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Aidan Herderschee
https://ncatlab.org/nlab/source/Aidan+Herderschee
* [Institute page](https://www.ias.edu/scholars/aidan-herderschee) * [InSpire page](https://inspirehep.net/authors/1869780) * [GoogleScholar page](https://scholar.google.com/citations?user=FI0WW9kAAAAJ&hl=en) ## Selected writings On [[graviton]] [[scattering amplitudes]] in the [[BFSS matrix model]] and...
Airy function
https://ncatlab.org/nlab/source/Airy+function
#Contents# * table of contents {:toc} ## Idea An **Airy function** is a special function satisfying the [[ordinary differential equation]] $$ y''(x) - x \cdot y(x) = 0 $$ and with the Airy integral representation $$ Ai(x) = \frac{1}{\pi}\int_0^\infty cos\left(\frac{t^3}{3}+tx\right) dt = \frac{1}{2\pi}\int_{-\...
Aise Johan de Jong
https://ncatlab.org/nlab/source/Aise+Johan+de+Jong
* [website](http://www.math.columbia.edu/~dejong/) de Jong is running a wiki on [[algebraic stack]]-theory: * [[The Stacks Project]] category: people [[!redirects Johan de Jong]]
AJ Tolland
https://ncatlab.org/nlab/source/AJ+Tolland
* [website](http://www.math.sunysb.edu/~ajt/) [[!redirects A. J. Tolland]] category: people
Akash Singh
https://ncatlab.org/nlab/source/Akash+Singh
* [spire page](https://inspirehep.net/authors/1919675?ui-citation-summary=true) * [institute page](https://web.iisermohali.ac.in/Faculty/anoshjoseph/hep_group/members.html) ## Selected writings On the [[AdS-QCD correspondence]] (embedding the "hard-wall model" into [[type IIB string theory]]): * [[Akash S...
Akhil Mathew
https://ncatlab.org/nlab/source/Akhil+Mathew
* [Webpage](http://math.berkeley.edu/~amathew/) ## Selected writings On [[stable homotopy theory]]: * [[Michael Hopkins]] (notes by [[Akhil Mathew]]), _Spectra and stable homotopy theory_, 2012 ([pdf](http://math.uchicago.edu/~amathew/256y.pdf), [[HopkinsMathewStableHomotopyTheory.pdf:file]]) * [[Akhil M...
Akihiko Sonoda
https://ncatlab.org/nlab/source/Akihiko+Sonoda
## Selected writings Interpretation in [[holographic QCD]] of the [[Schwinger effect]] as exhibited by the [[DBI-action]] on [[flavor branes]]: * {#HashimotoOkaSonoda14a} [[Koji Hashimoto]], [[Takashi Oka]], [[Akihiko Sonoda]], _Magnetic instability in AdS/CFT : Schwinger effect and Euler-Heisenberg Lagrangia...
Akikazu Hashimoto
https://ncatlab.org/nlab/source/Akikazu+Hashimoto
* [webpage](https://www.physics.wisc.edu/people/akihashimoto) ## Selected writings On the [[non-abelian DBI action]] for [[intersecting branes]] with non-abelian [[gauge enhancement]] on their worldvolume: * [[Akikazu Hashimoto]], [[Washington Taylor]], _Fluctuation Spectra of Tilted and Intersecting D-bra...
Akira Furusaki
https://ncatlab.org/nlab/source/Akira+Furusaki
* [Research group page](https://cems.riken.jp/en/laboratory/qmtrt) * [GoogleScholar page](https://scholar.google.com.au/citations?user=JAdEuOIAAAAJ&hl=en) ## Selected writings Precursor to the [[K-theory classification of topological phases of matter]]: * [[Andreas P. Schnyder]], [[Shinsei Ryu]], [[Akira ...
Akira Kono
https://ncatlab.org/nlab/source/Akira+Kono
* [ResearchGate page](https://www.researchgate.net/scientific-contributions/Akira-Kono-21367148) ## Selected writings On [[unstable topological K-theory]]: * {#HK03} [[Hiroaki Hamanaka]], [[Akira Kono]]: *On $[X, U(n)]$ when $\text{dim}(X)$ is $2n$*, Journal of Mathematics of Kyoto University **43** 2 (2003)...
Akshay Venkatesh
https://ncatlab.org/nlab/source/Akshay+Venkatesh
[Website](https://www.ias.edu/math/people/faculty/venkatesh) ## Selected writings On the [[Mordell conjecture]]: * {#LawrenceVenkatesh18} [[Brian Lawrence]], [[Akshay Venkatesh]]: _Diophantine problems and $p$-adic period mappings_, Invent. math. **221** (2020) 893–999 [[arxiv:1807.02721](https://arxi...
AKSZ sigma-model
https://ncatlab.org/nlab/source/AKSZ+sigma-model
+-- {: .rightHandSide} +-- {: .toc .clickDown tabindex="0"} ###Context### #### $\infty$-Chern-Simons theory +--{: .hide} [[!include infinity-Chern-Simons theory - contents]] =-- #### Quantum field theory +--{: .hide} [[!include functorial quantum field theory - contents]] =-- #### Symplectic geometry +--{...
