University of Illinois at Urbana-Champaign

Zoi Rapti
Assistant Professor

Department of Mathematics
University of Illinois at Urbana Champaign
1409 W. Green Street
Urbana, Illinois
61801, USA 		Office: 323 Illini Hall
Phone: (217) 333-6625
FAX: (217) 333-9576
e-mail: zrapti@illinois.edu

Research

My principal research interests lie in Differential Equations and Mathematical Biology. In Differential Equations , my work to date has been primarily concerned with the study of stability of solutions to nonlinear evolution equations and the study of the spectrum of certain perturbed linear Schrodinger Equations. In Mathematical Biology , I have been investigating the relation between the thermal denaturation profiles of DNA sequences and the location of promoters -- regions of DNA providing a control point for regulated gene transcription-- and other significant regulatory regions.

Mathematical Biology Seminar

Together with Lee DeVille we are organizing a seminar in Mathematical Biology . It meets every Thursday at 1pm in 345 Altgelt Hall.

Grants

NSF Grant DMS 0708421

Positions

Publications

  1. Rabi switch of condensate wave functions in a multicomponent Bose gas (with H. E. Nistazakis, D. J. Frantzeskakis, P. G. Kevrekidis, P. Sodano, and A. Trombettoni), Phys. Rev. A 78, 023635 (2008).

  2. Profiling the thermodynamic softness of adenoviral promoters (with Chu Hwan Choi, Vladimir Gelev, et. al.), Biophys. J. Vol. 95, 597-608 (2008).

  3. Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials (with P.G. Kevrekidis, V.V. Konotop, and C.K.R.T. Jones), J. Phys. A., 40, 14151-14163 (2007).

  4. Healing Length and Bubble Formation in DNA (with A. Smerzi, K.O. Rasmussen, A.R. Bishop, C.H. Choi and A. Usheva), Phys. Rev. E. Vol. 73, 051902 (2006).

  5. Lengthscales and Cooperativity in DNA Bubble Formation (with A. Smerzi, K.O. Rasmussen, A.R. Bishop, C.H. Choi and A. Usheva), Europhysics Letters, Vol. 74 (2006) 540-546.

  6. Modulational Instabilities for Nonlinear Schrodinger Equations With a Periodic Potential (with J. C. Bronski), Dynamics of PDE, Vol. 2 (2005) 335-355.

  7. Transient Radiative Behavior of Hamiltonian Systems in Finite Domains (with M.I. Weinstein and P.G. Kevrekidis), Physics Letters A, Vol. 345 (2005) 1-9.

  8. A Variational Approach to the Modulational Instability (with A. Smerzi, P.G. Kevrekidis and A.R. Bishop), Phys. Rev. E 69,017601 (2004).

  9. Modulational and Parametric Instabilities of the Discrete Nonlinear Schrodinger Equation (with P.G. Kevrekidis, A. Smerzi and A. R. Bishop), J. Phys. B: At. Mol. Opt. Phys. 37, (2004) S257-264.

  10. On the Modulational Instability of the Nonlinear Schrodinger Equation with Dissipation (with P.G. Kevrekidis, D.J. Frantzeskakis and B.A. Malomed), Phys. Scr. Vol. T 113, (2004) 74.

  11. Modulational Instability in Coupled Disrete Nonlinear Schrodinger Equations (with A. Trombettoni, P.G. Kevrekidis, D.J. Frantzeskakis, B.A. Malomed and A. R. Bishop), Physics Letters A Vol. 330, (2004) 95.

  12. Modulational Instability in Bose-Einstein Condensates under Feshbach Resonance Management (with G. Theocharis, P.G. Kevrekidis, D.J. Frantzeskakis and B.A. Malomed), Phys. Scr. Vol. T 107, (2004) 27.

  13. On the Modulational Stability of Gross-Pittaevskii Type Equations in 1+1 Dimensions (with G. Theocharis, P.G. Kevrekidis, D.J. Frantzeskakis and V.V. Konotop), Phys. Rev. A 67, 063610 (2003).

  14. On the Modulational Stability of Gross-Pittaevskii Type Equations in 1+1 Dimensions (with P.G. Kevrekidis and V.V. Konotop), Proceedings of the Third Conference on Localization and Energy Transfer in Nonlinear Systems, San Lorenzo de El Escorial Madrid, (2002).

  15. An Exterior Mixed Boundary Value Problem for the Helmholtz Equation (with K. Kiriaki), Bull. of the Greek Math. Soc. 45 (2001), 43-55.

Teaching

Fall 2009:
Math 553. Partial Differential Equations.
Math 181. A Mathematical World.
Spring 2009: Math 441. Differential Equations, Math 489. Differential Equations II.
Fall 2008: Math 285. Introduction to Differential Equations.
Spring 2008: Math 181. A Mathematical World.
Fall 2007: Math 385. Introduction to Differential Equations, Math 441. Differential Equations.
Spring 2007: Math 181. A Mathematical World (formerly Math 118).
Fall 2006:Math 118. A Mathematical World, Math 489. Differential Equations II.
Spring 2006: Math 230.Calculus II, Math 489. Differential Equations II.
Fall 2005: Math 230. Calculus II.