Research
I am primarily interested in algebraic geometry and algebraic combinatorics.
For example, here are
some
gln
word
crystals. I would love to
talk to you about: GL_n representation theory and Schubert calculus,
flags and
Grassmannians, Hilbert schemes and related moduli problems (such as
moduli of curves), homological
algebra, and other "concrete" algebraic geometry. I also have a soft
spot for (geometrically-motivated) commutative
algebra. In 2009, I worked in the commutative algebra group at SMALL with Susan Loepp, studying completions of certain (strange) local rings. Basically, we constructed a class of weird singularities, which we studied analytically-locally. Papers
n-Level Densities of Low-Lying Zeros of Quadratic Dirichlet
L-functions, Jake Levinson and Steven J. Miller, Acta Arithmetica
161 (2013), pp145-182. Semi-Local Formal Fibers of Minimal Prime Ideals of Excellent
Reduced Local Rings, N. Arnosti, R. Karpman, C. Leverson, J.
Levinson, S. Loepp, Journal of Commutative Algebra, Vol. 4, No.
1, 2012. Teaching
Talks and Presentations
Schedule:Click here for my schedule.Personal:I graduated from Williams College with a BA in mathematics, and spent Fall 2009 in Hungary at the Budapest Semesters in Mathematics program, which I highly recommend. If you're a Williams student thinking about applying to math grad schools, feel free to get in touch! I can't guarantee to be helpful, but I can guarantee to be more helpful than either of these guys.I am Canadian. More specifically, I am from Montreal, Quebec. I love bagels and occasionally poutine, et je parle français (mais je suis anglophone / English is my mother tongue). Undergrad Thesis:Download my undergraduate thesis (and accompanying Mathematica
notebooks): downloads page Qual Solutions:I wrote up my solutions to the May 2012 Analysis QR Exam, since there are currently no solutions to any analysis quals... that made it hard to study! Download here. |