Mathematics Department

University of Pennsylvania

University of Pennsylvania

Office: DRL 4C11

Email : jhois *at* sas.upenn.edu

I am a fifth-year PhD student in the Mathematics Department at the University of Pennsylvania. My research is in differential and complex geometry and geometric analysis, and my advisor is Christopher Croke. The central results in my dissertation are an upper bound for the sum of the Betti numbers of a complex projective manifold in terms of its total curvature, an upper bound for the degree of a complex projective manifold as a variety in terms of its total curvature, and a characterization of the manifolds whose total curvature is minimal.

Deturck D , Elsaify A , Gluck H, Grossman B, Hoisington JA, Krishnan AM, Zhang J

Lim SS, Dandona L, Hoisington JA, James SL, Hogan MC, Gakidou E.

During the 2018 summer term, I am teaching Math 170, *Ideas in Mathematics*. This class has a website on Canvas, which you can access here. My office hours are Tuesdays from 12:30 to 1:30 and Wednesdays from 1:00 to 2:00.

I also taught Math 170 during the 2015 summer term.

During the Spring 2018 Semester, I was the grader for Math 601: Algebraic Topology with Prof. Gluck, and Math 350: Number Theory with Prof. Karemaker.

During the Fall 2017 Semester, I was the TA and grader for Math 600: Geometric Analysis and Topology with Prof. Ziller.

During the 2016-2017 academic year I did not teach, but I was a graduate fellow with the Center for Teaching and Learning. You can find information about upcoming CTL events here.

In previous semesters at Penn, I have been a TA for the following classes:

Math 240 Calculus III, with Prof. Panova, Spring 2016

Math 202 Proving Things: Analysis, with Prof. Grassi, Fall 2015

Math 241 Calculus IV, with Prof. Kazdan, Spring 2015

Math 240 Calculus III, with Prof. Shaneson, Fall 2014