In mathematics, p-adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p-adic numbers.
Edward Nelson was an American mathematician. He was professor in the Mathematics Department at Princeton University. He was known for his work on mathematical physics and mathematical logic. In mathematical logic, he was noted especially for his internal set theory, and views on ultrafinitism and the consistency of arithmetic. In philosophy of mathematics he advocated the view of formalism rather than platonism or intuitionism. He also wrote on the relationship between religion and mathematics.
In mathematics, the Lie product formula, named for Sophus Lie (1875), but also widely called the Trotter product formula, named after Hale Trotter, states that for arbitrary m × m real or complex matrices A and B, where eA denotes the matrix exponential of A. The Lie–Trotter product formula and the Trotter–Kato theorem extend this to certain unbounded linear operators A and B.
Abraham Robinson's theory of nonstandard analysis has been applied in a number of fields.
Friedrich "Fritz" Gesztesy is a well-known Austrian-American mathematical physicist and Professor of Mathematics at Baylor University, known for his important contributions in spectral theory, functional analysis, nonrelativistic quantum mechanics, ordinary and partial differential operators, and completely integrable systems. He has authored more than 300 publications on mathematics and physics.
Jan Raphael Høegh-Krohn was a Norwegian mathematician.
Matilde Marcolli is an Italian and American mathematical physicist. She has conducted research work in areas of mathematics and theoretical physics; obtained the Heinz Maier-Leibnitz-Preis of the Deutsche Forschungsgemeinschaft, and the Sofia Kovalevskaya Award of the Alexander von Humboldt Foundation. Marcolli has authored and edited numerous books in the field. She is currently the Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences at the California Institute of Technology.
Philippe Blanchard has been a Professor of Mathematical Physics at Faculty of Physics, Bielefeld University since 1980. He is both director of the Research Center BiBoS and deputy managing director of the Center for Interdisciplinary Research at Bielefeld University.
Michael Röckner is a mathematician working in the fields of Stochastic analysis and Mathematical Physics.
Robert C. Hermann was an American mathematician and mathematical physicist. In the 1960s Hermann worked on elementary particle physics and quantum field theory, and published books which revealed the interconnections between vector bundles on Riemannian manifolds and gauge theory in physics, before these interconnections became "common knowledge" among physicists in the 1970s.
Robin Lyth Hudson was a British mathematician notable for his contribution to quantum probability.
Kalyan Bidhan Sinha is an Indian mathematician. He is a professor at the Jawaharlal Nehru Centre for Advanced Scientific Research, and Professor Emeritus for life of the Indian Statistical Institute.
Jürgen Jost is a German mathematician specializing in geometry. He has been a director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 1996.
Yuri Kondratiev was a Ukrainian mathematician and a professor at the Bielefeld University in Germany.
The Breakthrough Prize in Mathematics is an annual award of the Breakthrough Prize series announced in 2013.
Stanislav Alexeyevich Molchanov is a Soviet and American mathematician.
Ambar Niel Sengupta is an Indian-American mathematician. He is a professor of mathematics at the University of Connecticut.
Dmitry (Dima) Ioffe was an Israeli mathematician, specializing in probability theory.
Vladimir Igorevich Bogachev is an eminent Russian mathematician and Full Professor of the Department of Mechanics and Mathematics of the Lomonosov Moscow State University. He is an expert in measure theory, probability theory, infinite-dimensional analysis and partial differential equations arising in mathematical physics. His research was distinguished by several awards including the medal and the prize of the Academy of Sciences of the Soviet Union (1990); Award of the Japan Society for the Promotion of Science (2000); the Doob Lecture of the Bernoulli Society (2017); and the Kolmogorov Prize of the Russian Academy of Sciences (2018).