Alain Aspect
https://ncatlab.org/nlab/source/Alain+Aspect
* [Wikipedia entry](https://en.wikipedia.org/wiki/Alain_Aspect) ## Selected writings On [[experiment|experimental]] tests of [[Bell's inequality]] in [[quantum physics]]: * {#Aspect15} [[Alain Aspect]], *[Closing the Door on Einstein and Bohr’s Quantum Debate](https://physics.aps.org/articles/v8/123)*, Physi...
Alain Bruguières
https://ncatlab.org/nlab/source/Alain+Brugui%C3%A8res
* [personal page](https://imag.umontpellier.fr/~bruguieres/) ## Selected writings On [[Hopf monads]] and [[Hopf adjunctions]]: * [[Alain Bruguières]], [[Alexis Virelizier]], *Hopf monads*, Advances in Mathematics **215** 2 (2007) 679-733 [[doi:10.1016/j.aim.2007.04.011](https://doi.org/10.1016/j.aim...
Alain Connes
https://ncatlab.org/nlab/source/Alain+Connes
Alain Connes (born on April 1, 1947) is a French mathematician, Fields medalist (1982), Crafoord prize winner (2001), Professor at [IHÉS](http://www.ihes.fr), Professor at Collège de France and part-time working as a Professor at Vanderbilt University. His interests include [[geometry]], [[topology]], especia...
Alain Joye
https://ncatlab.org/nlab/source/Alain+Joye
* [institute page](https://www-fourier.ujf-grenoble.fr/~joye/) * [GoogleScholar page](https://scholar.google.fr/citations?user=4NUK5AgAAAAJ&hl=en) ## Selected writings On [[open quantum systems|open]] [[quantum systems]] ([[quantum probability]], [[quantum noise]], [[quantum channels]], ...): * [[Stéphane...
Alain Prouté
https://ncatlab.org/nlab/source/Alain+Prout%C3%A9
* [Home page](http://www.logique.jussieu.fr/~alp/) ## Related entries * [[A-infinity-algebra]] ##References: * Alain Prouté, _Introduction à la Logique Catégorique_, [Lecture Notes](http://www.logique.jussieu.fr/~alp/cours_2010.pdf) * Alain Prouté, _Modèles minimaux de Baues-Lemaire et Kad...
Alain Valette
https://ncatlab.org/nlab/source/Alain+Valette
* [webpage](http://www2.unine.ch/alain.valette) ## Selected writings On [[equivariant K-theory]] and the [[Baum-Connes conjecture]]: * {#MislinValette03} [[Guido Mislin]], [[Alain Valette]], _Proper Group Actions and the Baum-Connes Conjecture_, Advanced Courses in Mathematics CRM Barcelona, Springer 2003 ([...
Alain Verschoren
https://ncatlab.org/nlab/source/Alain+Verschoren
__Alain Verschoren__ was an [[algebraist]] at Antwerp. With [[Fred van Oystaeyen]] he coauthored the first monograph on noncommutative algebraic geometry _Non-commutative algebraic geometry_ (Springer LNM 887, 1981). * [webpage](http://www.ua.ac.be/main.aspx?c=alain.verschoren) Verschoren died suddenly in 2020...
Alan Carey
https://ncatlab.org/nlab/source/Alan+Carey
* [website](http://www.cirs-tm.org/researchers/researchers.php?id=251) ## Selected writings On [[twisted K-theory]]: * [[Alan Carey]], [[Bai-Ling Wang]], p. 5 of: *Thom isomorphism and Push-forward map in twisted K-theory*, Journal of K-Theory **1** 2 (2008) 357-393 ([arXiv:math/0507414](https://arxiv.org/a...
Alan Coley
https://ncatlab.org/nlab/source/Alan+Coley
* [webpage](https://www.mscs.dal.ca/~aac/) ## related $n$Lab entries * [[gravity]], [[general relativity]] * [[mathematical physics]] * [[inhomogeneous cosmology]] * [[Penrose-Hawking singularity theorem]] category: people
Alan Guth
https://ncatlab.org/nlab/source/Alan+Guth
* [webpage](http://web.mit.edu/physics/people/faculty/guth_alan.html) * [Wikipedia entry](http://en.wikipedia.org/wiki/Alan_Guth) ## Selected writings On [[false vacuum eternal inflation]]: * {#GarrigaGuthVilenkin06} [[Jaume Garriga]], [[Alan Guth]], [[Alexander Vilenkin]], _Eternal inflation, bubble coll...
Alan Hatcher > history
https://ncatlab.org/nlab/source/Alan+Hatcher+%3E+history
> see [[Allen Hatcher]]
Alan Hatcher > history 2
https://ncatlab.org/nlab/source/Alan+Hatcher+%3E+history+2
[[!redirects Alan Hatcher > history 2]] * [Home page](https://www.math.cornell.edu/~hatcher/) category:people
Alan J. Deschner
https://ncatlab.org/nlab/source/Alan+J.+Deschner
## Selected writings On [[Sullivan models]] in [[rational homotopy theory]] * [[Alan J. Deschner]], *Sullivan's theory of minimal models*, MSc thesis, Univ. British Columbia (1976) [[doi:10.14288/1.0080132](http://hdl.handle.net/2429/20052), [pdf](https://open.library.ubc.ca/media/stream/pdf/831/1.00...
