David Nadler Department of Mathematics Northwestern University 2033 Sheridan Road Evanston, IL 60208-2730 847-491-5587 (ph) 847-491-8906 (fax) nadler at math dot northwestern dot edu

My research interests include the topology of algebraic spaces and maps, perverse sheaves and Morse theory,
representation theory of Lie groups, and loop spaces and the Geometric Langlands program.

I am a co-organizer with Chris Elliott and Sam Gunningham of the 2012 Northwestern Masterclass in Gauge Theory.

Preprints and papers

1. arXiv:1109.4848, Fukaya categories as categorical Morse homology, preprint, 2011.
2. arXiv:1109.4835, with Hiro Lee Tanaka, A stable oo-category of Lagrangian cobordisms, preprint, 2011.
3. arXiv:1009.1862, The Geometric Nature of the Fundamental Lemma, Bull. Amer. Math. Soc. 49 (2012), 1--50.
4. arXiv:1004.5120, with David Ben-Zvi, Loop Spaces and Representations, preprint, 2010.
5. arXiv:1002.3636, with David Ben-Zvi, Loop Spaces and Connections, to appear in J. Topology.
6. arXiv:0904.1247, with David Ben-Zvi, The Character Theory of a Complex Group, preprint, 2009.
7. arXiv:0806.4566, Springer theory via the Hitchin fibration, Compositio Math. 147 (2011), no. 5, 1635--1670.
8. arXiv:0805.0157, with David Ben-Zvi and John Francis, Integral Transforms and Drinfeld Centers in Derived Algebraic Geometry, J. Amer. Math. Soc. 23 (2010), 909--966.
9. arXiv:0706.0322, with David Ben-Zvi, Loop Spaces and Langlands Parameters, preprint, 2007.
10. arXiv:math/0612399, Microlocal branes are constructible sheaves, Selecta Math. 15 (2009), no. 4, 563--619.
11. arXiv:math/0611323, with Dennis Gaitsgory, Spherical varieties and Langlands duality, Moscow Math. J. 10 (2010), no. 1, (Special Issue: In honor of Pierre Deligne), 65--137.
12. arXiv:math/0604428, Morse theory and tilting sheaves, Pure App. Math. Q. 2 (2006), no. 3, (Special Issue: In honor of Robert MacPherson, Part 1 of 3), 83--108.
13. arXiv:math/0604379, with Eric Zaslow, Constructible Sheaves and the Fukaya Category, J. Amer. Math. Soc. 22 (2009), 233--286.
14. arXiv:math/0411266, with Dennis Gaitsgory, Hecke operators on quasimaps into horospherical varieties, Documenta Math. 14 (2009) 19--46.
15. arXiv:math/0311339, with Matthew Emerton and Kari Vilonen, A geometric Jacquet functor, Duke Math. J. 125 (2004), no. 2, 267--278.
16. arXiv:math/0301091, Matsuki correspondence for the affine Grassmannian, Duke Math. J. 124 (2004), no. 3, 421--457.
17. arXiv:math/0202150, Perverse Sheaves on Real Loop Grassmannians, Invent. Math. 159 (2005), no. 1, 1--73.
18. Oscillation and boundary curvature of holomorphic curves in C^n, with Sergei Yakovenko, Math. Res. Lett. 5 (1998), 137--148.
19. Minimal 2-fold coverings of E^d, Geom. Dedicata 65 (1997), 305--312.

Lecture notes

1. The Geometric Nature of the Fundamental Lemma (slides), Current Events Bulletin, JMM, New Orleans, January 2011.