Machiel van Frankenhuijsen

Machiel van Frankenhuijsen Full Professor U T A H V A L L E Y U N I V E R S I T Y D E P A R T M E N T O F M A T H E M A T I C S 8 0 0 W E S T U N I V E R S I T Y P A R K W A Y O R E M, U T A H 8 4 0 5 8-5 9 9 9 Email v a n f r a m a @ u v u. e d u Telephone +1-801-863-8685 Fax +1-801-863-6254 Profile 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 citizenship. Resident of the United States. 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. Education Ph.D., Radboud Universiteit Nijmegen, 1995. Advisors: Prof. Dr. A.C.M. van Rooij and Dr. R.A. Kortram. Doctoraal examen, Radboud Universiteit Nijmegen, 1990. Thesis: Over het vermoeden van Riemann ( About Riemann s Hypothesis ), Cum Laude. Propedeuse, Radboud Universiteit Nijmegen, 1986 (major Mathematics; minor Computer Science). Stedelijk Gymnasium Nijmegen, The Netherlands, 1985. Further education, workshops, conferences Workshop Kummer Classes and Anabelian Geometry, Burlington, VT, September 10 11, 2016. Funded. Workshop Inter-universal Teichmüller Theory Summit 2016, July 18 27, Kyoto University, Japan. Y480,000 funding from the RIMS. Workshop Vojta s Conjectures, September 28 to October 3, 2014, BIRS Institute, Banff, Canada. Summer School Operator Algebras and Non-Commutative Geometry, June 2010, University of Victoria. Workshop Arithmetic Geometry, October 2008, Fields Institute, Toronto. CBMS conference Graph Algebras, June 2004, University of Iowa. Workshop Zeta-Functions and Associated Riemann Hypotheses, May 2002, Courant Institute of Mathematical Sciences. Number theory conference in CSU San Marcos, CA, June 2000. Conference Diophantine Geometry Related to the ABC Conjecture, University of Arizona, Tucson, March 1998. Conference Fractal Geometry and Number Theory, August 1997, University of Iowa. Course at UNILO (KU Nijmegen, to teach at high-schools), 1995. Work at two high-schools in The Netherlands. Conference Potential theory, August 1993, Université de Montréal. Congress The development of mathematics between 1900 and 1950, June 1992, University of Luxemburg. Workshop Speciale functies, University of Twente, January 1991, The Netherlands. W E B : R E S E A R C H. U V U. E D U / M A C H I E L

Employment Full Professor, Utah Valley University, June 2015 present. Associate Professor, Utah Valley University, 2009 2015. Assistant Professor, Utah Valley University, 2003 2009. Assistant Professor, Rutgers University, 2000 2003. Visiting Assistant Professor, UC Riverside, 1998 2000. Marie Curie research fellow, Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France, 1996 1998. Erasmus Fellow, University of Tübingen, Germany, March May 1990. Visiting positions Summer 2017: Visiting Scholar at Hawai i Pacific University (invited by H. Lu). Summer 2015: Visiting Scholar at the University of Kyoto (invited by S. Mochizuki). 2011: Sabbatical year at the Georg-August-Universität Göttingen (invited by R. Meyer). June 2007: University of Victoria, Canada (invited by M. Laca). February 2007: Institut des Hautes Études Scientifiques, Paris, France. June 2006: University of Hannover, Germany (invited by E. Schrohe). July 2001: University of Münster, Germany (invited by M. Laca). July August 1999: University of Newcastle, Australia (invited by M. Laca). January February 1998: University of California, Riverside (invited by M.L. Lapidus). January February 1997: University of California, Riverside (invited by M.L. Lapidus). July August 1995: Visiting Scholar, University of Rennes, France (invited by B. Edixhoven). March April 1994: Visiting Scholar, Yale University (invited by S. Lang). Dissemination of scholarship and teaching Workshops Curves Over Finite Fields, Connes Approach. May 9 20, 2016, USD1,000 funding from the Number Theory Foundation. Curves Over Finite Fields, Bombieri s Approach. June 30 July 11, 2014. Seminars Curves over Finite Fields, University of Göttingen, Spring 2011. Curves over Finite Fields, Rutgers University, Spring 2002. Tate s Thesis, Rutgers University, Fall 2001. Riemann Zeros and Prime Powers, research seminar in computational mathematics, UC Riverside, Fall 1999. Future Conferences AMS Special Session on Geometry, Analysis, Dynamics and Mathematical Physics on Fractal Spaces, University of Hawai i, March 22 24, 2019, with J. Chen, H. Lu, and R.G. Niemeyer. Conferences organized AMS Special Session on Fractal Geometry and Dynamical Systems, January 7, 2016, Seattle, with John Rock (Cal Poly Pomona) and Michel L. Lapidus (UC Riverside). First annual Utah Regional Undergraduate Mathematics Conference (URUMC), with Violeta Vasilevska and Bob Palais, November 1, 2014. Special session Fractal Geometry: Mathematics of Fractals and Related Topics, January 15 18, 2014, Baltimore, Michel Lapidus (UCR), Erin Pearse (UO), and Robert S. Strichartz (Cornell University). Special session Number Theory and Fractal Geometry, March 6 7, 2012, University of Hawai i, PAGE 2

