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Research:

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Mathematical physics  symmetries of partial differential equations, classification of Lie subalgebras, Knowledge of derivatives and derivative markets including foreign exchange, fixed income

Publications:

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D. Levi, C. Scimiterna, Z. Thomova and P. Winternitz: Contact transformations for difference schemes, Journal of Physics A Mathematical and Theoretical; 45(2) (2012)
D. Levi, Z. Thomova, P. Winternitz: Are there contact transformation for discrete equations?, Journal of Physics A Mathematical and Theoretical; 44(26) (2011)
E.G. Kalnins, Z. Thomova and P. Winternitz: Subgroup Type Coordinates and the Separation of Variables in HamiltonJacobi and Schrodinger Equations, Nonlin. Math. Physics, 12, 178208 (2005)
Z. Thomova and P.Winternitz, Separation of Variables and Darboux Transformations, CRM Proceedings and Lecture Notes, 20, 419427 (2001)
Z. Thomova and P. Winternitz: Maximal Abelian Subalgebras of the Pseudoeuclidean Lie Algebras, it Lin. Alg. Appl., 291, 245274, (1999)
Z. Thomova, P. Winternitz and W.J. Zakrzewski: Solutions of (2+1)dimensional Spin System, J.Math.Phys., 39, 39273944 (1998)

Projects:

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Mathematics Awarness: Mathematics education prior to College ï¿½ instructor in the Mathematics Institutes for Middle School and High School teachers, Summer camps for children aged 1015. In last two years the emphasis was on Math/Science camps for girls only.
Mathematical Physics: Symmetries of differential equations, Integrability and superintegrability; Separation of variables, Classification of Lie subalgebras
Finance: Finacial derivatives  their characteristics, pricing and their use as hedging instruments, Derivatives markets, FX markets, Fixed income markets

Presentations:

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Mathematics: its beauty, applications and why it is all interesting (audience: general)
Financial mathematics: financial derivatives and their applications (audience: general, financial professionals, college)
Introductory Number Theory: applications to communication security (encryption); Numbers, their properties and our knowledge of them (audience: general, college)
Mathematical Physics: symmetries of differential equations, separation of variables (audience: college, research), observation of simple symmetries in nature  discrete to continuous (audience: general, college)

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