Browsing by Author "Vaaler, Jeffrey"

Explorations in algebra and topology
Gal, Itamar; 000000030155688X (201605)Three independent investigations are expounded, two in the domain of algebra and one in the domain of topology. We first consider algebraic extensions generated by elements of bounded degree and consider the question of ... 
On real and padic Bezoutians
Adduci, Silvia María (201005)We study the quadratic form induced by the Bezoutian of two polynomials p and q, considering four problems. First, over R, in the separable case we count the number of configurations of real roots of p and q for which the ... 
Periods of modular forms and central values of Lfunctions
Hopkins, Kimberly Michele (201005)This thesis is comprised of three problems in number theory. The introduction is Chapter 1. The first problem is to partially generalize the main theorem of Gross, Kohnen and Zagier to higher weight modular forms. In ... 
The projective envelope of a cuspidal representation of a GL[subscript n](F[subscript q])
Paige, David Lee (201208)Let l be a prime and let q be a prime power not divisible by l. Put G=GI[subscript n](F[subscript q])and fix a representation pi of G over a sufficiently large finite field, k, of characteristic l, so that pi is cuspidal ...