Motivated by the breakthrough result of Reis and Rothvoss [The Subspace Flatness Conjecture and Faster Integer Programming '23], I will give a small lecture on integer proramming. The talk will cover the framework of the recent algorithm, and, if time, the main ideas of the algorithm working for a fixed number of constraints [On Integer Programming, Discrepancy, and Convolution, Jansen and Rohwedder, '23]. The talk does not require any a priori knownledge on that topic.