Reading Material

Quand la concurrence — c'est-à-dire l'égoïsme — ne règnera plus dans les sciences, quand on s'associera pour étudier, au lieu d'envoyer aux académies des paquets cachetés, on s'empressera de publier ses moindres observations pour peu qu'elles soient nouvelles, et on ajoutera: «je ne sais pas le reste».

~ Évariste Galois

When the reign of competitivity, thus of vanity, in the sciences ends, when one cooperates for studying, rather than sending sealed packets to academies, one will be eager to publish the simplest observation, provided they are new, and one will add “I don’t know the rest”.

~ Translation by Robert Langlands

Original Work

1. Realizability of Branched Coverings of Surfaces by Edmonds, Kulkarni and Stong.

2. Regular Tessellations of Surfaces and (p, q, 2)-Triangle Groups by Edmonds, Ewing and Kulkarni.

3. An Arithmetic-Geometric Method in the Study of the Subgroups of the Modular Group by Ravi Kulkarni.

4. An Extension of a Theorem of Kurosh and Applications to Fuchsian Groups by Ravi Kulkarni.

5. Algebraic Curves Uniformized by Congruence Subgroups of Triangle Groups by Clark and Voight.

6. Fuchsian Triangle Groups, and Grothendieck Dessins. Variation on a Theme of Belyi by Cohen, Itzykson and Wolfart.

7. Belyi parametrisations of elliptic curves and congruence defects, Chandrashekhar Khare

8. Abelian Varieties over Q and Modular Forms, Kenneth A. Ribet

9. Stickelberger elements and modular parametrizations of elliptic curves, Glenn Stevens

10. Modular Parameterizations of Elliptic Curves. D. Zagier

Seminar Notes

If and when provided by the speakers.