Yusuf Mustopa RTG Assistant Professor, Department of Mathematics Office: 4827 East Hall Fall 2009 Hours: Tuesday and Thursday 12:00PM-1:00PM (in office), Friday 2:00PM-3:00PM (in MathLab), or by appointment E-mail: ymustopa@umich.edu

Teaching:
I am teaching Lecture 060 of MATH 215 (Calculus III) this semester (Fall 2009).
Please go to the course webpage for all information pertaining to the course (e.g. policies, exam schedule, homework, syllabus).

Research:
I work in algebraic geometry. My thesis (and my subsequent preprint) dealt with divisors on symmetric powers of smooth projective curves, and I am currently interested in questions involving:
• the correct formulation(s) of the Nagata Conjecture for higher-dimensional projective space
• finite generation of Cox rings on (possibly) irregular varieties
• positivity properties of higher-codimensional cycles

Papers:
• Residuation of Linear Series And The Effective Cone Of C_d, condensed and augmented version of thesis, to appear in American Journal of Mathematics
• Kernel Bundles, Syzygies Of Points, And The Effective Cone Of C_{g-2}, submitted, comments welcome