Notes from talks

• TWIGS talk about modular forms. This was an introductory lecture for our graduate students about modular forms and their applications.
• Slides from a lecture on crytography I gave at the UMass 2004 Mathematics Contest Banquet. A brief introduction to the mathematics behind public-key cryptography
• A lecture to the 2004 BU PROMYS program about the ABC conjecture. This talk was for advanced high-school students, and discussed certain Diophantine equations and the analogy between integers and complex polynomials in one variable.
• Here are some tips for graduate students who think they might want to write a dissertation under Bob MacPherson. These were delivered as part of a roast at the banquet at his 60th birthday celebration conference, held at IAS in the fall of 2004.
• TWIGS talk about stratified spaces. This was an introductory lecture for our graduate students about stratified spaces, with some examples.
• A talk about Weyl group multiple Dirichlet series given at Maryland in Fall 2006. These series are Dirichlet series in several complex variables attached to a root system that have a group of functional equations that mix up all the variables.
• A talk about the cohomology of congruence subgroups of SL(4,Z) delivered at the RIMS conference Automorphic representations, automorphic L-functions and arithmetic held in Winter 2009.
• A talk about testing a modularity conjecture for elliptic curves over the field of fifth roots of unity, given at the 2009 Oberwolfach meeting Explicit methods in number theory.