Alan M. Turing
https://ncatlab.org/nlab/source/Alan+M.+Turing
A British mathematician, logician and computer scientist (before computers were invented). ## References * [Wikipedia page](https://en.wikipedia.org/wiki/Alan_Turing) category: people [[!redirects Alan Turing]] [[!redirects A. M. Turing]]
Alan Martin
https://ncatlab.org/nlab/source/Alan+Martin
* <a href="https://en.wikipedia.org/wiki/Alan_Martin_(physicist)">Wikipedia entry</a> ## selected writings * {#HalzenMartin84} [[Francis Halzen]], [[Alan Martin]], _Quarks and Leptons: An Introductory Course in Modern Particle Physics_, Wiley 1984 ([pdf](http://ajbell.web.cern.ch/ajbell/Documents/eBooks/Quark...
Alan Mycroft
https://ncatlab.org/nlab/source/Alan+Mycroft
* [personal page](https://www.cl.cam.ac.uk/~am21/) * [Wikipedia entry](https://en.wikipedia.org/wiki/Alan_Mycroft) * [GoogleScholar page](https://scholar.google.com/citations?user=0ycSEz8AAAAJ&hl=en) ## Selected writings On [[comonads]] and [[graded modalities]] [[comonads in computer science|in computer ...
Alan Robinson
https://ncatlab.org/nlab/source/Alan+Robinson
* [personal page](http://homepages.warwick.ac.uk/~maspas/) * [institute page](https://warwick.ac.uk/fac/sci/maths/people/staff/alan_robinson/) ## Selected writings Introducing the "[[stable Dold-Kan correspondence]]" (equivalence between [[Eilenberg-MacLane spectrum|$H R$-]][[module spectra]] and [[chain com...
Alan S. Cigoli
https://ncatlab.org/nlab/source/Alan+S.+Cigoli
* [institute page](https://www.matematica.unito.it/do/docenti.pl/Alias?alanstefano.cigoli#tab-profilo) ## Selected writings On [[final functors|finality]] of [[internal functors]] between [[internal groupoids]] in [[exact categories]]: * [[Alan S. Cigoli]], *A characterization of final functors between inter...
Alan Weinstein
https://ncatlab.org/nlab/source/Alan+Weinstein
* [website](http://math.berkeley.edu/~alanw/) ## Selected writings On [[Lagrangian submanifolds]] in [[symplectic geometry]]: * [[Alan Weinstein]], _Symplectic Manifolds and Their Lagrangian Submanifolds_, Advances in Math. **6** (1971) 329346 \[<a href="https://doi.org/10.1016/0001-8708(71)90020-X">doi:10...
Alastair Craw
https://ncatlab.org/nlab/source/Alastair+Craw
Alastair Craw is a mathematician at University of Bath. * [webpage](http://people.bath.ac.uk/ac886/) ## related $n$Lab entries * [[mirror symmetry]] * [[McKay correspondence]] category: people
Alastair Grant-Stuart
https://ncatlab.org/nlab/source/Alastair+Grant-Stuart
* [InSpire page](https://inspirehep.net/authors/2016419) ## Selected writings Formulation of the [[CS/WZW correspondence]] in [[homotopical AQFT]]: * [[Marco Benini]], [[Alastair Grant-Stuart]], [[Alexander Schenkel]], *The linear CS/WZW bulk/boundary system in AQFT*, Annales Henri Poincaré (2023) &lbrack;[a...
Alastair Hamilton
https://ncatlab.org/nlab/source/Alastair+Hamilton
__Alastair Hamilton__ is a mathematician at the University of Connecticut. * [webpage](http://www.math.uconn.edu/~hamilton) ## Selected writings * On the extension of a TCFT to the boundary of the moduli space. [arXiv/1002.2670](http://arxiv.org/abs/1002.2670). * Cohomology theories for homotopy algebras an...
Alastair King
https://ncatlab.org/nlab/source/Alastair+King
* [webpage](http://people.bath.ac.uk/masadk/) ## related $n$Lab entries * [[geometric invariant theory]] * [[McKay correspondence]] * [[Bridgeland stability condition]] category: people
Alastair Wilson
https://ncatlab.org/nlab/source/Alastair+Wilson
* [personal page](https://alastairwilson.org/) * [institute page](https://www.birmingham.ac.uk/staff/profiles/philosophy/wilson-alastair.aspx) ## Selected writings Relating the "[[possible worlds]]" of [[modal logic]] to the "[[many-worlds interpretation of quantum mechanics|many worlds]]" of [[interpretatio...
Albanese variety
https://ncatlab.org/nlab/source/Albanese+variety
+-- {: .rightHandSide} +-- {: .toc .clickDown tabindex="0"} ### Context #### Complex geometry +--{: .hide} [[!include complex geometry - contents]] =-- #### Differential cohomology +--{: .hide} [[!include differential cohomology - contents]] =-- =-- =-- #Contents# * table of contents {:toc} ## Idea The Albanese va...
