Publications

Research

Below is my complete list of publications. See also: Google Scholar, ORCID, arXiv.

  1. [112] V Alekseev, A Thom. Remarks on approximability and stability for groups. arXiv:2512.15494. [arXiv]
  2. [111] V Alekseev, A Thom. On finite local approximations of isometric actions of residually finite groups. arXiv:2512.14147. [arXiv]
  3. [110] A Thom. On planar sections of the dodecahedron. arXiv:2511.12773. [arXiv]
  4. [109] A Thom. The anabelian restricted Burnside problem. arXiv:2509.05242. [arXiv]
  5. [108] H Ando, A Thom. Common transversals for coset spaces of compact groups. Groups, Geometry, and Dynamics 19 (2), 397-414 (2025). [arXiv]
  6. [107] V Alekseev, J Schneider, A Thom. On the asymptotic equidistribution of word values in symmetric groups. arXiv:2507.13928. [arXiv]
  7. [106] H Bradford, J Schneider, A Thom. The length of mixed identities for finite groups. Journal of Algebra 670, 13-47 (2025). [arXiv]
  8. [105] A Thom. On finite approximations of transitive graphs. arXiv:2502.06144. [arXiv]
  9. [104] A Jamneshan, A Thom. Quadratic maps between non-abelian groups. arXiv:2412.14908. [arXiv]
  10. [103] B De Bondt, A Thom. On automorphism groups of metric reduced products of symmetric groups. arXiv:2412.10802. [arXiv]
  11. [102] M Joswig, M Kummer, A Thom, CH Yun. Some thoughts and experiments on Bergman’s compact amalgamation problem. Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry 65, 789-807 (2024). [arXiv]
  12. [101] V Alekseev, H Ando, FM Schneider, A Thom. Amenability and skew-amenability of actions of topological groups. arXiv:2412.00438. [arXiv]
  13. [100] M Bodirsky, M Kummer, A Thom. Spectrahedral shadows and completely positive maps on real closed fields. Journal of the European Mathematical Society (2024). [arXiv]
  14. [99] H Bradford, J Schneider, A Thom. On the length of nonsolutions to equations with constants in some linear groups. Bulletin of the London Mathematical Society 56 (7), 2338-2349 (2024). [arXiv]
  15. [98] V Alekseev, A Thom. On non-isomorphic universal sofic groups. arXiv:2406.06741. [arXiv]
  16. [97] L Gohla, A Thom. High-dimensional expansion and soficity of groups. arXiv:2403.09582. [arXiv]
  17. [96] M Bodirsky, J Schneider, A Thom. Mixed identities for oligomorphic automorphism groups. The Journal of Symbolic Logic (FirstView), 1-23 (2025). [arXiv]
  18. [95] J Schneider, A Thom. Word maps with constants on symmetric groups. Mathematische Nachrichten 297 (1), 165-173 (2024). [arXiv]
  19. [94] H Bradford, J Schneider, A Thom. Non-singular word maps for linear groups. arXiv:2311.03981. [arXiv]
  20. [93] V Alekseev, A Carderi, A Thom, R Tucker-Drob. About discrete subgroups of full groups of measure preserving equivalence relations. arXiv:2309.08400. [arXiv]
  21. [92] DL Shlyakhtenko, AB Thom, S Vaes, W Winter. C*-Algebras. Oberwolfach Reports 19 (3), 2059-2127 (2023).
