Calendar:

May 5, 2005: Marius Mitrea, Colloquium talk at the University of Virginia.

May 19, 2005: Marius Mitrea, One hour plenary address at the 7-th International Conference on Clifford Algebras and Their Applications Toulouse, France.
http://www.icca7.ups-tlse.fr/indexusa.php

May 19, 2005: Dorina Mitrea, Lecture at the 7-th International Conference on Clifford Algebras and Their Applications Toulouse, France.
http://www.icca7.ups-tlse.fr/indexusa.php

June15-July 23, 2005: Alex Iosevich (University of  Missouri) visited the University of Bristol for the purpose of research collaboration with Michael Rudnev.  The visit resulted in the submission of two joint papers.

June 23-July 2, 2005: Alex Iosevich (University of Missouri) visited Philippe Jaming at the University of  Orleans and gave a talk. The visit resulted in a joined project which should result in a paper in the next few months.

July 3-10, 2005: Alex Iosevich (University of Missouri) attended a harmonic analysis meeting at Oberwalfach organized by Detlef Muller and Elias Stein and gave a talk.

July 11-15, 2005: Alex Iosevich (University of Missouri) visited the University of Crete for the purpose of research of collaboration with Mihalis Kolountzakis and gave a talk.

August 1-5, 2005: A week-long program for high school students on the Erdos distance problem at the University of Missouri. In the evenings, an accelerated version of this program was run for undergraduate and graduate students at the University of Missouri-Columbia. Julia Garibaldi (Georgia Institute of Technology) and Alex Iosevich (University of Missouri) ran the program with the assistance of Tyler Jones-Salisbury, a local high school student.

August 29, September 1, September 8, 2005: Michael Rudnev, a series of lectures on distance sets and related problems. See http://www.math.missouri.edu/~dorina for a more detailed description.

December 9-10,2005: Marius Mitrea, speaker at the Seminar on Analysis - On the occasion of Elias Saab's 60th birthday, University of Missouri.

October 2005: A. Iosevich, invited lecture at the Integers Conference at the University of Western Georgia.

October 2005: A. Iosevich, seminar talk at the University of South Carolina.

October 22, 2005: Dorina Mitrea, Special Session on Analysis of Partial Differential Equations, AMS Sectional meeting, Lincoln, NE.

November 2005: Alex Iosevich, colloquium lecture at Kent State University.

December 2005: Alex Iosevich, an invited lecture at the annual meeting of the Canadian Mathematical Society.

March 29-31, 2006: Marius Mitrea, Interpolation Theory and Applications: Conference to Honor Michael Cwikel on his 59th birthday, Miaimi, FL.
http://www.math.fau.edu/milman/images/CwikelConference.html

April 8-9, 2006: Dorina Mitrea, Special Session on Harmonic Analysis, PDE and Geometric Function Theory, AMS Sectional meeting, Notre Dame.



Papers:

Published papers:

S. Hofmann and A. Iosevich, "Circular averages and Falconer/Erdos distance conjecture in the plane for random metrics", Proc. Amer. Mat. Soc. 133 (2005), 133-143.

A. Iosevich and M. Rudnev, "Non-isotropic distance measures for lattice generated sets", Publicaciones, vol. 49 (2005), 225-247.

D. Mitrea, "Integral equation methods for Div-Curl problems for planar vector fields in nonsmooth domains", Differential and Integral Equations", vol. 18, no. 9 (2005), 1039-1054.

M. Mitrea and M. Taylor, "Sobolev and Besov space estimates for solutions to second order PDE on Lipschitz domains in manifolds with Dini
or Holder continuous metric tensors", Communications in PDE, Vol. 30 (2005), No. 1-3, 1-37.

