G.-M. Greuel, R. Remmert, G. Rupprecht (Hrsg.): Mathematik - Motor der Wirtschaft. Springer Verlag, Berlin, Heidelberg, New York (2008), 125 pages.
G.-M. Greuel, A.D. Matt (Hrsg.): Imaginary: Mit den Augen der Mathematik. Mathematisches Forschungsinstitut Oberwolfach (2008), 125 pages, many illustrations.
Gert-Martin Greuel, Thorsten Koch, Peter Paule, Andrew Sommese (Eds.): Mathematical software - ICMS 2016. 5th international conference, Berlin, Germany, July 2016. Proceedings. Lecture Notes in Computer Science 9725, Springer (2016), 532 pages.
Gert-Martin Greuel, Luis Narváez Macarro, Sebastià Xambó-Descamps (Eds.): Singularities, algebraic geometry, commutative algebra, and related topics. Festschrift for Antonio Campillo on the occasion of his 65th birthday, University of Valladolid, Spain, June 19–23, 2017, Springer (2018), 604 pages. (DOI)
G.-M. Greuel, C. Lossen, E. Shustin: Singular algebraic curves. With an appendix by Oleg Viro. Springer Monographs in Mathematics (2018), 553 pages. (DOI)
Articles
E. Brieskorn, G.-M. Greuel: Singularities of complete intersections. In: A. Hattori: Manifolds, Tokyo 1973. Univ. of Tokyo Press (1975), 123-129.
G.-M. Greuel: Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten. Math. Ann. 214 (1975), 235-266.
G.-M. Greuel, Lê Dung Tráng: Spitzen, Doppelpunkte und vertikale Tangenten in der Diskriminante verseller Deformationen von vollständigen Durchschnitten. Math. Ann. 222 (1976), 71-88.
G.-M. Greuel: Cohomologie des singularités non isolées. C.R. Acad. Sci. Paris Sér. A Math. 284 (1977), 321-322.
G.-M. Greuel: Die Zahl der Spitzen und die Jacobi-Algebra einer isolierten Hyperflächensingularität. Manuscr. Math. 21 (1977), 227-241, Ergänzung und Berichtigung: ibid. 25, 205-208 (1978).
R.-O. Buchweitz, G.-M. Greuel: Le nombre de Milnor, équisingularité et déformations de singularités des courbes réduites. C.R. Acad. Sci. Paris Sér. A Math. 288 (1979), 35-38.
G.-M. Greuel: Kohomologische Methoden in der Theorie isolierter Singularitäten. Habilitationsschrift, Bonn (1979).
R.-O. Buchweitz, G.-M. Greuel: The Milnor number and deformations of complex curve singularities. Invent. Math. 58 (1980), 241-281.
R.-O. Buchweitz, G.-M. Greuel: Le nombre de Milnor équisingularité et déformations des courbes réduites. In: Sém. sur les Singularités. Publ. Math. Univ. Paris 7 (1980), 13-30.
G.-M. Greuel: Dualität in der lokalen Kohomologie isolierter Singularitäten. Math. Ann. 250 (1980), 157-173.
G.-M. Greuel: On deformation of curves and a formula of Deligne. In: J.M. Aroca, R.-O. Buchweitz, M. Giusti, M. Merle: Algebraic Geometry, La Rábida 1981. Lecture Notes in Math. 961, Springer 1983, 141-168.
G.-M. Greuel, J.H.M. Steenbrink: On the topology of smoothable singularities. In: P. Orlik: Singularities, Arcata 1981. Proc. Sympos. Pure Math. 40,1 (1983), 535-545.
G.-M. Greuel: A remark on the paper of A. Tannenbaum. Compos. Math. 51 (1984), 185-187.
G.-M. Greuel, H. Knörrer: Einfache Kurvensingularitäten und torsionsfreie Moduln. Math. Ann. 270 (1985), 417-425.
G.-M. Greuel, E. Looijenga: The dimension of smoothing components. Duke Math. Journ. 52 (1985), 263-272.
Greuel G.-M., B. Martin, G. Pfister: Numerische Charakterisierung quasihomogener Gorenstein-Kurvensingularitäten. Math. Nachr. 124 (1985), 123-131.
G.-M. Greuel: Constant Milnor number implies constant multiplicity for quasihomogeneous singularities. Manuscr. Math. 56 (1986), 159-166.
G.-M. Greuel, G. Pfister: Moduli for Singularities. In: J.-P. Brasselet: Singularities. London Math. Soc. Lect. Notes 201, Cambridge Univ. Press, Cambridge (1994), 119-146.
H. Grassmann, G.-M. Greuel, B. Martin, W. Neumann, G. Pfister, W. Pohl, H. Schönemann, T. Siebert: Standard bases, syzygies and their implementation in SINGULAR. In: Beiträge zur angewandten Analysis und Informatik. Shaker, Aachen (1994), 69-96.
G.-M. Greuel, G. Pfister, H. Schönemann: SINGULAR, A System for Polynomial Computations, version 1.2, User Manual. In: Reports On Computer Algebra. Centre for Computer Algebra, University of Kaiserslautern (1998).
G.-M. Greuel, G. Pfister: Geometric quotients of unipotent group actions II. In: V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink: Singularities, The Brieskorn Anniversary Volume. Birkhäuser (1998), 27-36.
W. Decker, G.-M. Greuel, G. Pfister: Primary decomposition: algorithms and comparisons. In: G.-M. Greuel, B.H. Matzat, G. Hiss: Algorithmic Algebra and Number Theory. Springer Verlag, Heidelberg (1998), 187-220.
