There are many Englishes in the world, but two common varieties used as a lingua franca in academic contexts are
British English (UK) or American English (US). There are some differences in vocabulary in the two varieties
(for example, lift (UK) and elevator (US)) but in terms of grammar, the difference is slight.
There are, however, some differences in terms of spelling.

The thing to remember in your own writing is that you are consistent in the choice of variety. Here are some instances where the spelling differs between the two varieties.

US spelling UK spelling

archeology archaeology

analyze analyse

behavior behaviour

catalog catalogue

categorize categorize or categorise

center centre

color colour

dialog dialogue

empathize empathize or empathise

favorite favourite

liter litre

modeling modelling

organize organize or organise

realize realize or realise

sulfur, sulfate sulphur, sulphate

traveling travelling

If you are uncertain, consult a dictionary. The most important thing is to be consistent with the choice you have made.