URL http://www.math.ku.dk/~verrill/CV.html

Helena A. Verrill

Curriculum Vitae

For further information, I can be contacted at
[email protected]

Papers and Preprints

Some of these may be downloaded from
http://www.math.ku.dk/~verrill/preprints.html

1. Root lattices and pencils of varieties
Kyoto Journal of Mathematics, Volume 36, Number 2, July 1996, 421-446.

2. The Arithmetic of a certain Calabi-Yau threefold
Proceedings of the CNTA Meeting 1997, Carleton University, Ottawa, Canada, CRM Proceedings and Lecture Notes, Volume 19, 1999, 333-340.

3. The L-series of some Calabi-Yau threefolds
to appear in the Journal of Number Theory.

4. Thompson series, and the mirror maps of pencils of K3 surfaces
with Noriko Yui, to appear in the Proceedings of the NATO ASI/CRM Summer School ``The Arithmetic and Geometry of Algebraic Cycles" Banff Alberta Canada 1998.

1. The mirror map of certain K3 surfaces and Thompson series
with N. Yui. A research monograph, in preparation, to appear in the AMS/IP Series on Advanced Mathematics and Physics Eds. S.-T. Yau.

2. Some congruences related to modular forms
Max-Planck-Institut für Mathematik preprint 1999 (26).

3. The L-series of rigid Calabi-Yau threefolds from fibre products of elliptic curves
in preparation.

4. Computing period lattices of newforms
with W. A. Stein, in preparation.

5. Picard-Fuchs equations of some families of elliptic curves.
Proceedings of the CRM workshop on Moonshine, Montreal June 1999.

6. Computing the image of modular Galois representations,
with I. Kiming, report, in preparation.

7. Twists of modular mod l representations with exceptional images,
with I. Kiming, preprint, in preparation.

Research Interests

arithmetic geometry, number theory,
algebraic geometry, modular forms,
Galois representations, monodromy

Education

Cambridge University, Cambridge, England.
Mathematics:

Ph.D. November 1994.

Thesis Supervisor: Dr. N. I. Shepherd-Barron.

Part III M. Sc. equivalent, distinction, June 1991.

B.A. first class, June 1990.

Employment

Post Doctoral positions held at:

94.12-96.5:	Kyoto University, Japan
96.5 -98.5:	Queen's University, Canada
98.5 -99.5:	Max Planck Institut fur Matematik, Germany
99.5 -00.5:	Copenhagen University, Denmark

Seminars

Some talks given in the last 6 months:

$\bullet$: The intermediate Jacobian of some Calabi-Yau threefolds, Research seminar at the Mentoring Program for Women in Mathematics, IAS, Princeton, May 1999.
$\bullet$: Some examples of Picard-Fuchs equations with solutions given in terms of modular forms, CRM workshop on Moonshine, University of Montreal, June 1999.
$\bullet$: Some congruences related to modular forms, Explicit methods in number theory, Oberwolfach, Germany, July 1999.
$\bullet$: Computing periods of modular forms, algebra seminar, University of Copenhagen, September 1999.
$\bullet$: Irrationality proofs using modular forms, algebra seminar, University of Copenhagen, November 1999.

Teaching

Queen's University, Kingston, Canada

$\bullet$

Instructor of the following courses:

Fall 1996 Calculus for first year engineers.

Spring 1997 Linear algebra for arts and science students.

Fall 1997 Hypergeometric functions and configuration spaces.

Winter 1997 Introduction to calculus.

$\bullet$

Teaching Assistant of the following courses:

Winter 1997 Calculus for first year engineers.

Winter 1997 Linear algebra for first year engineers.

Cambridge University, England

$\bullet$: Tutorials, 1991-1993. Supervision--teaching small groups of students,
for various second and third year undergraduate courses.

Last updated 99.10.24.

Copenhagen University

Mathematics Institute