I am currently
an Acting Assistant Professor at the
University of Washington's
Department of Mathematics.
Before coming to the UW, I was a Riemann Fellow at the
Leibniz Universität Hannover.
I obtained my PhD at IMPA, and have
also spent time at the mathematics departments of the
University of Cambridge
You can find my CV
I am an algebraic geometer. My current interests include rationality
questions, the minimal model program program, singularity theory
(of varieties and of maps, also in positive characteristics), and
moduli spaces of curves and higher dimensional varieties.
- Irrational complete intersections (Preprint)
Abstract: Kollár's method for proving the irrationality of
hypersurfaces extends to more general complete
intersections. A complete intersection of $r$ very general
hypersurfaces of degrees $d_1,\dotsc,d_r$ in complex
projective $N$-space is not ruled, and therefore not
rational, provided that
$\sum d_i\ge \tfrac 3 4 N + 2r+1.$
Branched Covers of Cones and Kodaira Dimension
Abstract: In this note I compute for branched covers of cones
(1) the Iitaka dimensions of their canonical divisors and (2)
their Kodaira dimensions. These calculations show that among
such covers there are examples in all dimensions of varieties
with at most isolated quotient singularities for which the
quantities (1) and (2) are distinct.
UW, Spring 2018 -
MATH 324 C Advanced Multivariable Calculus
UW, Winter 2018 -
MATH 324 B Advanced Multivariable Calculus
UW, Fall 2017 -
MATH 308 EF Matrix Algebra with Applications
UNIRIO, Ago-Dez 2016 - Álgebra Linear 2 (in Portuguese)
lvhb 'at' uw.edu
MW, from 4:30 to 6:00pm.
University of Washington
Department of Mathematics
Seattle, WA 98195-4350