In mathematics, topology is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself.
Solomon Lefschetz was an American mathematician who did fundamental work on algebraic topology, its applications to algebraic geometry, and the theory of non-linear ordinary differential equations.
Sergei Petrovich Novikov is a Soviet and Russian mathematician, noted for work in both algebraic topology and soliton theory. In 1970, he won the Fields Medal.
Anatoly Timofeevich Fomenko is a Soviet and Russian conspiracy theorist, mathematician, professor at Moscow State University, well-known as a topologist, and a member of the Russian Academy of Sciences. He is the author of a fictitious pseudoscientific history known as New Chronology, based on works of Russian-Soviet writer Nikolai Alexandrovich Morozov. He is also a member of the Russian Academy of Natural Sciences (1991).
Mathematical chemistry is the area of research engaged in novel applications of mathematics to chemistry; it concerns itself principally with the mathematical modeling of chemical phenomena. Mathematical chemistry has also sometimes been called computer chemistry, but should not be confused with computational chemistry.
Mathai Varghese is a mathematician at the University of Adelaide. His first most influential contribution is the Mathai–Quillen formalism, which he formulated together with Daniel Quillen, and which has since found applications in index theory and topological quantum field theory. He was appointed a full professor in 2006. He was appointed Director of the Institute for Geometry and its Applications in 2009. In 2011, he was elected a Fellow of the Australian Academy of Science. In 2013, he was appointed the Elder Professor of Mathematics at the University of Adelaide, and was elected a Fellow of the Royal Society of South Australia. In 2017, he was awarded an ARC Australian Laureate Fellowship. In 2021, he was awarded the prestigious Hannan Medal and Lecture from the Australian Academy of Science, recognizing an outstanding career in Mathematics. In 2021, he was also awarded the prestigious George Szekeres Medal which is the Australian Mathematical Society’s most prestigious medal, recognising research achievement and an outstanding record of promoting and supporting the discipline.
Geometry & Topology is a peer-refereed, international mathematics research journal devoted to geometry and topology, and their applications. It is currently based at the University of Warwick, United Kingdom, and published by Mathematical Sciences Publishers, a nonprofit academic publishing organisation.
Mary Ellen Rudin was an American mathematician known for her work in set-theoretic topology. In 2013, Elsevier established the Mary Ellen Rudin Young Researcher Award, which is awarded annually to a young researcher, mainly in fields adjacent to general topology.
Proceedings of the American Mathematical Society is a monthly peer-reviewed scientific journal of mathematics published by the American Mathematical Society. As a requirement, all articles must be at most 15 printed pages.
Herbert Kenneth Kunen was a professor of mathematics at the University of Wisconsin–Madison who worked in set theory and its applications to various areas of mathematics, such as set-theoretic topology and measure theory. He also worked on non-associative algebraic systems, such as loops, and used computer software, such as the Otter theorem prover, to derive theorems in these areas.
Yakov Matveevich Eliashberg is an American mathematician who was born in Leningrad, USSR.
The International Journal of Geometric Methods in Modern Physics is a peer-reviewed journal, published by World Scientific, covering mathematical physics. It was originally published bimonthly beginning in January 2004; as of 2006 it appears 8 times a year. Editorial policy for the journal specifies that "The journal publishes short communications, research and review articles devoted to the application of geometric methods to quantum field theory, non-perturbative quantum gravity, string and brane theory, quantum mechanics, semi-classical approximations in quantum theory, quantum thermodynamics and statistical physics, quantum computation and control theory."
The Journal of Differential Geometry is a peer-reviewed scientific journal of mathematics published by International Press on behalf of Lehigh University in 3 volumes of 3 issues each per year. The journal publishes an annual supplement in book form called Surveys in Differential Geometry. It covers differential geometry and related subjects such as differential equations, mathematical physics, algebraic geometry, and geometric topology. The editor-in-chief is Shing-Tung Yau of Harvard University.
Andreu Mas-Colell is an economist, an expert in microeconomics and a prominent mathematical economist. He is the founder of the Barcelona Graduate School of Economics and a professor in the department of economics at Pompeu Fabra University in Barcelona, Catalonia, Spain. He has also served several times in the cabinet of the Catalan government. Summarizing his and others' research in general equilibrium theory, his monograph gave a thorough exposition of research using differential topology. His textbook on microeconomics, co-authored with Michael Whinston and Jerry Green, is the most used graduate microeconomics textbook in the world.
Homology, Homotopy and Applications is a peer-reviewed delayed open access mathematics journal published by International Press. It was established in 1999 and covers research on algebraic topology. The journal "Homology, Homotopy and Applications" has been founded in 1998 by Hvedri Inassaridze, Head of the Algebra Department of A. Razmadze Mathematical Institute of the Georgian Academy of Sciences, Professor of Tbilisi State University, Georgia. The journal is indexed by Mathematical Reviews and Zentralblatt MATH. Its 2011 MCQ was 0.55, and according to the Journal Citation Reports, the journal had a 2015 impact factor of 0.486, with a 5-year impact factor for that year of 0.654.
James Dugundji was an American mathematician, a professor of mathematics at the University of Southern California.
The Journal of Geometry and Physics is a scientific journal in mathematical physics. Its scope is to stimulate the interaction between geometry and physics by publishing primary research and review articles which are of common interest to practitioners in both fields. The journal is published by Elsevier since 1984.
Oh Yong-Geun is a mathematician and distinguished professor at the Pohang University of Science and Technology and founding director of the IBS Center for Geometry and Physics located on that campus. His fields of study have been on symplectic topology, Floer homology, Hamiltonian mechanics, and mirror symmetry He was in the inaugural class of fellows of the American Mathematical Society and has been a member of Institute for Advanced Study, Korean Mathematical Society, and National Academy of Sciences of the Republic of Korea and is on the editorial boards of Journal of Gokova Geometry and Topology and Journal of Mathematics of Kyoto University.
