Publications & Talks
A new approach to the classification of almost contact metric manifolds via intrinsic torsion
Ilka Agricola, Dario Di Pinto, Giulia Dileo, Marius Kuhrt
arXiv:2504.16900[math.DG], submitted
The Laplace-Beltrami spectrum on naturally reductive homogeneous spaces
Ilka Agricola and Jonas Henkel
arXiv:2503.21416[math.DG], submitted
Curvature Properties of 3-(a,d)-Sasaki manifolds
Ilka Agricola, Giulia Dileo, and Leander Stecker
arXiv:2206.05150[math.DG], Ann. Mat. Pura Appl. (4) 202, No. 5, 2007-2033 (2023).
Invariant Spinors on Homogeneous Spheres
Ilka Agricola, Jordan Hofmann, and Marie-Amélie Lawn
arXiv:2203.02961[math.DG], Differ. Geom. Appl. 89, ID 102014 (2023).
Homogeneous non-degenerate 3-(a,d)-Sasaki manifolds and submersions over quaternionic Kähler spaces
Ilka Agricola, Giulia Dileo, and Leander Stecker [pdf-file]
arXiv:2011.13434 [math.DG], Ann. Glob. Anal. Geom. 60 (2021), 111-141.
In memoriam Thomas Friedrich (1949-2018)
Ilka Agricola, Verena Bögelein, Frank Duzaar [link to pdf-file]
Ann. Glob. Anal. Geom. 56 (2019), 613-630.
Generalizations of 3-Sasakian manifolds and skew torsion
Ilka Agricola and Giulia Dileo [pdf-file]
arXiv:1804.06700 [math.DG], Adv. Geom. 20 (2020), 331-374. The archive version has "normal" layout, the pdf file here is more spacious, giving it more of a "book" flavour.
On the history of the Hopf problem
Ilka Agricola, Giovanni Bazzoni, Oliver Goertsches, Panagiotis Konstantis, Sönke Rollenske [pdf-file]
arXiv:1708.01068[math.HO], Diff. Geom. Appl. 57 (2018), 1-9.
S6 and the geometry of nearly Kähler 6-manifolds
Ilka Agricola, Aleksandra Borówka, Thomas Friedrich [pdf-file]
arXiv:1707.08591[math.DG], Diff. Geom. Appl. 57 (2018), 75-86.
Horst F. Niemeyer und das Proportionalverfahren
Ilka Agricola und Friedrich Pukelsheim
Math. Semesterber. 64 (2017), 129-146.
Tangent Lie groups are Riemannian naturally reductive spaces
Ilka Agricola, Ana Cristina Ferreira [pdf-file]
arXiv:/1603.06211 [math.DG], Adv. Appl. Clifford Algebras (2017), 895-911.
Manifolds with vectorial torsion
Ilka Agricola, Margarita Kraus [pdf-file]
arXiv:/1509.08944 [math.DG], Diff. Geom. Appl. 45 (2016), 130-147.
Quaternionic Heisenberg groups as naturally reductive homogeneous spaces
Ilka Agricola, Ana Cristina Ferreira, Reinier Storm [pdf-file]
arXiv:/1503.08350 [math.DG], Int. J. Geom. Methods Mod. Phys. 12 (2015), article ID 1560007.
Spinorial description of SU(3)- and G_2-manifolds
Ilka Agricola, Simon G. Chiossi, Thomas Friedrich, Jos Höll [pdf-file]
arXiv:/1411.5663 [math.DG], J. Geom. Phys. 98 (2015), 535-555.
The classification of naturally reductive homogeneous spaces in dimensions n <=6
Ilka Agricola, Ana Cristina Ferreira, Thomas Friedrich [pdf-file]
arXiv:/1407.4936[math.DG], Diff. Geom. Appl. 39 (2015), 59-92.
A note on generalized Dirac eigenvalues for split holonomy and torsion
Ilka Agricola, Hwajeong Kim [pdf-file]
arXiv:1311.0887[math.DG], B. Korean Math. Soc. 51 (2014), 1579-1589.
