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SEMINARIO DEPARTAMENTAL COORDINADOR: DR. GUILLERMO B. MORALES LUNA. CONFERENCIA: On the MPC-in-the- Head Signature Schemes. CONFERENCISTA: Dr. Gora Adj, Criptography Research Center, Technology Innovation Institute, Abu Dhabi, UAE (Emiratos Árabes Unidos). Auditorio "Ing. Jorge Suárez Díaz" del Depto. de Ingeniería Eléctrica. Studio Master: Valente Espinosa, Lun. 16 de febrero de 2026, 12 Hrs. Videoproducción: José U. Cruz Cedillo, Depto. de Computación. Abstract: The presentation will explore an approach to building digital signatures that can resist attacks from quantum computers. The core idea, called MPC-in-the-Head (MPCitH), uses techniques from secure multiparty computation — where multiple parties jointly compute something without revealing their individual inputs — to create signature schemes. We will present a framework using Polynomial Interactive Oracle Proofs (PIOPs) that helps us understand and compare different MPCitH constructions more clearly. This unified view makes it easier to see the trade-offs between signature size, computational cost, and security. We discuss recent improvements to MPCitH signatures and their practical applications in preparing for a safe post-quantum world where most of current cryptographic systems will no longer be secure. Short Bio: Gora Adj is a Lead Cryptographer at the Cryptography Research Center at Technology Innovation Institute (TII) in Abu Dhabi, UAE, specializing in post-quantum cryptography and secure implementations. He holds a Ph.D. in Computer Science from Cinvestav, Mexico City, Mexico, under the supervision of Francisco Rodríguez Henríquez and Alfred Menezes. His research spans isogeny-based cryptography, MPC-in-the-Head signature schemes and side-channel resistant algorithms advancing both the theoretical foundations and practical implementations of cryptographic security.