Woonam Lim
Email: woonam.lim at math.ethz.ch
Office: HG J 43
I am a postdoc at ETH Zurich working in algebraic geometry. My mentor is Rahul Pandharipande. Before joining ETH Zurich, I did my Ph.D. at UCSD under supervision of Dragos Oprea. Here is my CV.
I work in algebraic geometry. Specifically, I am interested in virtual invariants of sheaf-theoretic moduli spaces on curves, surfaces, Fano 3-folds and Calabi-Yau 4-folds.
Teaching
Papers and Preprints
- The virtual K-theory of Quot schemes of surfaces (with Noah Arbesfeld, Drew Johnson, Dragos Oprea and Rahul Pandharipande), J. Geom. Phys. 164 (2021)(arxiv)
- Virtual $\chi_{-y}$-genera of Quot schemes on surfaces, J. Lond. Math. Soc. 104 (2021) (arxiv)
- Virtual invariants of Quot schemes of surfaces, Ph.D. thesis (Open Access)
Invited Talks
- Virasoro constraints for moduli of sheaves, Seminar Algebraic Geometry at Bonn, SP22
- Virasoro constraints for sheaves and pairs via wall-crossing in vertex algebra, ETH moduli seminar, SP22
- Virasoro constraints for stable pairs on Calabi-Yau 4-folds, KIAS algebraic geometry seminar, FA21
- Wall-crossing formula for pairs on Calabi-Yau 4-folds, ETH moduli seminar, FA21
- Virtual invariants of Quot schemes of surfaces, FRAGMENT seminar, SP21
- Lecture series on virtual invariants of Quot schemes of surfaces, ETH moduli seminar, SP21
- Virtual χ−y-genera of Quot schemes on surfaces, ETH moduli seminar, WI20
- Rationality of the virtual invariant series of Quot schemes on surfaces, UCSD Algebraic Geometry Seminar, WI20
Seminars
I organized Enumerative Geometry seminar at UCSD.
Fall 2020: Donaldson-Thomas theory of 3-fold and CY 4-fold. See here.
Spring 2020: Enumerative geometry of K3 surfaces. See here.
Winter 2020: Hilbert scheme of points on surfaces and Beauville-Voisin conjecture for HyperKahler varieties. See here.
Fall 2019: Vafa-Witten invariants of surfaces. See here.
Notes
- Notes for FRAGMENT seminar, 2021.
-
Notes 1, 2, 3 for the lecture series in ETH moduli seminar, 2021. See here for details of the lectures.
-
Slides for ETH seminar, 2020.
Conferences
- Derived Categories, Moduli Spaces, and Hyperkähler Varieties, University of Michigan, 30 July - 5 August 2022.
- Vector Bundles on Algebraic Curves, Warwick, 25-29 July 2022.
- School on Mirror Symmetry and Moduli Spaces, Lisbon, 27 June — 1 July 2022.
- Helvetic Algebraic Geometry Seminar, SwissMAP Research Station, 5-10 June 2022.
- Curves and K3 surfaces, University of Bonn, 9-12 May 2022.
- Helvetic Algebraic Geometry Seminar, Geneva, August 2021.
- Summer school on Enumerative Geometry, Physics and Representation Theory, IHES, July 2021.
- BPS states, mirror symmetry and exact WKB, Sheffield Algebraic Geometry and Mathematical Physics Group, June 2021.
- Perverse Sheaves in Enumerative Geometry, HCM, February 2020.
- School and Workshop on Gauge Theories and Differential Invariants, ICTP, September 2019.
- Winter School on Enumerative Geometry and Modular Forms, Goethe University Frankfurt, February 2019.
- Complex Algebraic Geometry II, University of California, San Diego, January 2018.
- FRG Workshop on Moduli Spaces of sheaves and Bridgeland Stability, University of Illinois Chicago,December 2018.
- Western Algebraic Geometry Symposium, University of Oregon, October 2018.
- MSRI Summer School: Derived Categories, MSRI, June 2018.
- Arizona Winter School: Iwasawa Theory, University of Arizona, Mar 2018.
- Summer School on Algebra and Geometry of Spheres and Tori, KIAS, June 2017.