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SINGULARITY STUDIES

  • Singularity studies
  • Field of Research

    policy studies. Ongoing debates question the predictive value of singularity scenarios and warn against a deterministic view of technology. Singularity studies

    Singularity studies

    Singularity_studies

  • Technological singularity
  • Hypothetical event

    The technological singularity, often simply called the singularity, is a hypothetical event in which technological growth accelerates beyond human control

    Technological singularity

    Technological_singularity

  • Singularity theory
  • Mathematical theory

    In mathematics, singularity theory studies spaces that are almost manifolds, but not quite. A string can serve as an example of a one-dimensional manifold

    Singularity theory

    Singularity_theory

  • BKL singularity
  • General relativity model near spacetime singularities

    relativity has a page on the topic of: BKL singularity A Belinski–Khalatnikov–Lifshitz (BKL) singularity is a model of the dynamic evolution of the universe

    BKL singularity

    BKL singularity

    BKL_singularity

  • Naked singularity
  • Hypothetical phenomenon

    In general relativity, a naked singularity is a hypothetical gravitational singularity without an event horizon. When there exists at least one causal

    Naked singularity

    Naked_singularity

  • Singularity Group
  • American business consultancy company

    Singularity Education Group (using the public names Singularity Group, Singularity University or SingularityU) is an American company that offers executive

    Singularity Group

    Singularity_Group

  • Shock singularity
  • Null singularity inside black holes

    the shock singularity, also called the shockwave singularity, the Marolf-Ori singularity, or the outflying singularity, is a null singularity propagating

    Shock singularity

    Shock_singularity

  • Ring singularity
  • Gravitational singularity of a rotating black hole

    A ring singularity or ringularity is the gravitational singularity of a rotating black hole, or a Kerr black hole, that is shaped like a ring. When a

    Ring singularity

    Ring_singularity

  • Singular they
  • Gender-neutral English pronoun

    example from 2008 in an article in the journal Women's Studies Quarterly. As of 2020, singular they is the most popular pronoun set used by non-binary

    Singular they

    Singular they

    Singular_they

  • Singularity Sky
  • 2003 science fiction novel by Charles Stross

    Fools. Singularity Sky takes place roughly in the early 23rd century, around 150 years after an event referred to by the characters as the Singularity. Shortly

    Singularity Sky

    Singularity_Sky

  • Singularity Rising
  • Book by James D. Miller

    associated with the technological singularity, including cognitive enhancement and AI. Miller, James D. (2012-10-16). Singularity Rising: Surviving and Thriving

    Singularity Rising

    Singularity_Rising

  • Ray Kurzweil
  • American computer scientist, author and futurist (born 1948)

    book, The Singularity Is Nearer: When We Merge with AI, was published in 2024. In 2010, Kurzweil wrote and co-produced the film The Singularity Is Near:

    Ray Kurzweil

    Ray Kurzweil

    Ray_Kurzweil

  • Canonical singularity
  • Singularities of algebraic varieties

    (1985) and Reid. In particular, a terminal 3-fold singularity is the quotient of a hypersurface singularity with multiplicity 2 by a finite cyclic group.

    Canonical singularity

    Canonical_singularity

  • Machine Intelligence Research Institute
  • Nonprofit AI safety organization

    Retrieved August 28, 2018. "Press release: Singularity University Acquires the Singularity Summitt". Singularity University. 9 December 2012. Archived from

    Machine Intelligence Research Institute

    Machine_Intelligence_Research_Institute

  • Singular matrix
  • Square matrix without an inverse

    quantum mechanics, signal processing, and more) for dealing with singularity. Today, singular matrices are a canonical subject in linear algebra: they delineate

    Singular matrix

    Singular matrix

    Singular_matrix

  • Schwarzschild metric
  • Solution to the Einstein field equations

    Schwarzschild metric has a singularity for r = 0, which is an intrinsic curvature singularity. It also seems to have a singularity on the event horizon r

    Schwarzschild metric

    Schwarzschild_metric

  • Milnor number
  • Invariant that plays a role in algebraic geometry and singularity theory

    hypersurface singularity. Assume it is an isolated singularity: in the case of holomorphic mappings it is said that a hypersurface singularity f {\displaystyle

    Milnor number

    Milnor_number

  • Regular singular point
  • Concept in differential equation mathematics

    coefficients are analytic functions, and singular points, at which some coefficient has a singularity. Then amongst singular points, an important distinction

