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Leon Kaganovskiy ( leonkag at gmail dot com ) I am an Associate Professor of Mathematics at the Touro College (1602 Ave J, Brooklyn Campus) Masters in Physics (Theoretical Physics specialization), [| Krarkov University] Ukraine Bachelor in Applied Mathematics, [| University of Michigan, Ann Arbor] Masters in Mathematics, [| University of Michigan, Ann Arbor] PhD in Applied Mathematics, [|University of Michigan, Ann Arbor]
 * Education **:

**Teaching at the** **Touro College:**

Pre-Calculus, Calculus 1, Calculus 2, Advanced Calculus 1, Advanced Calculus 2, Differential Equations, Linear Algebra Statistics, BioStatistics, College Math, VBAExcel, Scientific Computing, Physics 150

**Teaching at the New College of Florida:** Introduction to Programming, Numerical Methods, Eco-Informatics Analysis of Invasive Species (joint teaching with Ecology Department), Ordinary Differential Equations, Introduction to Scientific Computing, Advanced Python Programming, Partial Differential Equations, Science on a Computer (Matlab+Maple), Introduction to Programming with Java and Matlab, Computational Methods, Networks Computer Lab
 * [|Applied Mathematics Program.] [|Computational Science Program.]**
 * Courses taught: **

**Teaching at the University of Michigan:** Course Syllabi: [| Calculus I], [| Calculus II] , [| Multivariable Calculus III] , [| Differential Equations]

[| Maple for the Classroom of the Future] [| Mathematica, Maple, Matlab, IDL]
 * Instructional Technology Resources **

[| Seminar on Teaching Mathematics] [| Center for Research on Learning and Teaching] [| Project NExT]

Research:
 * PUBLICATIONS: **
 * L. Kaganovskiy, "Adaptive Panel Representation for 3D Vortex Ring Motion and Instability," Mathematical Problems in Engineering, vol. 1, 2007
 * L. Kaganovskiy, R. Krasny, H. Feng, "Azimuthal vortex ring instability computed by a vortex sheet panel method," Journal of Fluid Dynamics Research, vol. 41, 2009
 * L. Kaganovskiy, “Adaptive Panel Representation for Oblique Collision of Two Vortex Rings,” International Journal of Non-Linear Mechanics, vol. 46(1), 2011
 * L. Kaganovskiy, S. Khizroev, D. Litvinov, and S. Wilcox, “Investigation of the switching wave propagation in linear chains of magnetic elements”, Journal of Applied Physics, vol. 110, issue 4, 2011
 * Y. Tian, L. Kaganovskiy, N. Amos, B. Hu, D. Litvinov, and S. Khizroev, “Effects of Crystalline Anisotropy on Nanomagnetic Computer Logic Channels”, Journal of Nanoelectronics and Optoelectronics, vol. 6, p 1–8, 2011
 * L. Kaganovskiy, S. Khizroev, and D. Litvinov, “Influence of low anisotropy inclusions on magnetization reversal in bit-patterned arrays”, Journal of Applied Physics, vol. 111, issue 3, 033924, 2012, doi:10.1063/1.3679563
 * L. Kaganovskiy and M. Lowman, “Mathematical Models of Forest Canopy for Herbivory”, presented in textbook “Methods in Forest Canopy Research”, University of California Press, 2012.
 * L. Kaganovskiy and M. Lowman, "Modeling Insect Outbreaks in Forest Canopies: Integration of Virtual Simulations with Hands-On Ecology for Undergraduates" - article in textbook: "Treetops at Risk", Springer, 2013
 * L. Kaganovskiy, J. W. Lau, S. Khizroev, D. Litvinov, "Influence of a low anisotropy grain on magnetization reversal in polycrystalline bit-patterned media", Journal of Applied Physics, vol. 114, issue 12, 123909, 2013, dx.doi.org/10.1063/1.4822315


