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Edward Frenkel was born in Moscow, Soviet Union.
Answer: True
Explanation: Edward Frenkel was born in Moscow, Soviet Union. More specifically, he was born in Kolomna, which was part of the Soviet Union at the time.
Edward Frenkel's father was of Jewish descent, and his mother was of Russian descent.
Answer: True
Explanation: Edward Frenkel's father was of Jewish descent, and his mother was of Russian descent.
During high school, Edward Frenkel was initially more interested in quantum physics than mathematics.
Answer: True
Explanation: As a high school student, Edward Frenkel's initial academic interest was in quantum physics.
Edward Frenkel was initially admitted to Moscow State University but chose to attend Gubkin University of Oil and Gas instead.
Answer: False
Explanation: Edward Frenkel was not admitted to Moscow State University and subsequently enrolled in Gubkin University of Oil and Gas.
While at Gubkin University, Edward Frenkel attended seminars led by Israel Gelfand.
Answer: True
Explanation: During his studies at Gubkin University, Edward Frenkel attended seminars conducted by Israel Gelfand.
Edward Frenkel's parents were both mathematicians.
Answer: False
Explanation: Edward Frenkel's father was a mathematician, but the information does not state that his mother was also a mathematician.
Edward Frenkel studied mathematics privately with Boris Feigin during high school.
Answer: False
Explanation: Edward Frenkel studied mathematics privately with Evgeny Evgenievich Petrov during high school, not Boris Feigin.
Edward Frenkel is a Russian-American mathematician.
Answer: True
Explanation: Edward Frenkel is recognized as a Russian-American mathematician.
Which university did Edward Frenkel initially enroll in because he was not admitted to Moscow State University?
Answer: Gubkin University of Oil and Gas
Explanation: Edward Frenkel initially enrolled in the Gubkin University of Oil and Gas because he was not admitted to Moscow State University.
What was Edward Frenkel's initial interest during his high school years?
Answer: Quantum Physics
Explanation: During his high school years, Edward Frenkel's initial interest was in quantum physics.
Edward Frenkel's parents' ethnic backgrounds were:
Answer: Father Jewish, Mother Russian
Explanation: Edward Frenkel's father was of Jewish descent, and his mother was of Russian descent.
Edward Frenkel's primary research areas include representation theory, algebraic geometry, and mathematical physics.
Answer: True
Explanation: Edward Frenkel's principal fields of mathematical inquiry are representation theory, algebraic geometry, and mathematical physics.
Frenkel's recent mathematical work has primarily focused on number theory and graph theory.
Answer: False
Explanation: Frenkel's recent mathematical work has primarily focused on the Langlands program and its interconnections with representation theory, integrable systems, geometry, and physics, not number theory and graph theory.
Edward Frenkel's work is known for contributions to the Langlands program and algebraic geometry.
Answer: True
Explanation: Edward Frenkel is widely recognized for his significant contributions to the Langlands program and algebraic geometry.
What are Edward Frenkel's primary fields of mathematical research?
Answer: Representation Theory, Algebraic Geometry, and Mathematical Physics
Explanation: Edward Frenkel's primary research areas are representation theory, algebraic geometry, and mathematical physics.
Edward Frenkel's recent work primarily focuses on which major mathematical program?
Answer: The Langlands Program
Explanation: Edward Frenkel's recent mathematical work has primarily focused on the Langlands Program.
What does the 'Known for' field in the infobox primarily highlight about Edward Frenkel?
Answer: His contributions to the Langlands program
Explanation: The 'Known for' field in the infobox primarily highlights Edward Frenkel's significant contributions to the Langlands program.
Which of the following is NOT a field mentioned in relation to Edward Frenkel's primary research areas?
Answer: Number Theory
Explanation: Number Theory is not listed as one of Edward Frenkel's primary research areas, which include Representation Theory, Algebraic Geometry, and Mathematical Physics.
Edward Frenkel and Boris Feigin developed free field realizations of affine Kac-Moody algebras, also known as Wakimoto modules.
Answer: True
Explanation: Edward Frenkel and Boris Feigin jointly constructed the free field realizations of affine Kac-Moody algebras, which are also referred to as Wakimoto modules.
The 'Feigin-Frenkel center' is a concept related to the center of the universal enveloping algebra of a finite-dimensional Lie algebra.
