Edit Profile (opens in new tab) Larsen, Michael Jeffrey Co-Author Distance Author ID: larsen.michael-j Published as: Larsen, Michael; Larsen, Michael J.; Larsen, M.; Larsen, Michael Jeffrey; Larsen, M. J. more...less Homepage: https://math.indiana.edu/about/faculty/larsen-michael.html External Links: MGP · Wikidata Documents Indexed: 142 Publications since 1990, including 27 Additional arXiv Preprints 3 Further Contributions Co-Authors: 60 Co-Authors with 110 Joint Publications 2,036 Co-Co-Authors all top 5 Co-Authors 26 single-authored 19 Tiep Pham Huu 18 Shalev, Aner 13 Im, Bo-Hae 8 Lubotzky, Alexander 8 Lunts, Valery A. 7 Khare, Chandrashekhar 7 Lindenstrauss, Ayelet 6 Guralnick, Robert Michael 5 Pink, Richard 5 Wang, Zhenghan 4 Hui, Chun Yin 4 Propp, James Gary 3 Freedman, Michael Hartley 3 Ramakrishna, Ravi Kumar 3 Rowell, Eric C. 2 Eiderman, Vladimir Ya. 2 Elkies, Noam David 2 Friedlander, John Benjamin 2 Hesselholt, Lars 2 Kuperberg, Gregory John 2 Lieman, Daniel B. 2 Marion, Claude 2 Nguyen Ngoc Dong Quan 2 Savin, Gordan 2 Shparlinski, Igor E. 1 Avni, Nir 1 Bellaïche, Joël 1 Bergh, Daniel 1 Bondal, Alexey I. 1 Bou-Rabee, Khalil 1 Bourgain, Jean 1 Breuillard, Emmanuel 1 Canetti, Ran 1 Chai, Chingli 1 Chenevier, Gaëtan 1 Cohn, Henry Lee 1 Ellenberg, Jordan Stuart 1 Fisher, David Michael 1 Gallagher, Patrick X. 1 Garion, Shelly 1 Glazer, Itay 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Griess, Robert L. jun. 1 Grunewald, Fritz J. 1 Hajir, Farshid 1 Kazhdan, David 1 Kitaev, Alexei Yu. 1 Kleshchev, Alexander S. 1 Kollár, János 1 Konyagin, Sergeĭ Vladimirovich 1 Kronheimer, Peter Benedict 1 Kushnirsky, Eugene 1 Lü, Zhipeng 1 Lyons, Russell 1 Maire, Christian 1 Malestein, Justin 1 Malle, Gunter 1 Manack, Corey 1 Mazur, Barry 1 Rubin, Karl Cooper 1 Ryba, Alexander J. E. 1 Scherk, John 1 Schoof, René 1 Serre, Jean-Pierre 1 Spatzier, Ralf J. 1 Stover, Matthew 1 Taylor, Jay 1 Ullman, Daniel H. 1 Varshavsky, Yakov 1 Zhan, Sailun all top 5 Serials 11 IMRN. International Mathematics Research Notices 9 Israel Journal of Mathematics 6 Inventiones Mathematicae 6 Algebra & Number Theory 5 Duke Mathematical Journal 5 Journal of Algebra 4 Journal of Number Theory 4 Proceedings of the American Mathematical Society 3 Communications in Mathematical Physics 3 American Journal of Mathematics 3 Mathematische Annalen 3 Journal of the European Mathematical Society (JEMS) 2 Compositio Mathematica 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 \(K\)-Theory 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Algebraic Combinatorics 2 Mathematical Research Letters 2 Annals of Mathematics. Second Series 2 Forum of Mathematics, Sigma 1 Communications in Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Indiana University Mathematics Journal 1 Journal of Graph Theory 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Topology 1 Topology and its Applications 1 Journal of Theoretical Probability 1 Designs, Codes and Cryptography 1 Geometric and Functional Analysis. GAFA 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Representation Theory 1 The Quarterly Journal of Mathematics 1 Algebraic & Geometric Topology 1 Moscow Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Algebra and its Applications 1 Groups, Geometry, and Dynamics 1 Forum of Mathematics, Pi all top 5 Fields 66 Group theory and generalizations (20-XX) 48 Number theory (11-XX) 29 Algebraic geometry (14-XX) 20 Topological groups, Lie groups (22-XX) 9 Manifolds and cell complexes (57-XX) 8 Combinatorics (05-XX) 6 Field theory and polynomials (12-XX) 5 Associative rings and algebras (16-XX) 5 \(K\)-theory (19-XX) 4 Commutative algebra (13-XX) 4 Nonassociative rings and algebras (17-XX) 4 Category theory; homological algebra (18-XX) 4 Functions of a complex variable (30-XX) 4 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 1,620 times in 1,144 Documents Cited by ▼ Year ▼ Alternating-sign matrices and domino tilings. I. Zbl 0779.05009 Elkies, Noam; Kuperberg, Greg; Larsen, Michael; Propp, James 167 1992 The shape of a typical boxed plane partition. Zbl 0908.60083 Cohn, Henry; Larsen, Michael; Propp, James 103 1998 Topological quantum computation. Zbl 1019.81008 Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.; Wang, Zhenghan 91 2003 Alternating-sign