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Machiel Van Frankenhuijsen

Faculty Member

Machiel Van Frankenhuijsen

Biography

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.

Education

Postdoctoral Fellow, IH´ES, 1998

Major: Mathematics

PhD, University of Nijmegen, 1995

Major: Mathematics

Doctoral, University of Nijmegen, 1990

Major: Mathematics

Teaching

MATH 1220

Calculus II, Fall 2024

MATH 3100

Foundations of Geometry, Fall 2024

MATH 4310

Introduction to Modern Algebra I, Fall 2024

MATH 1060

Trigonometry QL, Fall 2024

MATH 2250

Differential Equations and Linear Algebra, Summer 2024

MATH 490R

Topics in Mathematics, Summer 2024

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

Presentations

Van Frankenhuijsen, Machiel (Co-Author), AMS Annual Meeting 2025, "Quasicrystals and Self-Similar Fractal Strings", American Mathematical Society, Seattle WA. (January 10, 2025)
Van Frankenhuijsen, Machiel (Co-Author), AMS Sectional Meeting, Savannah GA, "Quasicrystals and Self-Similar Fractal Strings", American Mathematical Society, Savannah, Georgia Southern University. (October 5, 2024)
Van Frankenhuijsen, Machiel (Co-Author), Dubrovnik X, Topology & Dynamical Systems, "Quasicrystals and Self-Similar Fractal Strings", UVU, Dubrovnik, Croatia. (June 28, 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)

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.

Awards

Cum Laude, undergraduate thesis

Dutch Mathematics Olympiade, Second prize

International Mathematics Olympiade

Finland

Dutch Mathematics Olympiade, Third prize