E-mail: huizenga at psu dot edu

Office: 324 McAllister

CV (Updated 2/5/17): pdf

I am a co-organizer of the Algebra and Number Theory Seminar at Penn State.

Math 437, Algebraic Geometry, Fall 2016. (PSU)

Math 465, Number Theory, Spring 2016. (PSU)

Math 436, Linear Algebra, Fall 2015. (PSU)

Math 552, Algebraic Geometry I, Fall 2014. (UIC)

Math 320, Linear Algebra I, Fall 2012. (UIC)

Math 21a, Multivariable Calculus, Fall 2010. (Harvard)

Math 21a, Multivariable Calculus, Fall 2009. (Harvard)

Here are some exercises given for the 2013 minicourse on moduli spaces at VIASM.

Exercises on moduli spaces

Recent papers: "Brill-Noether theorems and globally generated vector bundles on Hirzebruch surfaces." Joint with Izzet Coskun. Preprint. pdf "Weak Brill-Noether for rational surfaces." Joint with Izzet Coskun. To appear in Contemp. Math. pdf "Negative curves on symmetric blowups of the projective plane, resurgences and Waldschmidt constants." Joint with Thomas Bauer, Sandra Di Rocco, Brian Harbourne, Alexandra Seceleanu, and Tomasz Szemberg. Preprint. pdf "Birational geometry of moduli spaces of sheaves and Bridgeland stability." Survey article for the 2015 Bootcamp in Algebraic Geometry at the University of Utah. To appear in Proceedings of Symposia in Pure Mathematics. pdf "The nef cone of the moduli space of sheaves and strong Bogomolov inequalities." Joint with Izzet Coskun. Preprint. pdf "Nef cones of Hilbert schemes of points on surfaces." Joint with B. Bolognese, Y. Lin, E. Riedl, B. Schmidt, M. Woolf, and X. Zhao. Algebra & Number Theory. (2016) pdf "Ulrich Schur bundles on flag varieties." Joint with Izzet Coskun, Laura Costa, Rosa Maria Miró-Roig and Matthew Woolf. Journal of Algebra. (2017) pdf "The ample cone of moduli spaces of sheaves on the plane." Joint with Izzet Coskun. Algebraic Geometry. (2016) pdf "The effective cone of the moduli space of sheaves on the plane." Joint with Izzet Coskun and Matthew Woolf. Journal of the European Mathematical Society. (2017) pdf "The birational geometry of the moduli spaces of sheaves on P

Undergraduate research: "Invariant metrics with nonnegative curvature on SO(4) and other Lie groups." Joint work with Kristopher Tapp, conducted at Williams College in 2006. Michigan Math Journal. (2007) pdf "The minimum size of complete caps in (Z/nZ)

Expository writings: "Steiner bundles and divisors on the Hilbert scheme of points in the plane." Poster presented at Joe Harris' 60th birthday conference. pdf "Interpolation on surfaces in P