Tom Weston Associate Professor Department of Mathematics and Statistics Lederle Graduate Research Tower University of Massachusetts Amherst, MA 01003-9305 (413) 545-6037 Curriculum vita

Lecturing at the 2001 Arizona Winter School.

Research interests: arithmetic geometry, special values of L-functions, Iwasawa theory, deformation theory of Galois representations.

I am a proud alum of the Ross program, where I worked from 1993 to 1996. I am a regular participant in the Five College Number Theory Seminar.

Research papers

• Mazur-Tate elements of non-ordinary modular forms (with Robert Pollack) (abstract ps pdf), To appear in Duke Mathematical Journal.
• Local torsion on elliptic curves and the deformation theory of Galois representations (with Chantal David) (abstract ps pdf), Mathematical Research Letters, 15 (2008), 599-611.
• On anticyclotomic μ-invariants of modular forms (with Robert Pollack) (abstract ps pdf)
• Power residues of Fourier coefficients of elliptic curves with complex multiplication (with ) (abstract ps pdf), International Journal of Number Theory 5 (2009), 109-124.
• Kida's formula and congruences (with Robert Pollack) (abstract ps pdf), Documenta Mathematica, Extra Volume: John H. Coates' Sixtieth Birthday (2006), 615-630.
• Iwasawa invariants of Galois deformations (abstract ps pdf), Manuscripta Mathematica 118 (2005), 161-180.
• Variation of Iwasawa invariants in Hida families (with Matthew Emerton and Robert Pollack) (abstract ps pdf), Inventiones Mathematicae 163 (2006), 523-580.
• Power residues of Fourier coefficients of modular forms (abstract ps pdf), Canadian Journal of Mathematics 57 (2005), 1102-1120.
• Explicit unobstructed primes for modular deformation problems of squarefree level (abstract ps pdf), Journal of Number Theory (special issue in honor of Arnold Ephraim Ross) 110 (2005), 199-218.
• Unbostructed modular deformation problems (abstract ps pdf), American Journal of Mathematics 126 (2004), 1237-1252..
• Kummer theory of abelian varieties and reduction of Mordell-Weil groups (abstract ps pdf), Acta Arithmetica 110 (2003), 77-88.
• Selmer groups and Chow groups of self-products of algebraic varieties (abstract ps pdf), International Mathematics Research Notices 2002, no. 39, 2063-2073.
• Geometric Euler systems for locally isotropic motives (abstract ps pdf), Compositio Mathematica 140 (2004), 317-332.
• Algebraic cycles, modular forms and Euler systems (abstract ps pdf), Journal fur die Reine und Angewandte Mathematik 543 (2002), 103-145.
• An overview of a theorem of Flach (abstract ps pdf), appendix to Deformations of Galois representations by Fernando Gouvêa, in Arithmetic algebraic geometry (Park City, UT 1999), IAS/Park City Mathematics Series 9, 2001.
• On Selmer groups of geometric Galois representations (abstract ps pdf), Ph.D. thesis, 2000.