Cones of G-manifolds and Killing spinors with skew torsion
Ilka Agricola, Jos Höll [pdf-file]
arXiv:1303.3601 [math.DG], accepted 12/2013, printed in Ann. Mat. Pura Appl. 194 (2015), 673-718.
Einstein manifolds with skew torsion
Ilka Agricola, Ana Cristina Ferreira [pdf-file]
arXiv:1209.5886 [math.DG], Quart. J. Math. 65 (2014), 717-741.
Sp(3) structures on 14-dimensional manifolds
Ilka Agricola, Thomas Friedrich, Jos Höll [pdf-file]
arXiv:1210.3056 [math.DG], J. Geom. Phys. 69 (2013), 12-30.
Twistorial eigenvalue estimates for generalized Dirac operators with torsion
Ilka Agricola, Julia Becker-Bender, Hwajeong Kim [pdf-file]
arXiv:1208.2031 [math.DG], Adv. Math. 243 (2013), 296-329.
On the topology and the geometry of SO(3)-manifolds
Ilka Agricola, Julia Becker-Bender, Thomas Friedrich [pdf-file]
arXiv:1010.0260v1 [math.DG], Ann. Global Anal. Geom. 40 (2011), 67-84.
A note on flat metric connections with antisymmetric torsion
Ilka Agricola, Thomas Friedrich [pdf-file]
arXiv:0911.1602v1 [math.DG], Diff. Geom. Appl. 28 (2010), 480-487.
3-Sasakian manifolds in dimension seven, their spinors and G_2 structures
Ilka Agricola, Thomas Friedrich [pdf-file]
arXiv:0812.1651v1 [math.DG], J. Geom. Phys. 60 (2010), 326-332.
Old and New on the exceptional Lie group G_2
Ilka Agricola [pdf-file]
Notices of the AMS 55 (2008), 922-929; September 2008.
Chinese translation: Mathematical Advance in Translation 2 (2010), 127-134 [pdf-file]
Eigenvalue estimates for Dirac operators with parallel characteristic torsion
I. Agricola, Th. Friedrich, and M. Kassuba [pdf-file] Diff. Geom. Appl. 26 (2008), 613-624.
Zur Geschichte der Ausnahme-Lie-Gruppe $G_2$
Ilka Agricola [pdf-file]
Mitteilungen der DMV 15 (2007), 242-248.
Solvmanifolds with integrable and non-integrable G_2 structures
I. Agricola, S. G. Chiossi and A. Fino [pdf-file] math.DG/0510300, Diff. Geom. Appl. 25 (2006), 125-135.
Geometric structures of vectorial type
I. Agricola and Th. Friedrich [pdf-file] math.DG/0509147, J. Geom. Phys. 56 (2006), 2403-2414.
On the Ricci tensor in the common sector of type II string theory
I. Agricola, T. Friedrich, P.-A. Nagy, C. Puhle [pdf-file]hep-th/0412127, Class. Quant. Grav. 22 (2005) 2569-2577.
The geodesics of metric connections with vectorial torsion
Ilka Agricola and Christian Thier [pdf-file]
math.DG/0309087, Ann. Global Anal. Geom. 26 (2004), 321-332.
Killing spinors in Supergravity with 4-fluxes
Ilka Agricola and Thomas Friedrich [pdf-file]
math.DG/0307360, Class. Quant. Grav. 20 (2003), 4707-4717.
The Casimir operator of a metric connection with skew-symmetric torsion
Ilka Agricola and Thomas Friedrich [pdf-file]
math.DG/0305233, Journ. Geom. Phys. 50 (2004), 188-204.
On the holonomy of connections with skew-symmetric torsion
Ilka Agricola and Thomas Friedrich [pdf-file]
math.DG/0305069, Math. Ann. 328 (2004), 711-748.
The algebra of K-invariant vector fields on a symmetric space G/K
Ilka Agricola and Roe Goodman [pdf-file]
math.RT/0207161, Michigan Journ. Math. 51 (2003), 607-630.
Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
Ilka Agricola [pdf-file]
math.DG/0202094, Comm. Math. Phys. 232 (2003) 3, 535-563.