matrices and domino tilings. II. Zbl 0788.05017 Elkies, Noam; Kuperberg, Greg; Larsen, Michael; Propp, James 87 1992 A modular functor which is universal for quantum computation. Zbl 1012.81007 Freedman, Michael H.; Larsen, Michael; Wang, Zhenghan 76 2002 Finite subgroups of algebraic groups. Zbl 1241.20054 Larsen, Michael J.; Pink, Richard 57 2011 Grothendieck ring of pretriangulated categories. Zbl 1079.18008 Bondal, Alexey I.; Larsen, Michael; Lunts, Valery A. 55 2004 The Waring problem for finite simple groups. Zbl 1283.20008 Larsen, Michael; Shalev, Aner; Tiep, Pham Huu 49 2011 Word maps and Waring type problems. Zbl 1206.20014 Larsen, Michael; Shalev, Aner 47 2009 Motivic measures and stable birational geometry. Zbl 1056.14015 Larsen, Michael; Lunts, Valery A. 44 2003 The fractional chromatic number of Mycielski’s graphs. Zbl 0830.05027 Larsen, Michael; Propp, James; Ullman, Daniel 41 1995 Characters of symmetric groups: sharp bounds and applications. Zbl 1166.20009 Larsen, Michael; Shalev, Aner 39 2008 On \(\ell\)-independence of algebraic monodromy groups in compatible systems of representations. Zbl 0778.11036 Larsen, M.; Pink, R. 38 1992 The two-eigenvalue problem and density of Jones representation of braid groups. Zbl 1045.20027 Freedman, Michael H.; Larsen, Michael J.; Wang, Zhenghan 38 2002 Maximality of Galois actions for compatible systems. Zbl 0912.11026 Larsen, M. 33 1995 Representation growth of linear groups. Zbl 1142.22006 Larsen, Michael; Lubotzky, Alexander 32 2008 Word maps have large image. Zbl 1130.20310 Larsen, Michael 32 2004 On the statistical properties of Diffie-Hellman distributions. Zbl 0997.11066 Canetti, Ran; Friedlander, John; Konyagin, Sergei; Larsen, Michael; Lieman, Daniel; Shparlinski, Igor 25 2000 Determining representations from invariant dimensions. Zbl 0687.22004 Larsen, M.; Pink, R. 24 1990 Abelian varieties, \(\ell\)-adic representations, and \(\ell\)-independence. Zbl 0867.14019 Larsen, M.; Pink, R. 23 1995 On the conjugacy of element-conjugate homomorphisms. Zbl 0898.20025 Larsen, Michael 22 1994 Arithmetic quotients of the mapping class group. Zbl 1334.57017 Grunewald, Fritz; Larsen, Michael; Lubotzky, Alexander; Malestein, Justin 22 2015 Fibers of word maps and some applications. Zbl 1258.20011 Larsen, Michael; Shalev, Aner 20 2012 Diophantine stability. Zbl 1491.14036 Mazur, Barry; Rubin, Karl 19 2018 Rationality criteria for motivic zeta functions. Zbl 1076.14024 Larsen, Michael; Lunts, Valery A. 18 2004 The support problem for abelian varieties. Zbl 1039.11040 Larsen, Michael 18 2003 Quotients of Calabi-Yau varieties. Zbl 1200.14074 Kollár, János; Larsen, Michael 18 2009 The largest irreducible representations of simple groups. Zbl 1319.20013 Larsen, Michael; Malle, Gunter; Tiep, Pham Huu 17 2013 Functoriality and the inverse Galois problem. Zbl 1194.11062 Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan 16 2008 Character levels and character bounds. Zbl 1481.20039 Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 15 2020 A connectedness criterion for \(\ell\)-adic Galois representations. Zbl 0870.11037 Larsen, Michael; Pink, Richard 14 1997 Beauville surfaces and finite simple groups. Zbl 1255.20008 Garion, Shelly; Larsen, Michael; Lubotzky, Alexander 14 2012 Waring problem for finite quasisimple groups. Zbl 1329.20014 Larsen, Michael; Shalev, Aner; Tiep, Pham Huu 14 2013 The Waring problem for Lie groups and Chevalley groups. Zbl 1343.22006 Hui, Chun Yin; Larsen, Michael; Shalev, Aner 13 2015 Density of the \(\text{SO}(3)\) TQFT representation of mapping class groups. Zbl 1114.57012 Larsen, Michael; Wang, Zhenghan 12 2005 Cyclic homology of Dedekind domains. Zbl 0781.13008 Larsen, M.; Lindenstrauss, A. 12 1992 Constructing semisimple \(p\)-adic Galois representations with prescribed properties. Zbl 1083.11034 Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 11 2005 Representation growth in positive characteristic and conjugacy classes of maximal subgroups. Zbl 1244.20007 Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 11 2012 The \(N\)-eigenvalue problem and two applications. Zbl 1109.22008 Larsen, Michael J.; Rowell, Eric C.; Wang, Zhenghan 11 2005 Deformation theory and finite simple quotients of triangle groups. I. Zbl 1312.20030 