Hernando Burgos Soto is a Canadian (Colombian born) writer and mathematician, professor of mathematics at George Brown College.[1] He is the author of several math papers in which he introduced some mathematics concepts and extended to tangles some celebrated results of knot theory about the Khovanov homology and the Jones polynomial.[2][3] During his career as a mathematician, his interests have included Mathematical Statistics, Knot Theory, Algebraic Topology and more recently Mathematical Finance. He is comfortable writing in English and Spanish. When writing in Spanish, he works in the area of prose fiction writing short stories. Some of his short stories were published at the website Cuentos y Cuentos.[4]
Hernando Burgos-Soto | |
|---|---|
| Born | Colombia |
| Nationality | Colombia, Canada |
| Alma mater | National University of Colombia, University of Toronto |
| Scientific career | |
| Fields | Mathematics |
| Institutions | George Brown College |
| Doctoral advisor | Dror Bar-Natan |
Education
editProfessor Burgos Soto holds a BSc.Ed in mathematics at the University of Atlántico and a MSc in Mathematics from the University of Valle. He earned a PhD in mathematics from National University of Colombia in 2009, and completed his dissertation at University of Toronto under the guidance of professor Dror Bar-Natan.[5]
Research
editHis works include regression diagnostic analysis for General Linear Models,[6] extension to tangles of Morwen Thistlethwaite's result on the alternation of the Jones polynomial for alternating links,[7] and a Lee's result on Khovanov homology for links, that states that the Khovanov homology for alternating links is supported in two lines. During his works Professor Burgos has introduced some Mathematical concepts such as: Gravity Information in a tangle diagram, Alternating planar algebras, and Rotation Number of Smoothings.[8]
Selected Publication
edit- Burgos-Soto, Hernando (2010) The Jones Polynomial of Alternating Tangles, Journal of Knot Theory and Its Ramifications, Volume 19, Issue 11, Nov. 2010, pages 1487–1505
References
edit- ^ [1], George Brown College. Accessed December 19, 2015
- ^ Burgos-Soto, Hernando (2010). "The Jones Polynomial and the Planar algebra of alternating tangles". Journal of Knot Theory and Its Ramifications. 19 (11): 1487. arXiv:0807.2600. doi:10.1142/S0218216510008510. S2CID 13993750.
- ^ Bar-Natan, Dror; Burgos-Soto, Hernando (February 2014). "The Khovanov homology for alternating tangles". Journal of Knot Theory and Its Ramifications. 23 (2): 1450013. arXiv:1003.4766. doi:10.1142/S0218216514500138. S2CID 119237571.
- ^ Minas, Adrian. "Hernando Burgos-Soto". Cuentos y Cuentos. Cuentos Y Cuentos. Retrieved 18 November 2015.
- ^ Burgos-Soto, Hernando. "Mathematics Genealogy Project". Mathematics Genealogy Project. Retrieved 18 November 2015.
- ^ Digital, Biblioteca. "Diagnostic Analysis in Generalized Linear Models" (PDF). REsument de Proyectos y tesis. Universidad Del Valle. Retrieved 18 November 2015.
- ^ Burgos-Soto, Hernando (2010). "The Jones Polynomial and the Planar algebra of alternating tangles". Journal of Knot Theory and Its Ramifications. 19 (11): 1487. arXiv:0807.2600. doi:10.1142/S0218216510008510. S2CID 13993750.
- ^ Burgos-Soto, Hernando (2010). "The Jones Polynomial and the planar algebra of alternating tangles". Journal of Knot Theory and Its Ramifications. 19 (11): 1503. arXiv:0807.2600. doi:10.1142/S0218216510008510. S2CID 13993750.