Albert algebra
https://ncatlab.org/nlab/source/Albert+algebra
+-- {: .rightHandSide} +-- {: .toc .clickDown tabindex="0"} ###Context### #### Exceptional structures +-- {: .hide} [[!include exceptional structures -- contents]] =-- #### Algebra +--{: .hide} [[!include higher algebra - contents]] =-- =-- =-- #Contents# * table of contents {:toc} ## Definitio...
Albert Blakers
https://ncatlab.org/nlab/source/Albert+Blakers
* [Mathematics Genealogy page](http://genealogy.math.ndsu.nodak.edu/id.php?id=24490) ## related $n$Lab entries * [[Blakers-Massey theorem]] category: people [[!redirects Albert L. Blakers]]
Albert Burroni
https://ncatlab.org/nlab/source/Albert+Burroni
Albert Burroni is a French mathematician based in the University of Paris 7. He has been very influential in applying categorical methods to certain classes of logical structures. * [Home page](http://www.pps.univ-paris-diderot.fr/~burroni/) * Article by [[Pierre Ageron]] on [Albert Burroni dans l'&#233;cole d'...
Albert Einstein
https://ncatlab.org/nlab/source/Albert+Einstein
* [Wikipedia entry](http://en.wikipedia.org/wiki/Albert_Einstein) * Jeroen van Dongen, *Einstein's Unification*, Cambridge University Press (2013) &lbrack;[doi:10.1017/CBO9780511781377](https://doi.org/10.1017/CBO9780511781377)&rbrack; ## Writings and References {#References} ### The 1919 eclipse On th...
Albert Georg Passegger
https://ncatlab.org/nlab/source/Albert+Georg+Passegger
category: people
Albert Lautman
https://ncatlab.org/nlab/source/Albert+Lautman
__Albert Lautman__ was a French [[philosophy of mathematics|mathematical philosopher]]. He was interested in the structure of advanced mathematics and its creativity and critiziced the [[analytic philosophy|analytic philosophers]] like [[Bertrand Russell|Russell]] and [[Gottlob Frege|Frege]] from the early 20th centu...
Albert Nijenhuis
https://ncatlab.org/nlab/source/Albert+Nijenhuis
Albert Nijenhuis (November 21, 1926 – February 13, 2015) was a mathematician at the University of Pennsylvania. He got his PhD degree in 1952 from the University of Amsterdam, advised by [[Jan Schouten]]. He introduced the notion of a [[natural bundles]] and [[natural operation]] in [[differential geometry]], whi...
Albert R. Hibbs
https://ncatlab.org/nlab/source/Albert+R.+Hibbs
* [Wikipedia entry](https://en.wikipedia.org/wiki/Albert_Hibbs) ## Selected writings Introducing [[path integral quantization]]: * [[Richard Feynman]], [[Albert R. Hibbs]], _Quantum Mechanics and Path Integrals_, New York: McGraw-Hill (1965) * [[Daniel F. Styer]], [[Richard Feynman]], [[Albert R. Hibbs]...
Albert Schwartz > history
https://ncatlab.org/nlab/source/Albert+Schwartz+%3E+history
> see _[[Albert Schwarz]]_
Albert Schwarz
https://ncatlab.org/nlab/source/Albert+Schwarz
__Albert Schwarz__ is a mathematician and a theoretical physicist born in Soviet Union and now Professor at University of California-Davis ([web](http://www.math.ucdavis.edu/~schwarz)). He was one of the pioneers of [[Morse theory]] and brought up a first example of a [[topological quantum field theory]]. Schwarz worke...
Alberto Cattaneo
https://ncatlab.org/nlab/source/Alberto+Cattaneo
* [homepage](http://user.math.uzh.ch/cattaneo) * publication list: [pdf](http://user.math.uzh.ch/cattaneo/allpub.pdf) ## Selected writings On [[3-manifolds]]: * {#BottCattaneo98} [[Raoul Bott]], [[Alberto Cattaneo]], _Integral Invariants of 3-Manifolds_, J. Diff. Geom., 48 (1998) 91-133 ([arXiv:dg-ga/9710001]...
Alberto Elduque
https://ncatlab.org/nlab/source/Alberto+Elduque
* [personal page](https://personal.unizar.es/elduque/) * [GoogleScholar page](https://scholar.google.com/citations?user=zrIPjEwAAAAJ&hl=en) ## Selected writings On [[composition algebras]]: * {#Elduque21} [[Alberto Elduque]], *Composition algebras*, Chapter 2 in: Abdenacer Makhlouf (ed.), *Algebra and Ap...
Alberto Facchini
https://ncatlab.org/nlab/source/Alberto+Facchini
* [MathGenealogy page](https://www.mathgenealogy.org/id.php?id=153516) editor of *[Journal of Algebra and its Applications](https://www.worldscientific.com/worldscinet/jaa)* ## Related entries * [[list of journals publishing homotopy theory and category theory]] category: people
Alberto Gandolfi
https://ncatlab.org/nlab/source/Alberto+Gandolfi
* [institute page](https://nyuad.nyu.edu/en/academics/divisions/science/faculty/alberto-gandolfi.html) ## Selected writings Relating the [[Brownian loop soup]] to [[conformal field theory]]: * [[Federico Camia]], [[Valentino Foit]], [[Alberto Gandolfi]], [[Matthew Kleban]], *Scalar conformal primary fields i...