Larsen, Michael; Lubotzky, Alexander; Marion, Claude 11 2014 Navigating the Cayley graph of \(\text{SL}_2(\mathbb F_p)\). Zbl 1049.22005 Larsen, Michael 11 2003 On the conjugacy of element-conjugate homomorphisms. II. Zbl 0898.20026 Larsen, Michael 10 1996 Arithmetic compactification of some Shimura surfaces. Zbl 0760.14009 Larsen, Michael J. 10 1992 The Tannakian formalism and the Langlands conjectures. Zbl 1395.11127 Kazhdan, David; Larsen, Michael; Varshavsky, Yakov 9 2014 On the distribution of values of certain word maps. Zbl 1347.20081 Larsen, Michael; Shalev, Aner 9 2016 An algebra-level version of a link-polynomial identity of Lickorish. Zbl 1154.57007 Larsen, Michael J.; Rowell, Eric C. 8 2008 Normal subgroup growth of linear groups: the \((G_2,F_4,E_8)\)-theorem. Zbl 1161.20305 Larsen, Michael; Lubotzky, Alexander 8 2004 Probabilistic Waring problems for finite simple groups. Zbl 1448.20063 Larsen, Michael; Shalev, Aner; Tiep, Pham 8 2019 A non-abelian free pro-\(p\) group is not linear over a local field. Zbl 0923.20018 Barnea, Y.; Larsen, M. 7 1999 Rank of elliptic curves over almost separably closed fields. Zbl 1140.11335 Larsen, Michael 7 2003 Type A images of Galois representations and maximality. Zbl 1402.11081 Hui, Chun Yin; Larsen, Michael 7 2016 Deformation theory and finite simple quotients of triangle groups. II. Zbl 1312.20031 Larsen, Michael; Lubotzky, Alexander; Marion, Claude 7 2014 Abelian varieties over cyclic fields. Zbl 1149.14037 Im, Bo-Hae; Larsen, Michael 7 2008 Words, Hausdorff dimension and randomly free groups. Zbl 1498.20074 Larsen, Michael; Shalev, Aner 7 2018 Representation varieties of Fuchsian groups. Zbl 1272.20054 Larsen, Michael; Lubotzky, Alexander 7 2013 Low degree representations of simple Lie groups. Zbl 1247.22006 Guralnick, Robert; Larsen, Michael; Manack, Corey 6 2012 Functoriality and the inverse Galois problem. II: Groups of type \(B_n\) and \(G_2\). Zbl 1194.11063 Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan 6 2010 How often is \(84(g-1)\) achieved? Zbl 1026.30040 Larsen, Michael 6 2001 Unitary braid representations with finite image. Zbl 1187.20047 Larsen, Michael; Rowell, Eric 6 2008 Transcendental \(\ell\)-adic Galois representations. Zbl 1134.11023 Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 6 2005 Filtrations, mixed complexes, and cyclic homology in mixed characteristic. Zbl 0839.19002 Larsen, M. 5 1995 On the correlation of binary \(M\)-sequences. Zbl 0941.94014 Friedlander, John; Larsen, Michael; Lieman, Daniel; Shparlinski, Igor 5 1999 Random generation in semisimple algebraic groups over local fields. Zbl 1049.20028 Barnea, Y.; Larsen, M. 5 2004 A probabilistic Tits alternative and probabilistic identities. Zbl 1356.20030 Larsen, Michael; Shalev, Aner 5 2016 Embeddings of \(\text{PGL}_2(31)\) and \(\text{SL}_2(32)\) in \(E_8(\mathbb{C})\). With appendices by Michael Larsen and J. -P. Serre. Zbl 0980.20035 Griess, Robert L. jun.; Ryba, A. J. E. 4 1998 On the semisimplicity of low-dimensional representations of semisimple groups in characteristic \(p\). Zbl 0834.20045 Larsen, Michael 4 1995 The sparsity of character tables of high rank groups of Lie type. Zbl 1498.20034 Larsen, Michael J.; Miller, Alexander R. 4 2021 Exponential generation and largeness for compact \(p\)-adic Lie groups. Zbl 1219.22011 Larsen, Michael 3 2010 Determining a semisimple group from its representation degrees. Zbl 1073.22009 Larsen, Michael 3 2004 Rational curves on quotients of abelian varieties by finite groups. Zbl 1351.14028 Im, Bo-Hae; Larsen, Michael 3 2015 A refined Waring problem for finite simple groups. Zbl 1328.20023 Larsen, Michael; Tiep, Pham Huu 3 2015 Topological Hochschild homology of algebras in characteristic \(p\). Zbl 0940.19002 Larsen, Michael; Lindenstrauss, Ayelet 2 2000 The problem of kings. Zbl 0827.05005 Larsen, Michael 2 1995 A refined counter-example to the support conjecture for abelian varieties. Zbl 1097.14036 Larsen, Michael; Schoof, René 2 2006 Topological Hochschild homology and the condition of Hochschild-Kostant-Rosenberg. Zbl 0989.19003 Larsen, Michael; Lindenstrauss, Ayelet 2 2001 Coalescing particles on an interval. Zbl 0922.60061 Larsen, Michael; Lyons, Russell 2 1999 Rigidity in the invariant theory of compact Lie groups. Zbl 