  22. [91] V Alekseev, M Schmidt, A Thom. Amenability for unitary groups of C*-algebras. Münster Journal of Mathematics, to appear. [arXiv]
  23. [90] T Drescher, T Netzer, A Thom. On projections of free semialgebraic sets. Advances in Geometry 23 (2), 207-214 (2023). [arXiv]
  24. [89] V Alekseev, A Thom. Maximal discrete subgroups in unitary groups of operator algebras. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 18, 052 (2022). [arXiv]
  25. [88] M Nitsche, A Thom. Universal solvability of group equations. Journal of Group Theory 25 (1), 1-10 (2022). [arXiv]
  26. [87] M Gerasimova, A Thom. On the isometrisability of group representations on p-spaces. Journal of Operator Theory 86 (1), 51-60 (2021). [arXiv]
  27. [86] J Schneider, A Thom. A note on the normal subgroup lattice of ultraproducts of finite quasisimple groups. Proceedings of the American Mathematical Society 149 (5), 1929-1942 (2021). [arXiv]
  28. [85] E Breuillard, A Furman, N Monod, A Thom. Groups, Dynamics, and Approximation. Oberwolfach Reports 16 (4), 3409-3458 (2020).
  29. [84] FM Schneider, A Thom. The Liouville property and random walks on topological groups. Commentarii Mathematici Helvetici 95 (3), 483-513 (2020). [arXiv]
  30. [83] M Rørdam, DL Shlyakhtenko, A Thom, S Vaes. C*-Algebras. Oberwolfach Reports 16 (3), 2257-2332 (2020).
  31. [82] M Gerasimova, D Gruber, N Monod, A Thom. Asymptotics of Cheeger constants and unitarisability of groups. Journal of Functional Analysis 278 (11), 108457 (2020). [arXiv]
  32. [81] RV Kadison, Z Liu, A Thom. A note on commutators in algebras of unbounded operators. Expositiones Mathematicae 38 (2), 232-239 (2020). [arXiv]
  33. [80] A Claußnitzer, A Thom. Aspects of p-adic operator algebras. Münster Journal of Mathematics 13, 425-444 (2020). [arXiv]
  34. [79] M De Chiffre, L Glebsky, A Lubotzky, A Thom. Stability, cohomology vanishing, and nonapproximable groups. Forum of Mathematics, Sigma 8 (2020). [arXiv]
  35. [78] PA Dowerk, A Thom. Bounded normal generation and invariant automatic continuity. Advances in Mathematics 346, 124-169 (2019). [arXiv]
  36. [77] A Thom. Approximation of functions by neural networks. arXiv:1901.10267. [arXiv]
  37. [76] G Kun, A Thom. Inapproximability of actions and Kazhdan's property (T). arXiv:1901.03963. [arXiv]
  38. [75] O Becker, A Lubotzky, A Thom. Stability and invariant random subgroups. Duke Mathematical Journal 168 (12), 2207-2234 (2019). [arXiv]
  39. [74] M De Chiffre, N Ozawa, A Thom. Operator algebraic approach to inverse and stability theorems for amenable groups. Mathematika 65 (1), 98-118 (2019). [arXiv]
  40. [73] H Bradford, A Thom. Short laws for finite groups and residual finiteness growth. Transactions of the American Mathematical Society 371 (9), 6447-6462 (2019). [arXiv]
  41. [72] V Alekseev, T Netzer, A Thom. Quadratic modules, C*-algebras, and free convexity. Transactions of the American Mathematical Society 372 (11), 7525-7539 (2019). [arXiv]
  42. [71] H Bradford, A Thom. Short laws for finite groups of Lie type. Journal of the European Mathematical Society (2024), published online 7 November 2024. [arXiv]
  43. [70] A Thom, J Wilson. Some geometric properties of metric ultraproducts of finite simple groups. Israel Journal of Mathematics 227 (1), 113-129 (2018). [arXiv]