Grants Manoa, with Hung Lu (HPU), Michel Lapidus (UCR), Erin Pearse (UO), and John Rock (UCS). Special session Geometry and Analysis on Fractal Spaces, March 3 4, 2012, University of Hawai i, Manoa, with Hung Lu (HPU), Michel Lapidus (UCR), Erin Pearse (UO), and John Rock (UCS). Graduate Workshop Zeta Functions, L-Functions and their Applications, June 1 4, 2009, Utah Valley University, Orem, Utah, with Roger Baker, Darrin Doud and Paul Jenkins (BYU), $18,000 NSF funding. Special session Number Theory in the South-West, with Jasbir Chahal, BYU, at the Western Section Meeting, Tucson, AZ, April 21 22, 2007. Special session Number Theory, with Jasbir Chahal, BYU, at the Western Section Meeting, Salt Lake City, Utah, October 7 8, 2006. Special session Fractal Geometry: Connections to Dynamics, Geometric Measure Theory, Mathematical Physics and Number Theory, with Michel L. Lapidus and Erin P. J. Pearse, at the 2006 Spring Western Section Meeting, San Francisco, CA, April 29 30. Co-organize the special session Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot, San Diego, CA, January 6 9, 2002. The proceedings have been published, 2004. Co-organize the special session Fractal Geometry, Number Theory and Dynamical Systems, Lyon, France, July 17 20, 2001. Co-organize the special session Dynamical, Spectral and Arithmetic Zeta Functions, San Antonio, Texas, January 1999. The proceedings have been published in: Contemporary Mathematics 290, AMS, Providence, RI, 2001. Graduate courses Roth s Theorem and the ABC Conjecture, UC Riverside, Spring 2000. The Prime Number Theorem, UC Riverside, Spring 1999. Undergraduate courses Geometry, Utah Valley University, Spring 2016. Partial Differential Equations, Utah Valley University, Spring 2013. Introduction to Analysis, Utah Valley University, Fall 2012. Discrete Mathematics, Utah Valley University, Fall 2012. Cryptology, Utah Valley University, Fall 2007. Number Theory, Utah Valley University, Summer 2004, Spring 2009, 2013. Linear Algebra, Utah Valley University, Spring 2009. College Algebra, Trigonometry, Calculus I and II, Utah Valley University, 2003 present. Introduction to Mathematical Reasoning, Rutgers University, 2003 Cryptology for Liberal Arts, Rutgers University, 2002. Single and multivariable calculus, linear algebra, Rutgers University, 2000 2003. Calculus, linear algebra, differential equations, UC Riverside, 1998 2000. Advanced Calculus (upper division), UC Riverside, Winter 2000. Speciale Functies, Nijmegen, The Netherlands, 1993. Teaching assistant For linear algebra, geometry, logic,..., Katholieke Universiteit Nijmegen, The Netherlands, 1986 1994. High school and elementary school Teacher at two high schools in The Netherlands, 1995. Teach Mathematical Olympiads for Elementary and Middle Schools (MOEMS), 2012. PAGE 3

