Laboratory for Geometrical and Quantitative Topology and Dynamics
About Laboratory
Grant Agreement No.: 14.Y26.31.0025
Project name: Geometrical and Quantitative Topology and Dynamics
Name of the institution of higher learning: Novosibirsk State University
Fields of scientific research: Mathematics
The theory of lowdimensional manifolds is an area of geometry and topology that is being actively developed in last decades. Among its modern directions are knot theory,
braid groups, link homology, hyperbolic manifolds, dynamics on surfaces, etc. Geometry and dynamics play a crucial role in solving many famous problems of lowdimensional
topology. It is widely known that deep theoretical results and methods from these pure mathematical areas found the fruitful applications in natural sciences and
technologies: new approaches in theoretical physics, topological properties of chemical compounds and DNA, hyperbolic structures on fullerenes, configuration spaces for
robotics. Combining robotics with nonEuclidean geometry will allow one to take into account relativistic effects in electronic equipment transmitting information through
artificial satellites of the Earth.
Leading scientist
Name: Kauffman Louis Hirsch

Academic degree and title: Ph.D.
Job Title: Professor Emeritus, Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago
Field of scientific interests: mathematics, theoretical physics, biophysics, cybernetics, low dimensional topology, geometry, topological invariants, geometrical methods in dynamics, topology in biophysics, modeling of chemical compound, knot theory, statistical mechanics, quantum theory, algebra, combinatorics and foundations
Scientific recognition:
1978  Lester R. Ford Award, Mathematical Association of America
1993  Warren McCulloch Award, American Society for Cybernetics
1996  Award of the Alternative Natural Philosophy Association
2014  Norbert Wiener Gold Medal, American Society for Cybernetics
2015  Lester R. Ford Award, Mathematical Association of America
2012  Fellow of the American Mathematical Society
Scientific work of the leading scientist, his/her main scientific achievements:
Fellow of the American Mathematical Society (elected in 2014).
Member of Mathematical Association of America and American Mathematical Society.
Member of American Society for Cybernetics (President, 20052008).
Polya Lecturer for the Mathematical Association of America (20082010).
EditorinChief and Founding Editor, Journal of Knot Theory and its Ramifications, World Scientific Publishers (1991present).
Editor of Book Series on Knots and Everything, World Scientific Publishers (1991present).
Associate Editor, Annals of Combinatorics.Member of the Editorial Board of the Journal – Cybernetics and Human Knowing (1995present, Kauffman also writes a column for this journal entitled ”Virtual Logic”).
Organizer of Workshop Invariants in LowDimensional Topology and Knot Theory at Mathematisches Research Institute Oberwolfach, Germany, June 2012.
Organizer of Workshop on Topological Quantum Computing, the University of Pisa and Centro di Georgi in Pisa, Italy, May 2011.
Director of Summer School and Conference on Knot Theory, The International Center for Theoretical Physics in Trieste, May 1129, 2009.
Kauffman L.H. Categorical pairs and the indicative shift 2012 Applied Mathematics and Computation
Kauffman L.H. Infinite computations and the generic finite 2015 Applied Mathematics and Computation
SchulteHerbruggen T., Marx R., Fahmy A., Kauffman L., Lomonaco S., Khaneja N., Glaser S.J. Control aspects of quantum computing using pure and mixed states 2012 Philosophical Transactions of the Royal Society AMathematical Physical and Engineering Sciences
Kauffman L.H. Following Knots Down Their Energy Gradients 2012 SymmetryBasel
Kauffman L.H., UlHaq R. The mysterious connection between mathematics and physics 2015 Progress in Biophysics & Molecular Biology