  44. [69] HD Petersen, R Sauer, A Thom. L²-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices. Journal of Topology 11 (1), 257-282 (2018). [arXiv]
  45. [68] J Schneider, A Thom. Word images in symmetric and classical groups of Lie type are dense. Pacific Journal of Mathematics 311 (2), 475-504 (2021). [arXiv]
  46. [67] A Thom. Finitary approximations of groups and their applications. Proc. Int. Cong. of Math. 2018 Rio de Janeiro 2, 1775-1796 (2018). [arXiv]
  47. [66] N Nikolov, J Schneider, A Thom. Some remarks on finitarily approximable groups. J. Éc. polytech. Math. 5, 239-258 (2018). [arXiv]
  48. [65] FM Schneider, A Thom. On Følner sets in topological groups. Compos. Math. 152 (7), 1333-1361 (2018). [arXiv]
  49. [64] A Kübel, A Thom. Equivariant Differential Cohomology. Trans. Amer. Math. Soc. 370 (11), 8237-8283 (2018). [arXiv]
  50. [63] U Franz, M Gerhold, A Thom. On the Lévy-Khinchin decomposition of generating functionals. Commun. Stoch. Anal. 9 (4), 529-544 (2018). [arXiv]
  51. [62] T Fritz, T Netzer, A Thom. Spectrahedral containment and operator systems with finite-dimensional realization. SIAM Journal on Applied Algebra and Geometry 1 (1), 556-574 (2017). [arXiv]
  52. [61] T Netzer, A Thom. About the solvability of matrix polynomial equations. Bulletin of the London Mathematical Society 49 (4), 670-675 (2017). [arXiv]
  53. [60] K Medynets, R Sauer, A Thom. Cantor systems and quasi-isometry of groups. Bulletin of the London Mathematical Society 49 (4), 709-724 (2017). [arXiv]
  54. [59] PA Dowerk, A Thom. Bounded normal generation for projective unitary groups of certain infinite operator algebras. International Mathematics Research Notices 2018 (24), 7642-7654 (2017). [arXiv]
  55. [58] M Abért, D Gaboriau, A Thom. Measured Group Theory. Oberwolfach Reports 13 (3), 2347-2397 (2017).
  56. [57] A Thom. About the length of laws for finite groups. Israel Journal of Mathematics 219 (1), 469-478 (2017). [arXiv]
  57. [56] A Klyachko, A Thom. New topological methods to solve equations over groups. Algebraic & Geometric Topology 17 (1), 331-353 (2017). [arXiv]
  58. [55] AD Törnquist, A Thom, H Ando, Y Matsuzawa. Unitarizability, Maurey--Nikishin factorization, and Polish groups of finite type. Journal für die reine und angewandte Mathematik (2017). [arXiv]
  59. [54] FM Schneider, A Thom. Topological matchings and amenability. Fundamenta Mathematicae 238, 167-200 (2017). [arXiv]
  60. [53] A Thom. The expected degree of minimal spanning forests. Combinatorica 36 (5), 591-600 (2016). [arXiv]
  61. [52] J Peterson, A Thom. Character rigidity for special linear groups. Journal für die reine und angewandte Mathematik (Crelles Journal) 716, 207-228 (2016). [arXiv]
  62. [51] R Lyons, A Thom. Invariant coupling of determinantal measures on sofic groups. Ergodic Theory and Dynamical Systems 36 (02), 574-607 (2016). [arXiv]
  63. [50] A Carderi, A Thom. An exotic group as limit of finite special linear groups. Annales Institut Fourier 68 (1), 257-273 (2016). [arXiv]
  64. [49] G Kozma, A Thom. Divisibility and laws in finite simple groups. Mathematische Annalen 364 (1-2), 79-95 (2016). [arXiv]
  65. [48] M Rordam, A Thom, S Vaes, DV Voiculescu. C*-Algebras. Oberwolfach Reports 13 (3), 2269-2345 (2016).