From UVU Presidential Faculty Scholarly Grant, 2007. Summer stipend, 2005, 2007, and 2008. Presidential Award, 2003. External grants Number Theory Foundation, $1,000, 2015 DAAD, Research Visit for Faculty, 5,970 Euro awarded, 2011. Marie-Curie fellowship, 1996 1998. Erasmus grant, 1990. Honors and awards Cum Laude, undergraduate thesis, 1990. International Mathematics Olympiade, Finland, 1985. Dutch Mathematics Olympiade, Second prize, 1985. Dutch Mathematics Olympiade, Third prize, 1984. Professional service Member of the Scholarship Committee for the Department of Mathematics, 2014 present. Chair of the RTP committee, Department of Mathematics, 2013 present. Member of the hiring committee for the Department of Mathematics, 2013 present. Editor of proceedings Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I and II. Grant reader for the National Science Foundation, January 30 February 3, 2010. Organize the Utah State Math Contest on March 17, 2010. Organize the Utah State Math Contest on March 18, 2009. Member of the faculty senate, 2009 2010. Coordinator for the College Algebra Sections, Fall 2008. Chair of Quantitative Litteracy Committee, Fall 2006. Reviewer for the Sterling Scholarships, at the Copper Hills High School, February 15, 2006. Chairman of chair search committee, UVU, 2005. Reviewer for Mathematical Reviews, 1999 2012. Reviewer for FIPSE (Fund for the Improvement of Postsecondary Education), November 20, 21, 2003. Help organize Expanding Your Horizons, UVU, 2003 and 2004. Organization of special sessions: AMS meeting, Salt Lake City, San Francisco, 2006, San Diego, 2002, Austin, TX, 1999; joint AMS-SMF meeting, Lyon, France, 2001. Editor of proceedings Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot. Editor of proceedings Dynamical, Spectral and Arithmetic Zeta Functions. Referee for scholarly journals and publishers Oxford University Press. Birkhäuser Verlag. American Mathematical Society. American Institute of Mathematics. Journal of Fractal Geometry. Bulletin of the London Mathematical Society. Journal of Number Theory. Experimental Mathematics. PAGE 4

Journal of Mathematical Analysis and Applications. Complex Analysis and Operator Theory. Applied Mathematics Letters. Letters in Mathematical Physics. Topology. International Journal of Geometric Methods. Mathematical Physics, Analysis and Geometry. Editor for scholarly publications Managing editor of the Journal of Fractal Geometry, 2013 present. Managing editor of the World Scientific series Fractals and Dynamics in Mathematics, Science and the Arts: Theory and Applications. Invited talks At conferences June 27, 2016, at the conference in honor of Michel Lapidus, San Luis Obispo, CA, The Spectral Operator and the Riemann Hypothesis. March 14 15, 2015, special session at Michigan State University, Lacunarity of fractals and fractal homology. March 3 and 7, 2012, special session at the University of Hawai i, Manoa, Complex Dimensions of Cantor Strings and the Riemann Zeros. January 4 8, 2012, special session on Fractal Geometry in Boston, Complex Dimensions of Cantor Strings and the Riemann Zeros. November 8 12, 2011, plenary talk in Messina, Sicily (Italy), Complex Dimensions of Cantor Strings and the Riemann Zeros. June 28 July 2, 2010, Noncommutative Geometry Conference, University of Victoria, The Multiplication-Convolution Dynamical System. November 7 8, 2009, special session on Fractal Geometry, Dynamical Systems, Number Theory and Analysis on Rough Spaces, Riverside, Complex dimensions of nonlattice self-similar strings. March 27 29, 2009, special session on Number Theory and Dynamical Systems, Urbana, The dynamics of the dilation operator in the multiplication convolution algebra. June 19, 2008, conference for teachers at UVU, The Birthday Paradox and Numerology. April 22, 2007, special session on Number Theory in the South-West, Tucson, ABC implies the radicalized Vojta height inequality for curves. January 8, 2007, special session on Arithmetic Geometry, New Orleans, The abc conjecture implies Vojta s height inequality for curves. October 8, 2006, special session on Number Theory, Salt Lake City, Arithmetic progressions of zeros of the Riemann zeta function. April 2006, special session on Fractal Geometry, San Francisco, Finite Arithmetic Progressions of Zeros of the Riemann Zeta Function. January 5 8, 2005, special session on Inverse Spectral Geometry, Atlanta, Ga, Arithmetic Progressions of Zeros of the Riemann Zeta Function. Special session on Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot, San Diego, CA, January 2002. Special session on Fractal Geometry, Number Theory and Dynamical Systems, Lyon, France, July 2001. Texas Geometry and Topology Conference at Texas Christian University, Feb. 23 25, 2001, ABC implies Vojta s Height Inequality for Curves. AMS meeting on Interconnections Among Diophantine Geometry, Algebraic Geometry, and Value Distribution Theory, Austin, Texas, October 8 10, 1999, The Contribution of the Infinite Valuation to the Radical, abstract #948-11-96, AMS meeting 948. PAGE 5

