# Andreas Thom

German mathematician

## Andreas Thom 's AcademicInfluence.com Rankings

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Mathematics

## Why Is Andreas Thom Influential?

(Suggest an Edit or Addition)According to Wikipedia, Andreas Thom is a German mathematician, working on geometric group theory, algebraic topology, ergodic theory of group actions, and operator algebras. Education and career Thom received in 2000 his Certificate of Advanced Study in Mathematics from the University of Cambridge. In 2003 he obtained his doctorate from the University of Münster with thesis advisor Joachim Cuntz and thesis Connective E-Theory and Bivariant Homology for C*-Algebra. He was a Postdoc 2003–2005 at the University of Münster, and 2005–2007 at the University of Göttingen. From 2007 to 2009 he was a junior professor for Geometrical Aspects of Pure Mathematics at the University of Göttingen. After being promoted to assistant professor in Göttingen, he moved in 2009 to become a full professor for Theoretical Mathematics at the University of Leipzig. In 2014 he moved for a full professorship in Geometry to the TU Dresden.

## Andreas Thom 's Published Works

### Published Works

- Group cocycles and the ring of affiliated operators (2007) (119)
- Probing Projections: Interaction Techniques for Interpreting Arrangements and Errors of Dimensionality Reductions (2016) (104)
- On Ulam stability (2010) (86)
- Polynomials with and without determinantal representations (2010) (59)
- ENTROPY, DETERMINANTS, AND L 2 -TORSION (2012) (50)
- Sofic groups and diophantine approximation (2007) (50)
- STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS (2017) (50)
- Stability and invariant random subgroups (2018) (46)
- Spectrahedral Containment and Operator Systems with Finite-Dimensional Realization (2016) (46)
- Towards Intelligent Team Composition and Maneuvering in Real-Time Strategy Games (2010) (45)
- Bivariant algebraic K-theory (2006) (44)
- Character rigidity for special linear groups (2013) (43)
- Intelligent moving of groups in real-time strategy games (2008) (42)
- Examples of hyperlinear groups without factorization property (2008) (40)
- Convergent Sequences in Discrete Groups (2010) (40)
- L2-Cohomology for Von Neumann Algebras (2008) (36)
- Algebraic K -theory and locally convex algebras (2005) (34)
- Benjamini-Schramm convergence and pointwise convergence of the spectral measure (2014) (32)
- FINITARY APPROXIMATIONS OF GROUPS AND THEIR APPLICATIONS (2017) (32)
- Determinantal Representations and the Hermite Matrix (2011) (32)
- Of motifs and goals: mining trajectory data (2012) (31)
- Comparison between algebraic and topological K-theory of locally convex algebras☆ (2006) (30)
- Homology of free quantum groups (2009) (29)
- On the lattice of normal subgroups in ultraproducts of compact simple groups (2012) (27)
- Can you compute the operator norm (2012) (27)
- About the metric approximation of Higman's group (2010) (27)
- About Goto's method showing surjectivity of word maps (2012) (26)
- Divisibility and laws in finite simple groups (2014) (24)
- LOW DEGREE BOUNDED COHOMOLOGY AND L 2 -INVARIANTS FOR NEGATIVELY CURVED GROUPS (2007) (24)
- A spectral sequence to compute L2‐Betti numbers of groups and groupoids (2007) (23)
- Some remarks on the entropy for algebraic actions of amenable groups (2013) (22)
- OPERATOR ALGEBRAIC APPROACH TO INVERSE AND STABILITY THEOREMS FOR AMENABLE GROUPS (2017) (22)
- New topological methods to solve equations over groups (2015) (21)
- On Følner sets in topological groups (2016) (21)
- Detecting Quasars in Large-Scale Astronomical Surveys (2010) (20)
- L 2-invariants and Rank Metric (2006) (19)
- Normal generation and $$\ell ^2$$-Betti numbers of groups (2011) (18)
- Duality for topological abelian group stacks and T-duality (2007) (18)
- A remark about the Connes fusion tensor product (2006) (17)
- Real Closed Separation Theorems and Applications to Group Algebras (2011) (16)
- About the length of laws for finite groups (2015) (16)
- Bounded normal generation and invariant automatic continuity (2015) (15)
- L^2-cohomology for von Neumann algebras (2006) (15)
- Some remarks on finitarily approximable groups (2017) (15)
- Kazhdan’s Property (T) via Semidefinite Optimization (2014) (15)
- Making Sense of Trajectory Data in Indoor Spaces (2015) (14)
- Hyperbolic Polynomials and Generalized Clifford Algebras (2012) (14)
- A remark about the spectral radius (2013) (14)
- Invariant coupling of determinantal measures on sofic groups (2014) (14)
- Jost B\"urgi's Method for Calculating Sines (2015) (13)
- Equivariant differential cohomology (2015) (13)
- L2 ‐Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices (2016) (13)
- On the length of the shortest non-trivial element in the derived and the lower central series (2013) (12)
- Palindromic words in simple groups (2014) (12)
- On the L\'evy-Khinchin decomposition of generating functionals (2015) (11)
- Cantor systems and quasi‐isometry of groups (2015) (11)
- A note on commutators in algebras of unbounded operators (2019) (10)
