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Brooke Ullery Office: MSC E416 Email: bullery (at) emory (dot) edu Curriculum Vitae |
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I am an assistant professor in the math department at Emory University. I graduated in 2015 from the University of Michigan with a Ph.D. in mathematics. My advisors were Rob Lazarsfeld and Karen Smith. I spent the academic year 2015-16 as an NSF postdoctoral fellow at University of Utah, and 2016-2020 as an NSF postdoctoral fellow and Benjamin Peirce fellow at Harvard. My research interests are mostly in classical algebraic geometry.
Papers
- A Cayley-Bacharach theorem and plane configurations (joint with J. Levinson). Preprint.
- The gonality of complete intersection curves (joint with J. Hotchkiss and C. Lau). J. Alg. 560 (2020), 579--608.
- The degree of irrationality of hypersurfaces in various Fano varieties (joint with D. Stapleton). Manuscripta math. (2019), 1432--1785.
- Measures of irrationality for hypersurfaces of large degree (joint with F. Bastianelli, P. De Poi, L. Ein, and R. Lazarsfeld). Compos. Math. 153 (2017), no. 11, 2368--2393.
- Tautological bundles on the Hilbert scheme of points and the normality of secant varieties. My PhD thesis.
- On the normality of secant varieties. Adv. Math. 288 (2016), 631--647.
- Designer ideals with high Castelnuovo-Mumford regularity. Math. Res. Lett. 21 (2014), no. 5, 1215--1225.
Teaching
In spring 2022, I'm teaching commutative algebra and scheme theory.
Notes
- Algebraic geometry -- Lecture notes from an undergraduate algebraic geometry class I taught at Harvard in 2018, 2019, and 2020.
- Linear series and positivity of vector bundles -- Lecture notes from a graduate topics course I taught at Harvard in spring 2017.
Biography
Before graduate school, I was an undergraduate at the University of Chicago. Prior to that, I went to UMTYMP (University of Minnesota Talented Youth Mathematics Program). I enthusiastically endorse UMTYMP, and cannot overstate its impact on me mathematically. Outside of math, I spend most of my time bouldering and spending time with my husband and my one-year-old.