Dr. Alice Mikikits-Leitner

Technische Universität München
Zentrum Mathematik - M7
Boltzmannstraße 3
85747 Garching

Room: 02.12.036
Phone: +49-89-289-17090
eMail: mikikitsma.tum.de

I am an FWF Erwin Schrödinger Fellow at the TU Munich.

Previously, I was working within the FWF START group "Spectral Analysis and Applications to Soliton Equations" headed by Gerald Teschl at the Faculty of Mathematics, University of Vienna.

Research

Reserch interests

My main reserch interests are within mathematical physics:

• nonlinear wave equations (mostly KdV equation)
• nonlinear discrete lattice systems (FPU lattices etc.)
• solutions of integrable systems of algebro-geometric (quasi-periodic), soliton, or rational type
• Riemann-Hilbert factorization problems, method of nonlinear steepest descent (long-time asymptotics of solutions)

Publications

• Mikikits-Leitner, A. and Teschl, G., Long-Time Asymptotics of Perturbed Finite-Gap Korteweg-de Vries Solutions, J. d'Analyse Math. 116, 163-218 (2012). PDF - arXiv:1008.3698
• 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. PDF - arXiv:0902.3917
• Mikikits-Leitner, A., Sepiol, B., Leitner, M., Cieslak, J., and Dubiel, S. M., Nucleation mechanism of the σ-to-α phase transition in Fe_1-xCr_x, Phys. Rev. B 82, 100101(R) (2010). PDF

Theses

• Mikikits-Leitner, A., Long-Time Asymptotics for the Asymptotically Periodic Korteweg-de Vries Equation, PhD thesis (mathematics), University of Vienna, 2009. PDF
• Mikikits-Leitner, A., Investigation of the σ-to-α-phase transition in FeCr, diploma thesis (physics), University of Vienna, 2009. PDF
• Mikikits-Leitner, A., Functional Analytic Methods for Hyperbolic Partial Differential Operators, diploma thesis (mathematics), University of Vienna, 2007. PDF

Talks

• 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.

Curriculum Vitae

Education

2009	Dr. rer. nat. (mathematics)
2007 - 2009	PhD studies in mathematics at the University of Vienna
2009	Mag. rer. nat. (physics)
2004 - 2009	undergraduate studies at the Faculty of Physics, University of Vienna
2007	Mag. rer. nat. (mathematics)
2002- 2007	undergraduate studies at the Faculty of Mathematics, University of Vienna
2002	Matura (school leaving examination)
1994 - 2002	Bundesrealgymnasium, Vienna

Positions

09/2011 - 09/2013	FWF Erwin Schrödinger Fellow supported by the FWF project J3143 "Quasi-periodic waves in Fermi-Pasta-Ulam lattices", Department of Mathematics, TU Munich
09/2010 - 06/2011	External lecturer, University of Applied Sciences, Vienna (FH Technikum Wien)
10/2010 - 03/2011	Research Assistant supported by the FWF project P20767 "Dynamics in thin films", Faculty of Physics, University of Vienna
12/2009 - 09/2010	Maternity leave
09/2007 - 12/2009	Research Assistant supported by the FWF START project Y330 "Spectral Analysis and Applications to Soliton Equations", Faculty of Mathematics, University of Vienna
03/2008 - 06/2008	Teaching Assistant (Tutor), University of Natural Resources and Applied Life Sciences (Boku), Vienna
03/2007 - 02/2008	Teaching Assistant (Tutor), Faculty of Mathematics, University of Vienna

Research grants

2011 -2013

Erwin Schrödinger Fellowship of the FWF Austrian Science Fund

Teaching

At the moment I am involved in the Call 09 project "Blended Learning für Mathematik in der Studieneingangsphase" at the FH Technikum Wien sponsored by the city government of Vienna.

Summer Term 2011

• Mathematik 2 für den Bachelor-Studiengang Internationales Wirtschaftsingenieurwesen, FH Technikum Wien
• Aufbaukurs Mathematik als Vorbereitung für die Qualifikationsprüfung, FH Technikum Wien

Winter Term 2010/11

• Ingenieurwissenschaftliche Mathematik für den Masterstudiengang Mechatronik/Robotik, FH Technikum Wien
• Mathematik 1 für den Bachelor-Studiengang Internationales Wirtschaftsingenieurwesen, FH Technikum Wien
• Technische Mathematik 1 Übungen für den Bachelor-Studiengang Sports Equipment Technology, FH Technikum Wien

Summer 2010

• Warm-Up Kurs Mathematik, FH Technikum Wien

Summer 2008

• Warm-Up Kurs Mathematik, FH Technikum Wien

Summer Term 2008

• Mathematik I für Umwelt- und Bio-Ressourcenmanagement (UBRM), Universität für Bodenkultur Wien (Boku)

Winter Term 2007/08

• Repetitorium zu Lineare Algebra und Geometrie 2, Universität Wien

Summer Term 2007

• Repetitorium zu Lineare Algebra und Geometrie 1, Universität wien