- Algebraic geometry of topological spaces I (2009) (10)
- An exotic group as limit of finite special linear groups (2016) (10)
- The expected degree of minimal spanning forests (2013) (9)
- Metric ultraproducts of finite simple groups (2014) (9)
- A comparison of location search UI patterns on mobile devices (2014) (7)
- To model or not to model: Controlling Pac-Man ghosts without incorporating global knowledge (2008) (7)
- Tracial algebras and an embedding theorem (2010) (7)
- Short laws for finite groups and residual finiteness growth (2017) (7)
- Some geometric properties of metric ultraproducts of finite simple groups (2016) (6)
- Universal solvability of group equations (2018) (6)
- The Liouville property and random walks on topological groups (2019) (6)
- Heattile, a New Method for Heatmap Implementations for Mobile Web-Based Cartographic Applications (2014) (5)
- Quadratic modules, 𝐶*-algebras, and free convexity (2016) (5)
- Is an Irng singly Generated as an Ideal? (2011) (5)
- L 2 -BETTI NUMBERS FOR SUBFACTORS (2006) (5)
- Topological matchings and amenability (2015) (5)
- Bounded normal generation for projective unitary groups of certain infinite operator algebras (2016) (4)
- Unitarizability, Maurey–Nikishin factorization, and Polish groups of finite type (2016) (4)
- Aspects of $p$-adic operator algebras (2019) (4)
- A Hochschild-Serre spectral sequence for extensions of discrete measured groupoids (2007) (4)
- Formulating Szemerédi’s Theorem in Terms of Ultrafilters (2012) (4)
- Asymptotics of Cheeger constants and unitarisability of groups (2018) (4)
- Acceleration of DBSCAN-Based Clustering with Reduced Neighborhood Evaluations (2010) (4)
- On projections of free semialgebraic sets (2017) (3)
- Applications of Foelner's condition to quantum groups (2009) (3)
- Short Laws for Finite Groups of Lie Type (2018) (3)
- A new proof of extreme amenability of the unitary group of the hyperfinite II$_1$-factor (2015) (3)
- Deviation maps for robust and informed indoor positioning services (2017) (2)
- About the solvability of matrix polynomial equations (2016) (2)
- A note on normal generation and generation of groups (2014) (2)
- Equivariant characteristic forms in the Cartan model and Borel equivariant cohomology (2015) (2)
- A note on the normal subgroup lattice of ultraproducts of finite quasisimple groups (2017) (2)
- Inapproximability of actions and Kazhdan's property (T) (2019) (2)
- Finite-dimensional Approximations of Discrete Groups (2011) (1)
- On Exotic Manifolds (2015) (1)
- Normal generation and (cid:2) 2 -Betti numbers of groups (2013) (1)
- Measured Group Theory (2016) (1)
- Bounded Cohomology and L 2 -invariants (2008) (1)
- Positivstellens\"atze for Quantum Multigraphs (2013) (1)
- Approximation of functions by neural networks (2019) (1)
- A pr 2 01 9 Aspects of p-adic operator algebras (1)
- Word images in symmetric and unitary groups are dense (2018) (1)
- Providing Information by Resource- Constrained Data Analysis (2011) (1)
- On Ulam stability (2012) (0)
- Hyperbolic Polynomials and Generalized Clifford Algebras (2014) (0)
- Word images in symmetric and classical groups of Lie type are dense (2018) (0)
- G R ] 1 5 Fe b 20 18 Stability , cohomology vanishing , and non-approximable groups (0)
- Maximal Discrete Subgroups in Unitary Groups of Operator Algebras (2022) (0)
- Some thoughts and experiments on Bergman's compact amalgamation problem (2023) (0)
- Fe b 20 18 Stability and Invariant Random Subgroups (2018) (0)
- On the isometrisability of group representations on p-spaces (2021) (0)
- On the isometrisability of group actions on p-spaces (2019) (0)
- About the length of laws for finite groups (2017) (0)
- Integer operators in finite von Neumann algebras (2007) (0)
- Some geometric properties of metric ultraproducts of finite simple groups (2018) (0)
- ABOUT THE CONNES FUSION TENSOR PRODUCT (2011) (0)
- Workshop : Finite-dimensional Approximations of Discrete Groups Table of Contents (2011) (0)
- Noncommutative L p-spaces , Operator spaces and Applications June 27-July 2 , 2010 (0)
- On a conjecture of Gottlieb (2007) (0)
- D ec 2 01 7 Finitary approximations of groups and their applications (0)
- On groups with countable cofinality and unbounded Cayley graphs (2018) (0)
- About a conjecture of Daniel H. Gottlieb (2007) (0)
- Communications in Mathematics (2018) (0)
- The expected degree of minimal spanning forests (2016) (0)
- Common transversals for coset spaces of compact groups (2023) (0)
- Word maps with constants on symmetric groups (2022) (0)
- Divisibility and laws in finite simple groups (2015) (0)
- Group Theory, Measure, and Asymptotic Invariants (2013) (0)
- Orthodontic development (1998) (0)
- C*-Algebras (2020) (0)
- Spectrahedral Shadows and Completely Positive Maps on Real Closed Fields (2022) (0)
- Groups, Dynamics, and Approximation (2020) (0)
- Intelligent group movement and selection in realtime strategy games (2008) (0)
- PG511 - CI in Games (2007) (0)

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