Matt Kerr

Assistant Professor
Cupples I, Room 114
office #: (314)-935-6746
e-mail: matkerr [at] math.wustl.edu

Upcoming Conferences:
Recent advances in Hodge theory, June 10-20, 2013, Vancouver
(co-organized with J. Lewis and G. Pearlstein)
Summer school notes and schedule
Conference schedule

Algebraic Cycles and Coherent Sheaves, October 18-20, 2013, St. Louis
(co-organized with R. Beheshti and M. Kumar)

Math Club homepage

Teaching:

Algebra II(Spring 2013)
Number Theory and Cryptography(Spring 2013)
Algebra I (Fall 2012)
Matrix Algebra (Spring 2012)
Hodge Theory (Fall 2011)
Complex Analysis II (Spring 2011)
Complex Analysis I (Fall 2010)
Linear Algebra Book
Algebraic Geometry Book
Undergraduate project ideas
Math Club talk notes on elliptic billiards, p-adic numbers, finite fourier transform

Research:

CV updated Sept. 2012
A description of my past work
Slides from an introductory talk on regulator maps
Long versions of talks on Mumford-Tate groups and Normal functions
Recent talk series on classifying spaces for Hodge structures: I/ II/ III/ IV
Slides from Phillip Griffiths's recent Kirk Lecture
NSF grant: Algebraic Cycles, Hodge theory, and arithmetic

Some Publications:

1. Cup products in automorphic cohomology: the case of Sp₄, preprint. (pdf)
2. Notes on the representation theory of SL₂(R), preprint. (pdf)
3. with J. McCarthy and O. Shalit, On the isomorphism question for complete Pick multiplier algebras, to appear in Integral Equations and Operator Theory. (link)
4. Indecomposable K₁ of elliptically fibered K3 surfaces: a tale of two cycles, to appear in Fields Inst. Comm. (pdf)
5. with G. Pearlstein, Boundary components of Mumford-Tate domains, preprint. (pdf)
6. with P. Griffiths and M. Green, Special values of automorphic cohomology classes, to appear in Memoirs of the AMS. (pdf)
7. with C. Doran, J. Lewis and X. Chen, Normal functions, Picard-Fuchs equations, and elliptic fibrations on K3 surfaces, preprint. (pdf)
8. with C. Doran, Algebraic K-theory of toric hypersurfaces, CNTP 5 (2011), no. 2, 397-600. (pdf)
9. with P. Griffiths and M. Green, "Mumford-Tate groups and domains: their geometry and arithmetic", Annals of Math Studies, no. 183, Princeton University Press, 2012. (link)
10. Shimura varieties: a Hodge-theoretic perspective, preprint.(pdf)
11. with X. Chen and J. Lewis, The sheaf of nonvanishing meromorphic functions in the projective algebraic case is not acyclic, C.R. Acad. Sci. Paris, Ser. I 348 (2010), 291-293 (pdf)
12. with G. Pearlstein, Normal functions and the GHC, to appear in RIMS Kokyuroku. (pdf)
13. with P. Griffiths and M. Green, Mumford-Tate domains, Bollettino dell' UMI (9) III (2010), 281-307. (pdf)
14. with G. Pearlstein, An exponential history of functions with logarithmic growth, in "Topology of Stratified Spaces", MSRI Pub. 58, Cambridge University Press, New York, 2010.(pdf)
15. with P. Griffiths and M. Green, Some enumerative global properties of variations of Hodge structure, Moscow Math. J. 9 (2009), 469-530.(pdf)
16. with P. Griffiths and M. Green, Neron models and boundary components for degenerations of Hodge structures of mirror quintic type, in "Curves and Abelian Varieties (V. Alexeev, Ed.)", Contemp. Math 465 (2007), AMS, 71-145. (pdf)
17. with P. Griffiths and M. Green, Neron models and limits of Abel-Jacobi mappings, Compositio Math. 146 (2010), 288-366.(pdf)
18. with J. Lewis, The Abel-Jacobi map for higher Chow groups, II, Invent. Math 170 (2007), 355-420. (link)
19. with J. Lewis and S. Mueller-Stach, The Abel-Jacobi map for higher Chow groups, Compositio Math. 142 (2006), no. 2, 374-396. (link)
20. A survey of transcendental methods in the study of Chow groups of 0-cycles, in "Mirror Symmetry V" (Lewis, Yui and Yau, eds.), AMS/IP Stud. Adv. Math. 38 (2006), 295-350. (pdf)
21. Exterior products of zero-cycles, J. reine. angew. Math. 142 (2006), 1-23. (link)
22. Higher Abel-Jacobi maps for 0-cycles, J. K-Theory 2 (2008), 41-101. (link)
23. A regulator formula for Milnor K-groups, K-Theory 29 (2003), 175-210. (pdf)
24. An elementary proof of Suslin reciprocity, Canad. Math. Bull. 48 (2005), v. 2, 221-236. (pdf)
25. "Geometric construction of regulator currents with applications to algebraic cycles", Princeton University Ph. D. Thesis, 2003. (ps)

Today's weather forecast
A guide if your complex functions get too complex
A bit of St. Louis in Venice
Abel-Jacobi graffiti in Durham
An intriguing interdisciplinary monograph in the Durham library
Durham cathedral