    Regular singular point

    Regular_singular_point

  • Legal singularity
  • Hypothetical future with AI-designed laws

    Law Computable? From Rule of Law to Legal Singularity". SSRN 3589184. Cobbe, Jennifer (2020). "Legal Singularity and the Reflexivity of Law". In Simon Deakin;

    Legal singularity

    Legal_singularity

  • Outline of futures studies
  • Overview of and topical guide to futures studies

    as an overview of and topical guide to futures studies: Futures studies (also called futurology) – study of postulating possible, probable, and preferable

    Outline of futures studies

    Outline_of_futures_studies

  • Singular integral
  • Functions in harmonic analysis mathematics

    \mathbb {R} ^{n}\to \mathbb {R} } is singular along the diagonal x = y {\displaystyle x=y} . Specifically, the singularity is such that | K ( x , y ) | {\displaystyle

    Singular integral

    Singular_integral

  • Media studies
  • Field of study that deals with media

    Media studies is a discipline and field of study that deals with the content, history, and effects of various media; in particular, the mass media. Media

    Media studies

    Media studies

    Media_studies

  • Optical vortex
  • Optical phenomenon

    An optical vortex (also known as an optical phase singularity, photonic quantum vortex, or screw dislocation) is a zero of an optical field; a point of

    Optical vortex

    Optical vortex

    Optical_vortex

  • Singularitarianism
  • Belief in an incipient technological singularity

    that the singularity benefits humans. Singularitarians are distinguished from other futurists who speculate on a technological singularity by their belief

    Singularitarianism

    Singularitarianism

  • Singular point of an algebraic variety
  • Point without a tangent space

    multiplicity two and the tangent cone is not singular outside its vertex. Milnor map Resolution of singularities Singularity theory Zariski tangent space Hartshorne

    Singular point of an algebraic variety

    Singular point of an algebraic variety

    Singular_point_of_an_algebraic_variety

  • Irakal
  • 1985 Indian film

    13 June 2021. "Start the week with a film: KG George's 'Irakal' is a singular study of a psycho". Scroll. 25 September 2023. Kamalanayanan, Sreejith (17

    Irakal

    Irakal

  • Salim Ismail
  • Indo-Canadian serial entrepreneur, angel investor and author

    "Singularity University: Infinite, In All Directions". Wired. Retrieved 9 March 2026. Rowan, David (4 April 2013). "Spin-offs from the Singularity".

    Salim Ismail

    Salim_Ismail

  • Singular value decomposition
  • Matrix decomposition

    there is a universal constant that characterizes the regularity or singularity of a problem, which is the system's "condition number" ⁠ κ = σ max /

    Singular value decomposition

    Singular value decomposition

    Singular_value_decomposition

  • Ben Goertzel
  • American computer scientist and AI researcher

    custom version of evolutionary programming. The 2012 documentary The Singularity by independent filmmaker Doug Wolens discussed Goertzel's views on AGI

    Ben Goertzel

    Ben Goertzel

    Ben_Goertzel

  • Singular homology
  • Concept in algebraic topology

    In algebraic topology, singular homology refers to the study of a certain set of algebraic invariants of a topological space X {\displaystyle X} , the

    Singular homology

    Singular_homology

  • Singular value
  • Square roots of the eigenvalues of the self-adjoint operator A* A

    theorem Schur–Horn theorem Singular value decomposition Tao, Terence (2012). Topics in random matrix theory. Graduate studies in mathematics. Providence

    Singular value

    Singular value

    Singular_value

  • The Metamorphosis of Prime Intellect
  • 1994 novel by Roger Williams

    idea of a technological singularity. Roger Williams started writing The Metamorphosis of Prime Intellect in 1982, while studying at college. After writing

    The Metamorphosis of Prime Intellect

    The_Metamorphosis_of_Prime_Intellect

  • Accelerating change
  • Increase in the rate of technological change through history

    century, leading to a singularity. Kurzweil elaborates on his views in his books The Age of Spiritual Machines and The Singularity Is Near. In the natural

    Accelerating change

    Accelerating_change

  • Resolution of singularities
  • Concept in algebraic geometry

    does not is given by the isolated singularity of x2 + y3z + z3 = 0 at the origin. Blowing it up gives the singularity x2 + y2z + yz3 = 0. It is not immediately

