Marco Streng's home page

Since 1 September 2010, I am a Research Fellow at the University of Warwick. My new webpage is www.warwick.ac.uk/~masjap and my old one is below. Note that the information below will not be updated and is mostly contained in my new web page anyway.

Thesis

I have defended my PhD thesis on June 1st 2010.

The thesis is available electronically: text, stellingen, cover, errata.

If you would like a paper copy, send me an email.

Preprints

• Computing Igusa Class Polynomials. The most recent preprint is Chapter II of my thesis (see above).
• Abelian surfaces admitting an (l,l)-endomorphism (with Reinier Bröker and Kristin Lauter, in preparation, talk notes available)
• A CM construction for curves of genus 2 with p-rank 1 (with Laura Hitt, Gary McGuire, Michael Naehrig), to be published by Journal of Number Theory. The most recent preprint is Chapter V of my thesis (see above).

Publications

• Divisibility sequences for elliptic curves with complex multiplication, Algebra & Number Theory, Vol. 2 (2008), No. 2, 183-208 (or download a slightly outdated preprint here)
• Abelian varieties with prescribed embedding degree, with David Freeman and Peter Stevenhagen, ANTS-VIII Banff 2008, Springer Lecture Notes in Computer Science 5011

Talks

• Abelian surfaces admitting an (l,l)-endomorphism (joint work with Reinier Bröker and Kristin Lauter, notes) at:
  
  • Intercity Number Theory Seminar, December 2009, Utrecht, the Netherlands
  • LFANT Seminar, November 2009, Bordeaux, France
  • Mini-workshop series on computational number theory, October 2009, KU Leuven, Belgium
  • Number Theory Lunch Seminar, September 2009, Max Planck-Institut für Mathematik, Bonn, Germany
• Igusa class polynomials at:
  
  • DIAMANT/EIDMA Symposium, November 2009, Lunteren, the Netherlands (slides)
  • Explicit Methods in Number Theory, July 2009, MFO Oberwolfach, Germany (slides)
  • University of Washington Number Theory and Computation Seminar, December 2008, Seattle, USA (slides)
  • GTEM Instructional Conference: Number Fields, Lattices and Curves, June 2008, Cetraro, Italy (slides)
  • Genus 2 day, Intercity Number Theory Seminar, April 2008, Utrecht, the Netherlands (slides)
  • the AMS Special Session on Low Genus Curves and Applications, Joint Mathematics Meetings, January 2008, San Diego, USA (slides)
• Abelian varieties with prescribed embedding degree (joint work with David Freeman and Peter Stevenhagen) at:
  
  • C4, June 2008, École Polytechnique, Palaiseau, France (slides)
  • ANTS-VIII, May 2008, Banff, Canada (slides)
• Elliptic Divisibility Sequences with Complex Multiplication at:
  
  • UC Irvine Number Theory Seminar, January 2008, Irvine, USA (slides)
  • Journées Arithmétiques, July 2007, Edinburgh, Scotland (slides)
  • Number Theory and Computability, June 2007, Edinburgh, Scotland (poster with my face on it)
  • DIAMANT/EIDMA Symposium, May/June 2007, Heeze, the Netherlands (slides)
  • Intercity Number Theory Seminar, April 2006, Utrecht, the Netherlands

Internship

During October--December of 2008, I was an intern at the Cryptography Group of Microsoft Research in Redmond, WA, USA.

Teaching

With Gabriele Dalla Torre, I supervised the Bachelor's thesis of Teus de Koning
Algebra 1 (spring 2010)
Algebra 2 (fall 2009)
Seminar on complex multiplication
Algebra 1 (spring 2009)
Elliptic curves (spring 2008)
Permutation groups (fall 2007)
Seminar on moduli spaces and modular forms (fall 2007).
Topics in Number Theory (spring 2007)
Algebra 1 (spring 2007)
Algebra 2 (fall 2006)

Master's thesis

Elliptic Divisibility Sequences with Complex Multiplication (PDF).
June 2nd 2006, supervised by Gunther Cornelissen.

Notes

notes of an introduction to complex multiplication of abelian varieties.
notes of a talk about abelian surfaces that admit an (l,l)-endomorphism.
notes of the LAPP-Top courses for VWO (high school) students about number theory and RSA: ''De wiskunde van geheimschriften'' (in Dutch).
notes on division polynomials with complex multiplication.
notes of a talk about Néron models of elliptic curves in ps and pdf.
notes of a talk about Kummer Theory.
notes on Hilbert's Tenth Problem over Q in ps and pdf.
kleine scriptie (in Dutch) about Eisenstein's proofs of the quadratic and quartic reciprocity laws using periodic functions.

Seminars

Seminar on Algebraic Surfaces
Seminar on complex multiplication
Intercity Number Theory Seminar
Seminar on rational points on curves over finite fields (spring 2008).
Peter Bruin and I organised a seminar on moduli spaces and modular forms (fall 2007).
I organised a seminar on pairings and elliptic curve cryptography on September 3, 2007.
Seminar on Néron models (spring 2007).
Seminars on class field theory (fall 2005, fall 2006).

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