Email: fontes.17 [at] osu dot edu
Office: MW 456
I am a Ross Assistant Professor in mathematics at The Ohio State University. Before landing in Ohio, I obtained my PhD from UT Austin in May 2017. My PhD advisor was Andrew Blumberg. I collaborate with Crichton Ogle, Niles Johnson, Nick Gurski, Christina Osborne, Aaron Royer, and Truls Raeder. I did my undergraduate work at Harvard in mathematics, where my senior thesis was advised by Michael Hopkins.
Most people call me Ernie but my undergraduate students tend to call me Dr. Ernie.
Outside of mathematics, I spend much of my time rock climbing, practicing yoga, baking sourdough bread, and cooking thin-crust pizzas.
My CV is available here and my research statement is available on request. The 2019–2020 academic year is the last year of my appointment at OSU. I am on the academic job market this fall. Please feel free to contact me directly if you think there are job opportunities I should be made aware of or if you'd like to invite me to talk.
I am an algebraic topologist and a homotopy theorist. My research focuses on algebraic K-theory and the complications that arise around it. I am interested in structural theorems: how does algebraic K-theory behave in the presence of other structures? I also explore computational results: where can we use trace methods to compute algebraic K-theory? These interests lead me to dabble in stable equivariant homotopy theory and the homotopy calculus of functors.
My broad research interest cover a variety of topics, including algebraic K-theory, topological Hochschild homology (THH), topological cyclic homology (TC), abstract homotopy theory, homotopy calculus of functors, equivariant (stable) homotopy theory, higher category theory, and computations in stable homotopy groups.
I enjoy teaching. At OSU, I have participated in the SEMINAL program to implement active learning techniques in large calculus classrooms (during Fall 2018 and again this semester). During graduate school, the UT Austin Mathematics Department recognized my teaching by awarding me with the Frank Gerth III Teaching Excellence Award in May 2014.
This semester, I am teaching Math 1152: Calculus II and Math 6801: Algebraic Topology I.
In my past semesters at OSU, I taught the following courses:
In graduate school at UT, I was fortunate to be supported frequently by the RTG in Topology and Geometry. During other semesters, my teaching comprised:
I am organizing no conferences currently.
In the past, I helped organize:
I organize the Homotopy Seminar with John Harper, Vidhyananth Rao, Niles Johnson, and Christina Osborne here at OSU. The seminar calendar for the 2018–2019 year is now located here. I also heckle homotopy theory graduate students every week at the Student Homotopy Seminar. The following is a list of talks I've given outside local seminars at OSU and in graduate school.
In Summer 2016, I ran a seminar for other graduate students on simplicial localization techniques. The website for that seminar is located here.
Aside from this website and e-mail communication, I maintain a ghostlike presence on social media. I am active, but private, on Instagram. I am not active on Twitter and I have deactivated my Facebook account indefinitely.
You might have stumbled on my website whilest looking for someone else. Perhaps you are seeking my sister, Lila or my father, Ernie.