Department of Mathematics, UC Davis
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Brian Osserman

Home page: http://www.math.ucdavis.edu/~osserman/
Position: Assistant Professor
Year joining UC Davis: 2007
Degree: Ph.D., 2004, MIT
Refereed publications: Via Math Reviews
Recent publications: Via math arXiv


Research

Brian Osserman’s research covers a range of topics within algebraic geometry, including enumerative geometry, positive-characteristic geometry, moduli spaces and stacks, and degeneration and deformation techniques. Algebraic curves are a frequently recurring theme, with much of my work focusing on maps of curves and vector bundles on curves.

Selected Publications

[1] F. Liu and B. Osserman. " The irreducibility of certain pure-cycle Hurwitz spaces," American Journal of Mathematics, to appear, matharXiv0609.5118.

[2] B. Osserman. " Linear series and the existence of branched covers," Compositio Mathematica, 144(1): 89-106, 2008, matharXiv0507.5096.

[3] B. Osserman. " A Limit Linear Series Moduli Scheme, " Annales de l’Institute Fourier, 56(4): 1165-1205, 2006, matharXiv0407.5496.

[4] B. Osserman. " The Generalized Verschiebung for Curves of Genus 2, " Mathematische Annalen, 336(4): 963-986, 2006, matharXiv0410.5613.

[5] B. Osserman. " Rational Functions with Given Ramification in Characteristic p, " Compositio Mathematica, 142(6):433-450, 2005, MathSciNet2218904.

Honors and Awards

  • NSF Postdoctoral Fellowship, 2004-2007
  • Clay Liftoff Fellowship, 2004
  • JSPS Postdoctoral Fellowship, 2004
  • NSF Graduate Fellowship, 1999-2002

Last updated: 2008/02/13


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