Matt Kerr

[On leave at IAS for 2014-15 academic year]


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

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

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

Multivariable Calculus(Spring 2014)
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 Oct. 2013
A brief description of some 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 grants: Algebraic Cycles, Hodge theory, and arithmetic (2011-14);
FRG: Hodge Theory, Moduli, and Representation Theory (2014-17)

Publications:

1. with C. Robles, Hodge theory and real orbits in flag varieties, preprint, 2014. (link)
2. with G. da Silva Jr. and G. Pearlstein, Arithmetic of degenerating principal variations of Hodge structure: examples arising from mirror symmetry and middle convolution, preprint, 2014. (link)
3. with S. Bloch and P. Vanhove, A Feynman integral via higher normal functions, preprint. (link)
4. with I. Horozov, appendix to Reciprocity laws on algebraic surfaces via iterated integrals, to appear in J. of K-Theory. (pdf)
5. Algebraic and arithmetic properties of period maps, to appear in Fields Inst. Comm. (pdf)
6. with G. Pearlstein, Naive boundary strata and nilpotent orbits, to appear in Annales de l'Institut Fourier. (pdf)
7. with C. Doran, Algebraic cycles and local quantum cohomology, preprint. (pdf)
8. with P. Griffiths and M. Green, "Hodge Theory, Complex Geometry and Representation Theory", CBMS Regional Conference Series in Mathematics, Number 118, AMS, Providence, 2013.
9. Cup products in automorphic cohomology: the case of Sp4, in "Hodge Theory, Complex Geometry, and Representation Theory (Doran, Freidman, Nollet, Eds.)", Contemp. Math. 608, AMS, Providence, 2014, 199-234. (pdf)
10. Notes on the representation theory of SL2(R), in "Hodge Theory, Complex Geometry, and Representation Theory (Doran, Freidman, Nollet, Eds.)", Contemp. Math. 608, AMS, Providence, 2014, 173-198. (pdf)
11. with J. McCarthy and O. Shalit, On the isomorphism question for complete Pick multiplier algebras, Integral Equations and Operator Theory 76 (2013), no. 1, 39-53. (link)
12. Indecomposable K1 of elliptically fibered K3 surfaces: a tale of two cycles, in "Arithmetic and geometry of K3 surfaces and C-Y threefolds (Laza, Schuett, Yui Eds.)", Fields Inst. Comm. 67, Springer, New York, 2013, 387-409. (pdf)
13. with G. Pearlstein, Boundary components of Mumford-Tate domains, preprint. (pdf)
14. with P. Griffiths and M. Green, Special values of automorphic cohomology classes, to appear in Memoirs of the AMS. (pdf)
15. with C. Doran, J. Lewis and X. Chen, Normal functions, Picard-Fuchs equations, and elliptic fibrations on K3 surfaces, to appear in Crelle's Journal. (pdf)
16. with C. Doran, Algebraic K-theory of toric hypersurfaces, CNTP 5 (2011), no. 2, 397-600. (pdf)
17. 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)
18. Shimura varieties: a Hodge-theoretic perspective, in "Hodge Theory (Cattani et al, Eds.)", Mathematical Notes 49, Princeton Univ. Press, Princeton, 2014, 525-566. (pdf)
19. 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)
20. with G. Pearlstein, Normal functions and the GHC, RIMS Kokyuroku 1745 (2011), 71-75. (pdf)
21. with P. Griffiths and M. Green, Mumford-Tate domains, Bollettino dell' UMI (9) III (2010), 281-307. (pdf)
22. with G. Pearlstein, An exponential history of functions with logarithmic growth, in "Topology of Stratified Spaces", MSRI Pub. 58, Cambridge University Press, New York, 2011.(pdf)
23. with P. Griffiths and M. Green, Some enumerative global properties of variations of Hodge structure, Moscow Math. J. 9 (2009), 469-530.(pdf)
24. 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)
25. with P. Griffiths and M. Green, Neron models and limits of Abel-Jacobi mappings, Compositio Math. 146 (2010), 288-366.(pdf)
26. with J. Lewis, The Abel-Jacobi map for higher Chow groups, II, Invent. Math 170 (2007), 355-420. (link)
27. with J. Lewis and S. Mueller-Stach, The Abel-Jacobi map for higher Chow groups, Compositio Math. 142 (2006), no. 2, 374-396. (link)
28. 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)
29. Exterior products of zero-cycles, J. reine. angew. Math. 142 (2006), 1-23. (link)
30. Higher Abel-Jacobi maps for 0-cycles, J. K-Theory 2 (2008), 41-101. (link)
31. A regulator formula for Milnor K-groups, K-Theory 29 (2003), 175-210. (pdf)
32. An elementary proof of Suslin reciprocity, Canad. Math. Bull. 48 (2005), v. 2, 221-236. (pdf)
33. "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