Yilong Zhang (張義龍)

Email: yilongzhang@purdue.edu
Office: Mathematical Sciences Bldg 426

Brief Introduction

I am a Golomb Visiting Assistant Professor of Mathematics at Purdue University. My mentor is Donu Arapura. I graduated from The Ohio State University in Spring 2022. My advisor was Herb Clemens.

My research is in algebraic geometry. In particular, I'm interested in Hodge theory and topology of algebraic varieties. I'm currently on the job market.

Here is my CV.

Research

  • Embedded Tubes in Hypersurfaces in P^4, with Siyan Liu, preprint available soon
  • Hilbert Scheme of a Pair of Skew Lines on a Cubic Hypersurface, preprint
  • Elliptic-Elliptic Surfaces and Hesse Pencil, with François Greer, arXiv
  • Degeneration of Dual Vareties of Hypersurfaces, arXiv
  • Monodromy of Primitive Vanishing Cycles for Hypersurfaces in P^4, arXiv
  • Extension of the Topological Abel-Jacobi Map for Cubic Threefolds, arXiv
  • Hilbert Scheme of Skew Lines on Cubic Threefolds, arXiv
  • Topological Abel-Jacobi map and Mixed Hodge Structures, Math. Res. Lett. 31, No. 4, 1215-1247 (2024) arXiv

  • Here is my thesis (modified from the original version, with errors fixed).

    Seminar at Purdue

    I am organizing Purdue Algebraic Geometry seminar with Takumi Murayama and Deepam Patel. This semester we also run a classical paper/preprint seminar.

    Upcoming travels/talks

  • Jan 8-10, University of Oregon, algebra seminar
  • July 14-Aug 1, Colorado State University, Summer conference on algebraic geometry
  • Teaching

    Spring 2025: MA 265 Linear Algebra

    Mentoring

  • Summer 2024, organized a problem solving seminar. Here is the problem list.
  • Summer 2023, mentored two undergraduate students in REU program. It's about lines on cubic surfaces.
  • Summer 2023, mentored a graduate student in a reading course. The topic is on Riemann Surfaces.
  • Spring 2022, mentored an undergraduate student exploring a "figure-eight" phenomenon in astronomy. Here is my student's poster.
  • Spring 2022, mentored an undergraduate student on Stereographic Projects and Mobius Transformations
  • Notes

  • May 2021, Rationality and Stable Rationality
  • May 2020, O-Minimal Chow's Theorem
  • Dec 2019, Brieskorn's Theorem on Fundamental Groups


  • Last updated on Jan 2, 2025.