    Resolution of singularities

    Resolution of singularities

    Resolution_of_singularities

  • Singularity (systems theory)
  • Topic in systems theory

    System relatedness: the effects of a singularity are characteristic of the system. Uniqueness: The nature of a singularity does not arise from the scale of

    Singularity (systems theory)

    Singularity_(systems_theory)

  • Complex analysis
  • Branch of mathematics studying functions of a complex variable

    applicable (see methods of contour integration). A "pole" (or isolated singularity) of a function is a point where the function's value becomes unbounded

    Complex analysis

    Complex analysis

    Complex_analysis

  • Grammatical person
  • Grammatical category

    first-, second-, and third-person pronouns are typically also marked for singular and plural forms, and sometimes dual form as well (grammatical number)

    Grammatical person

    Grammatical_person

  • Omega Point
  • Theoretical future event

    arguing that a big crunch/ final singularity is still required under many current universal models. The technological singularity is the hypothetical advent

    Omega Point

    Omega_Point

  • List of futurologists
  • Futures studies influencers

    suggestive, not definitive. Notable futurologists include: Futures studies Outline of futures studies World Future Society Introduction to Social Macrodynamics:

    List of futurologists

    List_of_futurologists

  • Milnor map
  • hypersurface singularity. This has a similar setup, where a polynomial f {\displaystyle f} with f = 0 {\displaystyle f=0} having a singularity at the origin

    Milnor map

    Milnor_map

  • Cerf theory
  • Study of smooth real-valued functions on manifold and their singularities

    In mathematics, at the junction of singularity theory and differential topology, Cerf theory is the study of families of smooth real-valued functions f

    Cerf theory

    Cerf_theory

  • Virtual Immortality – God, Evolution, and the Singularity in Post- and Transhumanism
  • 2021 book by Oliver Krüger

    Virtual Immortality – God, Evolution, and the Singularity in Post- and Transhumanism is a study by German religious scholar Oliver Krüger. Krüger traces

    Virtual Immortality – God, Evolution, and the Singularity in Post- and Transhumanism

    Virtual_Immortality_–_God,_Evolution,_and_the_Singularity_in_Post-_and_Transhumanism

  • Larger than Life (novel)
  • 1960 novel by Dino Buzzati

    Larger than Life, also translated as The Singularity (Italian: Il grande ritratto), is a 1960 novel by the Italian writer Dino Buzzati. It tells the story

    Larger than Life (novel)

    Larger_than_Life_(novel)

  • Max More
  • English-American philosopher and futurist

    introduced the term "transhumanism" in its modern sense. FM-2030 Futures studies Humanity+ He legally changed his name in 1990. Alex Heard, "Technology

    Max More

    Max More

    Max_More

  • José Luis Cordeiro
  • Venezuelan engineer, economist, futurist, and transhumanist

    with machines". As a teaching fellow of the Singularity University, he stated that "the purpose of Singularity University is to prepare humankind for this

    José Luis Cordeiro

    José Luis Cordeiro

    José_Luis_Cordeiro

  • MIS
  • Topics referred to by the same term

    syndrome, a class of medical conditions Mass-inflation singularity, a type of weak null singularity inside black holes Maritime Internet Services Inc. Military

    MIS

    MIS

  • The
  • Definite article in English

    English. The is the most frequently used word in the English language; studies and analyses of texts have found it to account for seven percent of all

    The

    The

    The

  • Myrmidons
  • Mythological soldiers commanded by Achilles in Homer's Iliad

    Jeffreys, Elizabeth; Croke, Brian (1990). Studies in John Malalas. Australian Association for Byzantine Studies, Department of Modern Greek, University

    Myrmidons

    Myrmidons

    Myrmidons

  • Black hole cosmology
  • Cosmological model in which the observable universe is the interior of a black hole

    a white hole. Rather than a Big Bang starting from a singularity, there is instead a non-singular Big Bounce, at which the Universe had a non-zero, minimum

    Black hole cosmology

    Black hole cosmology

    Black_hole_cosmology

  • Superintelligence
  • Hypothetical agent surpassing human intelligence

    or may not result from an intelligence explosion or a technological singularity. Some researchers believe that superintelligence will likely follow shortly

