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Over the past summer, I was again in Korea, this time at POSTECH in Pohang as co-organizer, with Ji-hun Park and David Hyeon of POSTECH and Yongnam Lee of Sogang, of a Workshop on BIrational Geometry and Moduli Spaces. The talks were excellent and we are hoping to organize a similar small conference next summer. I also attended conferences in honor of David Gieseker in Zhejiang University in Hangzhou, China and of Joe Harris at Harvard. This fall I will be in Berlin to give a lecture series on applications of GIT to birational geometry of moduli spaces of curves to the "Summer" School of the Algorithmic methods in algebra and number theory Schwerpunkt.
My current main project is editing, jointly with Gavril Farkas at Humboldt University, a Handbook of Moduli that I hope will appear in 2012. This will be a two volume survey of the field whose primary goal is to provide mathematicians who know the language of algebraic geometry with guides to the dialects of specific moduli problems, that will make the primary literature accessible to them. We have recruited a team of about 40 contributors; most of the papers have been submitted and are currently being refereed.
Last year, I completed the final sections of my text for MathForLife, an online one semester terminal course for undergraduates majoring in the humanities, social sciences and business. I am in the process of polishing and indexing the text and it should appear this fall with Projective Press. To learn more about this project and see a sample chapter, go to my MathForLife page. A current draft of the full text (warning this a 10Mb pdf file) is also available for downloading on the Projective Press website.
I will be continuing an ongoing research project with David Swinarski on applying symbolic computational methods to get infromation on moduli spaces of stable curves and stability of low degree Hilbert points of such curves. You can find a more discussion, and get our preprint, at my publications and research interests pages or find our paper at.
My coordinates page lists various ways of contacting me when I am in New York and my schedule page gives details of when and where I teach, hold office hours and serve on University committees.
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