# Eric Riedl

I am a third-year Research Assistant Professor at the University of
Illinois at Chicago. I have broad research interests, including Algebraic Geometry, Arithmetic Geometry, Combinatorics, and Computational Mathematics. I am
particularly interested in rational curves and the birational geometry of hypersurfaces. I am a student of Joe Harris. Here is my CV.

## Teaching

I am currently teaching Math 215. I taught Math 180 in Fall 2015 and Fall 2016, Math 554 in Spring 2016, Math 215 in Spring 2017, and Math 210 in Fall 2017.
## Algebraic Geometry Papers

**Riedl, Eric** and Yang, David, Applications of a grassmannian technique in hypersurfaces preprint

Coskun, Izzet and **Riedl, Eric**, Algebraic hyperbolicity of the very general quintic surface in P^3 arXiv:1804.04107

Beheshti, Roya and **Riedl, Eric**, Positivity results for spaces of rational curves. arXiv:1801.05834

**Riedl, Eric**, Planes and quadrics on low degree hypersurfaces. (in preparation)

Coskun, Izzet and **Riedl, Eric** Normal bundles of rational curves on complete intersections (accepted to Communications in Contemporary Mathematics), with
Macaulay2 calculations

**Riedl, Eric** and Woolf, Matthew Rational curves on complete intersections in positive characteristic (accepted to Journal of Algebra) arXiv:1609.05958

Coskun, Izzet and **Riedl, Eric** Normal bundles of rational curves in projective space Mathematische Zeitschrift (to appear). arXiv:1607.06149

**Riedl, Eric** and Yang, David Rational curves on general type hypersurfaces, arXiv:1605.01759

**Riedl, Eric** and Yang, David Kontsevich spaces of rational curves on Fano hypersurfaces, J. Reine Angew. Math. (to appear).

Barbara Bolognese, Jack Huizenga, Yinbang Lin, **Eric Riedl**, Benjamin Schmidt, Matthew Woolf and Xiaolei Zhao.
Nef cones of Hilbert schemes of points on surfaces, Algebra Number Theory **10** (2016), no. 4, 907--930.

Jesus De Loera, Susan Margulies, Michael Pernpeintner, **Eric Riedl**, David Rolnick, Gwen Spencer, Despina Stasi, Jon Swenson
Graph-coloring ideals: Nullstellensatz certificates, Gröbner bases for chordal graphs, and hardness of Gröbner bases
*Interntl. Symposium on Symbolic and Algebraic Computation* 2015

## Combinatorics Papers

Riedl, Eric. Largest
minimal percolating sets in hypercubes under 2-bootstrap
percolation. Electronic Journal of Combinatorics, Volume 17(1),
2010.

Riedl, Eric. Largest and
Smallest Minimal Percolating Sets in Trees. Electronic Journal of Combinatorics, Volume 19(1), 2012.

## Computer Science Papers

Riedl, John and **Riedl, Eric**. Crowd-sourcing medical research.
*IEEE Computer*. January 2013. 46(1) 0089-92

Hang Zhang, **Eric Riedl**, Valery A Petrushin, Siddharth Pal, Jacob Spoelstra.
Committee Based Prediction System for Recommendation: KDD Cup 2011, Track2. In:
*KDD Cup*, 2012.