Department of Mathematics

Prof. Dr. Dr. h.c. Gert-Martin Greuel - Publications

Books

  1. G.-M. Greuel, G. Trautmann (Eds.) : Singularities, Representation of Algebras, and Vectorbundles. In: Lambrecht Proceedings 1985. Lecture Notes in Math. 1273. Springer Verlag, Berlin, Heidelberg, New York (1987).
  2. G.-M. Greuel, B.H. Matzat, G. Hiss (Eds.) : Algorithmic Algebra and Number Theory. Springer Verlag, Berlin, Heidelberg, New York (1998), 442 pages.
  3. V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink (Eds.) : Singularities. The Brieskorn Anniversary Volume. Springer Verlag, Berlin, Heidelberg, New York. Series: Progress in Mathematics , Vol. 162 (1998).
  4. G.-M. Greuel, G. Pfister: A SINGULAR Introduction to Commutative Algebra. Springer Verlag, Berlin, Heidelberg, New York (2002), 605 pages.
  5. G.-M. Greuel, C. Lossen, E. Shustin: Introduction to Singularities and Deformations. Springer Verlag, Berlin, Heidelberg, New York (2006), 476 pages.
  6. G.-M. Greuel, G. Pfister: A SINGULAR Introduction to Commutative Algebra, 2nd Edition. Springer Verlag, Berlin, Heidelberg, New York (2008), 705 pages.
  7. G.-M. Greuel, R. Remmert, G. Rupprecht (Hrsg.): Mathematik - Motor der Wirtschaft. Springer Verlag, Berlin, Heidelberg, New York (2008), 125 pages.
  8. G.-M. Greuel, A.D. Matt (Hrsg.): Imaginary: Mit den Augen der Mathematik. Mathematisches Forschungsinstitut Oberwolfach (2008), 125 pages, many illustrations.
  9. 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.
  10. 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)
  11. 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

  1. E. Brieskorn, G.-M. Greuel: Singularities of complete intersections. In: A. Hattori: Manifolds, Tokyo 1973. Univ. of Tokyo Press (1975), 123-129.
  2. G.-M. Greuel: Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten. Math. Ann. 214 (1975), 235-266.
  3. 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.
  4. G.-M. Greuel: Cohomologie des singularités non isolées. C.R. Acad. Sci. Paris Sér. A Math. 284 (1977), 321-322.
  5. 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).
  6. G.-M. Greuel, H.A. Hamm: Invarianten quasihomogener vollständiger Durchschnitte. Invent. Math. 49 (1978), 67-86.
  7. 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.
  8. G.-M. Greuel: Kohomologische Methoden in der Theorie isolierter Singularitäten. Habilitationsschrift, Bonn (1979).
  9. R.-O. Buchweitz, G.-M. Greuel: The Milnor number and deformations of complex curve singularities. Invent. Math. 58 (1980), 241-281.
  10. 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.
  11. G.-M. Greuel: Dualität in der lokalen Kohomologie isolierter Singularitäten. Math. Ann. 250 (1980), 157-173.
  12. 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.
  13. 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.
  14. G.-M. Greuel: A remark on the paper of A. Tannenbaum. Compos. Math. 51 (1984), 185-187.
  15. G.-M. Greuel, H. Knörrer: Einfache Kurvensingularitäten und torsionsfreie Moduln. Math. Ann. 270 (1985), 417-425.
  16. G.-M. Greuel, E. Looijenga: The dimension of smoothing components. Duke Math. Journ. 52 (1985), 263-272.
  17. Greuel G.-M., B. Martin, G. Pfister: Numerische Charakterisierung quasihomogener Gorenstein-Kurvensingularitäten. Math. Nachr. 124 (1985), 123-131.
  18. G.-M. Greuel: Constant Milnor number implies constant multiplicity for quasihomogeneous singularities. Manuscr. Math. 56 (1986), 159-166.
  19. G.-M. Greuel: Torsion free modules and simple curve singularities. Canad. Math. Soc. Conf. Proceedings 6 (1986), 91-94.
  20. R.-O. Buchweitz, G.-M. Greuel, F.-O.Schreyer: Cohen-Macaulay modules on hypersurface singularities, II. Invent. Math. 88 (1987), 165-182.