1330.22006 Larsen, Michael 2 2015 Abelian varieties with isogenous reductions. Zbl 1482.11085 Khare, Chandrashekhar B.; Larsen, Michael 2 2020 Products of derangements in simple permutation groups. Zbl 1507.20005 Larsen, Michael; Shalev, Aner; Tiep, Pham Huu 2 2022 Irrationality of motivic zeta functions. Zbl 1464.14026 Larsen, Michael J.; Lunts, Valery A. 2 2020 Maximality of Galois actions for abelian and hyper-Kähler varieties. Zbl 1477.11107 Hui, Chun Yin; Larsen, Michael 2 2020 Infinite rank of elliptic curves over \(\mathbb{Q}^{\mathrm{ab}}\). Zbl 1272.11077 Im, Bo-Hae; Larsen, Michael 2 2013 Positive motivic measures are counting measures. Zbl 1196.14021 Ellenberg, Jordan S.; Larsen, Michael 1 2010 Parallelopipeds of positive rank twists of elliptic curves. Zbl 1277.11059 Im, Bo-Hae; Larsen, Michael 1 2011 Converging sequences of \(p\)-adic Galois representations and density theorems. Zbl 1091.11017 Bellaïche, Joël; Chenevier, Gaëtan; Khare, Chandrashekhar; Larsen, Michael 1 2005 Weak approximation for linear systems of quadrics. Zbl 1160.11018 Im, Bo-Hae; Larsen, Michael 1 2006 Generalizing a theorem of Richard Brauer. Zbl 1204.11096 Im, Bo-Hae; Larsen, Michael 1 2008 Casson’s invariant and quadratic reciprocity. Zbl 0729.57007 Kronheimer, P. B.; Larsen, M. J.; Scherk, J. 1 1991 Two-dimensional systems of Galois representations. Zbl 0797.11088 Larsen, Michael 1 1992 Homology of maximal orders in central simple algebras. Zbl 0777.16005 Larsen, Michael 1 1992 Linear groups with Borel’s property. Zbl 1475.20048 Bou-Rabee, Khalil; Larsen, Michael 1 2017 Categorical measures for finite group actions. Zbl 1486.14010 Bergh, D.; Gorchinskiy, S.; Larsen, M.; Lunts, V. 1 2021 Most words are geometrically almost uniform. Zbl 07275225 Larsen, Michael Jeffrey 1 2020 Many zeros of many characters of \(\mathrm{GL}(n,q)\). Zbl 07504298 Gallagher, Patrick X.; Larsen, Michael J.; Miller, Alexander R. 1 2022 Character bounds for regular semisimple elements and asymptotic results on Thompson’s conjecture. Zbl 1517.20072 Larsen, Michael; Taylor, Jay; Pham Huu Tiep 1 2023 Polynomial parametrization for SL\(_2\) over quadratic number rings. Zbl 1470.11059 Larsen, Michael; Nguyen, Dong Quan Ngoc 1 2021 Almost PI algebras are PI. Zbl 1516.16020 Larsen, Michael; Shalev, Aner 1 2022 Products of normal subsets. Zbl 07789103 Larsen, Michael; Shalev, Aner; Tiep, Pham Huu 1 2024 Products of normal subsets. Zbl 07789103 Larsen, Michael; Shalev, Aner; Tiep, Pham Huu 1 2024 Character bounds for regular semisimple elements and asymptotic results on Thompson’s conjecture. Zbl 1517.20072 Larsen, Michael; Taylor, Jay; Pham Huu Tiep 1 2023 Products of derangements in simple permutation groups. Zbl 1507.20005 Larsen, Michael; Shalev, Aner; Tiep, Pham Huu 2 2022 Many zeros of many characters of \(\mathrm{GL}(n,q)\). Zbl 07504298 Gallagher, Patrick X.; Larsen, Michael J.; Miller, Alexander R. 1 2022 Almost PI algebras are PI. Zbl 1516.16020 Larsen, Michael; Shalev, Aner 1 2022 The sparsity of character tables of high rank groups of Lie type. Zbl 1498.20034 Larsen, Michael J.; Miller, Alexander R. 4 2021 Categorical measures for finite group actions. Zbl 1486.14010 Bergh, D.; Gorchinskiy, S.; Larsen, M.; Lunts, V. 1 2021 Polynomial parametrization for SL\(_2\) over quadratic number rings. Zbl 1470.11059 Larsen, Michael; Nguyen, Dong Quan Ngoc 1 2021 Character levels and character bounds. Zbl 1481.20039 Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 15 2020 Abelian varieties with isogenous reductions. Zbl 1482.11085 Khare, Chandrashekhar B.; Larsen, Michael 2 2020 Irrationality of motivic zeta functions. Zbl 1464.14026 Larsen, Michael J.; Lunts, Valery A. 2 2020 Maximality of Galois actions for abelian and hyper-Kähler varieties. Zbl 1477.11107 Hui, Chun Yin; Larsen, Michael 2 2020 Most words are geometrically almost uniform. Zbl 07275225 Larsen, Michael Jeffrey 1 2020 Probabilistic Waring problems for finite simple groups. Zbl 1448.20063 Larsen, Michael; Shalev, Aner; Tiep, Pham 8 2019 Diophantine stability. Zbl 1491.14036 Mazur, Barry; Rubin, Karl 19 2018 Words, Hausdorff dimension and randomly free groups. Zbl 1498.20074 Larsen, Michael; Shalev, Aner 7 2018 Linear groups with Borel’s property. Zbl 1475.20048 Bou-Rabee, Khalil; Larsen, Michael 