Michael Bolt

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

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

    

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I am Professor of Mathematics at Calvin College. My work is in complex analysis of one and several variables and includes a program of supervising undergraduates in research. Before coming to Calvin to teach in 2004, I spent 3 years as an NSF-VIGRE postdoctoral fellow at the University of Michigan. From 2007 to 2013 my research was supported by the NSF under grants DMS-0702939, DMS-1002453. I recently completed a term on the Executive Committee of the Michigan Section of the MAA and served as chair during 2011-2012.

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RECENT COURSES

Math 100 -- Mathematics in the Contemporary World

Math 171-172-271 -- Calculus I-II-III

Math 361 -- Real Analysis I

Math 365 -- Complex Variables

Idis 150 -- DCM: Mathematics and Beauty

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RECENT PRESENTATIONS

"Szegő kernel transformation law for proper holomorphic mappings." University of Toledo, April 17, 2014.
[Complex Analysis Seminar]

"The Mathematics of Spot it!" Hope College, November 26, 2013.
[Mathematics Colloquium]

"Möbius invariance for hypersurfaces and curves." AMS Sectional Meeting, Temple U., October 13, 2013.
[AMS Meeting Program]

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CURRICULUM VITAE

An abbreviated CV
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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. "A global characterization of tubed surfaces in C^2."
    Proceedings of the American Mathematical Society, 138 (2010), 2771-2777.
  14. "The Möbius geometry of hypersurfaces, II."
    Michigan Mathematical Journal, 59 (2010), 695-715. pdf
  15. With David E. Barrett, "Laguerre arc length from distance functions."
    Asian Journal of Mathematics, 14 (2010), 213-233.
  16. With Sarah Snoeyink and Ethan Van Andel, "Visual representation of the Riemann and Ahlfors
    maps via the Kerzman-Stein equation." Involve, a Journal of Mathematics, 4 (2010), 405-420.
  17. "Spectrum of the Kerzman-Stein operator for a family of smooth regions in the plane."
    Journal of Mathematical Analysis and Applications, 413 (2014), 242-249.
  18. With Anthony Meyer and Nicholas Visser, "The fastest way not to run a four minute mile."
    College Mathematics Journal, 45 (2014),101-107. jrnl
  19. "Szegő kernel transformation law for proper holomorphic mappings."
    (To appear in Rocky Mountain Journal of Mathematics.)
  20. With Andrew Raich, "The Kerzman-Stein operator for piecewise continuously differentiable regions."
    (Submitted)
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SUPERVISED 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
  4. Ethan Van Andel, Riemann_Map(), a conformal mapping software utility to accompany Sage,
    released with version 4.4.2 (2010).
  5. Michael Bolt, Sarah Snoeyink and Ethan Van Andel, "Visual representation of the Riemann and Ahlfors
    maps via the Kerzman-Stein equation." Involve, a Journal of Mathematics, 4 (2010), 405-420.
  6. Andrew Mis and Joshua Keilman, "A Beckman-Quarles type theorem for fractional linear
    transformations of the double plane." RHIT Undergraduate Mathematics Journal, 12 (2011). jrnl
  7. Kyle DenHartigh and Rachel Flim, "Liouville theorems in the dual and double planes."
    RHIT Undergraduate Mathematics Journal, 12 (2011). jrnl
  8. Rebekah Coggin and Anthony Meyer, "The mathematics of Spot It!"
    Pi Mu Epsilon Journal, 13 (2013), 459-467.
  9. Conrad Blom, Timothy DeVries, Andrew Hayes and Daiwei Zhang, "Analytic extension and conformal
    mapping in the dual and double planes." RHIT Undergraduate Mathematics Journal, 14 (2013). jrnl
  10. Michael Bolt, Anthony Meyer, and Nicholas Visser, "The fastest way not to run a four minute mile."
    College Mathematics Journal, 45 (2014), 101-107. jrnl


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