David Mandell Freeman CWI Science Park 123 1098 XG Amsterdam Netherlands

Email: freeman@cwi.nl Office: M237 Phone: (+31) (0)20.592.4054

I am a postdoctoral fellow at CWI, Amsterdam and Universiteit Leiden under the supervision of Ronald Cramer. I am supported by a National Science Foundation International Research Fellowship, with additional support from the Office of Multidisciplinary Activities in the NSF Directorate for Mathematical and Physical Sciences.

Current Research

I am interested in number theory and arithmetic geometry with applications to cryptography. Specific interests include elliptic and hyperelliptic curve cryptography, pairing-based systems, and multi-party computation.

Amongst my current research projects are:

• Signatures for network coding. (Slides from a recent talk.)
• Constructing pairing-friendly abelian varieties.
• Public-key cryptosystems based on pairings.
• "Alternative" pairings in cryptography.

I received my Ph.D. in Mathematics from the University of California, Berkeley. My dissertation is now available. My Ph.D. advisors were Ken Ribet (UC Berkeley) and Ed Schaefer (Santa Clara University).

From June to November 2008 I was a postdoctoral scholar in the Applied Cryptography Group at Stanford University, under the supervision of Dan Boneh. I will be returning to Stanford in January 2010. My research at Stanford is supported by a National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship.

Here are my curriculum vitae and travel schedule.

Publications, Presentations, and Preprints

Papers Published or Submitted

• On the security of pairing-friendly abelian varieties over non-prime fields (with N. Benger and M. Charlemagne). To appear in Pairing 2009 (Palo Alto, CA, August 2009).
• Signing a subspace: Signatures for network coding (with D. Boneh, J. Katz, and B. Waters). In Public Key Cryptography --- PKC 2009 (Irvine, CA, March 2009), Springer LNCS 5443 (2009), 68-87.
• A generalized Brezing-Weng method for constructing pairing-friendly ordinary abelian varieties. In Pairing-Based Cryptography -- Pairing 2008 (Egham, United Kingdom, September 2008), Springer LNCS 5209 (2008), 146-163. Additional examples.
• Abelian varieties with prescribed embedding degree (with P. Stevenhagen and M. Streng). In Algorithmic Number Theory Symposium -- ANTS-VIII (Banff, Canada, May 2008), Springer LNCS 5011 (2008), 60-73.
• Constructing pairing-friendly genus 2 curves with ordinary Jacobians. In Pairing-Based Cryptography -- Pairing 2007 (Tokyo, Japan, July 2007), Springer LNCS 4575, (2007), 152-176.
• Computing endomorphism rings of Jacobians of genus 2 curves over finite fields (with K. Lauter). Symposium on Algebraic Geometry and its Applications (Papeete, Tahiti, May 2007), World Scientific, 2008, 29-66.
• A taxonomy of pairing-friendly elliptic curves (with M. Scott and E. Teske). To appear in Journal of Cryptology.
• Constructing pairing-friendly elliptic curves with embedding degree 10. Algorithmic Number Theory Symposium -- ANTS-VII (Berlin, Germany, July 2006), Springer LNCS 4076 (2006), 452-465.
• The isoperimetric problem on singular surfaces (with A. Cotton, A. Gnepp, T. Ng, J. Spivack, C. Yoder).   Journal of the Australian Mathematical Society 78:2 (April 2005) 167-199.
• The double bubble problem in spherical and hyperbolic space (with A. Cotton).   International Journal of Mathematics and Mathematical Sciences 32:11 (15 Dec 2002), 641-699.

Conference Presentations

• Signing a linear subspace: Signatures for Network Coding. IPAM Securing Cyberspace Reunion Conference, Lake Arrowhead, CA, June 2009.
• Constructing abelian varieties for pairing-based cryptography. Invited talk at Workshop on Pairings in Arithmetic Geometry and Cryptography, Essen, Germany, May 2009.
• A generalized Brezing-Weng method for constructing pairing-friendly ordinary abelian varieties. Pairing 2008, Egham, United Kingdom, September 2008.
• Constructing abelian varieties for pairing-based cryptography. Invited talk at Computational Number Theory Workshop, Foundations of Computational Mathematics 2008, Hong Kong, June 2008.
• Implementing the genus 2 CM method. Invited talk at AMS Special Session on Low Genus Curves and Applications, AMS-MAA Joint Mathematics Meetings, San Diego, CA, January 2008.
• Constructing pairing-friendly genus 2 curves with ordinary Jacobians. Paring 2007, Tokyo, Japan, July 2007.
• Constructing Pairing-Friendly Elliptic Curves for Cryptography (Part 1, Part 2). Invited talk at the 2nd KIAS-KMS Summer Workshop on Cryptography, Seoul, Korea, June 2007.
• Methods for constructing pairing-friendly elliptic curves. Invited talk at the 10th Workshop on Elliptic Curves in Cryptography (ECC 2006), Toronto, Canada, September 2006.
• Constructing pairing-friendly elliptic curves with embedding degree 10. ANTS-VII, Berlin, Germany, July 2006.

Other Papers

• Constructing abelian varieties for pairing-based cryptography. Ph.D. Dissertation, University of California, Berkeley, May 2008.
• Pairing-based identification schemes. Hewlett-Packard Laboratories technical report HPL-2005-154, August 2005.
• Fast arithmetic and pairing evaluation on genus 2 curves. Preprint, March 2005.
• Applications of modular forms. Cambridge University Part III Essay, May 2003.

Courses and Teaching (at Berkeley)

In Fall 2007 I was a Graduate Student Instructor for Math 16a, taught by Jack Wagoner. Section web page.
In Fall 2005 I was a Graduate Student Instructor for Math 1a, taught by Vaughan Jones. Section web page.

I took (and passed) my qualifying exam on May 12, 2005. Here is my syllabus. In theory I know everything on it.

J'ai réussi à l'examen français du département des maths en 2003. Ich habe die Deutsche Prüfung der mathematischen Abteilung in 2006 bestanden.

Other activities

• UC Berkeley University Chorus.
• University of California Alumni Chorus.
• Studentenkoor Amsterdam.
• Cal Cycling.
• Harvard Radio Broadcasting (WHRB).
• See what I'm doing in my spare time.
• Fact Tree Enterprises web sites:
  • ClassicalCDGuide.com: This site recommends classical music CDs, with lists of the Top 10 CDs and Top 20 CDs, and recommendations by composer, era, and genre. The site is very extensive, and the reviews are extremely detailed. Great for a beginner or someone looking to expand his or her collection!
  • SailingCourseGuide.com: This guide provides general advice for anyone in the U.S. who wants to sign up for a sailing course, including tips on how to choose between schools and warning signs of problematic programs.
  • SpainAdventure.com: This site guides prospective study abroad students through the wonderful possibilities of studying Spanish in Spain and provides tips on choosing a destination, finding a school, and having a good time.