Securely computing threshold variants of signature schemes (and more!)

Abstract

It is thanks to the love, support, and guidance of many people in my life that this work is possible.Thank you to my PhD advisor, abhi shelat, for the guidance through the years. I am incredibly fortunate to have been advised by a great researcher who cares so much for his students. I don't take for granted your support and advice.I would like to thank my thesis committee: Daniel Wichs, Jon Ullman, and Muthuramakrishnan Venkitasubramaniam. Thank you Jon and Daniel for creating such a nice atmosphere and group here. I'll miss running into you two at the coffee machine and talking about anything and everything. Muthu, it's such a treat to have you at the beginning and end of my PhD. Thank you for being part of this! A special thank you to Brent Waters, who introduced me to cryptography back when I was an undergraduate at UT Austin. Even after I graduated and left Texas, Brent has always been so nice to me.My time at Northeastern was way more fun than I ever expected, thanks in particular to my grad school besties Yash Kondi, Jack Doerner, Willy Quach, Ariel Hamlin, and Matthew Jagielski. PhD is stressful but having you all around made my time here such a joy. Plus, you guys are such good researchers! The bar was set high. I am forever grateful for your friendship and all you've taught me. I'm also pretty grateful to everyone at 6th floor ISEC who gave me food (Changming Liu and Giorgio Severi in particular were the most generous).Throughout these past years, I've had the fortune of meeting and working with so many amazing groups, from everyone who's passed through Northeastern