Answer: False
Explanation: The source identifies the 'Feigin-Frenkel center' as a concept related to the center of the universal enveloping algebra of an affine Kac-Moody algebra, not a finite-dimensional Lie algebra.
Edward Frenkel collaborated with Nicolai Reshetikhin on q-characters for representations of quantum affine algebras.
Answer: True
Explanation: Edward Frenkel collaborated with Nicolai Reshetikhin on the definition of q-characters for representations of quantum affine algebras.
Edward Frenkel, Dennis Gaitsgory, and Kari Vilonen proved the geometric Langlands conjecture for GL(n).
Answer: True
Explanation: Edward Frenkel, in collaboration with Dennis Gaitsgory and Kari Vilonen, successfully proved the geometric Langlands conjecture for GL(n).
Edward Frenkel's work with Robert Langlands proposed a new approach to understanding functoriality of automorphic representations.
Answer: True
Explanation: Edward Frenkel's collaborative research with Robert Langlands introduced a novel methodology for comprehending the functoriality of automorphic representations.
Edward Frenkel explored connections between the geometric Langlands correspondence and string theory with Edward Witten.
Answer: True
Explanation: In collaboration with Edward Witten, Frenkel investigated the connections between the geometric Langlands correspondence and various dualities within quantum field theory, which includes aspects relevant to string theory.
The 'analytic Langlands correspondence' was introduced by Frenkel and Feigin.
Answer: False
Explanation: The analytic Langlands correspondence was introduced by Pavel Etingof, Edward Frenkel, and David Kazhdan, not solely by Frenkel and Feigin.
The 'geometric Langlands correspondence' uses techniques from algebraic geometry to link number theory and geometry.
Answer: True
Explanation: The geometric Langlands correspondence employs methods from algebraic geometry to establish connections between number theory and geometry.
The citation 'MR 2043750' refers to Frenkel's book 'Love and Math'.
Answer: False
Explanation: The citation 'MR 2043750' refers to the publication 'Recent Advances in the Langlands Program', not his book 'Love and Math'.
Edward Frenkel has made contributions to the theory of W-algebras.
Answer: True
Explanation: Edward Frenkel's work includes contributions to the theory of W-algebras, particularly in collaboration with Nicolai Reshetikhin.
The 'Feigin-Frenkel isomorphism' has been used by mathematicians like Beilinson and Drinfeld.
Answer: True
Explanation: The 'Feigin-Frenkel isomorphism' has been utilized by mathematicians such as Alexander Beilinson and Vladimir Drinfeld in their work on the geometric Langlands correspondence.
What mathematical concept did Edward Frenkel and Boris Feigin construct together?
Answer: Free field realizations of affine Kac-Moody algebras (Wakimoto modules)
Explanation: Edward Frenkel and Boris Feigin constructed the free field realizations of affine Kac-Moody algebras, also known as Wakimoto modules.
What is the 'Feigin-Frenkel center' related to?
Answer: The center of the universal enveloping algebra of an affine Kac-Moody algebra
Explanation: The Feigin-Frenkel center is related to the center of the universal enveloping algebra of an affine Kac-Moody algebra.
Which mathematician, alongside Nicolai Reshetikhin, is credited with introducing deformations of W-algebras and defining q-characters for representations of quantum affine algebras?
Answer: Edward Frenkel
Explanation: Edward Frenkel, in collaboration with Nicolai Reshetikhin, introduced deformations of W-algebras and defined q-characters for representations of quantum affine algebras.
Who were Frenkel's collaborators in proving the geometric Langlands conjecture for GL(n)?
Answer: Dennis Gaitsgory and Kari Vilonen
Explanation: Edward Frenkel, Dennis Gaitsgory, and Kari Vilonen proved the geometric Langlands conjecture for GL(n).
What is the 'analytic Langlands correspondence' framework, developed by Etingof, Frenkel, and Kazhdan, primarily concerned with?
Answer: Function-theoretic methods applied to the Langlands Program, especially for Riemann surfaces
Explanation: The analytic Langlands correspondence, developed by Etingof, Frenkel, and Kazhdan, primarily uses function-theoretic methods applied to the Langlands Program, particularly for Riemann surfaces.
The citation 'MR 2043750' in the publications list refers to which work?
Answer: The paper 'Recent Advances in the Langlands Program'
Explanation: The citation 'MR 2043750' refers to the publication 'Recent Advances in the Langlands Program'.
Who is credited alongside Frenkel for introducing the analytic Langlands correspondence?