 * CONFERENCE **** PRESENTATIONS **** : **


 * L. Kaganovskiy, "Maxima for Calculus and Differential Equations", Math Fest 2013, Aug 1-3, 2013, Hartford, CT.
 * B. Povlotsky and L. Kaganovskiy, “Measure to fit PC workplace by personal reference points”, IIE Annual Conference, May 18 – 22, 2013, San Juan, Puerto Rico.
 * L. Kaganovskiy and R. Krasny, “Numerical Simulation of Vortex Ring Instability and Collisions”, Joint Mathematics Meeting, Jan 9-12, 2013, San Diego, CA.
 * L. Kaganovskiy, D. Litvinov, and S. Khizroev, “ Influence of Low Anisotropy Inclusions on Magnetization Reversal in Bit-Patterned Arrays”, International Magnetics Conference, May 7-11, Vancouver, 2012
 * L. Kaganovskiy, R. Krasny, "3-D Vortex Rings Instabilities and Collision: Numerical Approach," Joint Mathematics Meeting, Jan 4-7, 2012, Boston, MA.
 * L. Kaganovskiy, M. Lowman, “Mathematical modeling of canopies for herbivory”, Ecological Society of America Annual Meeting, Aug 7-12, 2011, Austin, TX.
 * L. Kaganovskiy, “Applications of Matlab/CAS to Ecological Modeling”, Math Fest 2011, Aug 4-6, 2011, Lexington, KY.
 * M. Lowman and L. Kaganovskiy, poster presentation at the Environmental Education Summit: Environmental Education for a Sustainable World, Oct 14-16, 2010, Washington DC.
 * M. Lowman, C. Hart, L. Kaganovskiy, E. Hamman, A. Giraud, S. McManus, R. Tisdale, “An Exploration of Modeling the Spread of the Burmese Python, //Python mouru”,// Ecological Society of America Conference, Aug 1-6, 2010, Pittsburgh, PA (joint work with New College students).
 * L. Kaganovskiy, H. Feng, R. Krasny, "Numerical techniques for 3-D Vortex Rings Motion and Collision," Joint Mathematics Meeting, Jan 12-16, 2010, San Francisco, CA.
 * R. Krasny, L. Kaganovskiy, H. Feng, "Lagrangian Panel Method for Vortex Sheet Motion," 62nd Annual Meeting of the APS Division of Fluid Dynamics, Nov 22-23, 2009, Minneapolis, MN.
 * R. Krasny, L. Kaganovskiy, H. Feng, "Lagrangian Simulation of 3D Vortex Sheet Flows," Workshop on Vortex Dominated Flows, Jun 18-19, 2009, National Institute of Aerospace, Hampton, VA.
 * L. Kaganovskiy, H. Feng, R. Krasny, "Adaptive Quad-tree Surface Representation for 3-D Vortex Rings Motion and Collision," Joint Mathematics Meeting, Jan 5-8, 2009, WashingtonDC.
 * R. Krasny, L. Kaganovskiy, H. Feng, "Azimuthal Instability of a Vortex Ring Computed by Vortex Sheet Panel," 61st Annual Meeting of the APS Division of Fluid Dynamics, Nov 23-25, 2008, San AntonioTX.
 * R. Krasny, L. Kaganovskiy, H. Feng, "Lagrangian Panel Method for Vortex Sheet Motion in 3D Flow,"IUTAM Symposium Poster, Technical University of Denmark, Oct 12-16, 2008, Denmark
 * L. Kaganovskiy and M. Lowman, "ModelingForest Canopies for Herbivory and Entire Forest," Ecological Society of America Conference, Aug 3-8, 2008, Milwaukee, WI.
 * L. Kaganovskiy, "Extensions of Lotka-Volterra models in population dynamics," Math Fest, Jul 30, Aug 3, 2008, Madison, WI.
 * L. Kaganovskiy, "Azimuthal vortex ring instability computed by a vortex sheet panel method," Joint Mathematics Meeting, Jan 5-9, 2008, San Diego, CA.
 * L. Kaganovskiy and M. Lowman, "ModelingForest Canopies for Herbivory," Ecological Society of America Conference, Aug 6-10, 2007, San Jose, CA.
 * L. Kaganovskiy and R. Krasny, "Stability, Collision and Chaos in Vortex Rings,"American Physical Society, Division of Fluid Mechanics Conference, Nov 19-23, 2006, Tampa, FL.
 * L. Kaganovskiy and R. Krasny, "Stability, Head-on and Oblique Collision of Vortex Rings," American Physical Society, Division of Fluid Mechanics Conference, Nov 20-22, 2005, Chicago, IL.
 * L. Kaganovskiy and R. Krasny, "Oblique Collision of Vortex Rings," 3rd MIT Conference on Computational Fluid and Solid Mechanics, Jun 14-17, 2005, Boston, MA.
 * L. Kaganovskiy and R. Krasny, "Local Adaptive Tree-Based Quadrature And Point Insertion for 3-D Vortex Sheet Motion," 3rdSIAM Conference on Computational Science and Engineering, Feb 12-15, 2005, Orlando, FL.




 * Application of Vortex Rings: **
 * [| Vortices Behind Airplane Wings] **

Links: [| MAA] - Mathematical Association of America
 * Use of vortex rings in [| Aerodynamics of Explosive Detection Portals for Aviation Security Screening] **

[| AMS] - American Mathematical Society

[| SIAM] - Society of Applied and Industrial Mathematics

[| APS] - American Physics Society