Ton Marar

Publicações

Livros

Eine spielerische Reise in die geometrische Topologie,
Springer (2024) 

A Ludic Journey into Geometric Topology,
Springer (2023) 

Topologia Geométrica para Inquietos, segunda edição
Edusp (2023) 

Real and Complex Singularities (Editor),
Pitman Research Series in Math. 333, Longman (1995) 

Artigos

Modelos do plano projetivo no espaço tridimensional

Revista de Matemática Universitária (2021), 47-55.

Slicing corank 1 map germs from C2 to C3, with J.J. Nuño-Ballesteros

The Quarterly Journal of Mathematics 65 (2014), 1375-1395.

Double point curves for corank 2 map germs from C2 to C3, with J.J. Nuño-Ballesteros and G. Peñafort-Sanchis

Topology and its applications 159 (2012), 526-536.  

Twist.

In: Numa dada situação by Francis Alÿs, Cosac Naify 2010

The doodle of a finitely determined map-germ from R2 to R3, with J.J. Nuño-Ballesteros

Advances in Mathematics 221 (2009), 1281-1301.

A note on finite determinacy corank 2 map germs from surfaces to 3-space, with J.J. Nuño-Ballesteros

Math. Proc. Camb. Phil. Soc. 145 (2008), 153-163.   

Projective planes and the Tripartite Unity,

Visual Mathematics 9 (2007), Serbian Academy of Sciences and Arts.

Aspectos topológicos na arte concreta,

II Bienal da Soc. Bras. de Matemática, Salvador (2004).

Aspectos topológicos na arte concreta de Max Bill,

ItauCultural, São Paulo, Interatividades (2003), Rejane Cantoni e Daniela Kutschat (orgs.)

Superfícies singulares,

Matemática Universitária, Soc.Bras.Mat. 33 (2002), 45-64.

Multiplicities of zero-schemes in quasihomogeneous singularities, with J.A. Montaldi and M.A.S. Ruas

Singularity Theory, London Math. Soc. LNS 263, Cambridge Univ. Press (1999), 353-367.

On versal unfoldings of singularities for general two-dimensional spatial motions, with C. Gibson and C. Hobbs

Acta Applicandae Math. 47 (1997), 221-242.  

Images and Varieties, with J. W. Bruce

Journal of Mathematical Sciences 82 (1996), 3633-3641.  

On the geometry of simple germs of corank 1 maps fom R3 to R3, with F. Tari

Math. Proc. Camb. Phil. Soc. 119 (1996), 469-481.  

Real map germs with good perturbations, with D. Mond

Topology 35 (1996), 157-165.  

The Euler number of a topologically stable singular surface in a 3-manifold, with S. Izumiya

Journal of Geometry 52 (1995), 108-119.

Singular surfaces with a single triple point, with P. Cromwell

Geometriae Dedicata 52 (1994), 143-153.  

The Euler characteristic of the image of a stable mapping from a closed n-manifold to a (2n-1)-manifold, with S. Izumiya
Matemática Contemporânea 5 (Brazilian Math. Soc.) (1993), 53-59.

The Euler characteristic of a generic wave front in a 3-manifold, with S. Izumiya
Proc. American Math. Soc. 118 (1993), 1347-1350.

Mapping Fibrations,
Manuscripta Math. 80 (1993), 273-281.

The Euler characteristic of the disentanglement of the image of map-germ,
Springer Lect. Notes in Math. 1462 (1991), 212-219.

Multiple point schemes for corank 1 maps, with D. Mond
J. London Math. Soc. (2) 39 (1989), 553-567.

Mapping Fibrations and Multiple Points Schemes,
PhD Thesis, Warwick (1989).