Ricardo Baeza Rodríguez

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 materSaarland University
Academic work
DisciplineMathematics
Sub-disciplineNumber theory
InstitutionsUniversity of Talca

Career

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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

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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

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  • Baeza, Ricardo (2006). Quadratic Forms Over Semilocal Rings. Springer. ISBN 9783540358169.

References

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  1. ^ a b Member profile, Chilean Academy of Sciences, retrieved 2015-01-12.
  2. ^ 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.
  3. ^ Ricardo Baeza Rodríguez at the Mathematics Genealogy Project.
  4. ^ a b "Ricardo Baeza gana Premio Nacional de Ciencias Exactas", Nacion.cl, August 27, 2009.
  5. ^ List of Fellows of the American Mathematical Society, retrieved 2015-01-12.
  6. ^ 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.
  7. ^ 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.
  8. ^ 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.
  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.
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