Alberto García Raboso
https://ncatlab.org/nlab/source/Alberto+Garc%C3%ADa+Raboso
* [webpage](http://www.math.toronto.edu/agraboso/) category: people [[!redirects Alberto Garcia Raboso]] [[!redirects Alberto Raboso]]
Alberto Marchisio
https://ncatlab.org/nlab/source/Alberto+Marchisio
* [institute page](https://ti.tuwien.ac.at/ecs/people/marchisio) * [GoogleScholar page](https://scholar.google.com/citations?user=6QPlLnAAAAAJ&hl=en) ## Selected writings On [[quantum computation|quantum]] [[quantum machine learning|machine learning]]: * Kamila Zaman, [[Alberto Marchisio]], Muhammad Abdul...
Alberto Verjovsky
https://ncatlab.org/nlab/source/Alberto+Verjovsky
* [Institute page](https://www.matem.unam.mx/fsd/alberto) ## Selected writings On [[Hopf fibrations]] and [[twistor fibrations]]: * [[Bonaventure Loo]] and [[Alberto Verjovsky]], _On quotients of Hopf fibrations_, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journ...
Alberto Vezzani
https://ncatlab.org/nlab/source/Alberto+Vezzani
* [personal page](http://users.mat.unimi.it/users/vezzani/) * [GoogleScholar page](https://scholar.google.it/citations?user=9jKNgDMAAAAJ&hl=en) ## Selected writings On [[Grothendieck's yoga of six operations]] for [[motives]] in [[rigid analytic geometry]]: * [[Joseph Ayoub]], [[Martin Gallauer]], [[Alb...
Alberto Zaffaroni
https://ncatlab.org/nlab/source/Alberto+Zaffaroni
* [webpage](https://virgilio.mib.infn.it/~zaffaron/) ## Selected writings On embedding [[D=3 N=4 super Yang-Mills theory]] in [[M-theory]]: * M. Porrati, [[Alberto Zaffaroni]], _M-Theory Origin of Mirror Symmetry in Three Dimensional Gauge Theories_, Nucl. Phys. B490 (1997) 107-120 ([arXiv:hep-th/9611201](ht...
Albrecht Bertram
https://ncatlab.org/nlab/source/Albrecht+Bertram
* [personal page](https://www.math.utah.edu/~bertram/) ## Selected writings On [[Gromov-Witten theory]]: * {#Bertram02} [[Albrecht Bertram]], *Stable Maps and Gromov-Witten Invariants*, School and Conference on Intersection Theory and Moduli Trieste, 9-27 September 2002 ([pdf](http://users.ictp.it/~pub_off/l...
Albrecht Dold
https://ncatlab.org/nlab/source/Albrecht+Dold
* [website](http://www.mathunion.org/Publications/Bulletins/38/IMU.EC/DoldA.html) * [Wikipedia entry](http://de.wikipedia.org/wiki/Albrecht_Dold) **Albrecht Dold** (1928-2011) was a German mathematician who made important contributions in [[algebraic topology]]. He worked at Princeton, Columbia University, ET...
Albrecht Fröhlich
https://ncatlab.org/nlab/source/Albrecht+Fr%C3%B6hlich
* [Wikipedia entry](https://en.wikipedia.org/wiki/Albrecht_Fr%C3%B6hlich) ## Selected writings On [[algebraic number theory]]: * {#FroehlichCassels67} [[J. W. S. Cassels]], [[Albrecht Fröhlich]] (eds.), _Algebraic number theory_, Acad. Press 1967, with many reprints; Fröhlich, Cassels, Birch, Atiyah, Wall, G...
Albrecht Klemm
https://ncatlab.org/nlab/source/Albrecht+Klemm
* [webpage](http://www.th.physik.uni-bonn.de/people/aklemm/) ## Selected writings On [[geometric engineering of quantum field theory]]: * {#KatzKlemmVafa97} [[Sheldon Katz]], [[Albrecht Klemm]], [[Cumrun Vafa]], _Geometric Engineering of Quantum Field Theories_, Nucl.Phys. B497 (1997) 173-195 ([arXiv:hep-t...
Alcides Buss
https://ncatlab.org/nlab/source/Alcides+Buss
* [webpage](http://mtm.ufsc.br/~alcides/) category: people
Aldridge Bousfield
https://ncatlab.org/nlab/source/Aldridge+Bousfield
* [Wikipedia entry](https://en.wikipedia.org/wiki/Aldridge_Bousfield) ## Selected writings On [[homotopy limits]], [[completion of a space|completions]] and [[localization of a space|localizations]] (such as [[p-completion]] and [[rationalization]]): * {#BousfieldKan71} [[Aldridge Bousfield]], [[Daniel Kan...
ALE space
https://ncatlab.org/nlab/source/ALE+space
+-- {: .rightHandSide} +-- {: .toc .clickDown tabindex="0"} ###Context### #### Riemannian geometry +--{: .hide} [[!include Riemannian geometry - contents]] =-- =-- =-- #Contents# * table of contents {:toc} ## Idea An _asymptotically locally Euclidean space_ or _ALE space_ for short is a solution ...
