# Juliana Belding (pre-2009 website)

Back to my current site
I completed my PhD in
Mathematics in Spring 2008 at
University of Maryland , College Park,
working with Professor Larry Washington on number theoretic
algorithms for elliptic curves.

I am currently a preceptor in Mathematics at Harvard University.
## Publications and Preprints

A copy of my thesis is soon to come!

A Weil pairing on the p-torsion of ordinary elliptic cu\
rves over $K[\epsilon]$ (PDF)

In Journal of Number Theory, Spring 2008.

Computing Hilbert Class Polynomials (PDF)

With R. Broker, A. Enge, K. Lauter. In the Proceedings of ANTS VIII.

The Discrete Logarithm Problem on the p-torsion subgroup of elli\
ptic curves (PDF)

Scholarly Paper for Master's Degree

Curves, Cryptography and Primes of the Form x^2 + Dy^2 (P\
DF)

Expository paper for UMd Spotlight on Graduate Research Competition (the related talk is\
below).

## Talks

Talk given at Math Table at Harvard University, February 2008

Curves, Cryptography and Primes of the Form x^2 + Dy^2 (PDF)\

Talk given at Richard Stockton College of New Jersey, September 2007

Curves and Cryptography (PDF)

Here is the accompanying handout, including solutions.
Curves and Cryptography Handout (PDF)

Talk given at UMd Graduation Conference, April 2007

Curves, Cryptography and Primes of the Form x^2 + Dy^2 (PDF)

## Teaching

Spring 2008

EDCI 788: Researching Mathematics as Math Educators
Course Description (Word Doc)

Summer 2007

MATH 212: Elements of Number and Operations
Course Webpage

Spring/Fall 2006

I was advisor to the UMd Undergraduate Math Club.

## Job Application Materials

CV (PDF)

Goals and Philosophies for Teaching Mathematics (PDF)\

Statement of Research Interests (PDF)

Teaching Portfolio (PDF)

The goal of the portfolio is to give an overview of my teaching experience and some in-d\
epth highlights from those experiences. The appendix includes a syllabus, samples of act\
ivities and materials, and some qualitative student feedback.