- mathematical physics
- Korteweg-de Vries (KdV) equation
- Algebro-geometric (quasi periodic) solutions
- Long-time asymptotics of solutions
- Riemann-Hilbert factorization problems, method of nonlinear steepest descent

- (experimental) solid state physics
- phase transitions
- Mößbauer spectroscopy

- Mikikits-Leitner, A. and Teschl, G.,
*Long-Time Asymptotics of Perturbed Finite-Gap Korteweg-de Vries Solutions*, J. d'Analyse Math. (accepted). TeX - DVI - PDF - arXiv:1008.3698 - Mikikits-Leitner, A., Sepiol, B., Leitner, M., Cieslak, J., and Dubiel, S. M.,
*Nucleation mechanism of the σ-to-α phase transition in Fe*, Phys. Rev. B_{1-x}Cr_{x}**82**, 100101(R) (2010). PDF - Mikikits-Leitner, A. and Teschl, G.,
*Trace formulas for Schrödinger operators in connection with scattering theory for finite-gap backgrounds*, in Spectral Theory and Analysis, J. Janas (ed.) et al., 107-124, Oper. Theory Adv. Appl.**214**, Birkhäuser, Basel, 2011. TeX - DVI - PDF - arXiv:0902.3917

- Mikikits-Leitner, A.,
*Long-Time Asymptotics for the Asymptotically Periodic Korteweg-de Vries Equation*, PhD thesis (mathematics), University of Vienna, 2009. DVI - PS - PDF

- Mikikits-Leitner, A.,
*Investigation of the σ-to-α-phase transition in FeCr*, diploma thesis (physics), University of Vienna, 2009. DVI - PS - PDF - Mikikits-Leitner, A.,
*Functional Analytic Methods for Hyperbolic Partial Differential Operators*, diploma thesis (mathematics), University of Vienna, 2007. DVI - PS - PDF

*Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions*, ESF/EMS/ERCOM conference on*Completely Integrable Systems and Applications*, ESI, Vienna, July 7, 2011.- Thesis defense, Faculty of Mathematics, University of Vienna, December 4, 2009.
*Stability of the periodic Korteweg-de Vries equation*, ÖMG/DMV-Congress, Graz, September 25, 2009.*Almost everything you ever wanted to know about the Korteweg-de Vries equation*, Colloquium for Master and PhD students, University of Vienna, May 29, 2008.

Email: alice.mikikits-leitner@univie.ac.at