  66. [47] M Folkerts, D Launert, A Thom. Jost Bürgi's Method for Calculating Sines. Historia Mathematika 43 (2), 133-147 (2016). [arXiv]
  67. [46] A Elkasapy, A Thom. On the length of the shortest non-trivial element in the derived and the lower central series. Journal of Group Theory 18 (5), 793-804 (2015). [arXiv]
  68. [45] A Kübel, A Thom. Equivariant characteristic forms in the Cartan model and Borel equivariant cohomology. arXiv:1508.07847. [arXiv]
  69. [44] T Netzer, A Thom. Kazhdan’s Property (T) via semidefinite optimization. Experimental Mathematics 24 (3), 371-374 (2015). [arXiv]
  70. [43] E Fink, A Thom. Palindromic words in simple groups. International Journal of Algebra and Computation 25 (03), 439-444 (2015). [arXiv]
  71. [42] T Netzer, A Thom. Positivstellensätze for Quantum Multigraphs. Journal of Algebra 422, 504-519 (2015). [arXiv]
  72. [41] PA Dowerk, A Thom. A new proof of extreme amenability of the unitary group of the hyperfinite II_1-factor. Bull. Belg. Math. Soc. Simon Stevin 22 (5), 837-841 (2015). [arXiv]
  73. [40] A Thom. A note on normal generation and generation of groups. Communications in Mathematics 23 (1), 1-11 (2015). [arXiv]
  74. [39] A Thom. A remark about the spectral radius. International Mathematics Research Notices 2015 (10), 2856-2864 (2015). [arXiv]
  75. [38] NP Chung, A Thom. Some remarks on the entropy for algebraic actions of amenable groups. Transactions of the American Mathematical Society 367 (12), 8579-8595 (2015). [arXiv]
  76. [37] M Abért, D Gaboriau, A Thom. Group Theory, Measure, and Asymptotic Invariants. Oberwolfach Reports 10 (3), 2375-2422 (2014).
  77. [36] A Thom, JS Wilson. Metric ultraproducts of finite simple groups. Comptes Rendus Mathématique 352 (6), 463-466 (2014). [arXiv]
  78. [35] T Netzer, A Thom. Hyperbolic polynomials and generalized Clifford algebras. Discrete & Computational Geometry 51 (4), 802-814 (2014). [arXiv]
  79. [34] A Stolz, A Thom. On the lattice of normal subgroups in ultraproducts of compact simple groups. Proceedings of the London Mathematical Society 108 (1), 73-102 (2014). [arXiv]
  80. [33] H Li, A Thom. Entropy, determinants, and L²-torsion. Journal of the American Mathematical Society 27 (1), 239-292 (2014). [arXiv]
  81. [32] A Elkasapy, A Thom. About Goto's method showing surjectivity of word maps. Indiana University Mathematics Journal, 1553-1565 (2014). [arXiv]
  82. [31] T Fritz, T Netzer, A Thom. Can you compute the operator norm?. Proceedings of the American Mathematical Society 142 (12), 4265-4276 (2014). [arXiv]
  83. [30] M Burger, N Ozawa, A Thom. On Ulam stability. Israel Journal of Mathematics 193 (1), 109-129 (2013). [arXiv]
  84. [29] T Netzer, A Thom. Real Closed Separation Theorems and Applications to Group Algebras. Pacific Journal of Mathematics 263 (2), 435-452 (2013). [arXiv]
  85. [28] D Osin, A Thom. Normal generation and L²-betti numbers of groups. Math. Ann. 355 (4), 1331-1347 (2013). [arXiv]
  86. [27] T Netzer, D Plaumann, A Thom. Determinantal Representations and the Hermite Matrix. Michigan Math. J. 62 (2), 407-420 (2013). [arXiv]
  87. [26] D Kyed, A Thom. Applications of Følner's condition to quantum groups. J. Noncommut. Geom. 7 (2), 547-561 (2013). [arXiv]
  88. [25] A Thom. Convergent sequences in discrete groups. Canad. Math. Bull. 56 (2), 424-433 (2013). [arXiv]
  89. [24] G Cortiñas, A Thom. Algebraic Geometry of Topological Spaces I. Acta Math. 209 (1), 83-131 (2012). [arXiv]
  90. [23] A Thom. About the metric approximation of Higman's group. J. Group Theory 15 (2), 301-310 (2012). [arXiv]
  91. [22] N Monod, N Ozawa, A Thom. Is an irng singly generated as an ideal?. International Journal of Algebra and Computation 22 (4), 1250036 (2012). [arXiv]
  92. [21] T Netzer, A Thom. Polynomials with and without determinantal representations. Linear Algebra and its Applications 437, 1579-1595 (2012). [arXiv]
  93. [20] J Peterson, A Thom. Group cocycles and the ring of affiliated operators. Inventiones Mathematicae 185 (3), 561-592 (2011). [arXiv]
  94. [19] M Abért, A Thom, B Virág. Benjamini-Schramm convergence and pointwise convergence of the spectral measure. preprint (2011).
