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Katalin Marton (b. 1941, at the Institute since 1974) Doctor of Science (1999). After working on problems in information theory and some related problems in combinatorics and ergodic theory, her current recent interest is mainly in measure concentration.  
József Merza (b. 1932, at the Institute from 1967, retired since 1993) His research interest was in classical differential geometry. He served as managing editor of the Institute’s proceedings Studia Scientiarium Mathematicarum Hungarica for decades and also as head of the library, where he is still active today.  
 Dezső Miklós (1957, at the Institute since 1982, deputy director since 1996). His main areas of research are combinatorics (extremal set theory, algebraic combinatorics) and the combinatorial structure of databases. A very active organizer, editor of several volumes.  
Zsigmond Nagy (b. 1950, at the Institute since 1975) He has achieved significant results in general and settheoretic topology, in particular concerning the theory of function spaces.   

Tibor Nemetz (b. 1941, at the Institute since 1969) Doctor of Science (1996)  
András Némethi (b. 1959, at the Institute since 2004) Doctor of Science (2001) A wellknown expert on singularities of complex algebraic varieties. Continuing the program initiated by M. Artin and Laufer, he has obtained deep results in the classification of normal surface singularities by studying both algebrogeometric and topological invariants.  
 István Németi (b. 1942, at the Institute since 1976) Doctor of Science (1987) His main areas of interest are logic, algebraic logic, theoretical computer science, and relativity theory. He has obtained fundamental results about cylindric algebras and relation algebras, solved several famous problems raised by Tarski and created a school in algebraic logic at the Institute. Author of the monograph Cylindic set algebras (jointly with Andréka, Henkin, Monk and Tarski).  
János Pach (b. 1954, at the Institute since 1977) Doctor of Science (1996), Academy Award (1998) His main fields of interest are discrete and computational geometry, convexity and combinatorics. He is a recognized expert in geometric graph theory and author of the influential book Combinatorial Geometry (jointly with Pankaj Agarwal). Besides being a prolific researcher, he has a number of students around the world. Apart from his position at the Institute, he is also a professor at the Courant Institute, New York.
  
Dénes Petz (b. 1953, at the Institute between 1982 and 1992 and from 2004) Doctor of Science (1989) His fields of research are functional analysis and the mathematical foundations of quantum theory. Author of two monographs: Quantum Entropy and its Use (with M. Ohya, Springer, 1993) and The Semicircle Law, Free Random Variables and Entropy (with F. Hiai, AMS, 2000).   
 János Pintz (b. 1950, at the Institute since 1977) Doctor of Science (1984). An internationally recognized expert in analytic number theory, he has achieved important results concerning the distribution of prime numbers and the Goldbach conjectures.  
László Pyber (b. 1960, at the Institute since 1987) Doctor of Science (1998), Erdős Prize (1996). Invited speaker of the 1996 European Congress of Mathematics. His main interest lies in asymptotic group theory. He has determined the asymptotic value of the number of nelement groups. Recently, he has been successful in studying residual properties of groups and the subgroup growth problem (jointly with Lubotzky, Shalev and others).   
Lídia Rejtő (b. 1946, at the Institute since 1969)
 
Szilárd Révész (b. 1958, at the Institute since 1990) He began his mathematical research by investigating problems related to the distribution of prime numbers. Later, his interest shifted to approximation theory, in particular inequalities and extremal problems.   
 Imre Z. Ruzsa (b. 1953, at the Institute since 1976) Corresponding member of the Academy, Academy Award (1995), Erdős Prize (1989). He is a leading expert in additive number theory and has basic results in applying probabilistic methods in number theory. Together with Gábor Székely, he has also developed a semigroup theoretic method in proving limit theorems for probability distributions.  
Ildikó Sain (b. 1951, at the Institute since 1982) Her main research interest lies in model theory, algebraic logic and universal algebra. Recently, she has been interested in finitizable algebraization of firstorder logic.   
Attila Sali (b. 1959, at the Institute since 1984) He has been working in several areas of combinatorics, including extremal and algebraic combinatorics, database theory and graph theory.  
Miklós Simonovits (b. 1943, at the Institute since 1986) Corresponding member of the Academy, Academy Award (1993).   
 Gábor Simonyi (b. 1963, at the Institute since 1989) His main research activity blends information theory and graph theory; in particular, he is an expert on graph entropy.  
Lajos Soukup (b. 1958, at the Institute since 1986) His main field of interest is set theory, in particular independence results in settheoretic topology. His work with S. Shelah in set theory and the theory of Boolean algebras is also widely known.  
András Stipsicz (b. 1966, at the Institute since 2002) He is a wellknown expert in symplectic topology, with a main focus on 4manifolds. Together with R. Gompf, he wrote the important advanced textbook 4Manifolds and Kirby Calculus (AMS, 2000).  
József Szabados (b. 1938, at the Institute since 1968) Doctor of Science, Academy Award (1982). His field of interest is approximation theory; in particular interpolation and weighted polynomial approximation in various spaces. He wrote the monograph Interpolation of Functions (jointly with P. Vértesi). He has been managing and editing the journal Acta Mathematica Hungarica since 1962.
  