1 2017 On the distribution of values of certain word maps. Zbl 1347.20081 Larsen, Michael; Shalev, Aner 9 2016 Type A images of Galois representations and maximality. Zbl 1402.11081 Hui, Chun Yin; Larsen, Michael 7 2016 A probabilistic Tits alternative and probabilistic identities. Zbl 1356.20030 Larsen, Michael; Shalev, Aner 5 2016 Arithmetic quotients of the mapping class group. Zbl 1334.57017 Grunewald, Fritz; Larsen, Michael; Lubotzky, Alexander; Malestein, Justin 22 2015 The Waring problem for Lie groups and Chevalley groups. Zbl 1343.22006 Hui, Chun Yin; Larsen, Michael; Shalev, Aner 13 2015 Rational curves on quotients of abelian varieties by finite groups. Zbl 1351.14028 Im, Bo-Hae; Larsen, Michael 3 2015 A refined Waring problem for finite simple groups. Zbl 1328.20023 Larsen, Michael; Tiep, Pham Huu 3 2015 Rigidity in the invariant theory of compact Lie groups. Zbl 1330.22006 Larsen, Michael 2 2015 Deformation theory and finite simple quotients of triangle groups. I. Zbl 1312.20030 Larsen, Michael; Lubotzky, Alexander; Marion, Claude 11 2014 The Tannakian formalism and the Langlands conjectures. Zbl 1395.11127 Kazhdan, David; Larsen, Michael; Varshavsky, Yakov 9 2014 Deformation theory and finite simple quotients of triangle groups. II. Zbl 1312.20031 Larsen, Michael; Lubotzky, Alexander; Marion, Claude 7 2014 The largest irreducible representations of simple groups. Zbl 1319.20013 Larsen, Michael; Malle, Gunter; Tiep, Pham Huu 17 2013 Waring problem for finite quasisimple groups. Zbl 1329.20014 Larsen, Michael; Shalev, Aner; Tiep, Pham Huu 14 2013 Representation varieties of Fuchsian groups. Zbl 1272.20054 Larsen, Michael; Lubotzky, Alexander 7 2013 Infinite rank of elliptic curves over \(\mathbb{Q}^{\mathrm{ab}}\). Zbl 1272.11077 Im, Bo-Hae; Larsen, Michael 2 2013 Fibers of word maps and some applications. Zbl 1258.20011 Larsen, Michael; Shalev, Aner 20 2012 Beauville surfaces and finite simple groups. Zbl 1255.20008 Garion, Shelly; Larsen, Michael; Lubotzky, Alexander 14 2012 Representation growth in positive characteristic and conjugacy classes of maximal subgroups. Zbl 1244.20007 Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu 11 2012 Low degree representations of simple Lie groups. Zbl 1247.22006 Guralnick, Robert; Larsen, Michael; Manack, Corey 6 2012 Finite subgroups of algebraic groups. Zbl 1241.20054 Larsen, Michael J.; Pink, Richard 57 2011 The Waring problem for finite simple groups. Zbl 1283.20008 Larsen, Michael; Shalev, Aner; Tiep, Pham Huu 49 2011 Parallelopipeds of positive rank twists of elliptic curves. Zbl 1277.11059 Im, Bo-Hae; Larsen, Michael 1 2011 Functoriality and the inverse Galois problem. II: Groups of type \(B_n\) and \(G_2\). Zbl 1194.11063 Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan 6 2010 Exponential generation and largeness for compact \(p\)-adic Lie groups. Zbl 1219.22011 Larsen, Michael 3 2010 Positive motivic measures are counting measures. Zbl 1196.14021 Ellenberg, Jordan S.; Larsen, Michael 1 2010 Word maps and Waring type problems. Zbl 1206.20014 Larsen, Michael; Shalev, Aner 47 2009 Quotients of Calabi-Yau varieties. Zbl 1200.14074 Kollár, János; Larsen, Michael 18 2009 Characters of symmetric groups: sharp bounds and applications. Zbl 1166.20009 Larsen, Michael; Shalev, Aner 39 2008 Representation growth of linear groups. Zbl 1142.22006 Larsen, Michael; Lubotzky, Alexander 32 2008 Functoriality and the inverse Galois problem. Zbl 1194.11062 Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan 16 2008 An algebra-level version of a link-polynomial identity of Lickorish. Zbl 1154.57007 Larsen, Michael J.; Rowell, Eric C. 8 2008 Abelian varieties over cyclic fields. Zbl 1149.14037 Im, Bo-Hae; Larsen, Michael 7 2008 Unitary braid representations with finite image. Zbl 1187.20047 Larsen, Michael; Rowell, Eric 6 2008 Generalizing a theorem of Richard Brauer. Zbl 1204.11096 Im, Bo-Hae; Larsen, Michael 1 2008 A refined counter-example to the support conjecture for abelian varieties. Zbl 1097.14036 Larsen, Michael; Schoof, René 2 2006 Weak approximation for linear systems of quadrics. Zbl 1160.11018 Im, Bo-Hae; Larsen, Michael 1 2006 Density of the \(\text{SO}(3)\) TQFT representation of mapping class groups. Zbl 1114.57012 Larsen, Michael; Wang, Zhenghan 