Multi-Signatures: Universally Composable Interactive and Ordered Multi-Signatures.- Accountable Multi-Signatures with Constant Size Public Keys.- Privacy-Preserving Multi-Signatures: Generic Techniques and Constructions Without Pairings.- A Framework for Group Action-Based Multi-Signatures and Applications to LESS, MEDS, and ALTEQ. Protocols: Security Analysis of Signal's PQXDH Handshake.- Towards Leakage-Resilient Ratcheted Key Exchange.- Non-Interactive Key Exchange: New Notions, New Constructions, and Forward Security.- Effcient Verifiable Mixnets from Lattices, Revisited. Foundations of Lattices and LPN: Vanishing Short Integer Solution, Revisited: Reductions, Trapdoors, Homomorphic Signatures for Low-Degree Polynomials.- Discrete Gaussians Modulo Sub-Lattices: New Leftover Hash Lemmas for Discrete Gaussians.- Memory-Effcient BKW Algorithm for Solving the LWE Problem.- Worst and Average Case Hardness of Decoding via Smoothing Bounds.