# Matt Kerr

Associate Professor

Cupples I, Room 114

office #: (314)-935-6746

e-mail: matkerr [at] math.wustl.edu

**Recent and Upcoming Conferences:**

Algebraic Cycles and
Moduli, June 2-8, 2016, Montreal

(co-organized with P. Brosnan, M. Lalin, R. Laza, J. Lewis, G. Pearlstein,
and C. Robles)

FRG Workshop on Hodge Theory and Representation
Theory, April 25-29, 2015, St. Louis

Algebraic
Cycles and Coherent Sheaves, October 18-20,
2013, St. Louis

(co-organized with R. Beheshti and M. Kumar)

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

Proceedings
volume (M. Kerr, G. Pearlstein eds.)

Putnam practice
Algebraic
Geometry seminar

Instructions
for Math
Department Colloquium

**Current Teaching:**

Number Theory
and Cryptography

(Graduate)
Complex Analysis I

**Some Course Notes:**

Algebraic
cycles

Hodge
Theory

(Graduate)
Algebra I

Undergraduate Algebraic Geometry (book)

Advanced Linear Algebra (book)

Undergraduate
project ideas

Math Club talk notes on elliptic billiards, p-adic numbers, finite
fourier transform

**Research:**

FRG website

CV updated Apr. 2016

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 Y. Yang, *An explicit basis for the rational higher Chow
groups of abelian number fields*, preprint, 2016. (link)

**2.** with C. Robles, *Variations of Hodge structure and orbits in
flag varieties*, preprint, 2016. (link)

**3.** with S. Bloch and P. Vanhove, *Local mirror symmetry and the
sunset Feynman integral*, preprint, 2016. (link)

**4.** with C. Robles, *Classification of smooth horizontal Schubert
varieties*, preprint, 2016. (link)

**5.** with R. Keast, *Normal functions over locally symmetric
varieties*, preprint, 2015. (link)

**6.** with J. Lewis and P. Lopatto, *Simplicial Abel-Jacobi maps and
reciprocity laws*, to appear in J. Alg. Geom. (link)

**7.** with G. da Silva Jr. and G. Pearlstein, *Arithmetic of
degenerating principal variations of Hodge
structure: examples arising from mirror symmetry and middle
convolution*, to appear in Canadian J. Math. (link)

**8.** with S. Bloch and P. Vanhove, *A Feynman integral via higher
normal functions*, Compositio Math. 151 (2015), 2329-2375. (link)

**9.** with I. Horozov, appendix to *Reciprocity laws on
algebraic surfaces via iterated integrals*, to appear in J. of
K-Theory. (pdf)

**10.** *Algebraic and arithmetic properties of period maps*, to
appear in Fields Inst. Comm. (pdf)

**11.** with G. Pearlstein, *Naive boundary strata and nilpotent
orbits*, to appear in Annales de l'Institut Fourier. (pdf)

**12.** with C. Doran, *Algebraic cycles and local quantum
cohomology*, to appear in CNTP. (pdf)

**13.** with P. Griffiths and M. Green, "Hodge Theory,
Complex Geometry and Representation Theory", CBMS Regional Conference Series in
Mathematics, Number 118, AMS, Providence, 2013.

**14.** *Cup products in automorphic cohomology: the case of
Sp*_{4}, in "Hodge Theory, Complex Geometry,
and Representation Theory (Doran, Friedman, Nollet, Eds.)", Contemp. Math.
608, AMS, Providence, 2014, 199-234. (pdf)

**15.** *Notes on the representation theory of
SL*_{2}(**R**), in "Hodge Theory, Complex Geometry,
and Representation Theory (Doran, Friedman, Nollet, Eds.)", Contemp. Math.
608, AMS, Providence, 2014, 173-198. (pdf)

**16.** 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)

**17.** *Indecomposable K*_{1} 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)

**18.** with G. Pearlstein, *Boundary components of Mumford-Tate
domains*, preprint, to appear in Duke Math. J. (pdf)

**19.** with P. Griffiths and M. Green, *Special values of
automorphic cohomology classes*, to appear in Memoirs of the AMS. (pdf)

**20.** 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)

**21.** with C. Doran, *Algebraic *K*-theory of toric
hypersurfaces*, CNTP **5** (2011), no. 2, 397-600. (pdf) (publ.
version)

**22.** 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)

**23.** *Shimura varieties: a Hodge-theoretic perspective*, in
"Hodge Theory (Cattani et al, Eds.)", Mathematical Notes 49, Princeton
Univ. Press, Princeton, 2014, 525-566. (pdf)

**24.** 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)

**25.** with G. Pearlstein, *Normal functions and the
GHC*, RIMS Kokyuroku **1745** (2011), 71-75. (pdf)

**26.** with P. Griffiths and M. Green, *Mumford-Tate domains*,
Bollettino dell' UMI (9) **III** (2010), 281-307. (pdf)

**27.** 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)

**28.** with P. Griffiths and M. Green, *Some enumerative global
properties of variations of Hodge structure*, Moscow Math. J. **9**
(2009), 469-530.(pdf)

**29.** 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)

**30.** with P. Griffiths and M. Green, *Neron models and limits of
Abel-Jacobi mappings*, Compositio Math. **146** (2010), 288-366.(pdf)

**31.** with J. Lewis, *The Abel-Jacobi map for higher Chow groups,
II*,
Invent. Math **170** (2007), 355-420. (link)

**32.** with J. Lewis and S. Mueller-Stach, *The Abel-Jacobi map for
higher
Chow groups*, Compositio Math. **142** (2006), no. 2, 374-396. (link)

**33.** *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)

**34.** *Exterior products of zero-cycles*, J. reine. angew. Math.
**142** (2006), 1-23. (link)

**35.** *Higher Abel-Jacobi maps for 0-cycles*, J.
K-Theory **2** (2008), 41-101. (link)

**36.** *A regulator formula for Milnor K-groups*, K-Theory
**29**
(2003), 175-210. (pdf)

**37.** *An elementary proof of Suslin reciprocity*, Canad. Math.
Bull.
**48** (2005), v. 2, 221-236. (pdf)

**38.** "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

Beilinson's beautiful essay
on the spirit of mathematics

Durham cathedral