• Explorations in algebra and topology 

      Gal, Itamar; 0000-0003-0155-688X (2016-05)
      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 p-adic Bezoutians 

      Adduci, Silvia María (2010-05)
      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 L-functions 

      Hopkins, Kimberly Michele (2010-05)
      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 (2012-08)
      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 ...