Connexions sur les espaces homogènes naturellement réductifs et leurs opérateurs de Dirac
Ilka Agricola [pdf-file]
C. R. Acad. Sci. Paris, Ser. I 335 (2002), 43-46.
Invariante Differentialoperatoren und die Frobenius-Zerlegung einer G-Varietät
Ilka Agricola [pdf-file]
J. Lie Theory 11, 81-109 (2001)
A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus
Ilka Agricola, Bernd Ammann, and Thomas Friedrich [pdf-file]
math.DG/9812044, manuscripta math. 100 (1999) 2, 231-258.
Upper bounds for the first eigenvalue of the Dirac operator on surfaces
Ilka Agricola and Thomas Friedrich [pdf-file]
math.DG/9806081, Journ. Geom. Phys. (30) 1 (1999), 1-22.
The Gaussian Measure on Algebraic Varieties
Ilka Agricola and Thomas Friedrich [pdf-file]
math.DG/9804116, Fund. Math. 159 (1999), 91-98.
Covering groups of the gauge group for the standard elementary particle model
Ilka Agricola [pdf-file]
hep-th/9801011, MPI-PhT/97-44, Nucl. Phys. B 518, Issue 3 (1998), 729-744.
Please note: According to general copyright rules, only preliminary versions are made available here. For a final version of these papers, please consult the corresponding journal issue or contact me to get a reprint.
Report on the book Thomas de Padova: "Alles wird Zahl: Wie sich die Mathematik in der Renaissance neu erfand"
Carl Hanser Verlag, München 2021, 384 Seiten.
Die Mathematische Modellsammlung der Philipps-Universität Marburg
Mitteilungen der DMV 24 (4), 2016, S. 226-229. [pdf]
Report on the book E. Meinrenken: "Clifford Algebras and Lie Theory"
Springer-Verlag 2013, Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 58.
Jahresber. Dtsch. Math. Ver. 116 (2014), 67-71. [pdf]
Vektoranalysis - Differentialformen in Analysis, Geometrie und Physik.
Ilka Agricola und Thomas Friedrich [Präsentation]
2. Auflage. Vieweg-Verlag, März 2010.
Non integrable geometries, torsion, and holonomy
I. Agricola. to appear in "Handbook of pseudo-Riemannian Geometry and Supersymmetry"
IRMA, EMS Publishing House, 2010.
Elementargeometrie - Fachwissen für Studium und Mathematikunterricht
Ilka Agricola und Thomas Friedrich [Präsentation]2., erweiterte und ergänzte Auflage. Vieweg-Verlag, Oktober 2008.
Elementary Geometry
Ilka Agricola and Thomas Friedrich [AMS link]
Student Mathematical Library, vol. 43, AMS, March 2008.
The Srní lectures on non-integrable geometries with torsion
I. Agricola [pdf-file]; with an appendix by Mario Kassuba [pdf-file].math.DG/0606705, Arch. Math. 42 (2006), 5-84. ZBL 1164.53300
Elementargeometrie - Fachwissen für Studium und Mathematikunterricht
Ilka Agricola und Thomas Friedrich [Präsentation]Vieweg-Verlag, April 2005. ZBL 02176212
Dirac operators, holonomy and string theory
Ilka Agricola [pdf-file]
Introduction/summary/references to my habilitation thesis, defended Oct. 2004 at Greifswald University.
Global Analysis - Differential Forms in Analysis, Geometry and Physics.
Ilka Agricola and Thomas Friedrich [AMS link] [errata]
AMS, Graduate Studies in Mathematics 52, Rhode Island, 2002. MR 1998826
Globale Analysis - Differentialformen in Analysis, Geometrie und Physik.
Ilka Agricola und Thomas Friedrich [Präsentation]
Vieweg-Verlag, Januar 2001. MR 1823409
Die Frobenius-Zerlegung auf einer algebraischen G-Mannigfaltigkeit
Ilka Agricola [pdf-file] [errata]
Dissertation im Fach Mathematik, Humboldt-Universität zu Berlin, 2000.
Please note: According to general copyright rules, only preliminary versions are made available here. For a final version of these papers, please consult the corresponding journal issue or contact me to get a reprint.
Here are the slides of a small selection of talks I gave in the past. In line with the new digital times, I also include recordings when available.
