About Me

Alexander Jon Stathis

Department of Mathematics, Statistics, and Computer Science

University of Illinois at Chicago

851 South Morgan Street

Chicago, Illinois 60607

I am a PhD candidate in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois, Chicago. I am studying algebraic geometry under İzzet Coşkun. My research interests include birational geometry, classical problems in geometry, and enumerative geometry. Specifically, I am interested in the geometry of moduli spaces. Currently I am working on enumerative problems related to the birational geometry of the Hilbert scheme of points in the projective plane.

I received bachelor's degrees in computer science and mathematics from the University of California, Santa Cruz in 2011.

Click here for my curriculum vitae.

I am an avid climber, and I love going on trips to climb different rocks. Keep up with those adventures on my Instagram or via my profiles on Mountain Project and Red River Climbing Online.

Research

I am interested in questions in algebraic geometry. Specifically, I am interested in questions related to the birational geometry of moduli spaces as well as classical and enumerative questions. Currently, the focus of my research is intersection theory on the Hilbert scheme of points in the projective plane. I am interested in combinatorial dsecriptions of the intersection product in the Chow ring similar to that of the Chow ring of the Grassmannian or Flag varieties.

- An Algorithm for Intersections on the Hilbert Scheme of Points in the Projective Plane
*(In Preparation)*- A Python3 implementation of the above algorithm.

News & Events

- None

- The UIC algebraic geometry seminar is held weekly on Wednesdays at 4pm in SEO 427. A list of the upcoming speakers can be found here.
- The UIC department colloquium is held weekly on Fridays at 3pm in SEO 636. The upcoming speakers can be found here.
- The graduate algebraic geometry seminar at UIC occurs weekly. Check Here for those talks.

Teaching

- N/A

- Math 180 - First Semester Calculus (Summer 2016)
- Math 180 - First Semester Calculus (Spring 2016)
- Math 210 - Third Semester Calculus (Fall 2014)
- Math 180 - First Semester Calculus (Spring 2014)
- Math 090 - Summer Enrichment Workshop: Intermediate Algebra (Summer 2013)
- Math 310 - Applied Linear Algebra (Spring 2013)
- Math 181 - Second Semester Calculus (Fall 2012)
- Math 330 - Abstract Algebra (Fall 2012)
- Math 090 - Summer Enrichment Workshop: Intermediate Algebra (Summer 2012)
- Math 180 - First Semester Calculus (Spring 2012)
- Math 090 - Intermediate Algebra (Fall 2011)