"I will thus" is correct and can be used in written English.
You can use it to introduce a conclusion or a final statement. For example: "I have discussed the various benefits of the new health plan. I will thus recommend that the company implements it immediately."
I will thus send an email to Simon Mort stating I will be there as I don't want to upset people at CCHQ.
I will thus turn first to Plessner's methodological approach of the "Levels" and then move on to his theory of the Shared World.
I will thus focus on the main findings of this well-conducted study by Marte Helene Bjørk et al., and will conclude with some reactions to and reflections on our recent papers [2 6], which are, I feel, more closely related to the article commented on here than might appear at first glance.
I will thus briefly discuss those as a final example.
I will thus focus primarily on the consequences of sensing errors that lead to underestimates of nutrient concentrations.
In the following pages, I will thus try to present and summarize the various advantages which can be found to inbreeding.
As my sign of respect, I'll thus use singular "they" here as Alexis's pronoun.
Oxidative addition is a key step in cross-coupling, and Au(i) will be thus unable to replace Pd(0) in most of these reactions.
The monarch's explicit "I will" is thus needed to close this recognitive circle, lest legislation look like a mechanical compromise resulting from a clash of contingent interests, and so as actively willed by nobody.
I will it, thus: I am a writer".
As a result, a User i with (f_{i}) friends will thus have on average (f_{i} k_{alpha}/U) friends that have collected the item.