    Superintelligence

    Superintelligence

  • Nick Bostrom
  • Philosopher and writer (born 1973)

    Nick (1998). "How Long Before Superintelligence?". Journal of Future Studies. 2. — (January 2000). "Observer-relative chances in anthropic reasoning

    Nick Bostrom

    Nick Bostrom

    Nick_Bostrom

  • Black hole
  • Compact astronomical body

    hole would create a so-called naked singularity, a singularity outside of a black hole. Because these singularities make the universe inherently unpredictable

    Black hole

    Black hole

    Black_hole

  • Ribbon knot
  • Type of mathematical knot

    bounds a self-intersecting disk with only ribbon singularities. Intuitively, this kind of singularity can be formed by cutting a slit in the disk and passing

    Ribbon knot

    Ribbon knot

    Ribbon_knot

  • Grammatical number
  • Use of grammar in a language to express number

    classifier, which always carries a definite/indefinite reading. The singularity or plurality of the noun is determined by the addition of the classifier

    Grammatical number

    Grammatical_number

  • Peter Diamandis
  • Greek-American engineer, physician and entrepreneur

    "Graduate Studies Program". Singularity University. Archived from the original on July 6, 2012. Retrieved August 3, 2012. "Executive Program". Singularity University

    Peter Diamandis

    Peter Diamandis

    Peter_Diamandis

  • Microbial dark matter
  • Microbiological non-culture dependent methods

    yielded significant results in culturing microbial dark matter, with a singular study resulting in the discovery of 31 new bacterial species and genera, as

    Microbial dark matter

    Microbial_dark_matter

  • Siren (mythology)
  • Creature in Greek mythology

    In Greek mythology, sirens (Ancient Greek: singular: Σειρήν, Seirḗn; plural: Σειρῆνες, Seirênes) are female humanlike beings with alluring voices; they

    Siren (mythology)

    Siren (mythology)

    Siren_(mythology)

  • Derek Attridge
  • British academic (born 1945)

    African literature. His best-known book, The Singularity of Literature (2004), won the European Society for the Study of English Book Award in 2006. It has been

    Derek Attridge

    Derek_Attridge

  • Singularity (climate)
  • Weather phenomenon occurring around the same time each year

    In meteorology, a singularity is a weather phenomenon likely to occur with reasonable regularity around a specific approximate calendar date, outside

    Singularity (climate)

    Singularity_(climate)

  • Homeric Greek
  • Form of the Greek language found in Homer

    goddess"), and the genitive plural of first-declension nouns and the genitive singular of masculine first-declension nouns. For example θεᾱ́ων ("of goddesses")

    Homeric Greek

    Homeric_Greek

  • Crepant resolution
  • In algebraic geometry, a crepant resolution of a singularity is a resolution that does not affect the canonical class of the manifold. The term "crepant"

    Crepant resolution

    Crepant_resolution

  • Gartner hype cycle
  • Graphical presentation of the maturity of specific technologies

    technologies. The hype cycle's veracity has been largely disputed, with studies pointing to it being inconsistently true at best. The hype cycle framework

    Gartner hype cycle

    Gartner hype cycle

    Gartner_hype_cycle

  • Scenario planning
  • Futures studies / Futures techniques method

    Hoshin Kanri#Hoshin planning Futures studies Global Scenario Group Jim Dator (Hawaii Research Center for Futures Studies) Robust decision-making Scenario

    Scenario planning

    Scenario_planning

  • AI capability control
  • Monitoring and controlling the behavior of AI systems

    (2012). "Leakproofing the singularity: Artificial intelligence confinement problem" (PDF). Journal of Consciousness Studies. 19 (1–2): 194–214. Armstrong

    AI capability control

    AI_capability_control

  • Accelerationism
  • Ideologies of change via capitalism and technology

    self-revolutionizing capitalism that would culminate in a technological singularity, resulting in artificial intelligence surpassing and eliminating humanity

    Accelerationism

    Accelerationism

  • Benjamin Alarie
  • Canadian law professor (born 1977)

    Canadian Income Tax Law. In 2016, he introduced the concept of the “legal singularity,” describing the potential for artificial intelligence to improve the

    Benjamin Alarie

    Benjamin Alarie

    Benjamin_Alarie

  • Microlocal analysis
  • Techniques in mathematical analysis

    them both in position and in frequency. The main idea is to describe a singularity not only by the point at which it occurs, but also by the cotangent direction

