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]
Ricardo Baeza Rodríguez | |
|---|---|
| Academic background | |
| Alma mater | Saarland University |
| Academic work | |
| Discipline | Mathematics |
| Sub-discipline | Number theory |
| Institutions | University of Talca |
Career
editBaeza 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
editIn 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]
![{\displaystyle \pi (t)\in F[t]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ac4c15ace30a2f34c29ddfe66f14abc7b5b42811)
![{\displaystyle F(\pi ):=F[t]/\pi (t)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8bc4d2be9b440370d97448e8c9b3878eea7ea2eb)
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
edit- Baeza, Ricardo (2006). Quadratic Forms Over Semilocal Rings. Springer. ISBN 9783540358169.
References
edit- ^ a b Member profile, Chilean Academy of Sciences, retrieved 2015-01-12.
- ^ a b c d "Miembro de Excelencia: Ricardo Baeza será distinguido por la American Mathematical Society", Sala de Prensa, University of Talca, November 16, 2012, retrieved 2015-01-12.
- ^ Ricardo Baeza Rodríguez at the Mathematics Genealogy Project.
- ^ a b "Ricardo Baeza gana Premio Nacional de Ciencias Exactas", Nacion.cl, August 27, 2009.
- ^ List of Fellows of the American Mathematical Society, retrieved 2015-01-12.
- ^ a b Baeza, Ricardo (1990). "The norm theorem for quadratic forms over a field of characteristic 2". Communications in Algebra. 18 (5): 1337–1348. doi:10.1080/00927879008823968. ISSN 0092-7872.
- ^ a b Aravire, Ricardo; Aravire, Roberto (1992). "Milnor'ory and quadratic forms over fields of characteristic two". Communications in Algebra. 20 (4): 1087–1107. doi:10.1080/00927879208824393. ISSN 0092-7872.
- ^ a b Aravire, Roberto; Baeza, Ricardo (2003). "The behavior of quadratic and differential forms under function field extensions in characteristic two". Journal of Algebra. 259 (2): 361–414. doi:10.1016/S0021-8693(02)00568-9.
- ^ Arason, Jón Kr.; Baeza, Ricardo (August 2007). "Relations in I n and I n W q in characteristic 2". Journal of Algebra. 314 (2): 895–911. doi:10.1016/j.jalgebra.2007.05.004.
External links
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