Alejandro Adem
https://ncatlab.org/nlab/source/Alejandro+Adem
* [webpage](http://www.math.ubc.ca/~adem/) ## Selected writings On [[G-spaces]], [[equivariant homotopy theory]] and [[equivariant cohomology]]: * [[Alejandro Adem]], [[James Davis]], *Topics in Transformation Groups*, Chapter 1 in: *Handbook of Geometric Topology*, 2001, Pages 1-54 ([doi:10.1016/B978-0444...
Alejandro Corichi
https://ncatlab.org/nlab/source/Alejandro+Corichi
* [InSpire page](https://inspirehep.net/authors/1013037) * [GoogleScholar page](https://scholar.google.com/citations?user=OO8beHMAAAAJ) * [Wikipedia entry](https://en.wikipedia.org/wiki/Alejandro_Corichi) ## Selected writings On [[Fock space]]-[[quantization]] of the [[electromagnetic field]] based on car...
Alejandro Uribe
https://ncatlab.org/nlab/source/Alejandro+Uribe
* [webpage](http://www.math.lsa.umich.edu/~uribe/) ## related $n$Lab pages * [[theta function]], [[quantization of 3d Chern-Simons theory]] category: people
Aleks Kissinger
https://ncatlab.org/nlab/source/Aleks+Kissinger
* [website](http://web.comlab.ox.ac.uk/people/Aleks.Kissinger/) ## Selected writings On [[classical structures]] in the [[quantum information theory via dagger-compact categories]] and their graphical formalization in the [[ZX-calculus]]: * [[Aleks Kissinger]], *Graph Rewrite Systems for Classical Structur...
Aleksandar Mikovic
https://ncatlab.org/nlab/source/Aleksandar+Mikovic
Aleksandar Mikovic is Associate Professor at the Department of Mathematics, Lusófona University, Lisbon. He is a member of the Grupo de Física Matemática of the Universidade de Lisboa. * [webpage](http://gfm.cii.fc.ul.pt/people/amikovic/) ##Selected writings On [[DBI-action]] and [[Green-Schwarz action funct...
Aleksandar Nanevski
https://ncatlab.org/nlab/source/Aleksandar+Nanevski
* [webpage](http://software.imdea.org/~aleks/) category: people
Aleksandr Aleksandrov
https://ncatlab.org/nlab/source/Aleksandr+Aleksandrov
&#1040;&#1083;&#1077;&#1082;&#1089;&#1072;&#769;&#1085;&#1076;&#1088; &#1044;&#1072;&#1085;&#1080;&#769;&#1083;&#1086;&#1074;&#1080;&#1095; &#1040;&#1083;&#1077;&#1082;&#1089;&#1072;&#769;&#1085;&#1076;&#1088;&#1086;&#1074; (Aleksandr Danilovi&#269; Aleksandrov) was a Russian [[geometry|geometer]]. * [Wikipedia en...
Aleksei Starobinsky
https://ncatlab.org/nlab/source/Aleksei+Starobinsky
Alexei Starobinsky (1948 - 2023) * [personal page](http://www.itp.ac.ru/en/persons/starobinsky-aleksei-aleksandrovich/) * [InSpire page](https://inspirehep.net/authors/987711) * *[‘A Physicist Has to Be a Romantic’](https://www.hse.ru/en/news/305811947.html)*, HSE University News (Sep 2019) ## Selected wr...
aleph
https://ncatlab.org/nlab/source/aleph
An aleph (&#8501;) is the [[cardinality]] of an [[infinite set|infinite]] [[well-ordered set|well-ordered]] (or well-orderable) [[set]]. Assuming the [[axiom of choice]] (in the guise of the [[well-ordering theorem]]), every [[cardinal number]] is either a [[natural number]] or an aleph. The alephs are themselves we...
Alessandra Buonanno
https://ncatlab.org/nlab/source/Alessandra+Buonanno
* [webpage](http://www.aei.mpg.de/1282509/Homepage_of_Alessandra_Buonanno) Buonanno made the theoretical prediction ([Buonanno-Damour 98](#BuonannoDamour98), see also [Damour 10](Thibault+Damour#Damour10)) of the [[gravitational wave]]-signal emitted by inspiralling [[relativistic binaries]] which has later been...
Alessandra Di Pierro
https://ncatlab.org/nlab/source/Alessandra+Di+Pierro
* [GoogleScholar page](https://scholar.google.ae/citations?user=t-1lOBUAAAAJ&hl=zh-CN) ## Selected writings On [[kernel methods]] in [[topological data analysis]] via [[quantum computation]]: * Massimiliano Incudini, Francesco Martini, [[Alessandra Di Pierro]], *Higher-order topological kernels via quantum c...
Alessandro Luongo
https://ncatlab.org/nlab/source/Alessandro+Luongo
* [personal page](https://luongo.pro/) ## Selected writings On [[quantum computation|quantum]] [[algorithms]] for [[data analysis]]: * [[Alessandro Luongo]], *[Quantum algorithms for data analysis](https://quantumalgorithms.org)* &lbrack;[quantumalgorithms.org](https://quantumalgorithms.org)&rbrack; categ...
