Welcome! I am an American Academy of University Women (AAUW) American
Fellow and Postdoctoral Fellow at the University of Chicago, with Benson Farb as my mentor. As a native Chicagoan, it is exciting to be doing math at home.
Research:
My main area of study is in hyperbolic 3-manifolds and low-dimensional
topology, whilst always trying to learn more geometric group theory as
I go along (groups acting on spaces---what's not to love). Co-advising
various undergraduate research projects in phylogenetics and discrete
Morse theory have also proved wonderful experiences in applying
topological ideas to new settings.
Click here for my research page. My CV can be viewed as a pdf here.
Teaching and Service to the mathematical community:
One of my former Calculus students at UIUC coined my math aphorisms "Guz Clues" (I do enjoy a good math pun, and he was promised that this moniker would find perpetuity here).
I share in Federico Ardila's axioms:
Axiom 1:
Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Axiom 2:
Everyone can have joyful, meaningful, and empowering mathematical experiences.
Axiom 3:
Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Axiom 4:
Every student deserves to be treated with dignity and respect.
"Many people who have never had occasion to learn what mathematics is confuse it with arithmetic and consider it a dry and arid science. In actual fact it is the science which demands the utmost imagination. One of the foremost mathematicians of our century says very justly that it is impossible to be a mathematician without also being a poet in spirit... It seems to me that the poet must see what others do not see, must see more deeply than other people. And the mathematician must do the same."
--Sofya Kovalevskaya, 1890