Curriculum Vitae

Lenny Fukshansky


Address

         Department of Mathematics
         Claremont McKenna College
         850 Columbia Avenue
         Claremont, CA 91711

         Phone: (909) 607 - 0014
         Fax:     (909) 621 - 8419
         Email: lenny@cmc.edu
         Webpage:  http://math.cmc.edu/lenny/

Personal
 Education
University of Texas at Austin
Advisor: Prof. J. D. Vaaler
Thesis:   Algebraic points of small height with additional arithmetic conditions
University of California at Los Angeles
Professional Experience
Visiting Positions
Invited Research Visits
Research Interests
   
    Number theory, arithmetic geometry, discrete and convex geometry, in particular:
Publications
  1. Small zeros of quadratic forms with linear conditions, Journal of Number Theory, vol. 108 no. 1 (2004), pg. 29-43
  2. Lattice points in homogeneously expanding compact domains, One section of the omnibus Problems Article "Problems from the Cottonwood Room" (M. Beck, B. Chen, L. Fukshansky, C. Haase, A. Knutson, B. Reznick, S. Robins, A. Schuermann),  Contemporary Mathematics 374 (2005), 179-191, Proceedings of the Summer 2003 AMS/MAA/SIAM Conference on Integer Points in Polyhedra
  3. Integral points of small height outside of a hypersurface, Monatshefte für Mathematik, vol. 147 no. 1 (2006), pg. 25-41
  4. Siegel's lemma with additional conditions, Journal of Number Theory, vol. 120 no. 1 (2006), pg. 13-25
  5. (with Sinai Robins) Frobenius problem and the covering radius of a lattice, Discrete and Computational Geometry, vol. 37 no. 3 (2007), pg. 471-483
  6. On effective Witt decomposition and Cartan-Dieudonné theorem, Canadian Journal of Mathematics, vol. 59 no. 6 (2007), pg. 1284-1300
  7. Small zeros of quadratic forms over the algebraic closure of Q, International Journal of Number Theory, vol. 4 no. 3 (2008), pg. 503-523
  8. On distribution of well-rounded sublattices of Z^2, Journal of Number Theory, vol. 128 no. 8 (2008), pg. 2359-2393
  9. On similarity classes of well-rounded sublattices of Z^2, Journal of Number Theory, vol. 129 no. 10 (2009), pg. 2530-2556
  10. Search bounds for zeros of polynomials over the algebraic closure of Q, Rocky Mountain Journal of Mathematics, vol. 39, no. 3 (2009), pg. 789-804
  11. Effective structure theorems for symplectic spaces via height, in "Quadratic forms -- algebra, arithmetic, and geometry" (R. Baeza, W.K. Chan, D.W. Hoffmann, and R. Schulze-Pillot, eds.), Contemporary Mathematics 493 (2009), pg. 117--130
  12. Integral orthogonal bases of small height for real polynomial spaces, Online Journal of Analytic Combinatorics, no. 4 (2009), art. 7, 10 pp.
  13. Revisiting the hexagonal lattice: on optimal lattice circle packing, to appear in Elemente der Mathematik
  14. (with Wai Kiu Chan) Small zeros of hermitian forms over quaternion algebras, to appear in Acta Arithmetica
  15. Algebraic points of small height missing a union of varieties, submitted for publication -- a version of this paper also appears in the MPIM Preprint Series
  16. (with Sinai Robins) Bounds for solid angles of lattices of rank three, submitted for publication
  17. (with D. Moore, A. Ohana, W. Zeldow) On well-rounded sublattices of the hexagonal lattice, in preparation
Honors, Awards, Scholarships, Funding
 Invited talks
 Contributed talks
 Educational and expository talks
 Seminar talks
 Other special programs and conferences attended
 Professional activities and service
Special Teaching Activities
 Courses Taught
Lecture Notes (available on the webpage in PDF format)
 Computing Skills