 M. Weber. On the Horgan minimal nonsurface. Calc. Var., 7:373–379, 1998.
 H. Karcher and M. Weber. The Geometry of Kleins Quartic Surface, in volume 35 of Math. Sci. Res.
Inst. Publ., pages 9–51. Cambridge University Press, 1999.
 M. Weber and M. Wolf. Minimal surfaces of least total curvature and moduli spaces of plane polygonal
arcs. Geom. and Funct. Anal., 8:1129–1170, 1998.
 Singly periodic surfaces with fundamental
pieces of high genus, Manuscripta Math 101 (2000), 125142.
 M. Weber. On singly periodic minimal surfaces invariant under a translation. Manuscripta Mathematica, 101:125–142, 2000.
 F. Martin and M. Weber. On properly embedded minimal surfaces with three ends. Duke Math. Journal,
107:533–559, 2001.
 M. Weber. Period quotient maps of meromorphic 1forms and minimal surfaces on tori. J. Geom. Anal.,
12:325–354, 2002.
 M. Weber and M. Wolf. Teichmüller theory and handle addition for minimal surfaces. Annals of Math.,
156:713–795, 2002.
 M. Weber. On Karcher's Twisted Saddle Towers, in Geometric Analysis and Nonlinear Partial Differential Equations,ed. S. Hildebrandt and H. Karcher, pages 117–128. Springer, 2003.
 M. Traizet and M. Weber. Hermite polynomials and helicoidal minimal surfaces. Inv. Math., 161:113–
149, 2005.
 M. Weber. On Keplers small stellated dodecahedron as a riemann surface. Pacific Journal of Math,
220:167182, 2005.
 M. Weber. Classical minimal surfaces in euclidean space by examples. geometric and computational
aspects of the weierstrass representation. In Global theory of minimal surfaces, pages 19–64. American Mathematical Society, Providence, RI, for the Clay Mathematics Institute, Cambridge, MA, edited by D. Hoffman, 2005.
 M. Weber. The genus one helicoid as a limit of screwmotion invariant helicoids with handles. In Global theory of minimal surfaces, pages 243–258. American Mathematical Society, Providence, RI, for the Clay Mathematics Institute, Cambridge, MA, edited by D. Hoffman, 2005.
 M. Weber, D. Hoffman, M. Wolf : An Embedded Genus One Helicoid. Proc. Nat. Acad. Sci., 102 (November 15, 2005) : 1656616568
 W. H. Meeks III and M. Weber. Bending the helicoid. Mathematische Annalen, 339:783–798, 2007.
 S. Fujimori and M. Weber. Triply periodic minimal surfaces bounded by vertical symmetry planes.
manuscripta mathematica, 129:29–53, 2008
 M. Weber, D. Hoffman, and M. Wolf. An embedded genusone helicoid. Ann. of Math., 169(2):347–448, 2009.
 M. Weber. Construction of harmonic surfaces with prescribed geometry. In Komei Fukuda, Joris Ho even, Michael Joswig, and Nobuki Takayama, editors, Mathematical Software ICMS 2010, volume 6327 of Lecture Notes in Computer Science, pages 170–173. Springer Berlin / Heidelberg, 2010.
 P. Connor and M. Weber. The construction of doubly periodic minimal surfaces via balance equations. American Journal of Mathematics, 2011. to appear.
 M. Weber and M. Wolf. Handle addition for doubly periodic scherk surfaces. Journal fu ̈r Reine und Angewandte Mathematik, 2011. to appear.
 M. Weber and M. Wolf. About the cover: Early images of minimal surfaces, Bull. Amer. Math. Soc., 2011
