Speciality: 01.01.04 (Geometry and topology)
Phone: +7 (495) 939 37 98
Fax: +7 (495) 939 37 98
E-mail:
Keywords: knot, braid, rectangular diagram, Legendrian knot, discrete complex analysis, interval exchange map.
UDC: 515.16, 515.164.63, 515.162, 517.9
MSC: 57M25

Subject:

Low dimensional topology, dynamical systems, mathematical physics

Main publications:

1. P. Dehornoy, I. Dynnikov, D. Rolfsen, B. Wiest, Ordering braids, Mathematical Surveys and Monographs, 148, American Mathematical Society, Providence, RI, 2008, x+323 pp.    
2. I. Dynnikov, “Arc-presentations of links: monotonic simplification”, Fund. Math., 190 (2006), 29–76      
3. I. A. Dynnikov, “Konechno opredelennye gruppy i polugruppy v teorii uzlov”, Trudy MIAN, 231, 2000, 231–248      
4. I. A. Dynnikov, “Geometriya zon ustoichivosti v zadache S. P. Novikova o poluklassicheskom dvizhenii elektrona”, Uspekhi matematicheskikh nauk, 54:1 (1999), 21–60      
5. S. P. Novikov, I. A. Dynnikov, “Diskretnye spektralnye simmetrii malomernykh differentsialnykh operatorov i raznostnykh operatorov na pravilnykh reshetkakh i dvumernykh mnogoobraziyakh”, UMN, 52:5 (1997), 175–234      

Recent publications

Presentations in Math-Net.Ru

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Organisations:

• Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
• Steklov International Mathematical Center
• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
• Moscow Mathematical Society