  21. G.-M. Greuel, G. Trautmann (Eds.): Singularities, Representation of Algebras, and Vectorbundles. In: Lambrecht Proceedings 1985. Lecture Notes in Math. 1273, Springer (1987).
  22. G.-M. Greuel, U. Karras: Families of varieties with prescribed singularities. Compos. Math. 69 (1989), 83-110.
  23. Brücker, C., G.-M. Greuel: Deformationen isolierter Kurvensingularitäten mit eingebetteten Komponenten. Manuscr. Math. 70 (1990), 93-114.
  24. G.-M. Greuel, H. Kröning: Simple Singularities in Positive Characteristic. Math. Z. 203 (1990), 339-354.
  25. G.-M. Greuel: Deformation und Klassifikation von Singularitäten und Moduln. Jahresber. Deutsch. Math.-Verein. Jubiläumstagung 1990 (1992), 177-238.
  26. Y.A. Drozd, G.-M. Greuel: Tame-wild dichotomy for Cohen-Macaulay modules. Math. Ann. 95 (1992), 387-394.
  27. G.-M. Greuel, G. Pfister: On moduli spaces of semiquasihomogeneous singularities..
  28. Y.A. Drozd, G.-M. Greuel: Cohen-Macaulay module type. Comp. Math. 89 (1993), 315-338.
  29. G.-M. Greuel, G. Pfister: Geometric quotients of unipotent group actions. Proc. London Math. Soc. 67 (1993), 75-105.
  30. G.-M. Greuel, G. Pfister: Moduli spaces for torsion free modules on curve singularities I. Journ. Alg. Geom. 2 (1993), 81-135.
  31. 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.
  32. 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.
  33. Y. Drozd, G.-M. Greuel: Semicontinuity for representations of Cohen-Macaulay rings. Math. Ann. 306 (1996), 371-389.
  34. H. Grassmann, G.-M. Greuel, B. Martin, W. Neumann, G. Pfister, W. Pohl, H. Schönemann, T. Siebert: On an implementation of standard bases and syzygies in SINGULAR. AAECC 7 (1996), 235-149.
  35. G.-M. Greuel, C. Lossen: Equianalytic and equisingular families of curves on surfaces. Manuscr. Math 91 (1996), 323-342.
  36. G.-M. Greuel, G. Pfister: Advances and improvements in the theory of standard bases and syzygies. Arch. Math. 66 (1996), 163-176.
  37. G.-M. Greuel, G. Pfister: On moduli spaces of semiquasihomogeneous singularities. In: Algebraic geometry and singularities (La Rábida, 1991). Birkhäuser Progress in Mathematics 134 (1996), 171-185.
  38. G.-M. Greuel: Description of SINGULAR : A Computer Algebra System for Singularity Theory, Algebraic Geometry and Commutative Algebra. Euromath Bulletin 2 (1996), 161-172.
  39. G.-M. Greuel, C. Hertling, G. Pfister: Moduli Spaces of Semiquasihomogeneous Singularities with fixed Principal Part. Journ. Alg. Geom. 6 (1997), 169-199.
  40. G.-M. Greuel, Ch. Lossen, E. Shustin: New asymptotics in the geometry of equisingular families of curves. IMRN 13 (1997), 595-611.
  41. W. Decker, G.-M. Greuel, G. Pfister, T. De Jong: The normalisation: a new algorithm, implementation and comparisons. In: Proc. EUROCONFERENCE Computational Methods for Representations of Groups and Algebras (1.4.-5.4.1997). Birkhäuser (1998).
  42. Y.A. Drozd, G.-M. Greuel: On Schappert's characterization of strictly unimodal plane curve singularities. In: V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink: Singularities, The Brieskorn Anniversary Volume. Birkhäuser (1998), 3-26.
  43. 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).
  44. 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.
  45. G.-M. Greuel, Ch. Lossen, E. Shustin: Geometry of families of nodal curves on the blown-up projective plane. Trans. AMS 350 (1998), 251-274.
  46. G.-M. Greuel, Ch. Lossen, E. Shustin: Plane curves of minimal degree with prescribed singularities. Invent. Math. 133 (1998), 539-580.
  47. 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.
  48. 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.
  49. 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.
  50. 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.
  51. G.-M. Greuel, Ch. Lossen, E. Shustin: Castelnuovo Function, Zero-dimensional Schemes and Singular Plane Curves. Journ. Alg. Geom. 9 (2000), 663-710.
