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] 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] 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
[6] In 1992, Baeza and Roberto Aravire introduced a modification of Milnor's k-theory for quadratic forms over a field of characteristic two.
denotes the Witt group of quadratic forms over a field F, then one can construct a group
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.
, generated by n-fold bilinear Pfister forms, and of the groups
, generated by quadratic Pfister forms.