Carl Groos Jockusch Jr. | |
---|---|
Born | San Antonio, Texas, US | July 13, 1941
Spouse | Elizabeth A. Jockusch |
Scientific career | |
Thesis | Reducibilities in recursive function theory (1966) |
Doctoral advisor | Hartley Rogers Jr. |
Carl Groos Jockusch Jr. (born July 13, 1941, in San Antonio, Texas) is an American mathematician. [1] He graduated from Alamo Heights High School in 1959, attended Vanderbilt University in Nashville, Tennessee, and transferred to Swarthmore College, Pennsylvania in 1960, where he received his B.A. in 1963 with Highest Honors. [2] He then enrolled at the Massachusetts Institute of Technology. He is a member of Phi Beta Kappa and Sigma Xi. [3] In 2014, he became a Fellow of the American Mathematical Society. [4] He is a professor emeritus at the University of Illinois at Urbana–Champaign.
In 1972 Jockusch and Robert I. Soare proved the low basis theorem, an important result in mathematical logic with applications to recursion theory and reverse mathematics.
Claude Elwood Shannon was an American mathematician, electrical engineer, computer scientist, cryptographer and inventor known as the "father of information theory" and as the "father of the Information Age". Shannon was the first to describe the Boolean gates that are essential to all digital electronic circuits, and was one of the founding fathers of artificial intelligence. Shannon is credited with laying the foundations of the Information Age.
Robert Merton Solow, GCIH was an American economist and Nobel laureate whose work on the theory of economic growth culminated in the exogenous growth model named after him.
Elwyn Ralph Berlekamp was a professor of mathematics and computer science at the University of California, Berkeley. Berlekamp was widely known for his work in computer science, coding theory and combinatorial game theory.
Hartley Rogers Jr. was an American mathematician who worked in computability theory, and was a professor in the Mathematics Department of the Massachusetts Institute of Technology.
Michael Artin is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology Mathematics Department, known for his contributions to algebraic geometry.
Robert Irving Soare is an American mathematician. He is the Paul Snowden Russell Distinguished Service Professor of Mathematics and Computer Science at the University of Chicago, where he has been on the faculty since 1967. He proved, together with Carl Jockusch, the low basis theorem, and has done other work in mathematical logic, primarily in the area of computability theory. His doctoral students at the University of Chicago have included Barbara Csima.
George Lusztig is a Romanian-born American mathematician and Abdun Nur Professor at the Massachusetts Institute of Technology (MIT). He was a Norbert Wiener Professor in the Department of Mathematics from 1999 to 2009.
Gerald Enoch Sacks was an American logician whose most important contributions were in recursion theory. Named after him is Sacks forcing, a forcing notion based on perfect sets and the Sacks Density Theorem, which asserts that the partial order of the recursively enumerable Turing degrees is dense. Sacks had a joint appointment as a professor at the Massachusetts Institute of Technology and at Harvard University starting in 1972 and became emeritus at M.I.T. in 2006 and at Harvard in 2012.
John Werner Cahn was an American scientist and recipient of the 1998 National Medal of Science. Born in Cologne, Weimar Germany, he was a professor in the department of metallurgy at the Massachusetts Institute of Technology (MIT) from 1964 to 1978. From 1977, he held a position at the National Institute of Standards and Technology. Cahn had a profound influence on the course of materials research during his career. One of the foremost authorities on thermodynamics, Cahn applied the basic laws of thermodynamics to describe and predict a wide range of physical phenomena.
Jeffrey Clark Lagarias is a mathematician and professor at the University of Michigan.
Ernst Adolph Guillemin was an American electrical engineer and computer scientist at the Massachusetts Institute of Technology who spent his career extending the art and science of linear network analysis and synthesis. His nephew Victor Guillemin is a math professor at MIT, his nephew Robert Charles Guillemin was a sidewalk artist, his great-niece Karen Guillemin is a biology professor at the University of Oregon, and his granddaughter Mary Elizabeth Meyerand is a Medical Physics Professor at the University of Wisconsin-Madison.
David Alexander Vogan Jr. is a mathematician at the Massachusetts Institute of Technology who works on unitary representations of simple Lie groups.
Robert Duncan MacPherson is an American mathematician at the Institute for Advanced Study.
Steven Alan Orszag was an American mathematician.
In computability theory, a Π01 class is a subset of 2ω of a certain form. These classes are of interest as technical tools within recursion theory and effective descriptive set theory. They are also used in the application of recursion theory to other branches of mathematics.
Jacob Alexander Lurie is an American mathematician who is a professor at the Institute for Advanced Study. In 2014, Lurie received a MacArthur Fellowship. Lurie's research interests are algebraic geometry, topology, and homotopy theory.
Paul Seidel is a Swiss-Italian mathematician specializing in homological mirror symmetry. He is a faculty member at the Massachusetts Institute of Technology.
Kenneth Stephen Brown is a professor of mathematics emeritus who spent his career at Cornell University, working in category theory and cohomology theory as well as in buildings. Among other things, he is known for Ken Brown's lemma in the theory of model categories. He is also the author of the book Cohomology of Groups.
Peter Larkin Duren was an American mathematician. He specialized in mathematical analysis and was known for the monographs and textbooks he has written.
Michael Richard Edward Proctor is a British physicist, mathematician, and academic. He is Professor of Astrophysical Fluid Dynamics at the University of Cambridge and, since his election in 2013, the Provost of King's College, Cambridge and school governor at Eton College.