Answer: Pavel Etingof and David Kazhdan
Explanation: Pavel Etingof and David Kazhdan are credited alongside Edward Frenkel for introducing the analytic Langlands correspondence.
What specific type of algebra is central to the work Frenkel did with Boris Feigin on Wakimoto modules?
Answer: Affine Kac-Moody Algebras
Explanation: Affine Kac-Moody algebras are central to the work Frenkel did with Boris Feigin on Wakimoto modules.
What is the significance of the 'Feigin-Frenkel isomorphism' mentioned in the text?
Answer: It has been used in work on the geometric Langlands correspondence.
Explanation: The 'Feigin-Frenkel isomorphism' has been used in work on the geometric Langlands correspondence by mathematicians such as Beilinson and Drinfeld.
Edward Frenkel currently holds a professorship at the University of Cambridge.
Answer: False
Explanation: Edward Frenkel holds a professorship at the University of California, Berkeley, not the University of Cambridge.
Edward Frenkel received his Ph.D. from Harvard University in 1991, advised by Boris Feigin and Joseph Bernstein.
Answer: True
Explanation: Edward Frenkel completed his Ph.D. at Harvard University in 1991, with Boris Feigin and Joseph Bernstein serving as his doctoral advisors.
After his Ph.D., Edward Frenkel became an associate professor at the University of California, Berkeley.
Answer: False
Explanation: Following his Ph.D. and a fellowship at Harvard, Edward Frenkel became an associate professor at Harvard University before moving to the University of California, Berkeley as a full professor.
David Ben-Zvi and Xinwen Zhu are listed as Edward Frenkel's doctoral students.
Answer: True
Explanation: David Ben-Zvi and Xinwen Zhu are identified as doctoral students mentored by Edward Frenkel.
Where did Edward Frenkel receive his Ph.D. in mathematics?
Answer: Harvard University
Explanation: Edward Frenkel received his Ph.D. in mathematics from Harvard University.
Who were Edward Frenkel's doctoral advisors at Harvard University?
Answer: Boris Feigin and Joseph Bernstein
Explanation: Edward Frenkel's doctoral advisors at Harvard University were Boris Feigin and Joseph Bernstein.
Who are listed as Edward Frenkel's doctoral students in the provided text?
Answer: David Ben-Zvi and Xinwen Zhu
Explanation: David Ben-Zvi and Xinwen Zhu are listed as Edward Frenkel's doctoral students.
Edward Frenkel's academic career includes a period as a Junior Fellow at which institution?
Answer: Harvard Society of Fellows
Explanation: Following his Ph.D. at Harvard, Edward Frenkel served as a Junior Fellow at the Harvard Society of Fellows from 1991 to 1994.
Edward Frenkel was the first recipient of the Hermann Weyl Prize in 2002.
Answer: True
Explanation: Edward Frenkel was indeed the inaugural recipient of the Hermann Weyl Prize in 2002.
Edward Frenkel received a Packard Fellowship for Science and Engineering in 1995.
Answer: True
Explanation: Edward Frenkel was awarded a Packard Fellowship for Science and Engineering in 1995.
Edward Frenkel was elected a fellow of the American Mathematical Society in 2014.
Answer: False
Explanation: Edward Frenkel was elected a fellow of the American Mathematical Society in 2013, not 2014.
Edward Frenkel was elected to the American Academy of Arts and Sciences in 2014.
Answer: True
Explanation: Edward Frenkel was elected to the American Academy of Arts and Sciences in 2014.
Edward Frenkel was the first recipient of which prestigious mathematics prize?
Answer: Hermann Weyl Prize
Explanation: Edward Frenkel was the first recipient of the Hermann Weyl Prize.
Which of the following is NOT listed as an honor received by Edward Frenkel?
Answer: MacArthur Fellowship
Explanation: While Edward Frenkel has received numerous honors including a Packard Fellowship, fellowship in the AMS, and a Chaire d'Excellence, a MacArthur Fellowship is not listed among them.
Edward Frenkel co-produced, co-directed, and starred in the short film 'Rites of Love and Math'.
Answer: True
Explanation: Edward Frenkel was involved in filmmaking as a co-producer, co-director, and star of the short film 'Rites of Love and Math'.
The film 'Rites of Love and Math' is a homage to a work by Fyodor Dostoevsky.
Answer: False
Explanation: The film 'Rites of Love and Math' is a homage to the work of Yukio Mishima, not Fyodor Dostoevsky.