    Microlocal analysis

    Microlocal_analysis

  • Alejandro Ponce
  • mainly based in Israel and the Silicon Valley. In 2016, after attending Singularity University's Global Solutions Program, Alejandro founded 01Labs and 01Ventures

    Alejandro Ponce

    Alejandro Ponce

    Alejandro_Ponce

  • Artificial intelligence
  • Intelligence of machines

    Good called an "intelligence explosion" and Vernor Vinge called a "singularity". However, technologies cannot improve exponentially indefinitely, and

    Artificial intelligence

    Artificial_intelligence

  • Amal Kumar Raychaudhuri
  • Indian physicist (1923–2005)

    demonstrates that singularities arise inevitably in general relativity and is a key ingredient in the proofs of the Penrose–Hawking singularity theorems. Raychaudhuri

    Amal Kumar Raychaudhuri

    Amal_Kumar_Raychaudhuri

  • Peter Thiel
  • American entrepreneur and venture capitalist (born 1967)

    spoken at multiple Singularity Summits. At the 2009 Singularity Summit, he said his greatest concern is the technological singularity not arriving soon

    Peter Thiel

    Peter Thiel

    Peter_Thiel

  • Christopher Zeeman
  • British mathematician (1925–2016)

    a British mathematician known for his work in geometric topology and singularity theory. Zeeman's main contributions to mathematics were in topology,

    Christopher Zeeman

    Christopher Zeeman

    Christopher_Zeeman

  • Madonna
  • American singer and songwriter (born 1958)

    critics, contributing to the development of Madonna studies, a subfield of American cultural studies. Rolling Stone noted that Madonna's omnipresence across

    Madonna

    Madonna

    Madonna

  • Zeros and poles
  • Concept in complex analysis

    certain type of singularity of a complex-valued function of a complex variable. It is the simplest type of non-removable singularity of such a function

    Zeros and poles

    Zeros and poles

    Zeros_and_poles

  • Harmonic analysis
  • Area of mathematical analysis

    the Fourier transform, while modern harmonic analysis also studies maximal functions, singular integrals, oscillatory integrals, Fourier multipliers, Littlewood–Paley

    Harmonic analysis

    Harmonic_analysis

  • Immersion (mathematics)
  • Differentiable function whose derivative is everywhere injective

    multiple points, seeing if one can do this without introducing other singularitiesstudying "multiple disjunctions". This was first done by André Haefliger

    Immersion (mathematics)

    Immersion (mathematics)

    Immersion_(mathematics)

  • Thou
  • English archaic 2nd person singular pronoun

    when indicating singularity to avoid confusion was needed; concurrently, the plural forms, ye and you, began to also be used for singular: typically for

    Thou

    Thou

    Thou

  • Big Bang
  • Physical theory of the cosmos

    condition. For these cases, the Big Bang singularity does represent the limit of time but without a gravitational singularity. In such a case, the universe is

    Big Bang

    Big Bang

    Big_Bang

  • Gender studies
  • Interdisciplinary field of study

    women's studies, concerning women, feminism, gender, and politics. Queer studies, men's studies and transgender studies are sub-fields of Gender studies. Its

    Gender studies

    Gender_studies

  • J. Robert Oppenheimer
  • American theoretical physicist (1904–1967)

    College in 1922 at age 18. He majored in chemistry; Harvard also required studies in history, literature, and philosophy or mathematics. To compensate for

    J. Robert Oppenheimer

    J. Robert Oppenheimer

    J._Robert_Oppenheimer

  • Ultimate fate of the universe
  • Theories about the end of the universe

    of these solutions, the universe has been expanding from an initial singularity which was, essentially, the Big Bang. In 1929, Edwin Hubble published

    Ultimate fate of the universe

    Ultimate fate of the universe

    Ultimate_fate_of_the_universe

  • Shona language
  • Bantu language spoken in Zimbabwe and Mozambique

    ru-, etc. Empty prefix units refer to words that do not require a prefix Singular and plural forms (Uwandu neushoma) e.g. words found in class 8 are plurals

    Shona language

    Shona_language

  • Borde–Guth–Vilenkin theorem
  • Theorem in physical cosmology

    be a boundary or singularity in the history of the universe. This singularity has often been associated to the initial singularity of the Big Bang theory