 Endre Szabó (b. 1964, at the Institute since 1996) His main interest is in algebraic geometry, where he has achieved significant results concerning rationally connected varieties and automorphism groups of varieties.  
Tamás Szamuely (b. 1971, at the Institute since 1998; scientific secretary, 2001–2004) He is interested in wideranging topics in algebraic and arithmetic geometry, including algebraic cycles, motives, fundamental groups and geometric aspects of class field theory. Speaker at the Bourbaki Seminar in June 2003.  
 Domokos Szász (b. 1941, at the Institute since 1971; Director, 1993–1995), Member of the Academy, Academy Award (1984). Though he began his career as a probability theorist, he is best known as the founder of the internationally renowned Hungarian statistical physics school. Starting from equilibrium statistical physics, he turned to the theory of billiards, and in particular the Boltzmann ergodic hypothesis. Together with Ya. G. Sinai, he achieved the first breakthrough in the mathematical foundation of the hypothesis.  
Endre Szemerédi (b. 1940, at the Institute since 1965) Member of the Academy, Academy Award (1979), Erdős Prize (1977). His profound results in number theory and combinatorics are widely used and have a significant impact on research. He showed that any sequence of integers with positive density contains arithmetical progressions of arbitrary length, thereby solving a famous problem of Erdős and Turán. His most influential result in combinatorics is the socalled regularity lemma.
  
 Gábor Székely J. (b. 1947, at the Institute since ???) Doctor of Science (1986) His main areas of interest are algebraic probability theory and nonparametric statistical tests. He is the author of Paradoxes in probability theory and mathematical statistics (1986) as well as Algebraic probability theory (with Imre Z. Ruzsa, 1988). He is currently on leave from the Institute.  
Ágnes Szilárd (b. 19??, at the Institute since 2003; scientific secretary from 2004) She is interested in computing invariants for singularities of complex algebraic varieties.  
 Gábor Tardos (b. 1964, at the Institute since ???) Prize of the First European Congress of Mathematics, Erdős Prize (1999). Invited speaker at the Second European Congress of Mathematics. His main areas are complexity theory and combinatorics. He has achieved profound results about firstorder statements on random graphs and an important breakthrough towards the Hanna Neumann conjecture concerning subgroups of free groups.  
Vera T. Sós (b. 1930, at the Institute since 1987) Member of the Academy, Academy Award (1983), Foreign member of the Austrian Academy of Sciences, Széchenyi Award (1997) She is one of the founders of the Hungarian school in combinatorics. Her other main research area is number theory, especially diophantine approximation and uniform distribution. In combinatorics, she has achieved important results on pseudorandom structures and extremal problems.
  
Géza Tóth (b. 1968, at the Institute since 2001) He has obtained significant results in discrete and combinatorial geometry, with a main focus on geometric aspects of Ramsey theory.  
Gábor Tusnády (b. 1941, at the Institute since 1965) Member of the Academy, Erdős Prize (1981). The basic goal of his work is building and investigating stochastic models. He has achieved significant results in statistical problems connected with genetics and cancer research and has created interdisciplinary research groups around his projects.    
 Péter Vértesi (b. 1941, at the Institute since 1975) Doctor of Science (1982), Academy Award (2002) He works in approximation theory, especially interpolation theory. His most significant result is the almost everywhere divergence theorem of Lagrange interpolation (joint work with P. Erdős). Together with J. Szabados, he wrote the book Interpolation of Functions.   