Title: Verifying ECC Software Abstract: In the first part of my talk I will give an introduction to secure and fast implementations of (elliptic-curve) cryptography. In particular I will focus on implementation techniques to eliminate side-channel attacks and accelerate finite-field arithmetic, which is the core building block for fast elliptic-curve cryptography. In the second part I will describe how correctness and timing-attack protection can be formally verified. I will describe this from the perspective of a cryptographic engineer rather than the perspective of a researcher in the area of formal methods. Bio: Peter Schwabe is an assistant professor at Radboud University Nijmegen. He graduated from RWTH Aachen University in computer science in 2006 and received a Ph.D. from the Faculty of Mathematics and Computer Science of Eindhoven University of Technology in 2011. He then worked as a postdoctoral researcher at the Institute for Information Science and the Research Center for Information Technology Innovation of Academia Sinica, Taiwan and at National Taiwan University. His research area is the optimization of cryptographic and cryptanalytic algorithms in software. The target architectures of this software range from high-end desktop and server CPUs through parallel architectures such as the Cell Broadband Engine and graphics processing units to embedded processors such as ARM and AVR. He has published more than 30 articles in journals and at international conferences on fast software for a variety of cryptographic and cryptanalytic algorithms.