The phrase "a medium with which" is correct and usable in written English.
It can be used when discussing a method or tool that facilitates a particular action or process.
Example: "Art serves as a medium with which we can express our deepest emotions and thoughts."
Alternatives: "a means by which" or "a tool for".
Apollo Cinema Piccadilly Circus, SW1, Fri to 11 Dec Phelim O'Neill Digital film-making is proving to be the great leveller, giving those previously excluded from the industry a medium with which to produce and distribute their tales cheaply and quickly.
It has provided not just life and food but a means of transport, a way of keeping clean, a mechanism for removing sewage, a home for fish and other animals, a medium with which to cook, in which to swim, on which to skate and sail, a thing of beauty to provide inspiration, to gaze upon and to enjoy.
Watercolour is a good starting point, as it's a medium with which we all grow up.
It turns out that by creating a Facebook group for your course you can provide a means for students to communicate and collaborate outside of the classroom in a medium with which they are very familiar.
The purpose of the website Imaginary Football History is to familiarize the readers with the history of Europe, while modern football represents just a medium with which we are trying to raise interest for history among football fans.
An artist like Marlon Griffith questions the fact that a contemporary Caribbean audience used to witnessing Carnival should not be able to also appreciate more challenging, more critical contemporary artistic production in a medium with which they are already familiarized.
It is written in cuneiform, the oldest known writing in the world, a non-alphabetic kind of writing that grew out of a simple system of pictographs into a flexible medium with which the Sumerian (unrelated to anything) and Babylonian (related to modern Hebrew and Arabic) languages could alike be recorded.
Certainly the Cash image of a big, tough, hard-drinking, deep-voiced philosophical cowboy comes across strongly, and it is easy to imagine how the much more ethereal Dylan would find this an appealing medium with which to put over his lyrics.
"These bodily expectations make ceramics an ideal medium with which to explore our tactile certainties of objects and the relationship between what is considered to be outside the body and what is believed to be inside".
(b) Measurement of RDCs generally requires dissolution into an ordering medium with which the domains may have differential interactions, and the electric potential of a charged alignment medium may perturb differently the different conformations of the biomolecule.
Graphic design is a particularly eloquent medium with which to explore design's influence on a nation.
