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• Spectral shift via "lateral" perturbation.  Journal of Spectral Theory.  12:83-104. 2022
• Modeling and simulation of thin sheet folding.  Interfaces and Free Boundaries.  24:459-485. 2022
• Sparse versions of the Cayley-Bacharach theorem.  Portugaliae Mathematica.  78:129-146. 2021
• Asymptotic expansions in time for rotating incompressible viscous fluids.  Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire.  38:109-137. 2021
• The fifth moment of modular L-functions.  Journal of the European Mathematical Society.  23:237-314. 2021
• Edge-localized states on quantum graphs in the limit of large mass.  Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire.  38:1295-1335. 2021
• The sharp constant in the weak (1,1) inequality for the square function: a new proof.  Revista Matematica Iberoamericana.  36:741-770. 2020
• On topological full groups of Z(d)-actions.  Groups, Geometry, and Dynamics.  14:61-79. 2020
• Mathematical Advances in Geophysical Fluid Dynamics.  Oberwolfach Reports.  17:857-876. 2020
• Upper bounds on the spectral gaps of quasi-periodic Schrodinger operators with Lionville frequencies.  Journal of Spectral Theory.  9:1223-1248. 2019
• An effective criterion for Eulerian multizeta values in positive characteristic.  Journal of the European Mathematical Society.  21:405-440. 2019
• Symmetry and Dirac points in graphene spectrum 2018
• Completely symmetric resistance forms on the stretched Sierpinski gasket.  Journal of Fractal Geometry.  5:227-277. 2018
• On a linearization trick 2018
• Non-commutative Geometry, Index Theory and Mathematical Physics.  Oberwolfach Reports.  15:1911-1981. 2018
• Turaev-Viro invariants, colored Jones polynomials, and volume.  Quantum Topology.  9:775-813. 2018
• Volume conjectures for the Reshetikhin-Turaev and the Turaev-Viro invariants.  Quantum Topology.  9:419-460. 2018
• Gerstenhaber brackets on Hochschild cohomology of twisted tensor products.  Journal of Noncommutative Geometry.  11:1351-1379. 2017
• Green's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral gap interior.  Journal of Spectral Theory.  7:1171-1233. 2017
• SO(N)(2) braid group representations are Gaussian.  Quantum Topology.  8:1-33. 2017
• Weyl-type hybrid subconvexity bounds for twisted L-functions and Heegner points on shrinking sets.  Journal of the European Mathematical Society.  19:1545-1576. 2017
• OPERATOR-VALUED MONOTONE CONVOLUTION SEMIGROUPS AND AN EXTENSION OF THE BERCOVICI-PATA BIJECTION.  DOCUMENTA MATHEMATICA.  21:841-872. 2016
• Anderson localization for the almost Mathieu operator in the exponential regime.  Journal of Spectral Theory.  5:89-112. 2015
• Spectral gaps of almost Mathieu operators in the exponential regime.  Journal of Fractal Geometry.  2:1-51. 2015
• On the radius of analyticity of solutions to the cubic Szego equation.  Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire.  32:97-108. 2015
• Inverse eigenvalue problem for a simple star graph.  Journal of Spectral Theory.  5:363-380. 2015
• Noncommutative Geometry.  Oberwolfach Reports.  12:1631-1700. 2015
• On growth of random groups of intermediate growth.  Groups, Geometry, and Dynamics.  8:643-667. 2014
• Hyperbolic groupoids: metric and measure.  Groups, Geometry, and Dynamics.  8:883-932. 2014
• On the singular values of random matrices.  Journal of the European Mathematical Society.  16:823-834. 2014
• Quantum expanders and geometry of operator spaces.  Journal of the European Mathematical Society.  16:1183-1219. 2014
• Pointwise bounds and blow-up for nonlinear polyharmonic inequalities.  Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire.  30:1069-1096. 2013
• Discrete groups with finite decomposition complexity.  Groups, Geometry, and Dynamics.  7:377-402. 2013
• The odd-dimensional analogue of a theorem of Getzler and Wu.  Journal of Noncommutative Geometry.  7:647-676. 2013
• Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program.  Commentarii Mathematici Helvetici.  88:469-484. 2013
• Noncommutative Geometry.  Oberwolfach Reports.  10:2553-2629. 2013
• Nilsson solutions for irregular A-hypergeometric systems.  Revista Matematica Iberoamericana.  28:723-758. 2012
• A quaternionic braid representation (after Goldschmidt and Jones).  Quantum Topology.  2:173-182. 2011
• Noncommutative Geometry.  Oberwolfach Reports.  2549-2622. 2011
• Scale-invariant groups 2011
• Mixed finite element method for electrowetting on dielectric with contact line pinning.  Interfaces and Free Boundaries.  12:85-119. 2010
• Free subgroups in groups acting on rooted trees.  Groups, Geometry, and Dynamics.  4:847-862. 2010
• On a series of finite automata defining free transformation groups.  Groups, Geometry, and Dynamics.  4:377-405. 2010
• The second moment of quadratic twists of modular L-functions.  Journal of the European Mathematical Society.  12:1097-1116. 2010
• Global attraction to solitary waves for KleinGordon equation with mean field interaction.  Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire.  26:855-868. 2009
• Iterated monodromy groups of quadratic polynomials, I.  Groups, Geometry, and Dynamics.  309-336. 2008
• Multiplication operators on L(L-p) and l(p)-strictly singular operators.  Journal of the European Mathematical Society.  10:1105-1119. 2008
• A similarity degree characterization of nuclear C*-algebras.  Publications of the Research Institute for Mathematical Sciences.  42:691-704. 2006
• Harmonic Analysis of the space BV.  Revista Matematica Iberoamericana.  19:235-263. 2003
• Local behavior and global existence of positive solutions of au(lambda) <=-triangle u <= u(lambda).  Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire.  19:889-901. 2002
• Partition-dependent stochastic measures and $q$-deformed cumulants.  Documenta Mathematica.  6:343-384. 2001
• Phenomenological modelling of polymer crystallization using the notion of multiple natural configurations.  Interfaces and Free Boundaries.  2:73-94. 2000
• ETALE DESCENT FOR HOCHSCHILD AND CYCLIC HOMOLOGY.  Commentarii Mathematici Helvetici.  66:368-388. 1991
• Power series with integer coefficients in several variables.  Commentarii Mathematici Helvetici.  62:602-615. 1987
• Oscillations of BV measures on unbounded nested fractals.  Journal of Fractal Geometry. 
• Universal reflective-hierarchical structure of quasiperiodic eigenfunctions and sharp spectral transition in phase.  Journal of the European Mathematical Society. 
• A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives.  3-30. 2020
• On resonant spectral gaps in quantum graphs.  213-222. 2017