12 2005 Constructing semisimple \(p\)-adic Galois representations with prescribed properties. Zbl 1083.11034 Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 11 2005 The \(N\)-eigenvalue problem and two applications. Zbl 1109.22008 Larsen, Michael J.; Rowell, Eric C.; Wang, Zhenghan 11 2005 Transcendental \(\ell\)-adic Galois representations. Zbl 1134.11023 Khare, Chandrashekhar; Larsen, Michael; Ramakrishna, Ravi 6 2005 Converging sequences of \(p\)-adic Galois representations and density theorems. Zbl 1091.11017 Bellaïche, Joël; Chenevier, Gaëtan; Khare, Chandrashekhar; Larsen, Michael 1 2005 Grothendieck ring of pretriangulated categories. Zbl 1079.18008 Bondal, Alexey I.; Larsen, Michael; Lunts, Valery A. 55 2004 Word maps have large image. Zbl 1130.20310 Larsen, Michael 32 2004 Rationality criteria for motivic zeta functions. Zbl 1076.14024 Larsen, Michael; Lunts, Valery A. 18 2004 Normal subgroup growth of linear groups: the \((G_2,F_4,E_8)\)-theorem. Zbl 1161.20305 Larsen, Michael; Lubotzky, Alexander 8 2004 Random generation in semisimple algebraic groups over local fields. Zbl 1049.20028 Barnea, Y.; Larsen, M. 5 2004 Determining a semisimple group from its representation degrees. Zbl 1073.22009 Larsen, Michael 3 2004 Topological quantum computation. Zbl 1019.81008 Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.; Wang, Zhenghan 91 2003 Motivic measures and stable birational geometry. Zbl 1056.14015 Larsen, Michael; Lunts, Valery A. 44 2003 The support problem for abelian varieties. Zbl 1039.11040 Larsen, Michael 18 2003 Navigating the Cayley graph of \(\text{SL}_2(\mathbb F_p)\). Zbl 1049.22005 Larsen, Michael 11 2003 Rank of elliptic curves over almost separably closed fields. Zbl 1140.11335 Larsen, Michael 7 2003 A modular functor which is universal for quantum computation. Zbl 1012.81007 Freedman, Michael H.; Larsen, Michael; Wang, Zhenghan 76 2002 The two-eigenvalue problem and density of Jones representation of braid groups. Zbl 1045.20027 Freedman, Michael H.; Larsen, Michael J.; Wang, Zhenghan 38 2002 How often is \(84(g-1)\) achieved? Zbl 1026.30040 Larsen, Michael 6 2001 Topological Hochschild homology and the condition of Hochschild-Kostant-Rosenberg. Zbl 0989.19003 Larsen, Michael; Lindenstrauss, Ayelet 2 2001 On the statistical properties of Diffie-Hellman distributions. Zbl 0997.11066 Canetti, Ran; Friedlander, John; Konyagin, Sergei; Larsen, Michael; Lieman, Daniel; Shparlinski, Igor 25 2000 Topological Hochschild homology of algebras in characteristic \(p\). Zbl 0940.19002 Larsen, Michael; Lindenstrauss, Ayelet 2 2000 A non-abelian free pro-\(p\) group is not linear over a local field. Zbl 0923.20018 Barnea, Y.; Larsen, M. 7 1999 On the correlation of binary \(M\)-sequences. Zbl 0941.94014 Friedlander, John; Larsen, Michael; Lieman, Daniel; Shparlinski, Igor 5 1999 Coalescing particles on an interval. Zbl 0922.60061 Larsen, Michael; Lyons, Russell 2 1999 The shape of a typical boxed plane partition. Zbl 0908.60083 Cohn, Henry; Larsen, Michael; Propp, James 103 1998 Embeddings of \(\text{PGL}_2(31)\) and \(\text{SL}_2(32)\) in \(E_8(\mathbb{C})\). With appendices by Michael Larsen and J. -P. Serre. Zbl 0980.20035 Griess, Robert L. jun.; Ryba, A. J. E. 4 1998 A connectedness criterion for \(\ell\)-adic Galois representations. Zbl 0870.11037 Larsen, Michael; Pink, Richard 14 1997 On the conjugacy of element-conjugate homomorphisms. II. Zbl 0898.20026 Larsen, Michael 10 1996 The fractional chromatic number of Mycielski’s graphs. Zbl 0830.05027 Larsen, Michael; Propp, James; Ullman, Daniel 41 1995 Maximality of Galois actions for compatible systems. Zbl 0912.11026 Larsen, M. 33 1995 Abelian varieties, \(\ell\)-adic representations, and \(\ell\)-independence. Zbl 0867.14019 Larsen, M.; Pink, R. 23 1995 Filtrations, mixed complexes, and cyclic homology in mixed characteristic. Zbl 0839.19002 Larsen, M. 5 1995 On the semisimplicity of low-dimensional representations of semisimple groups in characteristic \(p\). Zbl 0834.20045 Larsen, Michael 4 1995 The problem of kings. Zbl 0827.05005 Larsen, Michael 2 1995 On the conjugacy of element-conjugate homomorphisms. Zbl 0898.20025 Larsen, Michael 22 1994 Alternating-sign matrices and domino tilings. I. Zbl 0779.05009 