Matthew B. Day
NSF Postdoctoral Fellow in the Department of Mathematics at the California Institute of Technology.
Office: Sloan 274
E-mail: mattday "at" caltech.edu
Caltech Geometry/Topology Seminar
Research
My research interests include mapping class groups, combinatorial and geometric group theory, and group actions on manifolds.
Research papers
1. On solvable subgroups of automorphism groups of right-angled Artin groups, 2009, submitted, pdf
2. Extensions of Johnson's and Morita's homomorphisms that map to finitely generated abelian groups, 2009, submitted, pdf
3. Extended flux maps on surfaces and the contracted Johnson homomorphism, 2008, submitted, pdf, ps
4. Peak reduction and finite presentations for automorphism groups of right-angled Artin groups, Geometry & Topology 13 (2009), 817-855. Preprint version: pdf, ps, published version.
5. Symplectic structures on right-angled Artin groups: between the mapping class group and the symplectic group, Geometry & Topology 13 (2009), 857-899. Preprint version: pdf, ps, published version.
6. Extending Johnson's and Morita's homomorphisms to the mapping class group, Alg. & Geom. Top. 7 (2007), 1297--1326.
Preprint version, published version.
Papers (4) and (5) in the above list contain the results of my 2008 Ph.D. thesis, done at the University of Chicago.
My Ph.D. advisor was Benson Farb.
Updated 11/9/2009