Activities/Talks
Activities/Services:
- Algebra Seminar Group
- Spring Problem Session and
Fall Putnam
Seminar
Recent Talks:
- Oct,2007: The arithmetic of elliptic curves,
Hudson Colloquia, AASU
- Mar, 2008: Introduction to Arithmetic-Algebraic Geometry.,
Hudson Colloquia, AASU
- Nov, 2008: The Birch and Swinnerton Dyer Conjecture and
Quadratic Twists of an Elliptic Curve,
Hudson Colloquia, AASU
- Mar, 2009: Reflections on the Putnam Competition.,
Hudson Colloquia, AASU
- Apr, 2009: Maximizing the minimum mutual distance,
Hudson Colloquia, AASU
Talk(s) coming:
- Mathematics and Music,
Hudson Colloquia, AASU
Slides:
- Oct,2005:
Algebra/Geometry/Topology Seminar, Geogia Tech;
Quadratic Twists of Elliptic Curves:
Slide.
- Sep,Oct,2005: Hudson Colloquia/Research Seminar, AASU;
- Nov,2006: Hudson Colloquia, AASU;
The Equations That Couldn't Be Solved:
Slide.
- Apr,2007: Hudson Colloquia, AASU;
- Oct,2007: Hudson Colloquia, AASU;
The arithmetic of elliptic curves:
Slide.
- Mar,2008: Hudson Colloquia, AASU;
The intro to arithmetic algebraic geometry:
Slide.
- Nov,2008: Hudson Colloquia, AASU;
The Birch and Swinnerton Dyer Conjecture and Quadratic Twists of an Elliptic Curve:
Slide.
- Mar,2009: Hudson Colloquia, AASU;
Reflections on the Putnam Competition:
Slide.
- Apr,2009: Hudson Colloquia, AASU;
Maximizing the minimum mutual distance:
Slide.
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Research/Teaching
Teaching in Summer 2009: None
Research with a student in Summer 2009:
The classic packing problem
Publications
Article Reviews
- N. Bruin:
The arithmetic of Prym varieties in genus 3, Compos. Math. 144, No. 2, 317-338 (2008).
- D. Poulakis:
On the rational points of the curve
f(X,Y)q=h(X) g(X,Y), Can. Math. Bull. 52, No. 1, 117-126 (2009).
Projects:
- Verification of Birch and Swinnerton-Dyer Conjecture for quadratic twists of elliptic curves.
- Generalization of my thesis: twists on cyclic covering of curves of positive genus.
- Quadratic reciprocity on Galois conjugates
- Finding a curve over the rationals with arbitrarily large genus with MW rank 0
Things to read:
Expository Articles
Guestbook
for my students
Guestbook for visitors
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