John Kerl Software engineer Mathematician Writer kerl.john.r@gmail.com

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  • Dissertation topic: Critical behavior for the model of random spatial permutations.
    • Research statement, lay version.
    • Doctoral dissertation: Critical behavior for the model of random spatial permutations. PDF format, PostScript format, DVI format; defense slides.
      Frontmatter,
      Chapter 1: Scientific context,
      Chapter 2: The model of random spatial permutations,
      Chapter 3: Random variables,
      Chapter 4: Markov chain Monte Carlo methods,
      Chapter 5: The swap-only and swap-and-reverse algorithms,
      Chapter 6: Band updates,
      Chapter 7: The worm algorithm,
      Chapter 8: Delta H computations,
      Chapter 9: Algorithms for single MCMC runs,
      Chapter 10: Batching of MCMC runs,
      Chapter 11: Results,
      Chapter 12: Future work,
      Appendix A: Bose-gas derivation of random permutations,
      Appendix B: Error bars, autocorrelation, and batched means,
      Backmatter.
    • Dissertation appendix: Notes on exponentially correlated stationary Markov processes.
    • Slides for a job talk: half on general MCMC methods, half on my dissertation research.
    • Slides for 15-minute talk at the February 2010 Workshop of the Center for Simulational Physics at the University of Georgia; manuscript for same.
    • Slides for 15-minute talk at the January 2010 joint meetings.
    • Preprint of condensed version of dissertation, submitted to Journal of Statistical Physics: arXiv:0912.4292 [cond-mat.stat-mech]; local copy.
    • VIGRE proposal for spring 2010; statement of merit and impact; VIGRE report for spring 2010.
    • September 2009 talk for the UA Mathematical Physics Seminar: abstract, slides.
    • July 2009 talk for the Berlin SPA: abstract, slides.
    • VIGRE proposal for summer/fall 2009; VIGRE report for summer 2009, VIGRE report for fall 2009.
    • Written comprehensive examination paper; slides for oral comprehensive examination (January 2009).
    • Pseudocode for MCMC simulation of the N2 model (spring 2008).
    • VIGRE proposal for fall 2008.
    • April 2008 talk for the UA Mathematical Physics Seminar: abstract, slides, paper.
  • Spring 2008 (follow-up in summer 2009): Independent study under Jan Wehr on a percolation problem arising in quantum networks.
    • Jun. 2009 lecture slides.
    • Oct. 2008 lecture slides.
  • Fall 2006 Research Tutorial Group.
    • Paper on the discrete Berezin integral.
  • Master’s thesis, May 2005:
    • Thesis: Curves and Codes.
    • Defense slides.
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