Positions

Project leader--''Resonances and coupling of surface and internal water waves"-(financed by FWF-through the project P33107-N ), University of Vienna 07.2020-06.2023.
Project leader--''Resonant interactions of water waves with vorticity"-(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.
Assistant, University of Vienna 07.2011-09.2012.
Hedrick Assistant Professor, UCLA, 07.2008-06.2011.
Assistant, University of Potsdam, 01.2004-07.2008.

Education

University 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

Research Interests

Present Research

Nonlinear 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 Research

Analysis on singular spaces
Regularity and asymptotics of solutions to elliptic equations
Hodge Theory for manifolds with corners

Conferences and Talks

Conference in Honor of the 60th Birthday of Joachim Escher, Leibniz University Hannover, June 2023.

Workshop-``Mathematics of Sea-Ice in the Twenty-First Century'', Isaac Newton Institute, Cambridge, September 2022.

SIAM Conference on Analysis of PDEs, Berlin, March, 2022.

Oberseminar Analysis und Theoretische Physik, Leibniz University Hannover, Hannover, May 2021.

Minisymposium of the German Mathematical Society-``Nonlinear Evolution Equations and Applications'', Karlsruhe Institute of Technology, September 2019.

Conference Equadiff 2019, Leiden University, Leiden, July 2019.

Conference Microlocal and Global Analysis, Interactions with Geometry, University of Potsdam, March 2019.

Research Seminar, School of Engineering at Trinity College Dublin, September 2018.

Summer School ``Waves in flows'', Prague, August 2018.

Oberseminar Analysis und Theoretische Physik, Leibniz University Hannover, Hannover, May 2017.

Conference Water Wave Dynamics, University of Vienna, Vienna, June 2015.

International Conference on Nonlinear Operators and Differential Equations and Applications, Cluj-Napoca, Romania, July, 2015.

CIME Summer School ``Nonlinear Water Waves'', Centro Internazionale Matematico Estivo, Cetraro, Italy, June 2013.

Mathematical Aspects of Water Waves- King's College , London, March 2012.

Topics in Spectral and Scattering Theory-Penn State University, State College, USA, August 2010.

Analysis and PDE Seminar-UCLA, Los Angeles, USA, November 2008.

Partial Differential Equations and Analysis on Singular Spaces, Bonn, Germany, February, 2008.

Oberseminar Globale Analysis, Bonn, Germany, October 2007

ISAAC Workshop on Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis, Fields Institute, Toronto, December 2006

Pseudodifferential Calculus with Singularities, and Applications to Quantum Chemistry, Potsdam, Germany, February 2006.

German-Chinese Workshop on PDE, Clausthal-Zellerfeld, Germany, February 2006.

Degenerate PDE's and Singular Geometries, Potsdam, Germany, August 2004.

German-Chinese Workshop on PDE, Weihai, China, March 2004.

C*-Algebras and Elliptic Theory, Bedlewo, Poland, February 2004.

Bimestre Intensivo on PDE, Torino, Italy, May 2003. Operator Algebras on Manifolds with Singularities, Potsdam, March 2003.

Organized conferences

International 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 (Göttingen).
Bonn, February 11 - 15, 2008.

Fellowships and Awards

Project director of the project ``Nonlinear Studies of Stratified Oceanic and Atmospheric Flows''. Funded by the European Union through the program ``NextGenerationEU". To be carried out from 01.07.2023 to 30.06.2026 at Babes-Bolyai University, Cluj-Napoca, Romania.

Principal investigator of the project ``Resonances and coupling of surface and internal water waves''. Funded by the Austrian Science Fund (FWF): July 2020--June 2023.

Principal investigator of the project ``Resonant interactions of water waves with vorticity''. Funded by the Austrian Science Fund (FWF): July 2018--June 2020.

Principal investigator of the ``Research in Teams'' project ``Hamiltonian approach to modelling of geophysical waves and currents with impact on natural hazards''-financed by the Erwin Schrödinger Institute for Mathematical Physics (ESI) in Vienna: carried out in April, May and June 2017 at ESI.

Research Fellowship, Max-Planck Institute for Mathematics in the Sciences, Leipzig: 2008-2009

DAAD Scolarship, University of Potsdam, 2002-2003