Elkies, Noam; Kuperberg, Greg; Larsen, Michael; Propp, James 167 1992 Alternating-sign matrices and domino tilings. II. Zbl 0788.05017 Elkies, Noam; Kuperberg, Greg; Larsen, Michael; Propp, James 87 1992 On \(\ell\)-independence of algebraic monodromy groups in compatible systems of representations. Zbl 0778.11036 Larsen, M.; Pink, R. 38 1992 Cyclic homology of Dedekind domains. Zbl 0781.13008 Larsen, M.; Lindenstrauss, A. 12 1992 Arithmetic compactification of some Shimura surfaces. Zbl 0760.14009 Larsen, Michael J. 10 1992 Two-dimensional systems of Galois representations. Zbl 0797.11088 Larsen, Michael 1 1992 Homology of maximal orders in central simple algebras. Zbl 0777.16005 Larsen, Michael 1 1992 Casson’s invariant and quadratic reciprocity. Zbl 0729.57007 Kronheimer, P. B.; Larsen, M. J.; Scherk, J. 1 1991 Determining representations from invariant dimensions. Zbl 0687.22004 Larsen, M.; Pink, R. 24 1990 all cited Publications top 5 cited Publications all top 5 Cited by 1,290 Authors 48 Larsen, Michael Jeffrey 33 Shalev, Aner 28 Lai, Tri 25 Tiep Pham Huu 20 Wang, Zhenghan 18 Rowell, Eric C. 15 Pronko, Andrei G. 14 Ciucu, Mihai 14 Guralnick, Robert Michael 12 Fischer, Ilse 12 Gorin, Vadim 12 Liebeck, Martin Walter 12 Shparlinski, Igor E. 11 Lubotzky, Alexander 9 Chhita, Sunil 9 Colomo, Filippo 9 Johansson, Kurt 9 Lunts, Valery A. 9 Toninelli, Fabio Lucio 8 Avni, Nir 8 Borodin, Alexei 8 Hui, Chun Yin 8 Kenyon, Richard W. 8 Khare, Chandrashekhar 8 Lindenstrauss, Ayelet 8 Petersen, Sebastian 7 Gajda, Wojciech 7 Lytkina, Dar’ya Viktorovna 7 Mazurov, Viktor Danilovich 7 Panova, Greta 7 Propp, James Gary 7 Stellari, Paolo 6 Canonaco, Alberto 6 Cui, Shawn Xingshan 6 Di Francesco, Philippe 6 Klopsch, Benjamin 6 Oh, Seungsang 6 Pak, Igor 6 Patrikis, Stefan T. 6 Pink, Richard 6 Saldanha, Nicolau Corção 6 Tabuada, Gonçalo 5 Achter, Jeffrey D. 5 Adler, Mark 5 Banaszak, Grzegorz 5 Duits, Maurice 5 Freedman, Michael Hartley 5 Garion, Shelly 5 Gordeev, Nikolai L. 5 Kanel’-Belov, Alekseĭ Yakovlevich 5 Kauffman, Louis Hirsch 5 Kunyavskiĭ, Boris Èmmanuilovich 5 Onn, Uri 5 Puder, Doron 5 Rasetti, Mario 5 van Moerbeke, Pierre 5 Voll, Christopher 5 Zakharevich, Inna 4 Arias-de-Reyna, Sara 4 Barańczuk, Stefan 4 Behrend, Roger E. 4 Bors, Alexander 4 Breuillard, Emmanuel 4 Bufetov, Alekseĭ Igor’evich 4 Cadoret, Anna 4 Ferrari, Patrik Lino 4 Friedlander, John Benjamin 4 Funar, Louis 4 Ge, Molin 4 Geer, Nathan 4 Im, Bo-Hae 4 Krasoń, Piotr 4 Krattenthaler, Christian Friedrich 4 Lombardo, Davide M. 4 Marcolli, Matilde 4 Marzuoli, Annalisa 4 Musiker, Gregg 4 Patureau-Mirand, Bertrand 4 Perucca, Antonella 4 Petrov, Leonid 4 Reshetikhin, Nikolai Yu. 4 Rohatgi, Ranjan 4 Ruelle, Philippe 4 Schnürer, Olaf M. 4 Shinder, Evgeny 4 Stanley, Richard Peter 4 Striker, Jessica 4 Taylor, Richard 4 Yan, Weigen 4 Zhang, Yong 3 Aggarwal, Amol 3 Ayyer, Arvind 3 Bandman, Tatiana M. 3 Böckle, Gebhard 3 Bombín, Héctor 3 Brešar, Matej 3 Calegari, Frank 3 Dieulefait, Luis Victor 3 Egorchenkova, E. A. 3 Fakhruddin, Najmuddin ...and 1,190 more Authors all top 5 Cited in 247 Serials 45 Journal of Algebra 44 Advances in Mathematics 33 Communications in Mathematical Physics 30 Israel Journal of Mathematics 27 Transactions of the American Mathematical Society 26 Inventiones Mathematicae 26 Journal of Combinatorial Theory. Series A 26 Proceedings of the American Mathematical Society 25 The Electronic Journal of Combinatorics 24 Discrete Mathematics 24 Journal of Number Theory 19 Journal of Mathematical Physics 18 Duke Mathematical Journal 15 Mathematische Annalen 15 Journal of Physics A: Mathematical and Theoretical 14 Advances in Applied Mathematics 14 Journal of the American Mathematical Society 14 Journal of Mathematical Sciences (New York) 13 Compositio Mathematica 13 Annals of Mathematics. Second Series 12 Journal of Statistical Mechanics: Theory and Experiment 11 Mathematische Zeitschrift 11 New Journal of Physics 10 Bulletin of the American Mathematical Society. New Series 10 Journal of Algebraic Combinatorics 10 Journal of High Energy Physics 9 Communications in Algebra 9 Journal of Statistical Physics 9 Journal of Group Theory 9 Journal of the European Mathematical Society (JEMS) 9 Algebraic & Geometric Topology 9 International Journal of Number Theory 9 Forum of Mathematics, Sigma 