Benjamin Schmidt

I am a postdoc at UT Austin. Between Fall 2012 and Spring 2016 I have been a graduate student at the Ohio State University. I finished a Ph.D. with Emanuele MacrìMore information about me can be found on my CV.

My main area of interest is Algebraic Geometry. In particular, I am working on connections between Algebraic Geometry, Homological Algebra and Representation Theory. I have worked on moduli spaces of semistable sheaves, birational geometry, derived categories, Bridgeland stability conditions, moduli of quiver representations, exceptional collections and linear algebraic groups.

I am a (co-)organizer of the Geometry Seminar at UT Austin.

Contact Information

Department of Mathematics
The University of Texas at Austin
2515 Speedway
Austin, TX 78712
Office RLM 9.118
schmidt@math.utexas.edu

Articles

  1. Derived categories and the genus of space curves, joint with Emanuele Macrì. arXiv:1801.02709.
  2. Bridgeland Stability on Blow Ups and Counterexamples, joint with Cristian Martinez, Appendix by Omprokash Das. arXiv:1708.08567.
  3. Families of elliptic curves in P^3 and Bridgeland Stability, joint with Patricio Gallardo and César Lozano Huerta. To appear in Michigan Mathematical Journal. arXiv:1609.08184M2-Code.
  4. Bridgeland Stability Conditions on Fano Threefolds, joint with Marcello Bernardara, Emanuele Macrì, and Xiaolei Zhao. Épijournal Geom. Algébrique 1 (2017), Art. 2, 24 pp.. arXiv:1607.08199.
  5. Lectures on Bridgeland Stability, joint with Emanuele Macrì. To appear in the Proceedings of the “CIMPA-CIMAT-ICTP School on Moduli of Curves” (Guanajuato, Mexico, 2016), Springer 2017. arXiv:1607.01262.
  6. Counterexample to the Generalized Bogomolov-Gieseker Inequality for Threefolds, Int. Math. Res. Not. IMRN 2017, no. 8, 2562–2566. arXiv:1602.05055.
  7. Stability Conditions on Threefolds - First Wall CrossingsarXiv:1509.04608. The mentioned Sage code can be found at stability_library.sage with documentation.
  8. Nef Cones of Hilbert Schemes of Points on Surfaces, joint with Barbara Bolognese, Jack Huizenga, Yinbang Lin, Eric Riedl, Matthew Woolf, and Xiaolei Zhao. Algebra Number Theory 10 (2016), no. 4, 907-930. arXiv:1509.04722.
  9. A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold, Bull. Lond. Math. Soc. 46 (2014), no. 5, 915-923. arXiv:1309.4265.
  10. On the Birational Geometry of Schubert Varieties, Bull. Soc. Math. France 143 (2015), no. 3, 489-502. arXiv:1208.5507.

Theses

  1. Stability Conditions on Threefolds and Space Curves
    The Ohio State University, Ph.D. Thesis.
  2. Resolutions of some Schubert Varieties
    University of Bonn, Master's Thesis.

Notes

These are various notes in more or less polished form. They certainly contain numerous mistakes and inaccuracies. Let me know if you find any mistakes.

  1. What has Algebraic Geometry to do with Geometry?
    Notes from a talk given at the graduate student seminar of the Ohio State University in April 2016.
  2. Constructing Stability Conditions on Threefolds.
    Notes from a talk given at Yau's student seminar at Harvard in March 2016.
  3. Introduction to Deformation Theory.
    Notes from a talk given at a graduate student seminar joint between MIT and NEU in March 2016.