University of Newcastle, Australia, in the miniconference on Hecke Algebras, Aug. 11 12, 1999, Hecke Algebras in Number Theory. Special session on Dynamical, Spectral and Arithmetic Zeta Functions, (San Antonio, Texas, January 1999), Complex Dimensions of Self-Similar Fractal Strings, abstracts Amer. Math. Soc. 20, No. 1 (1999), p. 126, #939-58-84. XV Escola de Álgebra in Canela, RS, Brasil, July 1998, ABC implies Roth s Theorem and Mordell s Conjecture. Winter school Diophantine Problems Related to the ABC Conjecture, Tucson, Arizona, March 14 18, 1998, ABC implies Roth and Mordell. Special session on Analysis, Diffusions and PDEs on Fractals, (San Diego, CA, January 1997), Zeta Functions and Explicit Formulas for the Geometry and the Spectrum of Fractal Strings, abstracts Amer. Math. Soc. 18, No. 1 (1997), pp. 82 83, #918-35-539. Annual meeeting of the Dutch Mathematical Society, 1993, The ABC Conjecture for Meromorphic Functions. At colloquia RIMS, Kyoto University, June 10, 2015, Fourier Transform and the Calculus of Residues. Brigham Young University, Provo, 2014, Ideas for the Riemann Hypothesis. University of Göttingen, Germany, 2011, The Weil distribution. Brigham Young University, Provo, 2008, Selberg s Trace Formula, I & II. Brigham Young University, Provo, 2007, ABC implies the radicalized Vojta height inequality for curves. Brigham Young University, Provo, 2003, ABC implies Vojta s Height Inequality. Max-Planck Institut, Bonn, Germany, 2001, ABC implies Vojta s Height Inequality. Technion, Israel, Sep. 9, 1999, Hecke Algebras and Classfield Theory. UC Riverside, Jan. 29, 1997, The Error Term in the ABC Conjecture. Max-Planck Institut, Berlin, Germany, July 1995, The Error Term in the ABC Conjecture. At seminars Seminar on Noncommutative Geometry (Ralf Meyer), Morita Equivalence, 2011. Harvard-MIT Algebraic Geometry Seminar, MIT, Boston, Dec. 7, 1999, ABC implies Vojta s Height Inequality for Curves. Technion, Haifa, Israel, December 1998, Complex Dimensions of Self-Similar Fractal Strings. IHÉS, France, Oct. 24, 1997, Construction of Spec F 1. Gelfand Seminar, IHÉS, August 11, 1997, Fractal Strings and the Riemann Zeta Function. UC Riverside, Feb. 11, 1997, Functional Analysis Seminar, The ABC Conjecture for Meromorphic Functions. UC Riverside, Jan. 30, 1997, Mathematical Physics Seminar, Fractal Strings and the Riemann Zeta Function. Invited papers For the memorial volume in honor of Serge Lang, About the ABC Conjecture and an Alternative. Memberships The American Mathematical Society. Het Wiskundig Genootschap (Dutch Mathematical Society). Languages Dutch: native. English: fluent. French: fluent. PAGE 6

German: fluent. Russian: working proficiency. PAGE 7