Machiel Van Frankenhuijsen

Faculty Member

Machiel Van Frankenhuijsen


Machiel van Frankenhuijsen, currently working as a Full Professor at Utah Valley University Department of Mathematics, was born January 7, 1967 in The Netherlands. Dutch and US citizenship. Passion for teaching and research.Current theme of research is the construction and study of geometric frameworks to study questions in number theory, in particular,the abc conjecture, and in the theory of zeta functions. Current research also includes the study of fractal dimensions.


Postdoctoral Fellow, IH´ES, 1998

Major: Mathematics

Ph D, University of Nijmegen, 1995

Major: Mathematics

Doctoral, University of Nijmegen, 1990

Major: Mathematics


MATH 4340

Introduction to Number Theory, Spring 2024

MATH 2270

Linear Algebra, Spring 2024

MATH 3400

Partial Differential Equations, Spring 2024

MATH 1060

Trigonometry QL, Spring 2024


Van Frankenhuijsen, Machiel , Noncommutative Geometry Conference, University of Victoria,, "The Multiplication-Convolution Dynamical System.". ()
Van Frankenhuijsen, Machiel , “Fractal Geometry, Dynamical Systems, Number Theory and Analysis on Rough Spaces,”, "Array", Riverside, Complex dimensions of nonlattice self-similar strings.. (November, 2009)
Van Frankenhuijsen, Machiel , “Number Theory and Dynamical Systems,”, "The dynamics of the dilation operator in the multiplication–convolution algebra", Urbana. (March, 2009)
Van Frankenhuijsen, Machiel , conference for teachers at UVU, "The Birthday Paradox and Numerology". (June 19, 2008)
Van Frankenhuijsen, Machiel , special session on Number Theory in the South-West, Tucson,, "ABC implies the radicalized Vojta height inequality for curves.". (April 22, 2007)
Van Frankenhuijsen, Machiel , special session on Arithmetic Geometry, "The abc conjecture implies Vojta’s height inequality for curves.", New Orleans. (January 8, 2007)

Scholarly/Creative Works

Van Frankenhuijsen, Machiel , "The Riemann hypothesis for function fields over a finite field" . ova Science Publishers, arXiv_0806.0044v2.
Van Frankenhuijsen, Machiel , (2008) "The two variable zeta function and the Riemann hypothesis for function fields" (Issue: 26/3). Expositiones Mathematicae.
Van Frankenhuijsen, Machiel , (2007) "ABC implies the radicalized Vojta height inequality for curves" (Issue: 27). J. Number Theory.
Van Frankenhuijsen, Machiel , (2006) "Fractal geometry, complex dimensions and zeta functions (geometry and spectra of fractal strings" . New York: Springer-Verlag,.
Van Frankenhuijsen, Machiel , (2006) "Phase transitions on Hecke C*-algebras and class-field theory over Q (with M. Laca)" (Issue: 595). J. reine angew. Math.
Van Frankenhuijsen, Machiel , (2006) "Phase transitions with spontaneous symmetry breaking on Hecke C*-algebras from number fields" (Issue: 57). Aspects of Mathematics E.


Cum Laude, undergraduate thesis

Dutch Mathematics Olympiade, Second prize

International Mathematics Olympiade


Dutch Mathematics Olympiade, Third prize