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Anatoly T. Fomenko is a full member (Academician) of the Russian Academy of Sciences (1994), the Russian Academy of Natural Sciences (1991), the International Higher Education Academy of Sciences (1993) and Russian Academy of Technological Sciences (2009), as well as a doctor of physics and mathematics (1972), a professor (1980), and head of the Differential Geometry and Applications Department of the Faculty of Mathematics and Mechanics in Moscow State University (1992). Fomenko is the author of the theory of topological invariants of integrable Hamiltonian system. He is the author of 180 scientific publications, 26 monographs and textbooks on mathematics, a specialist in geometry and topology, variational calculus, symplectic topology, Hamiltonian geometry and mechanics, and computer geometry. Fomenko is also the author of a number of books on the development of new empirico-statistical methods and their application to the analysis of historical chronicles as well as the chronology of antiquity and the Middle Ages.
Fomenko is the author of extensive writings in his original fields of mathematics, and is also known for his original drawings inspired by topological objects and structures.
Historical revisionism[edit]
Fomenko is a supporter of drastically revising historical chronology. He has created his own revision called New Chronology, based on statistical correlations, dating of zodiacs, and by examining the mathematics and astronomy involved in chronology. Fomenko claims that he has discovered that many historical events do not correspond mathematically with the dates they are supposed to have occurred on. He asserts from this that all of ancient history (including the history of Greece, Rome, and Egypt) is just a reflection of events that occurred in the Middle Ages and that all of Chinese and Arab history are fabrications of 17th and 18th century Jesuits.
A.T. Fomenko Differential Geometry and Topology Plenum Publishing Corporation. 1987. USA, Consultants Bureau, New York and London.^{[5]}
A.T. Fomenko Variational Principles of Topology. Multidimensional Minimal Surface Theory. Kluwer Academic Publishers, The Netherlands, 1990.^{[6]}
A.T. Fomenko Topological variational problems. – Gordon and Breach, 1991.
A.T. Fomenko Integrability and Nonintegrability in Geometry and Mechanics. Kluwer Academic Publishers, The Netherlands, 1988.
A.T. Fomenko The Plateau Problem (vols. 1, 2). Gordon and Breach, 1990. (Studies in the Development of Modern Mathematics.)
A.T. Fomenko Symplectic Geometry. Methods and Applications. Gordon and Breach, 1988. Second edition 1995.
A.T. Fomenko, Dao Chong Thi Minimal surfaces and Plateau problem. USA, American Mathematical Society, 1991.
A.T. Fomenko, V. V. Trofimov Integrable Systems on Lie Algebras and Symmetric Spaces. Gordon and Breach, 1987.
A.T. Fomenko, A.A.Tuzhilin Geometry of Minimal Surfaces in Three-Dimensional Space. USA, American Mathematical Society. In: Translation of Mathematical Monographs. vol.93, 1991.
A.T. Fomenko Topological Classification of Integrable Systems. Advances in Soviet Mathematics, vol. 6. USA, American Mathematical Society, 1991.
A.T. Fomenko Tensor and Vector Analysis: Geometry, Mechanics and Physics. – Taylor and Francis, 1988.
A.T. Fomenko Visual geometry and topology. Springer-Verlag, 1994.^{[7]}
A.T. Fomenko, S.V.Matveev Algorithmic and Computer Methods for Three-Manifolds. Kluwer Academic Publishers, The Netherlands, 1997.
B. A. Dubrovin, S. P. Novikov, A.T. Fomenko Modern Geometry. Methods and Applications. Springer-Verlag, GTM 93, Part 1, 1984;^{[8]} GTM 104, Part 2, 1985.^{[9]} Part 3, 1990, GTM 124.
A.T. Fomenko, S. P. Novikov The basic elements of differential geometry and topology. Kluwer Acad. Publishers, The Netherlands, 1990.
A.T. Fomenko, A. V. Bolsinov Integrable Hamiltonian Systems: Geometry, Topology, Classification. Taylor and Francis, 2003.
A.T. Fomenko, V. V Kalashnikov., G. V. NosovskyGeometrical and Statistical Methods of Analysis of Star Configurations. Dating Ptolemy's Almagest. – CRC-Press, USA, 1993.
A.T. Fomenko New Methods of Statistical Analysis of Historical Texts. Applications to Chronology. Antiquity in the Middle Ages. Greek and Bible History. Vols.1, 2, 3. – Edwin Mellen Press. USA. Lewiston. Queenston. Lampeter, 1999.
Fomenko A.T. «Antiquity in the Middle Ages. Greek and Bible History»,— USA, Lewiston, Queenston, Lampeter: The Edwin Mellen Press, (Scholarly Monographs in the Russian Language), 1999
Fomenko A.T. «Some new empirico–statistical methods of dating and the analysis of present global chronology»,— London: The British Library, Department of printed books. Cup. 918/87, 1981