Professional resume of Tibor Ódor

I was born on 28 May 1963 in Győr, Hungary. I finished my grammar schools in the Révai Miklós Gimnázium, [Révai Grammar School],  Győr in 1981 where I attended special math classes having the possibility to learn from the distinguished mathematics teacher Endre Czapáry. After finishing my secondary education I served one year in the Magyar Néphadsereg [Hungarian army].

Since Sept 1982 I attended one year at Jozsef Attila University, Szeged, (recently reorganized as part of University of Szeged) was majoring in mathematics.

I received my diploma in mathematics at the Eötvös Lóránd University, Budapest, Hungary in 1987. Some of my teachers were: Ákos Császár (analysis), Gábor Halász (complex functions), Vera T. Sós (approximation theory), Miklós Laczkovich (geometric measure theory), László Lempert (several complex vaiables), László Simon (PDE), Tamás Matolcsy (mathematical physics), Zoltán I. Szabó (differential geometry), etc.

The supervisor of my diploma work was the distinguished differential geometer, Zoltan Imre Szabó, those times Department of Analysis, Eötvös Lóránd University, Budapest, Hungary, recently at City University of New York. I wrote it with the title (in Hungarian): ``A Radon transzformació és alkalmazásai'' [The Radon transform and its applications].

During the last two years of my university education I also worked as a full time computer programmer on mainframe computers at RÁBA Magyar Vagon es Gépgyár, Győr, Hungary.

After the university I spent one year in the Mathematical Institute of the Hungarian Academy of Sciences (recently renamed to Alfréd Rényi Institute of Mathematics) under the supervision of Gábor Halász and Vera T. Sós (both members of the Hungarian Academy of Sciences). The topic of my research was the theory of modular forms and scattering theory of automorphic functions mainly from integral geometric and number theoretical point of view.

In September 1988 I received a three year long scholarship from the Hungarian Academy of Sciences to prepare my Ph.D. dissertation under the administrative supervision of Károly Bezdek, Dept of Geometry, Eötvös University, Budapest, Hungary. During the time of scholarship I constantly consulted with Zoltán Imre Szabó, Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Hungary and City University of New York, New York, USA who were abroad in those times.

After the scholarship, I have received a three years long fellowship in the Geometry Group of the Mathematical Institute of the Hungarian Academy of Sciences in September 1991.

I spent eleven months at the Dept. of Discrete Mathematics, Universitat Trier [University of Trier], Germany from 1 October 1991 to 1 September 1992 where I worked together with Peter Gritzmann on convex geometry (computational convexity).

From 1 September 1992 to 28 February 1995 I continued my work in the Mathematical Institute.

Meanwhile I spent a semester from 1 September to 22 December, 1994 in the School of Engineering, Department of Computer Science, City College of the City University of New York, New York, USA where I worked together with János Pach on computational geometric problems.

From 1 March, 1995 I am working at Department of Geometry, Bolyai Institute, University of Szeged, Hungary.

I participated in a TEMPUS project for learning and developing the Computer Algebra system GAP at Lehrsthul D für Math, RWTH Aachen, Germany in the period 2 Jan.-31 Jan., 1996.

I received my Ph.D. from the Hungarian Academy of Sciences in 23 May, 1995. The title of my Ph.D. dissertation: ``Rekonstrukciós, karakterizációs és extrémum problemák a geometriában'', [Reconstruction, Characterization and Extreme Problems in Geometry].

I have received the Austrian government scholarship ``Action Österreich'' for two months, and a research fellowship for one month at Abteilung fur Analysis, Technische Universitat Wien [Technical University of Vienna], Austria with my host Peter M. Gruber (member of the Österreichische Akademie der Wissenschaften [Austrian Academy of Sciences]) from 1 March - 1 July, 1996 except April. We worked together on characterizations of ellipsoids by their visual angles, and published a joint paper on the subject.

From April 1997 to March 1999 I received the Japanese Government Scholarship (MONBUSHO Scholarship) at Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan. I studied the Pompeiu problem with my host Toshiyuki Kobayashi who is recently at RIMS, Kyoto University.

I successfully completed the goal of this scholarship. I settled the longstanding Pompeiu problem (and its equivalent form, the Schiffer conjecture) in the affirmative. So far an UTMS preprint, ``The solution of the Pompeiu problem and the Schiffer conjecture'' was issued and the paper is under the reviewing process.

From Jan 11, 2000 to Jan 10 2002 for two years I received the JSPS fellowship (Japan Society for the Promotion of Science - [Nihon Gakushin]) at  Graduate School of Mathematical Sciences [] The University of Tokyo, [ - Tokyo Dai-gaku] Tokyo, Japan. I studied the Auslander conjecture in group theory.

On July 1, 2001 I was appointed to Associate Professor at  Department of Geometry, Bolyai Institute, University of Szeged, Hungary.

My main areas of interest are integral geometry, convexity, group theory, quasicrystals and complexity theory. I am especially interested in reconstructing convex, or general sets, functions from their Radon or other integral transforms. I also work in Kolmogorov / computational complexity theory and as an application, in cryptography and physics.

I speak, read and write English on upper intermediate level. I can read mathematical texts in Russian, German and French. I speak German and Japanese on a basic level. I am familiar with the Windows and Unix / Linux computing and internet environment, the language C, C++, pseudo code, Fortran, PL/I and several other programming and computer algebra, theorem prover and proof checker languages.

I am the inventor of  the universal program encryption (UPE) protocol. All rights belong to Tamper-Proof Verified Systems (TPVS).

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