The historical claims for Jesus Christ's resurrection are extraordinarily compelling. History, as a discipline, doesn't prove facts, but it weighs the probability of claims and theories against each other. Modern scholastics have been doing an increasingly good job placing the historical claims of Christianity in their 1st century jewish context, allowing for very compelling arguments regarding, for example, the criterion of embarrassment.

Despite what philosophers like Hume assert, miracles aren't something we can dismiss out of hand. If you view the miracle of the resurrection like any other historical claim, there are few arguments against it and many coherent arguments for it. From a historiographical perspective, the gospels should probably be taken just as seriously as any other biography in their genre (e.g., Agricola by Tacitus). Textual criticism heavily supports this conclusion.