Contact information:
Office: Science Center 421g
email: DennisCTseng@gmail.com
I work in algebraic geometry. Feel free to contact me if you want to talk. I will be graduating this year and starting a postdoc in the fall. For short summaries of my projects, click here.
Research:
Preprints and work in progress:
(with Anand Patel and Eric Riedl) Moduli of linear slices of high degree hypersurfaces (arXiv, 22 pages) (Preprint)
(with Andrew Berget and Hunter Spink) Log-concavity of matroid h-vectors and mixed Eulerian numbers (arXiv, 29 pages) (Preprint)
Submitted work:
Divisors on the moduli space of curves from divisorial conditions on hypersurfaces (arXiv, 15 pages) (Submitted, 2020)
(with Borys Kadets, Padmavathi Srinivasan, Ashvin Swaminathan, and Libby Taylor) Enriched local indices for non-rational sections, an appendix to an article by Padmavathi Srinivasan and Kirsten Wickelgren (arXiv, 2 pages) (submitted, 2019)
A note on r hypersurfaces intersecting in P^{r} (arXiv, 6 pages) (Submitted, 2019)
(with Joseph Knight and Ashvin Swaminathan) On the A^{1}-Degree of a Weyl Cover (arXiv, 13 pages) (Submitted, 2019)
(with Mitchell Lee and Anand Patel) Equivariant Degenerations of Plane Curve Orbits (arXiv, 33 pages) (Submitted, 2019)
(with Hunter Spink) Incidence strata of affine varieties with complex multiplicities (arXiv, 27 pages) (Submitted, 2019)
(with Hunter Spink) PGL_{2}-equivariant strata of point configurations in P^{1} (arXiv, 39 pages) (Submitted, 2018)
Published work:
(with Mitchell Lee, Anand Patel, and Hunter Spink) Orbits in (P^{r})^{n} and equivariant quantum cohomology (arXiv, 59 pages) (Advances in Math, to appear)
Complete families of immersed curves (arXiv, 13 pages) (Math Research Letters, to appear)
A note on rational curves on general Fano hypersurfaces (arXiv, 18 pages) (Michigan Math Journal, 2019)
On degenerate sections of vector bundles (arXiv, 18 pages) (Mathematische Zeitschrift, to appear)
Collections of hypersurfaces containing a curve (arXiv, 37 pages) (IMRN, to appear)
(with Victor Reiner) Critical groups of covering, voltage, and signed graphs (arXiv, 33 pages) (Discrete Mathematics, 2014)
(with Eric Chen) The Splitting Subspace Conjecture (arXiv, 12 pages) (Finite Fields and Their Applications, 2013)