Through a critical genealogy
So using Foucault as a framework, trying to track the historical development and use of sets of ideas which come to have real-world effects.
that traces the colonial classificatory violence of binarity, its implementation into bureaucratic administrative violence of nation states
I'll assume you mean the European colonial period, whose agents were interested in classification (all colonists are) provided by the new biological sciences, specificially theories of species which led to theories of human races. OK so administrations use classification systems and you could find colonial administration systems which created new states, and classified people in them as white Europeans (top humans) and black or brown natives (other, lower humans) so the admin system was set up to treat the two categories differently in a 'racial' hierarchy.
and its automation in contemporary algorithmic violence,
OK you could find examples where colonial administrations were backed by force and large numbers of people were subject to threat and real-world violence in order to enforce the hierarchy, affecting e.g where people could live, what work they could do, what rights they had etc. You would then presumably be using this history of classification-in-action as a framework to analyse a new, original example. You don't say so but I'll assume that.
this thesis challenges the algorithmic relation to transness, the presumed technooptimist ‘objectivity’ of algorithms and the ways in which the algorithmic organises the necropolitical infrastructures of targeting, surveillance, and cisnormative violence that trans bodies live under.
Whoa nelly. OK so Foucault says modern states are ruled via surveillance by authority and self-policing rather than by direct force. So, transsexuals are policed / self-police (in which states?) under a similar system of administrative classification as the colonial subjects previously invoked? And the administrative classification system is assumed to be neutral, but isn't? And you'll be telling us the context of that system later, I expect. Also the specific contexts in which the system(s) you're talking about (not yet specified) use surveillance and classification to bring about deathly violence or an equivalent of genocide to transsexuals in a direct and legitimate comparison to historical violence perpetrated in colonial states?
This intervention
Not research and analysis?
posits that algorithms—as the computational set of instructions—
Are we talking about actual computer algorithms here or our old friend the automated administrative classification system?
constitute the channels through which the trans body is classified and translated as information, coded as data, marked-as-different and imbued with necropolitical violence that cannot valorise transness,
Can you give us a crumb of context here? Is this the Western medico-administrative system (Foucault was fond of talking about that)? Is this about the system coding / classifying people's bodies into healthy and unhealthy and enforcing real-world treatments or incarceration on the unhealthy ones?
which position transness against and in tension with the binary valorisation of life itself.
So classifying people into two biological sexes, so transsexual people can't live because men aren't women? So it's as good as violence / genocide / death camps?
This is great - have a studentship!