The talk overviews recent developments in Cryptology with a commentary about the future research directions. The seminar consists of four parts: private-key cryptography, public-key cryptography, multiparty computations and introduction to cryptanalysis (if time permits). The private-key cryptography covers history behind development of DES and cryptographic competitions that include AES, SHA-3 and CAESAR. The public-key cryptography starts from the Diffie-Hellman key agreement, ElGamal and RSA schemes. Bilinear pairing is introduced and its applications briefly discussed. We also define certificateless public-key and NTRU public-key schemes. This part is concluded by discussion on homomorphic encryption. Next we introduce MPC, its security models and solutions. The last part shows main analytical tools needed to evaluate security of cryptographic systems. This includes linear, differential, and algebraic cryptanalyses and cube attack. Referat zostanie wygłoszony w j. angielskim