Machiel van Frankenhuijsen

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Machiel van Frankenhuijsen , also cited as van Frankenhuysen, (born January 7, 1967 in Roermond ) is a Dutch mathematician who deals with number theory.

Frankenhuysen went to school in Nijmegen and studied at the Catholic University of Nijmegen from 1985 , where he graduated in 1990 ( About the Riemann Hypothesis ) and received his doctorate in 1995 at ACM van Rooij ( Hyperbolic Spaces and the abc conjecture ). He was an Erasmus Fellow at the University of Tübingen , in 1994 at Yale University with Serge Lang , in 1995 at the University of Rennes with Bas Edixhoven and from 1996 to 1998 as a Marie Curie Fellow at IHES with Alain Connes . He was also a visiting researcher at the University of California, Riverside , with Michel Lapidus , and was visiting assistant professor there from 1998 to 2000. In 2000 he was Visiting Professor at Rutgers University and from 2003 Assistant Professor at Utah Valley University , since 2009 as Associate Professor. He was also a visiting scholar at the Universities of Münster, Hanover and Göttingen.

Van Frankenhuysen dealt with the abc conjecture and its connection to the Mordell conjecture and the Thue-Siegel-Roth theorem , with the Riemann hypothesis , also in connection with Connes' attempt to prove, and with the theory of complex dimensions (poles of a associated "geometric zeta function") in fractal geometry.

Fonts

  • with Michel L. Lapidus: Fractal Geometry and Number Theory , Birkhäuser 2000
  • Editor with Lapidus: Dynamical, Spectral and Arithmetical Zeta Functions , AMS, Contemporary Mathematics Volume 290, 2001
  • with Michel Lapidus: Complex dimensions of self-similar fractal strings and diophantine approximation. Experimental Mathematics 12 (2003), pp. 41-69
  • Editor with Lapidus: Fractal Geometry and Applications: A Jubilee to Benoit Mandelbrot , 2 volumes, AMS, Proc. Symp. Pure Math., Volume 72, 2004
  • with Lapidus: Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings , Springer 2008

Web links

Individual evidence

  1. in his CV than undergraduate thesis referred