Juliana V. Belding Department of Mathematics The University of Maryland College Park, MD

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1 Juliana V. Belding Department of Mathematics The University of Maryland College Park, MD jbelding EDUCATION Ph.D. in Mathematics, May 2008 (expected) University of Maryland College Park, College Park, MD Thesis: Number theoretic algorithms for elliptic curves with cryptographic applications Advisor: Dr. Lawrence Washington MA in Mathematics, May 2007 University of Maryland College Park, College Park, MD Scholarly Paper: The Discrete Logarithm Problem on the p-torsion subgroup of elliptic curves Advisor: Dr. Lawrence Washington BA in Mathematics, Summa Cum Laude, May 2001 Bryn Mawr College, Bryn Mawr, PA Honors in Math, Minor in French. Thesis: Computing fundamental units in quartic fields with two real and two complex embeddings Advisor: Dr. Helen Grundman RESEARCH EXPERIENCE Research Intern, Summer 2007 Google, Inc., New York, NY Designed and implemented C++ code to find and replace patterns in large-scale graphs. Undergraduate Researcher, Summer 2000 REU, Mount Holyoke College, South Hadley, MA Member of team-effort to find an algebraic structure related to coding theory.

2 TEACHING EXPERIENCE Instructor/Teaching Assistant Fall 2004-Spring 2005, Summer 2007 University of Maryland, College Park, MD -Instructor for Elements of Numbers and Operations for elementary education majors -TA for Multivariable Calculus -TA for Calculus I for math and engineering majors -TA for Calculus I for social science and biology majors Fellow, Center for the Scholarship of School Mathematics, Education Development Center, Inc., Newton, MA -Participant in one-week seminar for math and education faculty to develop graduate course in mathematics education structured around active mathematical exploration of topics related to the K-12 curricula. -Co-teaching the course Researching Mathematics as Math Educators, UMd, Spring Undergraduate Math Club Advisor, Spring Fall 2006 University of Maryland, College Park, MD -Helped organize social/academic events including speakers, panels, Pi Day. -Initiated Math Moments, a weekly presentation by students on a math topic of personal interest. Mathematics Teacher, Solebury School, New Hope, PA -Taught Pre-Algebra, Algebra and Data Analysis to 7-12 graders. -Advised school literary magazine, acted as assistant soccer coach. Teaching Fellow, 2001 Mathematics Department, Bryn Mawr College -Led problem sessions, graded homework and quizzes for transitional proof-writing course for majors. -Co-wrote supplemental text on beginning topics in algebra, analysis and topology. Tutor/Grader , Mathematics Department, Bryn Mawr College -Tutored/graded for Real Analysis, Complex Analysis and Elementary Number Theory.

3 TALKS and PRESENTATIONS A Weil pairing on Elliptic Curves over the Dual Numbers December 2007 Mathematics Colloquium Bryn Mawr College, PA Curves and Cryptography September 2007 Undergraduate and Faculty Mathematics Seminar Richard Stockton College of New Jersey Curves, Cryptography and Primes of the form x 2 + Dy 2 May 2007 University of Maryland Math Department Graduation Conference University of Maryland Cryptography Seminar, Fall 2004-Spring 2007 Presented six talks on current research papers in cryptography. PUBLICATIONS and PREPRINTS Computing Hilbert class polynomials, with R. Bröker, A. Enge, K. Lauter Submitted ANTS VIII, November Pre-print available at jbelding A Weil pairing on the p-torsion of elliptic curves over K[ɛ] Accepted in Journal of Number Theory. Pre-print available at arxiv.org (arxiv:math/ ) and on website. Number Systems in Mathematics: Its Not Just Calculus! Expository text for beginning undergraduate math majors. To be published by A&K Peters, Ltd., anticipated release 2008.

4 CONFERENCES ATTENDED 10th Annual Workshop on Elliptic Curve Cryptography, September 2006 Fields Institute, Toronto, CA Elliptic and Hyperelliptic Curve Cryptography Summer School, 2006 Fields Institute, Toronto, CA Participant in week-long course on curve cryptography with partial support from the Fields Institute. EDGE Program for Women In Mathematics, Summer 2003 Pomona College, Claremont, CA Participant in month-long academic preparation for graduate school. Mentoring Program For Women In Mathematics, May 1999 Institute for Advanced Study, Princeton, New Jersey Participant in undergraduate program on Algebraic Codes and Curves. HONORS and AWARDS Seymour Goldberg Prize for Written Exposition Spotlight on Graduate Research Competition University of Maryland Math Department, Spring 2007 Paper: Curves, Cryptography and Primes of the form x 2 + Dy 2 Excellence in Teaching Award, 3rd Place University of Maryland Math Department, Fall 2004 Dorothy N. Marshall Fellow in Research and Teaching Bryn Mawr College, Charles S. Hinchman Scholar Award for Excellence in Major Bryn Mawr College, 2000

5 ACTIVITIES and SERVICE Co-Organizer, UMd Math Dept Graduation Conference, Spring Co-Organizer/Judge, Spotlight on Graduate Research, Fall 2004, Organizer/Moderator, Panel on applying to graduate school for UMd math majors, Fall Volunteer Math Tutor, UMD African American Studies Freedom School, Spring 2005 Organizer, Weekly graduate student teas, Fall 2004-Spring 2006 LANGUAGES French, C++, MAGMA

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