Trevor Arnold

Dept. of Mathematics & Statistics

McMaster University

1280 Main Street West

Hamilton, ON L8S 4K1

E-Mail: N/A

- "Anticyclotomic main conjectures for CM modular forms" (.dvi file): J. reine angew. Math.
**606**(2007), 41–78. - "Complex multiplication and parity in Iwasawa theory" (.dvi file): J. Number Theory
**128**(2008), no. 9, 2634–2654. - "Hida families,
*p*-adic heights, and derivatives" (.dvi file): Ann. Inst. Fourier**60**(2010), no. 6, 2275–2299. - (with K. Koo) "Change of Selmer group for big Galois representations …" (.pdf file): Doc. Math
**16**(2011), 885–899. - "On the main conjecture for a self-dual Hida family" (.dvi file), preprint (submitted).

- A translation of Serre's Algebraic Geometry and Analytic Geometry (.dvi file).
- Some handwritten notes (.pdf file) on Grothendieck's reformulation and extension of GAGA (SGA 1 exp. XII).
- The basic theory (.pdf file) of CM elliptic curves (now with more detailed functional equation).
*L*-functions for CM abelian varieties (.dvi file).

- In Fall 2009, I taught Math 1B03 (Linear Algebra).

- In Summer 2010 I taught Math 2A03 (Multivariable Calculus).

- In Fall 2010 fall I taught Math 4E03 (Galois Theory).

- In Winter 2011 I taught Math 702 (Algebra II).
- In Fall 2012 I taught Math 1ZA3 (Calculus I) and Math 2Z03 (Engineering Mathematics III).
- In Winter 2012 I taught Math 1ZB3 (Calculus II) and Math 2ZZ3 (Engineering Mathematics IV).
- In Spring 2012 I taught Math 2Z03.
- In Summer 2012 I taught Math 2ZZ3/2A03 (crosslisted courses).