  52. G.-M. Greuel: Applications of Computer Algebra to Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving. In: European Congeress of Mathematicians, Barcelona, July 10-14, 2000, Vol. II. (2000), 169-188.
  53. G.-M. Greuel: Computer Algebra and Algebraic Geometry - Achievements and Perspectives. Journ. Symb. Comp. 30,3 (2000), 253-290.
  54. G.-M. Greuel, C. Lossen, E. Shustin: The Variety of Plane Curves with Ordinary Singularities is not Irreducible. IMRN (2000).
  55. Y.A. Drozd, G.-M. Greuel, I. Kashuba: On Cohen-Macaulay Modules on Surface Singularities. Moscow Math. Journ. 3,2 (2003), 397-418.
  56. Y.A. Drozd, G.-M. Greuel: Tame and Wild Projective Curves and Classification of Vector Bundles. Journ. Alg. (2001).
  57. G.-M. Greuel, G. Pfister, H. Schönemann: SINGULAR - A Computer Algebra System for Polynomial Computations. In: M. Kerber and M. Kohlhase: Symbolic Computation and Automated Reasoning, The Calculemus-2000 Symposium. (2001), 227-233.
  58. 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.
  59. 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.
  60. G.-M. Greuel, C. Lossen, M. Schulze: Three Algorithms in Algebraic Geometry, Coding Theory, and Singularity Theory. In: C. Ciliberto et al: Application of Algebraic Geometry to Coding Theory, Physics and Computation, Proceedings. Kluwer (2001), 161-194.
  61. G.-M. Greuel: A Computer Algebra Solution to a Problem in Finite groups. Revista Matematica Iberoamericana 19, no. 2 (2003), 413-424.
  62. 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.
  63. T. Bandman, G.-M. Greuel, F. Grunewald, B. Kunyavskii, G. Pfister, E. Plotkin: Two-variable identities for finite solvable groups. C.R. Acad. Sci. Paris, Ser. I 337 (2003), 581-586.
  64. T. Bandman, G.-M. Greuel, F. Grunewald, B. Kunyavskii, G. Pfister, E. Plotkin: Engel-Like Identities Characterizing Finite Solvable Groups. Compositio Math. 142, no.3 (2006), 734-764.
  65. G.-M. Greuel, Vik.S. Kulikov: On Symplectic Coverings of the Projective Plane. Izv. Math., 69 (4) (2005), 667-701.
  66. 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.
  67. L. Bodnarchuk, I. Burban. Y. Drozd, G.-M. Greuel: Vector Bundles and Torsion Free Sheaves on Degenerations of Elliptic Curves. In: Catanese et al. eds.: Global Aspects of Complex Geometry, Springer Verlag (2006), 83-128.
  68. P. Chrusciel, G.-M. Greuel, R. Meinel, S. Szybka: The Ernst equation and ergosurfaces. Class. Quantum Grav. 23 No 13 (2006), 4399-4414.
  69. G.-M. Greuel, G. Pfister: SINGULAR and Applications. Jahresbericht der DMV 108 (2006), 167-196.
  70. A. Campillo, G.-M. Greuel, C. Lossen: Equisingular Calculations for Plane Curve Singularities. J. Symb. Comput. 42 (2007), 89-114.
  71. A. Campillo, G.-M. Greuel, C. Lossen: Equisingular deformations of plane curves in arbitrary characteristic. Compositio Mathematica (2007), 829-882.
  72. G.-M. Greuel, C.-T. Le: On deformations of maps and curve singularities. manuscripta math. 127 (2008), 1-21.
  73. G.-M. Greuel, J. E. Hopcroft, M. H. Wright: The Mathematical Work of Jon Kleinberg. Notices of the AMS, 54 No 6 (2007), 740 - 743.
  74. M. Brickenstein, A. Dreyer, G.-M. Greuel, M. Wedler, O. Wienand: New developments in the theory of Groebner bases and applications to formal verification. Journal of Pure and Applied Algebra, Vol. 213 (2009), 1612-1635.
  75. D. Ilsen, E. J. Roebbers, G.-M. Greuel: Algebraic and Combinatorial Algorithms for Translinear Network Synthesis. IEEE Transactions on Circuits and Systems - I:Regular Papers, VOL. 55 (2008), 3131 - 3144.
