Carl Jockusch

{{Short description|American mathematician (born 1941)}} {{Use mdy dates|date=July 2025}} {{Infobox scientist | name = Carl Groos Jockusch Jr. | native_name = | native_name_lang = | image = Carl Jockusch.jpg | image_size = 220px | alt = | caption = Carl Jockusch in 1974 | birth_date = {{birth date |1941|07|13}} | birth_place = San Antonio, Texas, US | death_date =  | death_place = | death_cause = | resting_place = | resting_place_coordinates =  | other_names = | residence = | citizenship = | nationality = | fields = | workplaces = | patrons = | alma_mater = Swarthmore College (BA) Massachusetts Institute of Technology (PhD) | thesis_title = Reducibilities in recursive function theory | thesis_url = https://web.archive.org/web/20140911194745/http://mit.dspace.org/bitstream/handle/1721.1/37495/25784744.pdf?sequence=1 | thesis_year = 1966 | doctoral_advisor = Hartley Rogers Jr. | academic_advisors = | doctoral_students = | notable_students = | known_for = | influences = | influenced = | awards = | author_abbrev_bot = | author_abbrev_zoo = | spouse = Elizabeth A. Jockusch | partner =  | children = | signature =  | signature_alt = | website =  | footnotes = }} '''Carl Groos Jockusch Jr.''' (born July 13, 1941, in San Antonio, Texas) is an American mathematician.<ref>{{Cite book|url=https://books.google.com/books?id=vNg2MSisppMC&q=Carl+Groos+Jockusch+1941|title=Who's Who in the Midwest, 1994-1995|date=March 9, 1994|publisher=Marquis Who's Who, LLC|via=Google Books|page=382 |isbn=978-0-8379-0724-6 }}</ref> He graduated from Alamo Heights High School in 1959, attended Vanderbilt University in Nashville, Tennessee, and transferred to Swarthmore College in Pennsylvania in 1960, where he received his B.A. in 1963 with highest honors.<ref>{{Cite web |url=https://faculty.math.illinois.edu/~jockusch/ |title=Carl G. Jockusch's Home Page |access-date=May 11, 2019 |archive-date=May 11, 2019 |archive-url=https://web.archive.org/web/20190511020609/https://faculty.math.illinois.edu/~jockusch/ |url-status=dead }}</ref> He then enrolled at the Massachusetts Institute of Technology. He is a member of Phi Beta Kappa and Sigma Xi.<ref>Bibliographical note in his PhD thesis (Jockusch, 1966), p.104</ref> In 2014, he became a Fellow of the American Mathematical Society.<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society] {{Webarchive|url=https://web.archive.org/web/20180825194636/http://www.ams.org/profession/fellows-list |date=August 25, 2018 }}, retrieved 2014-12-17</ref> 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.

==See also== * Jockusch–Soare forcing * Semi-membership

==References== {{Reflist}} * {{citation | last1 = Jockusch Jr | first1 = C.G. | last2 = Soare | first2 = R.I. | year = 1972 | title = Π01 Classes and Degrees of Theories | journal = Transactions of the American Mathematical Society | volume = 173 | pages = 33–56 | doi = 10.2307/1996261 | jstor = 1996261 | publisher = American Mathematical Society }} * {{cite thesis | author=Carl Groos Jockusch Jr. | title=Reducibilities in recursive function theory | institution = Massachusetts Institute of Technology | url=http://mit.dspace.org/bitstream/handle/1721.1/37495/25784744.pdf?sequence=1 | archive-url=https://web.archive.org/web/20140911194745/http://mit.dspace.org/bitstream/handle/1721.1/37495/25784744.pdf?sequence=1 | url-status=dead | archive-date=2014-09-11 |date=Jun 1966 }}

== External links == * [https://math.illinois.edu/directory/profile/cjockusc Professional homepage] * {{MathGenealogy|id=4621}}

{{DEFAULTSORT:Jockusch, Carl}} Category:20th-century American mathematicians Category:21st-century American mathematicians Category:University of Illinois Urbana-Champaign faculty Category:Living people Category:Place of birth missing (living people) Category:1941 births Category:Fellows of the American Mathematical Society Category:Massachusetts Institute of Technology alumni Category:Swarthmore College alumni Category:Vanderbilt University alumni