  We show that the number of non-isotopic commutative semifields of odd order
$p^{n}$ is exponential in $n$ when $n = 4t$ and $t$ is not a power of $2$. We
introduce a new family of commutative semifields and a method for proving
isotopy results on commutative semifields that we use to deduce the
aforementioned bound. The previous best bound on the number of non-isotopic
commutative semifields of odd order was quadratic in $n$ and given by Zhou and
Pott [Adv. Math. 234 (2013)]. Similar bounds in the case of even order were
given in Kantor [J. Algebra 270 (2003)] and Kantor and Williams [Trans. Amer.
Math. Soc. 356 (2004)].

Combinatorics;Commutative Algebra