Nahum Zobin

Associate Professor of Mathematics

Department of Mathematics
College of William and Mary
Williamsburg, Virginia 23187-8793

Tel:  (757) 221-2024 (office)
        (757) 221-1873 (Dept)
        (757) 833-8315 (home)
        (757) 719-1739 (cellular)
Fax: (757) 221-7400 (Dept)
        (757) 833-8315 (home)
E-mail: zobin@math.wm.edu
            nvzobin@msn.com


Office:  Jones Hall,  118.

Research  Interests:

Analysis:  Function Theory, especially spaces of smooth functions;  Operator Theory, especially Jordan decomposition and interpolation of operators,  Nuclear Spaces.

Mathematical Physics:  Quantization, Yang-Baxter Equations, Noncommutative Gauge Fields Theory,  Representations and Theta Functions, Chaotic dynamical systems 

Geometry: Convex geometry and Coxeter groups

Algebra: Polynomial automorphisms of affine spaces

Applied Mathematics: Hydrodynamics of Non-Newtonian fluids, Medical Imaging 


Seminars.

I am coordinating three interdepartmental seminars which bring together faculty and students from various departments.

1. MATHEMATICAL PHYSICS SEMINAR  is working since 2000. We study such topics as Hamiltonian and Lagrangian formalisms,
Symplectic geometry, Group representations, Chaotic dynamical systems.

2. ALGEBRO-GEOMETRIC METHODS IN NONLINEAR EQUATIONS SEMINAR is working since 2002. We study such topics as Solitons, Theta Functions, Inverse Scattering Methods.

3. NONCOMMUTATIVE GEOMETRY SEMINAR is working since 2001. We mostly study the works of Alain Connes and applications of these ideas to
noncommutative gauge field theories.

See our webpage at  
                                                            http://www.math.wm.edu/~klsmit/Colloquia.html
for the current schedule.


 

CV, list of publications, etc.    cvfmt.pdf



RECENT PAPERS (since 1998)



1. Whitney's problem on extendability of functions and an intrinsic metric, Advances in Mathematics, vol. 133, # 1, (1998), 96-132. ext.pdf

2. Szego extremal problems, Amer. Math. Soc. Transl., 2, vol. 184, (1998), 253-263.(reprints available)

3. Jordan Decomposition, 1. Geometric Approach, Russian Journal of Mathematical Physics, vol. 6. # 1, (1999), 113-123.jordgeom.pdf

4. Jordan Decomposition, 2. Analytic Approach, Russian Journal of Mathematical Physics, vol. 6,  # 2, (1999), 235-243.jordanal.pdf

5. Extension of smooth functions from finitely connected planar domains, Journal of Geometric Analysis, vol. 9, # 3, (1999), 489-509.(reprints available)

6. Some remarks on quasi-equivalence of  bases in Frechet spaces, Linear Algebra and Applications, vol. 307,  #1-3, (2000), 47-67.quasi.pdf

7. Geometric structure of $B_{2,2}$-orbihedra and interpolation of operators, Linear and Multilin. Algebra, vol. 48, (2000), 67--91, (with V. Zobin).
(reprints available)

8. Linear preservers of isomorphic types of lattices of invariant operator ranges,  Proc. of  Amer. Math. Soc., vol. 129, (2001), 2981-- 2986,(with L. Rodman).operng.pdf


9. On eigenvalues and boundary curvature of the numerical range,  Linear Algebra and Applications, vol. 322,  #1-3, (2001), 129--140, (with L. Caston,
M. Savova, I. Spitkovsky).numerng.pdf

10. Birkhoff's Theorem and convex hulls of Coxeter groups, Linear Algebra and Applications, vol. 347, (2002), 219--231, (with N. McCarthy, D. Ogilvie, I. Spitkovsky).birfi.pdf

11. Convex hulls of Coxeter groups,  in "Function Spaces, Interpolation Theory and Related Topics", Walter de Gruyter, Berlin -- New York, (2002), 213--240, (with J. Brandman, J. Fowler, B.Lins, I. Spitkovsky).survbirk.pdf

12. Noncommutative gauge theory without Lorentz violation,  Phys. Rev. D, vol. 66, (2002), 075001-8 (with C. Carlson, C. Carone).ncft.pdf

13. Convex geometry of Coxeter-invariant polytopes,  Contemp. Math., vol. 321, (2003), 153--180, (with N. McCarthy, D. Ogilvie, V. Zobin).coxpoly.pdf

14. Finite reflection groups and linear preserver problems, to appear in Rocky Mountains Journal of Mathematics, (2003), 22 pp.,(with C.K. Li, I. Spitkovsky).lsz.pdf



 


Teaching.

Fall 2003:

Math 412 Introduction to Number Theory (TR 12:30 -- 1:50 pm, Jones 306)

Math 490 Seminar in Problem Solving (TR 2:00 -- 3:20 pm, Jones 131)

Office hours: TR 4:00 -- 4:50 pm, and by appointment


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