  76. O. Wienand, M. Wedler, D. Stoffel, W. Kunz, G.-M. Greuel: An algebraic approach for proving data correctness in arithmetic data paths. Proc. International Conference Computer Aided Verification (CAV), July 2008, Princeton, NJ, USA (2008), 473-486.
  77. G.-M. Greuel, F. Seelisch, O. Wienand: The Groebner Basis of the Ideal of Vanishing Polynomials. J. Symb. Comput. 46, doi:10.1016/j.jsc.2010.10.006 (2011), 561-570.
  78. G.-M. Greuel, S. Laplagne, F. Seelisch: Normalization of Rings. J. Symb. Comput. 45, doi:10.1016/j.jsc.2010.04.002 (2010), 887-901.
  79. L. Bodnarchuk, Y. Drozd, G.-M. Greuel: Simple Vector Bundles on Plane Degenerations of an Elliptic Curve. Trans. Amer. Math. Soc. 364 (2012), 137-174.
  80. Y. Boubakri, G.-M. Greuel, T. Markwig: Invariants of Hypersurface Singularities in Positive Characteristic. Rev. Mat. Complut. 25, doi:10.1007/s13163-010-0056-1 (2012), 61-85.
  81. Y. Boubakri, G.-M. Greuel, T. Markwig: Normal Forms of Hypersurface Singularities in Positive Characteristic. Moscow Math. Journal, Volume 11, Number 4 (2011), 26 pages.
  82. G.-M. Greuel, Nguyen H. D.: Some Remarks on the Planar Kouchnirenko's Theorem. Rev. Mat. Complut., Online First, DOI 10.1007/s13163-011-0082-7 (2011), 17 pages.
  83. Sanz-Sole, Marta; Atiyah, Michael; Bär, Christian; Greuel, Gert-Martin; Manin, Yuri I.; Bourguignon, Jean-Pierre: Friedrich Hirzebruch memorial session at the 6th European congress of mathematics. Krakow, July 5th, 201 . Eur. Math. Soc. Newsl. 85 (2012), 12-20.
  84. S. Bönisch, M. Brickenstein, H. Chrapary, G.-M. Greuel, W. Sperber: swMATH - a new information service for mathematical software. Intelligent Computer Mathematics, Lecture Notes in Computer Science 7961, Springer Verlag (2013), 369-373.
  85. 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.
  86. Gert-Martin Greuel: IMAGINARY - Mathematical creations and experiences. In: Math communication for the future - A Vision Slam, Proceedings of the ICM Seoul, Vol. I (2014), 5 pages.
  87. 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.
  88. Gert-Martin Greuel, Thuy H. Pham: Mather-Yau Theorem in Positive Characteristic. J. Algebr. Geom. 26, No. 2, 347-355 (ArXiv) (Zbl 1357.14010, 2017), 9 pages.
  89. Gert-Martin Greuel, Walter Purkert: Leben und Werk von Egbert Brieskorn (1936-2013). Jahresber. Dtsch. Math.- Ver. 118, No. 3, 143-178 (ArXiv) (Zbl 1352.01039, 2016), 35 pages.
  90. Gert-Martin Greuel, Thuy Huong Pham: Mather-Yau theorem in positive characteristic. J. Algebr. Geom. 26, No. 2, 347-355 (2017). (DOI)
  91. Gert-Martin Greuel: Equisingular and equinormalizable deformations of isolated non-normal singularities. Methods Appl. Anal. 24, No. 2, 215-276 (2017). (DOI)
  92. Gert-Martin Greuel, Thuy Huong Pham: On finite determinacy for matrices of power series. Math. Z. 290, No. 3-4, 759-774 (2018). (DOI)
  93. Gert-Martin Greuel, Helmut A. Hamm, Lê Dũng Tráng (Eds.): Preface. J. Singul. 18, i-iii (2018).
  94. 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)
  95. Alexandru Dimca, Gert-Martin Greuel: On 1-forms on isolated complete intersection curve singularities. J. Singul. 18, 114-118 (2018). (DOI)
  96. 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)
  97. Gert-Martin Greuel, Thuy Huong Pham: Finite determinacy of matrices and ideals. J. Algebra 530, 195-214 (2019). (DOI)
  98. Gert-Martin Greuel, Gerhard Pfister: Semicontinuity of Singularity Invariants in Families of Formal Power Series. arXiv:1912.05263

Articles of General Type

  1. Gert-Martin Greuel, Andreas Daniel Matt: Das Reale hinter IMAGINARY. Mitteilungen der DMV Nr. 17 (2009), 41 - 43.
  2. Gert-Martin Greuel: Mathematics between Research, Application and Communication. E. Behrends et al. (eds.), Raising Public Awareness of Mathematics, Springer-Verlag Berlin Heidelberg (2012), 359-386.