8 Annales de l’Institut Fourier 8 Bulletin of the London Mathematical Society 8 Graphs and Combinatorics 8 International Journal of Algebra and Computation 8 Selecta Mathematica. New Series 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 The Annals of Probability 7 Journal of the London Mathematical Society. Second Series 7 Journal für die Reine und Angewandte Mathematik 7 Manuscripta Mathematica 7 Theoretical Computer Science 7 European Journal of Combinatorics 7 Probability Theory and Related Fields 7 Journal of Knot Theory and its Ramifications 7 Journal de Théorie des Nombres de Bordeaux 7 Quantum Information Processing 7 Journal of the Institute of Mathematics of Jussieu 6 Letters in Mathematical Physics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Linear Algebra and its Applications 6 Finite Fields and their Applications 6 Documenta Mathematica 6 Geometry & Topology 6 Journal of Algebra and its Applications 5 Discrete Applied Mathematics 5 Glasgow Mathematical Journal 5 Journal of Pure and Applied Algebra 5 SIAM Journal on Discrete Mathematics 5 Geometric and Functional Analysis. GAFA 5 Annals of Combinatorics 5 International Journal of Quantum Information 4 Acta Arithmetica 4 Archiv der Mathematik 4 Proceedings of the London Mathematical Society. Third Series 4 Siberian Mathematical Journal 4 Random Structures & Algorithms 4 The Annals of Applied Probability 4 Journal of Algebraic Geometry 4 Bulletin des Sciences Mathématiques 4 Japanese Journal of Mathematics. 3rd Series 4 Algebraic Combinatorics 3 International Journal of Modern Physics B 3 Nuclear Physics. B 3 Reviews of Modern Physics 3 Russian Mathematical Surveys 3 Mathematics of Computation 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Functiones et Approximatio. Commentarii Mathematici 3 Geometriae Dedicata 3 Journal of Combinatorial Theory. Series B 3 Journal of Functional Analysis 3 Journal of Graph Theory 3 Mathematische Nachrichten 3 Mathematika 3 Memoirs of the American Mathematical Society 3 Michigan Mathematical Journal 3 Monatshefte für Mathematik 3 Journal of the Ramanujan Mathematical Society 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Transformation Groups 3 Representation Theory 3 The Ramanujan Journal 3 Algebras and Representation Theory 3 Physical Review Letters 3 Oberwolfach Reports 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Proceedings of the Steklov Institute of Mathematics ...and 147 more Serials all top 5 Cited in 48 Fields 326 Group theory and generalizations (20-XX) 284 Combinatorics (05-XX) 254 Algebraic geometry (14-XX) 247 Number theory (11-XX) 137 Quantum theory (81-XX) 117 Statistical mechanics, structure of matter (82-XX) 90 Probability theory and stochastic processes (60-XX) 71 Topological groups, Lie groups (22-XX) 66 Manifolds and cell complexes (57-XX) 65 Category theory; homological algebra (18-XX) 57 Convex and discrete geometry (52-XX) 55 Associative rings and algebras (16-XX) 47 Computer science (68-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 34 Nonassociative rings and algebras (17-XX) 30 \(K\)-theory (19-XX) 27 Information and communication theory, circuits (94-XX) 24 Commutative algebra (13-XX) 23 Field theory and polynomials (12-XX) 23 Algebraic topology (55-XX) 20 Dynamical systems and ergodic theory (37-XX) 14 Several complex variables and analytic spaces (32-XX) 14 Special functions (33-XX) 12 Functions of a complex variable (30-XX) 11 Mathematical logic and foundations (03-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Functional analysis (46-XX) 8 General and overarching topics; collections (00-XX) 8 Relativity and gravitational theory (83-XX) 8 Operations research, mathematical programming (90-XX) 7 Geometry (51-XX) 7 Differential geometry (53-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Partial differential equations (35-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 History and biography (01-XX) 4 Numerical analysis (65-XX) 3 Ordinary differential equations (34-XX) 3 Abstract harmonic analysis (43-XX) 3 Mechanics of particles and systems (70-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 1 General algebraic systems (08-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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