    Borde–Guth–Vilenkin theorem

    Borde–Guth–Vilenkin_theorem

  • Logic
  • Study of correct reasoning

    us". Some theorists state that formal logic studies the general form of arguments while informal logic studies particular instances of arguments. Another

    Logic

    Logic

    Logic

  • Robot kinematics
  • Geometric analysis of multi-DoF kinematic chains that model a robot

    Thus near singularity configurations robots have large mechanical advantage. Robot kinematics also deals with motion planning, singularity avoidance,

    Robot kinematics

    Robot_kinematics

  • You
  • Personal pronoun to denote the interlocutor

    Old English had singular, dual, and plural second-person pronouns. The dual form was lost by the twelfth century, and the singular form was lost by the

    You

    You

  • Foresight (futures studies)
  • Term referring to various activities in futurology

    think tanks, like Strategic Foresight Group, also engage in foresight studies. The foresight of futurology is also known as strategic foresight. This

    Foresight (futures studies)

    Foresight_(futures_studies)

  • Futures studies
  • Study of postulating possible futures

    Futures studies scholars make predictions of the future and aim at systematically exploring alternatives to the predictions. Futures studies are a branch

    Futures studies

    Futures studies

    Futures_studies

  • Narendra Modi
  • Prime Minister of India since 2014

    2015. Shah, Ghanshyam (June 2013). "Politics of Governance: A Study of Gujarat". Studies in Indian Politics. 1 (1): 65–77. doi:10.1177/2321023013482788

    Narendra Modi

    Narendra Modi

    Narendra_Modi

  • Philippines
  • Archipelagic country in Southeast Asia

    Database. James Martin Center for Nonproliferation Studies, Middlebury Institute of International Studies at Monterey. Archived from the original on September

    Philippines

    Philippines

    Philippines

  • Albert Einstein
  • German-born theoretical physicist (1879–1955)

    obtained from applying the field equations to the motion of a gravitational singularity, but this claim remains disputed. In a 1905 paper, Einstein postulated

    Albert Einstein

    Albert Einstein

    Albert_Einstein

  • Technology
  • Use of knowledge for practical goals

    "incomprehensible" to us. This event horizon is known as the technological singularity. Major figures of techno-utopianism include Ray Kurzweil and Nick Bostrom

    Technology

    Technology

    Technology

  • Creative Commons–licensed content directories
  • Archives of works licensed under Creative Commons

    Retrieved 2018-03-21. "Republish Our Content—Singularity Hub Launches Creative Commons". Singularity Hub. 2018-03-20. Retrieved 2018-03-21. "Steal Our

    Creative Commons–licensed content directories

    Creative_Commons–licensed_content_directories

  • Singleton (global governance)
  • Concept in futurology

    Build a Global AI Nanny to Delay the Singularity Until It's Better Understood?", Journal of consciousness studies 19.1-2 (2012): 1-2. Nick Bostrom (2004)

    Singleton (global governance)

    Singleton_(global_governance)

  • Ricci flow
  • Partial differential equation

    soliton The first two singularity models arise from Type I singularities, whereas the last one arises from a Type II singularity. In four dimensions very

    Ricci flow

    Ricci flow

    Ricci_flow

  • Robert Muggah
  • Rio de Janeiro. He is non-resident faculty at Princeton University. Singularity University in California Muggah is married to Ilona Szabó de Carvalho

    Robert Muggah

    Robert_Muggah

  • Iliad
  • Epic poem attributed to Homer

    (1986), "Iliad", in The Classical Origins of Western Culture, The Core Studies 1 Study Guide, Brooklyn College, archived from the original, 5 December 2007

    Iliad

    Iliad

    Iliad

  • Graeme Snooks
  • "Exploding the great singularity myth" (February 2019), which critically examines the futuristic concept known as the technological singularity – an issue that

    Graeme Snooks

    Graeme Snooks

    Graeme_Snooks

  • Test ideal
  • say, the field of complex numbers. Test ideals are used in the study of singularities in algebraic geometry in positive characteristic. Henriques, Inês

    Test ideal

    Test_ideal

  • June Huh
  • American mathematician (born 1983)

    algebraic geometry course under Hironaka in his sixth year which focused on singularity theory and was based on Hironaka's current research rather than established

    June Huh

    June Huh

    June_Huh

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