Dr. Jonathan Burns
Research & Projects Homepage

About Jonathan Burns


Dr. Jonathan Burns

Contact

Address

Department of Mathematics & Statistics
University of South Florida
4202 East Fowler Ave, CMC342
Tampa, FL, 33620-5700

Office: CMC 131-C
Email: jtburns@mail.usf.edu

Education


Professional Employment


Business & Industrial


Peer-Reviewed Publications


  1. S. Abramovich, J. Burns, S. Campbell, A.Z. Grinshpan.
    “STEM Education: Action Learning in Primary, Secondary, and Post-secondary Mathematics.”
    IMVI Open Math. Ed. Notes 6:2 (2016), 65-106.
    pdf: website
  2. J. Burns, D. Kukushkin, X. Chen, L.F. Landweber, M. Saito, N. Jonoska.
    “Recurring patterns among scrambled genes in the encrypted genome of the ciliate Oxytricha trifallax.”
    J. Theor. Biol. 410 (2016), 171-180.
    doi: 10.1016/j.jtbi.2016.08.038
  3. J. Burns, D. Kukushkin, K. Lindblad, X. Chen, N. Jonoska, L.F. Landweber.
    “<mds_ies_db>: a database of ciliate genome rearrangements.”
    Nucl. Acids Res. 44:D1 (2016), D703-D709.
    doi: 10.1093/nar/gkv1190
  4. J. Burns, N. Jonoska, M. Saito.
    “Genus Ranges of Chord Diagrams.”
    J. Knot Thoery Ramif. 24:4 (2015), 1550022.
    doi: 10.1142/S0218216515500224
  5. J. Burns, E. Dolzhenko, N. Jonoska, T. Muche, M. Saito.
    “Four-regular graphs with rigid verticies associated to DNA recombination.”
    Disc. Applied Math. 161:10-11 (2013), 1378-1394.
    doi: 10.1016/j.dam.2013.01.003
  6. J. Burns, T. Muche.
    “Counting irreducible double occurrence words.”
    Congr. Numer. 207 (2011), 181-196.
    preprint: arXiv:1105.2926

Conference Presentations


  1. “Counting Patterns of DNA Rearrangement.”
    Forty-Seventh Southeastern International Conference on Combinatorics, Graph Theory, and Computing,
    (Flordia Atlantic University, Boca Raton, 2016).
    slides:   PDF (2.16 MB)
  2. “Characterizations of the scrambling patterns between the encrypted Oxytricha trifallax genomes.”
    Symposium on Biomathematics and Ecology: Education and Research,
    (Illinois State University, Normal, 2015).
    Travel grant awarded.
    slides:   PDF ()   PPTX (11.8 MB)
  3. “Enumeration of Irreducible Multiple-Occurrence Words.”
    Forty-Sixth Southeastern International Conference on Combinatorics, Graph Theory, and Computing,
    (Flordia Atlantic University, Boca Raton, 2015).
    slides:   PDF (2.16 MB)
  4. “A Connection Between Integer Lattice Point Solutions to Conic Sections and Integer Factorizations.”
    Forty-Fifth Southeastern International Conference on Combinatorics, Graph Theory, and Computing,
    (Flordia Atlantic University, Boca Raton, 2014).
    slides:   PDF (67.2 MB)
  5. “Promoting Undergraduate Research Activities for STEM Majors through Double-Supervised Interdisciplinary Projects.”
    MAA Florida Suncoast Regional Meeting XXXVIII,
    (HCC-South Shore, Ruskin, 2013).
    slides:   PDF (12.7 MB)   PPTX (18.1 MB)
  6. “Calculating the Braid Index of Chord Diagrams.”
    Forty-Fourth Southeastern International Conference on Combinatorics, Graph Theory, and Computing,
    (Flordia Atlantic University, Boca Raton, 2013).
    slides:   PDF (3.26 MB)
  7. “Extending the assembly graph model to include multiple scrambled genes.”
    Discrete and Topological Models in Molecular Biology,
    (University of South Florida, Tampa, 2012).
    poster:   PDF (4.24 MB)
  8. “Multiparameter binomial sums.”
    AMS Southeastern Section Meeting #1079,
    (University of South Florida, Tampa, 2012). (with Arcadii Z. Grinshpan)
    slides:   PDF (0.8 MB)
  9. “Counting Irreducible Double Occurrence Words.”
    Forty-Second Southeastern International Conference on Combinatorics, Graph Theory, and Computing,
    (Flordia Atlantic University, Boca Raton, 2011).
  10. “Applications of General Inequalities to Some Engineering Problems.”
    7th International Conference on Differential Equations and Dynamical Systems,
    (University of South Florida, Tampa, 2010).
  11. “Combinatorial Aspects of Assembly Graphs.”
    MAA Florida Suncoast Regional Meeting XXXV,
    (University of Tampa, Tampa, 2010).