Accepted papers:

A. Iosevich and M. Kolountzakis, "A Weyl type formula for Fourier spectra and frames", to appear in PAMS.

A. Iosevich, M. Rudnev, S. Konyagin and V. Ten, "Combinatorial complexity of convex sequences", to appear in JDCG.

A. Iosevich and I. Laba, "K-distance, Falconer conjecture, and discrete analogs", to appear in Integers.

A. Iosevich, "Fourier analysis and geometric combinatorics", to appear in the Birkhauser volume dedicated to the annual Padova lectures in analysis.

D. Mitrea, "On the Regularity of the Harmonic Green Potential in Nonsmooth Domains", to appear in the Proceedings of IMSE2004, C. Constanda et al., eds., Birkh\"auser-Boston, (2005).

D. Mitrea, "Calculus Connections", with Asma Harcharras, book manuscript accepted by Prentice Hall.



Submitted papers:

A. Iosevich and M. Rudnev, "Powder diffraction from a combinatorial and analytic viewpoint", submitted for publication.

A. Iosevich and M. Rudnev, "Freiman's theorem, Fourier transform, and additive structure of measures", submitted for publication.

A. Iosevich and M. Rudnev, "Erdos distance problem in vector spaces over finite fields", submitted for publication.

A. Iosevich, E. Sawyer and A. Seeger, "Mean square discrepancy bounds for the number of lattice points inside large convex domains II: rough domains in the plane", submitted for publication.

A. Iosevich and M. Rudnev, "Spherical averages, distance sets, and lattice points on convex surfaces", submitted for publication.

A. Iosevich and M. Rudnev, "Mattial integrals associated with sign indefinite measures", submitted for publication.

D. Mitrea, "On the Boundedness of Calder\'on-Zygmund Operators with Monogenic Kernels", submitted for publication.


D. Mitrea, M. Mitrea and Q. Shi, "Variable coefficient transmission problems and singular integral operators on non-smooth manifolds", submitted for publication.

M. Mitrea, "Mixed boundary-value problems for Maxwell's equations", submitted for publication.

M. Mitrea and M. Taylor, "The Poisson problem in weighted Sobolev spaces on Lipschitz domains", submitted for publication.

M. Mitrea, R. Duduchava and D. Mitrea, "Differential operators and boundary value problems on hyper-surfaces", submitted for publication.

M. Mitrea and S. Mayboroda, "Layer Potentials and Boundary Value Problems for Laplacian in Lipschitz Domains with Data in Quasi-Banach Besov Spaces", submitted for publication.

M. Mitrea, V.Maz'ya and T.Shaposhnikova, "The Dirichlet problem in Lipschitz domains with boundary data in Besov spaces for higher order elliptic systems with rough coefficients", submitted for publication.

M. Mitrea, M. Taylor and A.Vasy, "Lipschitz Domains, Domains with Corners, and the Hodge Laplacian", submitted for publication.

M. Mitrea, F. Gesztesy, Y. Latushkin and M. Zinchenko, "Non-self-adjoint operators, Infinite Determinants, and some Applications", submitted for publication.

M. Mitrea and I. Mitrea, "The Poisson Problem with Mixed Boundary Conditions in Sobolev and Besov Spaces in Non-Smooth Domains" submitted for publication.

M. Mitrea and S. Mayboroda, "The Poisson problem for the Lame system on low dimensional Lipschitz domains", submitted for publication.


Postoctoral researcher and graduate student FRG related activities:

Seik Kim, a postdoctoral researcher at the University of Missouri is spending a semester at the Mathematical Sciences Research Institute in Berkeley, funded by the FRG.



Local impact of the FRG activities:

The FRG seminar for FS2005, organized by Dorina Mitrea, has been running very successfully.

The following local newspaper articles shows that the University of Missouri, and indeed the Columbia community at large, is aware of our FRG Grant and the associated activities: http://rcp.missouri.edu/articles/mathdeptgrants.html
                               http://archive.columbiatribune.com/2005/aug/20050806news002.asp

FRG posters and T-shirts are proving to be effective advertisement tools.