Alessandro Nagar
https://ncatlab.org/nlab/source/Alessandro+Nagar
* [webpage](http://www.ihes.fr/~nagar/Home.html) ## related $n$Lab entries * [[gravitational wave]] category: people
Alessandro Strumia
https://ncatlab.org/nlab/source/Alessandro+Strumia
* [Institute page Pisa](https://sites.google.com/a/unipi.it/pisa-theory-group/staff/strumia-alessandro) * [Wikipedia entry](https://en.wikipedia.org/wiki/Alessandro_Strumia) ## Selected writings On [[dark matter]] [[model (in theoretical physics)|models]]: * Marco Cirelli, Nicolao Fornengo, [[Alessandro S...
Alessandro Tomasiello
https://ncatlab.org/nlab/source/Alessandro+Tomasiello
* [webpage](http://moby.mib.infn.it/~atom/) ## Selected writings On [[D8-branes]], [[D6-branes]], and [[D6-D8-brane bound states]] in [[massive type IIA supergravity]]/[[massive type IIA string theory]]: * Fabio Apruzzi, [[Marco Fazzi]], Dario Rosa, [[Alessandro Tomasiello]], _All $AdS_7$ solutions of type ...
Alessandro Torrielli
https://ncatlab.org/nlab/source/Alessandro+Torrielli
Alessandro Torrielli works on [[integrable systems]], especially in the context of [[AdS-CFT]] and [[Yangian]] symmetry, at Surrey University. * [webpage](http://www.surrey.ac.uk/maths/people/torrielli_alessandro/index.htm) ## Selected writings * Alessandro Torrielli, _Yangians, S-matrices and AdS/CFT_, J....
Alessandro Valentino
https://ncatlab.org/nlab/source/Alessandro+Valentino
* [website](http://www.uni-math.gwdg.de/sandro/) ## Selected writings On [[QFTs with defects]] via [[higher algebra|higher]] [[categorical algebra]]: * [[Jürgen Fuchs]], [[Christoph Schweigert]], [[Alessandro Valentino]], *Bicategories for boundary conditions and for surface defects in 3-d TFT*, Commun. Ma...
Alessandro Vichi
https://ncatlab.org/nlab/source/Alessandro+Vichi
## Selected writings On the [[conformal bootstrap]]: * [[David Poland]], [[Slava Rychkov]], [[Alessandro Vichi]], _The Conformal Bootstrap: Numerical Techniques and Applications_, Rev. Mod. Phys. 91, 15002 (2019) ([arXiv:1805.04405](https://arxiv.org/abs/1805.04405)) Application of [[conformal bootstrap]] ...
Alessio Lomuscio
https://ncatlab.org/nlab/source/Alessio+Lomuscio
[[!redirects A. Lomuscio]] * [Home page](http://www.doc.ic.ac.uk/~alessio/index.html) category:people
Alessio Marrani
https://ncatlab.org/nlab/source/Alessio+Marrani
* [Inspire page](https://inspirehep.net/authors/1029392) # Selected writings On [[magic supergravity]]: * {#CacciatoriCerchiaiMarrani12} Sergio L. Cacciatori, [[Bianca Cerchiai]], [[Alessio Marrani]], _Squaring the Magic_ &lbrack;[arXiv:1208.6153](http://arxiv.org/abs/1208.6153)&rbrack; * {#CacciatoriCerc...
Alex Arvanitakis
https://ncatlab.org/nlab/source/Alex+Arvanitakis
* [webpage](http://www.damtp.cam.ac.uk/user/asa49/) ## Selected writings On [[supersymmetry and division algebras]], the corresponding [twistor space](twistor+space#TwistorSpace) and its [[anti de Sitter spacetime|AdS]] version: * [[Alex Arvanitakis]], Alec E. Barns-Graham, [[Paul Townsend]], _Twistor descri...
Alex Cole
https://ncatlab.org/nlab/source/Alex+Cole
* [webpage](https://grad.wisc.edu/2020/05/06/alexander-cole/) ## Selected writings Application of [[topological data analysis]] ([[persistent homology]]) to analysis of [[cosmological structure formation]]: * Matteo Biagetti, [[Alex Cole]], [[Gary Shiu]], _The Persistence of Large Scale Structures I: Primo...
Alex Eskin
https://ncatlab.org/nlab/source/Alex+Eskin
* [webpage](https://www.math.uchicago.edu/~eskin/) ## Selected writings On [[pillowcase orbifolds]]: * {#EskinOkounkov05} [[Alex Eskin]], [[Andrei Okounkov]], _Pillowcases and quasimodular forms_, In: Ginzburg V. (ed.) _Algebraic Geometry and Number Theory_, Progress in Mathematics, vol 253. Birkhäuser 200...
Alex Heller
https://ncatlab.org/nlab/source/Alex+Heller
Alex Heller, (born on July 9, 1925, died January 31, 2008), was professor of mathematics at the Graduate School and University Center, CUNY in New York. He was a PhD student of [[Sammy Eilenberg]] and made some very important contributions to [[homotopy theory]] and to [[category theory]]. * [mathematics genealogy pa...
Alex Hoffnung
https://ncatlab.org/nlab/source/Alex+Hoffnung
chains. Here we will sketch the idea and eventually should formalize this on the page for Borel-Moore homology. In the meantime the Wikipedia article plus its references and the Chriss-Ginzburg book `Representation Theory and Complex Geometry` provide plenty of information. $$ H_\bullet(Y) = (possibly\; unbounded...
