou, Benin, October 26 - November 4, 2012, ICMPA-UNESCO Chair, 180-223
Decoding the geometry of conformal field theories
- Lie Theory and Its Applications in Physics VII, Bulgarian Journal of Physics 35 (s1) (2008), 139-150
- arXiv:0803.0657
- Augsburg preprint number 021/2008
On degenerating sequences of CFTs and their geometric interpretations
- Oberwolfach Report No. 24/2004 (2004), pp. 1301-1302
On Superconformal Field Theories Associated to Very Attractive Quartics
Books and reports edited
String-Math 2022
- Proceedings of the String-Math Conference, July 11-15, 2022, University of Warsaw, Poland
- Proceedings of Symposia in Pure Mathematics, vol. 107, American Mathematical Society (2024)
- Oberwolfach Reports, Volume 9, Issue 2, 2012, pp. 1361-1404
a collection of articles by selected female professors across mathematics for a general audience like school finalists, first year students, and teachers in mathematics
- Vieweg+Teubner 2011, 469 pages
- Oberwolfach Reports, Volume 7, Issue 4, 2010, pp. 2651-2680
From Hodge Theory to Integrability and TQFT: tt* geometry
- Proceedings of the International Workshop "From tQFT to tt* and integrability", May 25-29, 2007, University of Augsburg, Germany
- Proceedings of Symposia in Pure Mathematics, vol. 78, American Mathematical Society (2008)
Other
ADE oder die Allgegenwart der Platonischen Körper
in "Facettenreiche Mathematik", Vieweg+Teubner 2011, pp. 409-432
Warum Mathematik?
- Top Schwaben Heft 3|2008 (2008), Seite 34-35
- ZEIT Quiz Beat the Prof-Geometrie
- Portrait and Interview in the exhibition Women of mathematics throughout Europe