G.-M. Greuel, G. Pfister: Gröbner bases and algebraic geometry. In: B. Buchberger and F. Winkler: Gröbner Bases and Applications. LNS 251 , CUP (1998), 109-143.
G.-M. Greuel: Some Aspects of Brieskorn's Mathematical Work. In: V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink: Singularities, The Brieskorn Anniversary Volume. Birkhäuser (1998), xv-xxii.
G.-M. Greuel, E. Shustin: Geometry of Equisingular Families of Curves. In: B. Bruce, D. Mond: Singularity Theory. London Math. Soc. LNS 263, Cambridge University Press (1999), 79-108.
G.-M. Greuel, C. Lossen: The Geometry of Families of Singular Curves. In: D. Siersma, C.T.C. Wall, V. Zakalyukin: New developments in Singularity Theory. NATO Science Series , Kluwer (2001), 159-192.
I. Burban, Y.A. Drozd, G.-M. Greuel: Vector Bundles on Singular Projective Curves. In: C. Ciliberto et al: Application of Algebraic Geometry to Coding Theory, Physics and Computation, Proceedings. Kluwer (2001), 1-15.
G.-M. Greuel, G. Pfister: Computer Algebra and Finite Groups. In: A. Cohen, X.-S. Gao, N. Takayama: Proceedings of the First International Congress of Mathematical Software, Beijing 2002. World Scientific (2002), 4-14.
G.-M. Greuel, C. Lossen, E. Shustin: Equisingular Families of Projective Curves. In: Catanese et al. eds.: Global Aspects of Complex Geometry, Springer Verlag (2006), 171-210.
G.-M. Greuel, Nguyen H. D.: Right simple singularities in positive characteristic. Journal für die reine und angewandte Mathematik (Crelles Journal). DOI: 10.1515/crelle-2013-0118, January 2014 Online (2014), 26 pages.
Gert-Martin Greuel, Wolfram Sperber: swMATH -- an information service for mathematical software. In: Hong, Hoon (ed.) et al., Mathematical software -- ICMS 2014. 4th International Congress, Seoul, South Korea, August 5--9, 2014. Proceedings. Springer. Lecture Notes in Computer Science 8592 (2014) (2014), 691-701.
Gert-Martin Greuel, Thuy Huong Pham: Mather-Yau theorem in positive characteristic. J. Algebr. Geom. 26, No. 2, 347-355 (2017). (DOI)
Gert-Martin Greuel: Equisingular and equinormalizable deformations of isolated non-normal singularities. Methods Appl. Anal. 24, No. 2, 215-276 (2017). (DOI)
Gert-Martin Greuel, Thuy Huong Pham: On finite determinacy for matrices of power series. Math. Z. 290, No. 3-4, 759-774 (2018). (DOI)
Gert-Martin Greuel, Helmut A. Hamm, Lê Dũng Tráng (Eds.): Preface. J. Singul. 18, i-iii (2018).
Gert-Martin Greuel, Walter Purkert: Life and work of Egbert Brieskorn (1936–2013). J. Singul. 18, 1-28 (2018); translation from Jahresber. Dtsch. Math.-Ver. 118, No. 3, 143-178 (2016). (DOI)
Alexandru Dimca, Gert-Martin Greuel: On 1-forms on isolated complete intersection curve singularities. J. Singul. 18, 114-118 (2018). (DOI)
Gert-Martin Greuel: Singularities in positive characteristic: equisingularity, classification, determinacy. In: Greuel, Gert-Martin (ed.) et al., Singularities, algebraic geometry, commutative algebra, and related topics. Festschrift for Antonio Campillo on the occasion of his 65th birthday, University of Valladolid, Spain, June 19–23, 2017, Springer (2018), pp. 37-53. (DOI)
Gert-Martin Greuel, Thuy Huong Pham: Finite determinacy of matrices and ideals. J. Algebra 530, 195-214 (2019). (DOI)
Gert-Martin Greuel, Gerhard Pfister: Semicontinuity of Singularity Invariants in Families of Formal Power Series. arXiv:1912.05263
Articles of General Type
Gert-Martin Greuel, Andreas Daniel Matt: Das Reale hinter IMAGINARY. Mitteilungen der DMV Nr. 17 (2009), 41 - 43.
Gert-Martin Greuel: Mathematik zwischen Forschung, Anwendung und Vermittlung. Vortrag auf der 7. Tagung der Deutschen Gesellschaft für Geometrie und Grafik, Dresden 2011. Erscheint in Daniel Lordick (Hrsg.): Präsentation Mathematischer Modelle, Vieweg Verlag (2014), 27 Seiten.
Sebastian Bönisch, Michael Brickenstein, Gert-Martin Greuel, Wolfram Sperber: swMATH - citations for your mathematical software. Computeralgebra-Rundbrief Nr. 51, Oktober 2012, Fachgruppe Computeralgebra (2012), 10 - 11.
Gert-Martin Greuel, Helena Mihaljevic-Brandt, Olaf Teschke: NEWS FROM ZBMATH, More than new clothes. The London Mathematical Society Newsletter, Issue 429, (2013), 20-21.
Cederbaum, Carla; Dickenstein, Alicia; Greuel, Gert-Martin; Grünberg, David; Park, Hyungju; Villani, Cédric: IMAGINARY panel: math communication for the future – a vision slam. Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. I: Plenary lectures and ceremonies. Seoul: KM Kyung Moon Sa, 755-771 (2014).
Greuel, Gert-Martin: Leelavati Prize 2018 to Ali Nesin. Eur. Math. Soc. Newsl. 110, 49-53 (2018). (DOI)
Gert-Martin Greuel, Andreas Daniel Matt, Christian Stussak: IMAGINARY - open mathematics. An open, interactive platform and organization for communicating mathematics (2008 - to date).