The quantized enveloping algebra of a Kac-Moody algebra admits a canonical basis for its triangular parts. <br>
This basis has many nice properties, and in particular has helped motivate the categorification of many of <br>
these algebras. A fundamental tool in this process is to use the theory of quantized sl(2). Likewise, quantized <br> 
osp(1|2) forms a fundamental part of quantized Kac-Moody superalgebras. In this talk, I will discuss joint work <br>
with Weiqiang Wang on constructing a canonical basis for quantum osp(1|2) and its parallels to quantum sl(2). <br>
Afterwards, I will discuss how this construction will fit into a general framework for constructing canonical <br>
bases for Kac-Moody superalgebras.