Biography:Ricardo Baeza Rodríguez
Ricardo Baeza Rodríguez | |
|---|---|
| Academic background | |
| Alma mater | Saarland University |
| Academic work | |
| Discipline | Mathematics |
| Sub-discipline | Number theory |
| Institutions | University of Talca |
Ricardo Baeza Rodríguez is a Chilean mathematician who works as a professor at the University of Talca.[1][2] He earned his Ph.D. in 1970 from Saarland University, under the joint supervision of Robert W. Berger and Manfred Knebusch.[2][3] His research interest is in number theory.[4]
Career
Baeza became a member of the Chilean Academy of Sciences in 1983.[1] He was the 2009 winner of the Chilean National Prize for Exact Sciences.[2][4] In 2012, he became one of the inaugural fellows of the American Mathematical Society, the only Chilean to be so honored.[2][5]
Research
In 1990, Baeza proved the norm theorem over characteristic two; it had been previously proved in other characteristics.[6] The theorem states that if q is a nonsingular quadratic form over a field F, and be a monic irreducible polynomial (with the corresponding field extension), then if and only if is hyperbolic.[6]
In 1992, Baeza and Roberto Aravire introduced a modification of Milnor's k-theory for quadratic forms over a field of characteristic two.[7] In particular, if denotes the Witt group of quadratic forms over a field F, then one can construct a group and an isomorphism for every value of n.[7]
In 2003, Baeza and Aravire studied quadratic forms and differential forms over certain function fields of an algebraic variety of characteristic two.[8] Using this result, they deduced the characteristic two analogue of Knebusch's degree conjecture.[8]
In 2007, Baeza and Arason found a group presentation of the groups , generated by n-fold bilinear Pfister forms, and of the groups , generated by quadratic Pfister forms.[9]
Publications
- Baeza, Ricardo (2006). Quadratic Forms Over Semilocal Rings. Springer. ISBN 9783540358169.
References
- ↑ 1.0 1.1 Member profile, Chilean Academy of Sciences, retrieved 2015-01-12.
- ↑ 2.0 2.1 2.2 2.3 Miembro de Excelencia: Ricardo Baeza será distinguido por la American Mathematical Society, University of Talca, November 16, 2012, http://www.utalca.cl/link.cgi/SalaPrensa/academia/5382, retrieved 2015-01-12.
- ↑ Ricardo Baeza Rodríguez at the Mathematics Genealogy Project.
- ↑ 4.0 4.1 Ricardo Baeza gana Premio Nacional de Ciencias Exactas, August 27, 2009, http://www.lanacion.cl/noticias/vida-y-estilo/ricardo-baeza-gana-premio-nacional-de-ciencias-exactas/2009-08-26/222335.html.
- ↑ List of Fellows of the American Mathematical Society , retrieved 2015-01-12.
- ↑ 6.0 6.1 Baeza, Ricardo (1990). "The norm theorem for quadratic forms over a field of characteristic 2" (in en). Communications in Algebra 18 (5): 1337–1348. doi:10.1080/00927879008823968. ISSN 0092-7872. http://www.tandfonline.com/doi/abs/10.1080/00927879008823968.
- ↑ 7.0 7.1 Aravire, Ricardo; Aravire, Roberto (1992). "Milnor'ory and quadratic forms over fields of characteristic two" (in en). Communications in Algebra 20 (4): 1087–1107. doi:10.1080/00927879208824393. ISSN 0092-7872. http://www.tandfonline.com/doi/abs/10.1080/00927879208824393.
- ↑ 8.0 8.1 Aravire, Roberto; Baeza, Ricardo (2003). "The behavior of quadratic and differential forms under function field extensions in characteristic two" (in en). Journal of Algebra 259 (2): 361–414. doi:10.1016/S0021-8693(02)00568-9. https://linkinghub.elsevier.com/retrieve/pii/S0021869302005689.
- ↑ Arason, Jón Kr.; Baeza, Ricardo (August 2007). "Relations in I n and I n W q in characteristic 2" (in en). Journal of Algebra 314 (2): 895–911. doi:10.1016/j.jalgebra.2007.05.004. https://linkinghub.elsevier.com/retrieve/pii/S0021869307002773.
External links
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