english

FRANCISCO MARTIN

UPDATED: JULY 18, 2008

Nikolay Nadirashvili and myself in Alhambra Castle

How to contact me:

Departamento de Geometría y Topología.
Facultad de Ciencias.
Universidad de Granada.
18071 Granada (SPAIN)

Phone +34 958 243 396

Fax +34 958 243 281

Versión en español

Papers and preprints

Density theorems and applications. Proceedings of the workshop "Progress in surface theory". Oberwolfach April 29th - May 5th, 2007.
The existence of proper minimal surfaces of arbitrary topological type (with L. Ferrer and W. H. Meeks III). Preprint.
Complete bounded null curves immersed in C³ and SL(2,C) (with M. Umehara and K. Yamada). Preprint math.DG/0603530.
Density theorems for complete minimal surfaces in R³ (with A. Alarcon and L. Ferrer). GAFA. 18 (2008), 1-49.
A Jordan curve spanned by a complete minimal surface (with N. Nadirashvili). Arch. Ration. Mech. Anal. 184(2) (2007), 285-301.
Bounded domains which are universal for minimal surfaces (with W. H. Meeks III and N. Nadirashvili). American J. of Math. 129(2) (2007), 455-461..
A uniqueness theorem for the singly periodic genus-one helicoid (with A. Alarcón and L.Ferrer). Trans. A.M.S. 359(6) (2007), 2819-2829..
The embedded singly periodic Scherk-Costa surfaces (with V. Ramos-Batista). Math. Ann. 336(1) (2006), 155-189.
Complete proper minimal surfaces in convex bodies of R³ (II) (with S. Morales). Comm. Math. Helv. 81(3) (2006), 699-725.
Complete nonorientable minimal surfaces in a ball (with F.J. López and Santiago Morales). Trans. Amer. Math. Soc. 358 (2006), 3807-3820.
Minimal surfaces with helicoidal ends (with L. Ferrer). Math. Zeit. 250(4) (2005), 807-839.
Complete proper minimal surfaces in convex bodies (with S. Morales). Duke Math. J. 128(3) (2005), 559-593.
On the asymptotic behavior of a complete bounded minimal surface in R^3 (with S. Morales). Trans. A.M.S. 356(10) (2004), 3985-3994.
Properly embedded minimal disks bounded by non compact polygonal lines (with L. Ferrer). Pacific J. Math., 214(1) (2004), 55-88.
Adding handles to Nadirashvili's surfaces (with F. J. López y S. Morales). Journal of Differential. Geometry 60 (2002), no. 1, 155-175..
Minimal surfaces in a wedge of a slab (with F. J. López). Communications in Analysis and Geometry, Vol. 9, n. 4 (2001), 683-723
A complete bounded minimal cylinder in R^3 (with S. Morales). Michigan Math. J. Vol. 47 (2000), n. 3, 499-514.
Properly Embedded Minimal Surfaces with Three Ends (with M. Weber). Duke Math. J. Volume 107, Number 3, (2001) 533-560.
A note on the Gauss map of a complete nonorientable minimal surface (with F.J. López). Pacific J. Math., Vol. 194, No. 1, (2000) 129-135.
Uniqueness of properly embedded minimal surfaces bounded by straight lines (with F.J. López). J. Australian Math. Soc. Series A 69 (2000), no. 3, 362-402..
A survey on complete minimal surfaces in R ^3. Publicacions Matematiques, Vol. 43, No. 2, (1999) 341-449. (with F J López)
Complete minimal surfaces derived from Chen-Gackstätter genus two example. Pacific J. Math., Vol. 184, No. 2, (1998) 311-332. (with F.J. Lopez and D. Rodríguez).
A new approach to the construction of complete minimal surfaces derived from the genus two Chen-Gackstatter example. Illinois J. Math., Vol. 41, No. 2, (1997) 171-192; (with D. Rodríguez).
A characterization of the periodic Callahan-Hoffman-Meeks surfaces in terms of their symmetries. (with D. Rodríguez) Duke Math. J., Vol. 89, No. 3, (1997) 445-463.
A note on the uniqueness of the periodic Callahan-Hoffman-Meeks surfaces. Geometriae Dedicata 86 (2001), no. 1-3, 185-190..
Complete nonorientable minimal surfaces with the highest symmetry group. American J. Math., Vol. 119, No. 1, (1997) 55-81; (with F. J. López).
Complete nonorientable minimal surfaces and symmetries. Duke Math. J., Vol. 79, No. 3, (1995) 667-686; (with F. J. López).

Papers and preprints

copyright Francisco Martín .