'Rites of Love and Math' premiered at the Sitges International Film Festival.
Answer: False
Explanation: 'Rites of Love and Math' premiered in Paris, not at the Sitges International Film Festival.
Edward Frenkel's book 'Love and Math' was published in 2015.
Answer: False
Explanation: Edward Frenkel's book 'Love and Math: The Heart of Hidden Reality' was published in 2013, not 2015.
'Love and Math' became a New York Times bestseller and won the Euler Book Prize.
Answer: True
Explanation: Edward Frenkel's book 'Love and Math' achieved recognition as a New York Times bestseller and was awarded the Euler Book Prize.
Jim Holt described 'Love and Math' as a 'somber academic treatise' in The New York Review of Books.
Answer: False
Explanation: Jim Holt described 'Love and Math' as a 'winsome new memoir' in The New York Review of Books, not a 'somber academic treatise'.
Keith Devlin compared 'Love and Math' to classic Russian novels in his review.
Answer: True
Explanation: Keith Devlin compared 'Love and Math' to classic Russian novels, specifically referencing the 'Lara' poems within Boris Pasternak's 'Doctor Zhivago'.
Peter Woit's analysis suggests the 'Love' in the book title refers mainly to romantic love.
Answer: False
Explanation: Peter Woit's analysis indicates that the 'Love' in the book title primarily signifies a deep affection for mathematics, not romantic love.
Edward Frenkel's book 'Love and Math' has been translated into over 15 languages.
Answer: True
Explanation: Edward Frenkel's book 'Love and Math' has been translated into 19 languages, which is over 15.
The screening of 'Rites of Love and Math' in Berkeley was universally praised without any controversy.
Answer: False
Explanation: While the screening of 'Rites of Love and Math' in Berkeley occurred, the source indicates it generated some controversy, contrary to being universally praised without it.
Edward Frenkel's book 'Love and Math' was described as 'powerful, passionate and inspiring' by The New York Times.
Answer: True
Explanation: The New York Times review lauded 'Love and Math' with the descriptors 'powerful, passionate and inspiring'.
Edward Frenkel's book 'Love and Math' won the Euler Book Prize in 2013.
Answer: False
Explanation: Edward Frenkel's book 'Love and Math' won the Euler Book Prize in 2015, not 2013.
What is the title of Edward Frenkel's popular science book published in 2013?
Answer: Love and Math: The Heart of Hidden Reality
Explanation: Edward Frenkel's popular science book, published in 2013, is titled 'Love and Math: The Heart of Hidden Reality'.
Which award did Edward Frenkel's book 'Love and Math' win in 2015?
Answer: The Euler Book Prize
Explanation: Edward Frenkel's book 'Love and Math' won the Euler Book Prize in 2015.
The film 'Rites of Love and Math' is a homage to which filmmaker's work?
Answer: Yukio Mishima
Explanation: The film 'Rites of Love and Math' is a homage to the work of Yukio Mishima.
In which publication did Jim Holt describe 'Love and Math' as a 'winsome new memoir'?
Answer: The New York Review of Books
Explanation: Jim Holt described 'Love and Math' as a 'winsome new memoir' in The New York Review of Books.
Edward Frenkel's involvement in filmmaking includes co-producing and co-directing which short film?
Answer: Rites of Love and Math
Explanation: Edward Frenkel's filmmaking involvement includes co-producing and co-directing the short film 'Rites of Love and Math'.
How many languages has Edward Frenkel's book 'Love and Math' been translated into, as of July 2024?
Answer: 19
Explanation: As of July 2024, Edward Frenkel's book 'Love and Math' has been translated into 19 languages.
What was the nature of the controversy mentioned regarding the screening of 'Rites of Love and Math' in Berkeley?
Answer: The source provides no details about any controversy.
Explanation: The source mentions that the screening of 'Rites of Love and Math' in Berkeley caused controversy, but it does not specify the nature or details of this controversy.
Which description aligns with The New York Times' assessment of 'Love and Math'?
Answer: Powerful, passionate and inspiring
Explanation: The New York Times review lauded 'Love and Math' with the descriptors 'powerful, passionate and inspiring'.
The 'Authority control' section links to databases like ISNI and VIAF for unique identification.
Answer: True
Explanation: The 'Authority control' section provides links to databases such as ISNI and VIAF, which are used for the unique identification of individuals.