Michael Bolt

Associate Professor
Department of Mathematics and Statistics
1740 Knollcrest Circle SE
Calvin College
Grand Rapids, MI 49546-4403

Office:  292 North Hall
Telephone:  616-526-6719
Fax:   616-526-6501
E-mail:    mbolt@calvin.edu

    
      Photo by Dave Raczkowski, Copyright 2005,
      The Grand Rapids Press.
      All rights reserved; used with permission.

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COURSES IN FALL, 2009

Math 171 (A, D) Calculus I

Math 271 (A) Multivariable Calculus

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RECENT PRESENTATIONS

"Paint by number: a visualization of complex functions." Michigan MAA meeting, UM-Dearborn (May, 2007)   [link] [abstract]

"Möbius geometry of hypersurfaces." Midwest SCV Conference, University of Michigan (March, 2007)   [link]

"The mathematics of Escher's 'Print Gallery'." Wayne State University, Student Colloquium (March, 2007)   [abstract] [links]

"The geometry of inversions." MMPC Awards Day, Delta College (February, 2005)  

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CURRICULUM VITAE

An abbreviated CV
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RESEARCH AREAS

Complex analysis, differential geometry, conformal mapping
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PUBLICATIONS

  1. With S.L. Haan, H. Nymeyer, and R. Grobe, "Effects of positive-ion resonances in
    photoionization of neutral atoms," Phys. Rev. A 51, 4640-4651 (1995).
  2. "A local geometric characterization of the Bochner-Martinelli kernel."
    Proceedings of the American Mathematical Society, 131 (2003), 1131-1136.
  3. "Holomorphic reproducing kernels for piecewise-smooth planar domains."
    Journal of Mathematical Analysis and Applications, 296 (2004), 154-164.
  4. "Spectrum of the Kerzman-Stein operator for model domains."
    Integral Equations and Operator Theory, 50 (2004), 305-315.
  5. "A geometric characterization: complex ellipsoids and the Bochner-Martinelli kernel."
    Illinois Journal of Mathematics, 49 (2005), 811-826. pdf
  6. "Spectrum of the Kerzman-Stein operator for the ellipse."
    Integral Equations and Operator Theory, 57 (2007), 167-184. pdf
  7. With David E. Barrett, "Cauchy integrals and Möbius geometry of curves."
    Asian Journal of Mathematics, 11 (2007), 47-54.
  8. "A lower estimate for the norm of the Kerzman-Stein operator."
    Journal of Integral Equations and Applications, 19 (2007), 453-463. pdf
  9. "Extremal properties of logarithmic spirals."
    Beiträge zur Algebra und Geometrie, 48 (2007), 493-520. pdf
  10. "The Möbius geometry of hypersurfaces."
    Michigan Mathematical Journal, 56 (2008), 603-622. pdf
  11. With Timothy Ferdinands and Landon Kavlie, "The most general planar transformations that
    map parabolas into parabolas." Involve, a Journal of Mathematics, 2 (2009), 79-88. pdf
  12. With Daniel Isaksen, "Dogs don't need calculus."
    The College Mathematics Journal, 41 (2010), 10-16. jrnl
  13. "The Möbius geometry of hypersurfaces, II."
    Michigan Mathematical Journal, (to appear). pdf
  14. With David E. Barrett, "Laguerre arc length from distance functions."
    Asian Journal of Mathematics, (to appear).
  15. "A global characterization of tubed surfaces in C^2."
    Proceedings of the American Mathematical Society, (to appear).
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STUDENT PUBLICATIONS

  1. Michael Bolt, Timothy Ferdinands and Landon Kavlie, "The most general planar transformations
    that map parabolas into parabolas." Involve, a Journal of Mathematics, 2 (2009), 79-88. pdf
  2. Timothy Ferdinands and Landon Kavlie, "A Beckman-Quarles type theorem for Laguerre
    transformations in the dual plane." RHIT Undergraduate Mathematics Journal, 10 (2009). jrnl
  3. James Hays and Todd Mitchell, "The most general planar transformations that map hyperbolas
    to hyperbolas." RHIT Undergraduate Mathematics Journal, 10 (2009). jrnl


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