  3. 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.
  4. 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.
  5. S. Bönisch, G.-M. Greuel, W. Sperber: Building an Information Service for Mathematical Software - the SMATH Project. Newsletter of the EMS, issue 83, March 2012 (2012), 51-52.
  6. G.-M. Greuel: Zentralblatt MATH. Newsletter of the EMS, issue 83, March 2012, Editorial (2012), 3-4.
  7. G.-M. Greuel: Zentralblatt MATH - Herausforderungen und Perspektiven. Mitteilungen der DMV, Band 20, Heft 1. Seiten 38-40, De Gruyter Verlag (2012), 38 - 40.
  8. Gert-Martin W. Greuel: Changes and Enhancements of the Publication Structure in Mathematics. In K. Kaiser, S. Krantz, B. Wegner (Eds.): Topics and Issues in Electronic Publishing. JMM/AMS Special Session, San Diego 2013, Proceedings, (2013), 41 - 56.
  9. Gert-Martin Greuel, Helena Mihaljevic-Brandt, Olaf Teschke: Neues vom Zentralblatt MATH - mehr als neue Kleider. Mitteilungen der DMV, Band 21, Heft 3, De Gruyter Verlag (2013), 136.
  10. 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.
  11. Allouche, Jean-Paul; Dales, H.Garth; Greuel, Gert-Martin; Odlyzko, Andrew; Peters, Klaus; Werner, Dirk: Open access -- four opinions. In:Eur. Math. Soc. Newsl. 91 (2014), 39-43.
  12. Greuel, Gert-Martin; Matt, Andreas Daniel; Mey, Antonia S.J.S.: Editorial: IMAGINARY -- mathematics communication for the 21st century. In:Eur. Math. Soc. Newsl. 92 (2014), 3-6.
  13. Gert-Martin Greuel: Kristalle und Mathematik. Mitt. Dtsch. Math.-Ver. 22, No. 4 (2014), 212-217.
  14. Gert-Martin Greuel: Crystals and Mathematics. In: A Focus on Crystallography, FIZ Karlsruhe (2014), 37-43.
  15. Sanz-Sole, Marta; Brezzi, Franco; Raussen, Martin; Huggett, Stephen; Väänänen, Jouko; Fialowski, Alice; Greuel, Gert-Martin; Halpern, Laurence; Mehrmann, Volker; Sergeev, Armen: EMS Paper on Open Access. Eur. Math. Soc. Newsl. 95, 7-8 (2015), 4 pages.
  16. Gert-Martin Greuel: Mathematics between research, application, and communication. Eur. Math. Soc. Newsl. 97, 44-51 (2015), 7 pages.
  17.  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).
  18.  Greuel, Gert-Martin: Leelavati Prize 2018 to Ali Nesin. Eur. Math. Soc. Newsl. 110, 49-53 (2018). (DOI)

Software, Data bases, Platforms

  1. G.-M. Greuel, G. Pfister, H. Schönemann, W. Decker: SINGULAR - A Computer Algebra System for Polynomial Computations. Free software under the GNU General Public License (1990 - to date).
  2. G.-M. Greuel, M. Brickenstein: Oberwolfach References on Mathematical Software (ORMS). A Web-interfaced Collection of Information and Links on Mathematical Software (2005 - to date).
  3. Gert-Martin Greuel, Andreas Daniel Matt, Christian Stussak: IMAGINARY - open mathematics. An open, interactive platform and organization for communicating mathematics (2008 - to date).
  4. G.-M. Greuel, W. Sperber; M. Brickenstein, C. Knoth; S. Bönisch, H. Chrapary: swMATH - an information service for mathematical software. An Open Access Database about Mathematical Software (2011 - to date).