How to classify homogeneous spaces... and why we should care about them
Durham Geometry and Topology Seminar, June 2020. [pdf] [recording of live stream]
Generalizations of 3-Sasakian manifolds and skew torsion
Virtual seminar on geometry with symmetries, June 2020. [pdf]
[recording of live stream]
Doing mathematics in Emmy Noether's time: A survey on the study and work situation of women mathematicians in Germany between the two World Wars
Talk within the event "An afternoon with Emmy Noether" at Universidad Complutense de Madrid (Spain), April, 2019. [pdf]
[recording of live stream]
Krumme Sachen - warum musste Einstein Mathematik neu lernen?
Talk at the "Hochschultage Physik" in Marburg, February 2018; this event is organized once a year as continuing training for physics teachers, but it is also attended by bachelor students, alumni and further interested audience. [pdf]
The Collection of Mathematical Models of Marburg University
Talk in the Mathematisch-Physikalisches Kolloquium, Leibniz Universität Hannover, May 2017. [pdf]
Non-integrable geometries, torsion, and holonomy
Series of four 90'-lectures delivered at the Carnival Differential Geometry school, Torino, February 2014.
[talk 1] [talk 2 a] [talk 2 b] [talk 3] [talk 4]
In parallel, there was a series of talks by Thomas Friedrich, here are his slides [pdf]
Frauen in der Mathematik - in Marburg und anderswo
Hochschulerkundungstage, Januar 2012. [pdf]
Dirac-Operatoren und Geometrie
Inaugural lecture at Philipps University Marburg, July 1, 2009. [pdf]
On the history of the exceptional group G_2
Talk at Warsaw University (Woronowicz seminar), February 2008. [pdf]
For the whole story on G_2, see my articles in the DMV Mitteilungen,
the Notices of the AMS and the pictures of our mathematical excursion to Niesky.
The E_8 Challenge
Lecture for the BMS Friday Colloquium on December 14, 2007 [pdf]
Special geometries and superstring theory
Series of four lectures delivered at the 26th Srni Winter School
January 2006 - see also the detailed lecture notes
[talk I] [talk II] [talk III] [talk IV]
How to fight fraudulent publishing in the mathematical sciences: Joint recommendations of the IMU and the ICIAM
Ilka Agricola, Lynn Heller, Wil Schilders, Moritz Schubotz, Peter Taylor, Luis Vega
arXiv:2509.09877 [math.HO], Notices of the AMS 72, no. 10 (2025).
Fraudulent publishing in the mathematical sciences
Ilka Agricola, Lynn Heller, Wil Schilders, Moritz Schubotz, Peter Taylor, Luis Vega
arXiv:2509.07257 [math.HO], Notices of the AMS 72, no. 9 (2025).
Zahlen rund um das Mathematikstudium 2.0
Ilka Agricola und Verena Reiter, Mitteilungen der Deutschen Mathematiker-Vereinigung, Band 30/3, 2022.
[Blogeintrag] [pdf-file]
21 Maßnahmen für den Mathematik-Unterricht in Frankreich. Die Hauptforderungen des Rapport Villani-Torossian
Ilka Agricola, Mitteilungen der Deutschen Mathematiker-Vereinigung, Band 26/2-3, S.124-127 (2018).
[Blogeintrag]
Der Villani-Torossian-Bericht zum Mathematik-Unterricht in Frankreich
Ilka Agricola, Mitteilungen der Deutschen Mathematiker-Vereinigung, Band 26/2-3, S.121-124 (2018).
Virtual HLF 2020 - Panel: Public Science Communication
This is the youtube recording of a Panel discussion at the Heidelberg Laureate Forum in September 2020 on "How can the public trust science it cannot understand?"
Other publications
Here is a short story I wrote in my leisure time.
Die Analysis-Vorlesung - eine mathematisch inspirierte Kurzgeschichte
In December 2020, I made a (non-professional!) audio recording for a friend - enjoy:
Teil 1:
Teil 2:
Moreover, we have an ongoing book project that goes by the internal name `The ANT Project' (you will find out more about it on its on page).
- My author profiles at Zentralblatt and MathSciNet
- My scientific profile at research gate