Alex Kavvos
https://ncatlab.org/nlab/source/Alex+Kavvos
* [personal page](https://seis.bristol.ac.uk/~tz20861/) ## Selected writings On [[directed homotopy type theory]]: * [[Alex Kavvos]], *A quantum of direction* (2019) &lbrack;[pdf](https://seis.bristol.ac.uk/~tz20861/papers/meio.pdf)&rbrack; On [[modal type theory]]: * [[Daniel Gratzer]], [[G. Alex Ka...
Alex Kehagias
https://ncatlab.org/nlab/source/Alex+Kehagias
* [webpage](http://www.physics.ntua.gr/~kehagias/) ## Selected writings Discussion of [[pp-wave spacetimes]] as [[Penrose limits]] of [[anti de Sitter spacetime|AdSp]] [[product manifold|x]] [[n-sphere|S^q]] spacetimes: * E. Floratos, [[Alex Kehagias]], _Penrose Limits of Orbifolds and Orientifolds_, JHE...
Alex Simpson
https://ncatlab.org/nlab/source/Alex+Simpson
* [webpage](https://www.fmf.uni-lj.si/si/imenik/32646/) * [old webpage](http://homepages.inf.ed.ac.uk/als/) ## Selected writings On [[exact real computer arithmetic]]: * Dave Plume (supervised by [[Martín Escardó]], [[Alex Simpson]]): *A Calculator for Exact Real Number Computation*, University of Edinbur...
Alexander A. Migdal
https://ncatlab.org/nlab/source/Alexander+A.+Migdal
* [Institute page](https://as.nyu.edu/faculty/alexander-migdal.html) * [Wikipedia entry](https://en.wikipedia.org/wiki/Alexander_Arkadyevich_Migdal) ## Selected writings Early discussion of [[flux tubes]]/[[Wilson lines]] as effective [[strings]] in [[Yang-Mills theory]] ([Gauge/String duality](AdS-CFT+cor...
Alexander B. Atanasov
https://ncatlab.org/nlab/source/Alexander+B.+Atanasov
[[!redirects Alexander B. Atanosov]] * [personal page](http://abatanasov.com/) ## Selected writings On the [[geometric Langlands correspondence]] with emphasis on [[Yang-Mills monopoles]]: * [[Alexander B. Atanasov]], *Magnetic Monopoles, 't Hooft Lines, and the Geometric Langlands Correspondence*, 2018 ([p...
Alexander Beilinson
https://ncatlab.org/nlab/source/Alexander+Beilinson
**Alexander (or Sasha) Be&#301;linson** is currently a professor at University of Chicago. He was student of [[Yuri Manin]] at Moscow State University, with main works in algebraic geometry. He has made visionary contributions to the study of algebraic cycles, automorphic forms and L-functions, [[algebraic K-theory]],...
Alexander Belavin
https://ncatlab.org/nlab/source/Alexander+Belavin
* [webpage](http://www.itp.ac.ru/en/persons/belavin-aleksander-abramovich/) * [Wikipedia entry](https://en.wikipedia.org/wiki/Alexander_Belavin) ## Selected writings Introducing [[conformal field theory]]: * [[Alexander Belavin]], [[Alexander Polyakov]], [[Alexander Zamolodchikov]], _Infinite conformal sy...
Alexander Belopolsky
https://ncatlab.org/nlab/source/Alexander+Belopolsky
* [mathematics genealogy page](http://www.genealogy.math.ndsu.nodak.edu/id.php?id=112023) ## related entries * [[picture changing operator]] * [[differential form on a supermanifold]] * [[superstring field theory]] category: people
Alexander Berenbeim
https://ncatlab.org/nlab/source/Alexander+Berenbeim
Blog on [[cohesive homotopy type theory]]: * Alexander Berenbeim, _Explorations of the interesection of Cohesive Homotopy Type Theory, Allegory Theory, and Model Categories_ ([web](http://topostheorist.wordpress.com)) category: people
Alexander Berglund
https://ncatlab.org/nlab/source/Alexander+Berglund
* [webpage](http://staff.math.su.se/alexb/) ## Selected writings On [[rational models of mapping spaces]] via [[L-∞ algebra]]: * [[Alexander Berglund]], _Rational homotopy theory of mapping spaces via Lie theory for $L_\infty$ algebras_, Homology, Homotopy and Applications, Volume 17 (2015) Number 2 ([arXiv...
Alexander Bobenko
https://ncatlab.org/nlab/source/Alexander+Bobenko
* [webpage](http://page.math.tu-berlin.de/~bobenko/) category: people
Alexander Braverman
https://ncatlab.org/nlab/source/Alexander+Braverman
* [Wikipedia entry](https://en.m.wikipedia.org/wiki/Alexander_Braverman) ## Selected writings On a mathematical definition of [[Coulomb branches]] of [[D=3 N=4 super Yang-Mills theory]]: * [[Alexander Braverman]], [[Michael Finkelberg]], [[Hiraku Nakajima]], _Towards a mathematical definition of Coulomb ...