Project leader (financed by FWF-through the project P33107-N ), University of Vienna 07.2020-06.2023.
Project leader (financed by FWF-through the project P30878-N32), University of Vienna 07.2018-06.2020.
Project leader of the "Research in Teams" project "Hamiltonian approach to modeling geophysical waves and currents with impact on natural hazards":Erwin Schrödinger Institute for Mathematical Physics in Vienna: April, May, June 2017
Postdoctoral researcher, University College Cork, 07.2017-06.2018.
Assistant Professor (non-tenure track), University of Vienna, 10.2012-06.2017.
Scientific Colaborator, University of Vienna 07.2011-09.2012.
Hedrick Assistant Professor, UCLA, 07.2008-06.2011.
Scientific Colaborator, University of Potsdam, 01.2004-07.2008.
EducationUniversity of Potsdam, Potsdam, Germany
Ph.D., Mathematics, November 2006 ("summa cum laude")Babes-Bolyai University, Cluj-Napoca, Romania
M.A., Mathematics, June 2002 B.A., Mathematics, June 2001
Present ResearchNonlinear Partial Differential Equations with emphasis on the mathematical theory of traveling gravity, capillary and capillary-gravity water waves with vorticity. More precisely, I am interested in the following topics:
Local and global bifurcation results in the spirit of Crandall and Rabinowitz
Dispersion relations for water flows with a piecewise constant vorticity distribution
The problem of double and secondary bifurcation
Existence results for water flows with discontinuous vorticity function
Regularity of the streamlines and of the free surface
Past ResearchAnalysis on singular spaces
Regularity and asymptotics of solutions to elliptic equations
Hodge Theory for manifolds with corners
Conferences and TalksOperator Algebras on Manifolds with Singularities, Potsdam, March 2003
Bimestre Intensivo on PDE, Torino, Italy, May 2003
C*-Algebras and Elliptic Theory, Bedlewo, Poland, February 2004
German-Chinese Workshop on PDE, Weihai, China, March 2004
Degenerate PDE's and Singular Geometries, Potsdam, Germany, August 2004
German-Chinese Workshop on PDE, Clausthal-Zellerfeld, Germany, February 2006
Pseudodifferential Calculus with Singularities, and Applications to Quantum Chemistry, Potsdam, Germany, February 2006
ISAAC Workshop on Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis, Fields Institute, Toronto, December 2006
Oberseminar Globale Analysis, Bonn, Germany, October 2007
Partial Differential Equations and Analysis on Singular Spaces, Bonn, Germany, February, 2008.
Analysis and PDE Seminar-UCLA, Los Angeles, USA, November 2008.
Topics in Spectral and Scattering Theory-Penn State University, State College, USA, August 2010.
Mathematical Aspects of Water Waves- King's College , London, March 2012.
CIME Summer School ``Nonlinear Water Waves'', Centro Internazionale Matematico Estivo, Cetraro, Italy, June 2013.
Organized conferencesInternational Workshop/School Partial Differential Equations and Analysis on Singular Spaces
Jointly organized with M. Lesch (Bonn), D, Grieser (Oldenburg), B.-W. Schulze (Potsdam), I. Witt (G¨ottingen).
Bonn, February 11 - 15, 2008.
University of Potsdam, Teaching AssistantAnalysis I/Analysis II, 2003/2004 and 2006/2007
Taught students, responsible for: holding weekly exercise sessions for students; assigning homework; holding office hours; organizing and grading examinations.Analysis III (Lebesgue Integral), 2004/2005 and 2007/2008
Taught students, responsible for: holding weekly exercise sessions for students; assigning homework; holding office hours; organizing and grading examinations.Introduction to Partial Differential Equations, Spring 2006
Holding weekly exercise sessions for students, assigning homework and projects.Analysis on Manifolds with Singularities, Fall 2005 Distribution theory, Spring 2007 Ordinary Differential Equations, Fall 2007
Holding weekly lecture sessions for students, assigning homework.
Babes-Bolyai University, Teaching FellowAnalysis I, Fall 2001
Held weekly exercise sessions for students.