  95. [18] G Arzhantseva, A Thom, A Valette. Finite-dimensional Approximations of Discrete Groups. Oberwolfach Reports 8 (2), 1429-1467 (2011).
  96. [17] A Thom. A remark about the Connes fusion tensor product. Theory and Applications of Categories 25 (2), 38-50 (2011). [arXiv]
  97. [16] A Thom. Integer operators in finite von Neumann algebras. J. Topology & Analysis 3 (4), 433-450 (2011). [arXiv]
  98. [15] T Netzer, A Thom. Tracial algebras and an embedding theorem. Journal of Functional Analysis 259 (11), 2939-2960 (2010). [arXiv]
  99. [14] R Sauer, A Thom. A spectral sequence to compute L²-Betti numbers of groups and groupoids. Journal of the London Mathematical Society 81 (3), 747-773 (2010). [arXiv]
  100. [13] A Thom. Examples of hyperlinear groups without factorization property. Groups Geom. Dyn. 4 (1), 195-208 (2010). [arXiv]
  101. [12] B Collins, J Härtel, A Thom. Homology of free quantum groups. Comptes Rendus Mathematique 347 (5-6), 271-276 (2009). [arXiv]
  102. [11] A Thom. L²-Betti numbers for subfactors. J. Operator Theory 61 (2), 295-299 (2009). [arXiv]
  103. [10] A Thom. Low degree bounded cohomology and L²-invariants for negatively curved groups. Groups Geom. Dyn 3 (2), 343-358 (2009). [arXiv]
  104. [9] A Thom. Sofic groups and Diophantine approximation. Communications on Pure and Applied Mathematics 61 (8), 1155-1171 (2008). [arXiv]
  105. [8] G Cortiñas, A Thom. Comparison between algebraic and topological K-theory of locally convex algebras. Advances in Mathematics 218 (1), 266-307 (2008). [arXiv]
  106. [7] A Thom. L²-Cohomology for Von Neumann Algebras. Geometric And Functional Analysis 18 (1), 251-270 (2008). [arXiv]
  107. [6] A Thom. L²-invariants and Rank Metric. C*-algebras and Elliptic Theory II, 267-280 (2008). [arXiv]
  108. [5] G Cortiñas, A Thom. Bivariant algebraic K-theory. Journal für die reine und angewandte Mathematik (Crelles Journal) 610, 71-123 (2007). [arXiv]
  109. [4] U Bunke, T Schick, M Spitzweck, A Thom. Duality for topological abelian group stacks and T-duality. K-Theory and Noncommutative Geometry, EMS Series of Congress Reports, 227-347 (2007). [arXiv]
  110. [3] T Schick, A Thom. On a conjecture of Gottlieb. Algebraic & Geometric Topology 7, 779-784 (2007). [arXiv]
  111. [2] J Cuntz, A Thom. Algebraic K-theory and locally convex algebras. Mathematische Annalen 334 (2), 339-371 (2006). [arXiv]
  112. [1] A Thom. Connective E-theory and bivariant homology for C*-algebras. Ph. D. Thesis, Westfälische Wilhelms-Universität Münster (2003).