Date of birth: 14th February 1970

Place of birth: Salgótarján, Hungary

Language skills: Hungarian (native), English, German

1976-1988: Elementary and secondary schools

1988-1989: Military service

1989-1995: Graduated as a physicist from the Faculty of Science, Eötvös University, Budapest, Hungary. The title of my diploma thesis is Spontaneous symmetry breaking of the SO(3) gauge theory to discrete subgroups, supervisor: Péter Bántay (Eötvös University).

In this work I successfully developed a technique, based on invariant and representation theory of Lie groups, to construct SO(3) Yang-Mills-Higgs Lagrangians for breaking the original gauge group to an arbitrary discrete subgroup fixed in advance. The results were published in [1].

1995-1998: Doctoral school at the Theoretical Physics Department, Eötvös University. Supervisor: Péter Bántay. In the fall of autumn of 1997 I visited the Mathematical Institute of Oxford University, Oxford, UK. During this period I wrote a second paper related with my doctoral thesis [3].

In 1997 we organized a Summer School titled Geometry and Physics in Óbánya, Hungary. I contributed with two lectures to the proceedings of this school [2] (in Hungarian).

Finally I summa cum laude defended my doctoral thesis titled The structure of the Yang-Mills vacuum over stationary space-times in February 1999.

1998-1999 and 2001-2003: Postdoctoral junior fellow at the Rényi Alfréd Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary.

1999-2001: JSPS postdoctoral fellow at the YITP, Kyoto University (Kyoto, Japan). Based on results of my PhD thesis I wrote several papers on the following subjects in this period:

• Yang--Mills (more precisely instanton) theory over various non-compact complete four-manifolds (including the Euclidean Schwarzschild space and A_k ALE and ALF gravitational instantons; these laters are hyper-Kähler spaces) as a joint work with Tamás Hausel (Oxford Univ., UK) [4] [5] [10] [12];
• Explicit construction of special holonomy manifolds [9];
• The vacuum structure of Yang-Mills theories over stationary asymptotically flat space-times and the initial value formulation of general relativity [7][8] [13];
• Computability theory over general relativistic space-times in collaboration with István Németi (Rényi Institute, Budapest, Hungary) [6] [11].

2003-2005: Assistant professor (lecturer) at the Department of Geometry, Institute of Mathematics, Budapest University of Technology and Economics (Hungary). Beyond educational duties, I was working on gravitational instantons [14].

2006: CNPq postdoctoral fellow at the IMECC, University of Campinas (Campinas, Brasil). I was working on the following topics:

• The gravitational interpretation of the Hitchin equations [15] which naturally fits into the scheme of a generalized AdS/CFT correspondence;
• As a joint work with Marcos Jardim (University of Campinas, Campinas, Brasil) we proved that moduli spaces of Yang--Mills instantons over ALF gravitational instantons form finite dimensional smooth manifolds and could compute their dimensions via a relative index theorem [16].

2007-2009: Assistant professor (lecturer) again at the Department of Geometry, Institute of Mathematics, Budapest University of Technology and Economics (Hungary). Using the theory of harmonic functions and twistors, a joint work with Szilárd Szabó (Rényi Institute, Budapest, Hungary) led to an explicit description of the simplest SU(2) instanton moduli space over the multi-Taub--NUT geometry. See the preprint here.

2009-: Associate professor (reader) at the Department of Geometry, Institute of Mathematics, Budapest University of Technology and Economics (Hungary).