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Faculty Publications Faculty Publications A compilation of publications from 2011{2017∗ Department of Mathematics University of Illinois at Urbana-Champaign ∗Based on MathSciNet records as of May, 2017 Publications by Faculty S. Ahlgren (with J. Rouse), \Congruences for newforms and the index of the Hecke algebra," Proc. Amer. Math. Soc., vol. 139, no. 4, pp. 1247{1261, 2011. S. Ahlgren (with K. Bringmann, J. Lovejoy), \`-adic properties of smallest parts functions," Adv. Math., vol. 228, no. 1, pp. 629{645, 2011. S. Ahlgren, \Hecke relations for traces of singular moduli," Bull. Lond. Math. Soc., vol. 44, no. 1, pp. 99{105, 2012. S. Ahlgren (with B. Kim), \Mock modular grids and Hecke relations for mock modular forms," Forum Math., vol. 26, no. 4, pp. 1261{1287, 2014. S. Ahlgren (with N. Andersen), \Hecke grids and congruences for weakly holomorphic modular forms," in Ramanujan 125, vol. 627 of Contemp. Math., pp. 1{16, Amer. Math. Soc., Providence, RI, 2014. S. Ahlgren (with N. Andersen), \Euler-like recurrences for smallest parts functions," Ramanujan J., vol. 36, no. 1-2, pp. 237{248, 2015. S. Ahlgren (with B. Kim), \Mock theta functions and weakly holomorphic modular forms modulo 2 and 3," Math. Proc. Cambridge Philos. Soc., vol. 158, no. 1, pp. 111{129, 2015. S. Ahlgren (with B. Kim), \Dissections of a \strange" function," Int. J. Number Theory, vol. 11, no. 5, pp. 1557{1562, 2015. S. Ahlgren (with N. Andersen), \Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function," Res. Number Theory, vol. 1, pp. Art. 10, 16, 2015. S. Ahlgren (with N. Andersen), \Algebraic and transcendental formulas for the smallest parts function," Adv. Math., vol. 289, pp. 411{437, 2016. S. Ahlgren (with D. Samart), \A note on cusp forms as p-adic limits," J. Number Theory, vol. 168, pp. 360{373, 2016. S. Ahlgren (with N. Andersen), \Corrigendum to \Algebraic and transcendental formulas for the smallest parts function" [Adv. Math. 289 (2016) 411{437][ MR3439692]," Adv. Math., vol. 311, pp. 933{934, 2017. P. Albin (with R. Melrose), \Resolution of smooth group actions," in Spectral theory and geometric analysis, vol. 535 of Contemp. Math., pp. 1{26, Amer. Math. Soc., Providence, RI, 2011. P. Albin (with H. Christianson, J. L. Marzuola, L. Thomann), \Construction of nonlinear quasi- modes near elliptic periodic orbits," Phys. D, vol. 241, no. 4, pp. 409{425, 2012. P. Albin (with E. Leichtnam, R. Mazzeo, P. Piazza), \The signature package on Witt spaces," Ann. Sci. Ec.´ Norm. Sup´er.(4), vol. 45, no. 2, pp. 241{310, 2012. 1 P. Albin (with C. L. Aldana, F. Rochon), \Ricci flow and the determinant of the Laplacian on non-compact surfaces," Comm. Partial Differential Equations, vol. 38, no. 4, pp. 711{749, 2013. P. Albin (with C. Guillarmou, L. Tzou, G. Uhlmann), \Inverse boundary problems for systems in two dimensions," Ann. Henri Poincar´e, vol. 14, no. 6, pp. 1551{1571, 2013. P. Albin (with F. Rochon), \Some index formulae on the moduli space of stable parabolic vector bundles," J. Aust. Math. Soc., vol. 94, no. 1, pp. 1{37, 2013. P. Albin (with C. Aldana, F. Rochon), \Relatively isospectral noncompact surfaces," in Microlocal methods in mathematical physics and global analysis, Trends Math., pp. 87{89, Birkh¨auser/Springer,Basel, 2013. P. Albin (with M. Banagl, E. Leichtnam, R. Mazzeo, P. Piazza), “Refined intersection homology on non-Witt spaces," J. Topol. Anal., vol. 7, no. 1, pp. 105{133, 2015. P. Albin (with C. L. Aldana, F. Rochon), \Compactness of relatively isospectral sets of surfaces via conformal surgeries," J. Geom. Anal., vol. 25, no. 2, pp. 1185{1210, 2015. P. Albin (with J. Gell-Redman), \The index of Dirac operators on incomplete edge spaces," SIGMA Symmetry Integrability Geom. Methods Appl., vol. 12, pp. Paper No. 089, 45, 2016. P. B. Allen, \Modularity of nearly ordinary 2-adic residually dihedral Galois representations," Compos. Math., vol. 150, no. 8, pp. 1235{1346, 2014. P. B. Allen (with F. Calegari), \Finiteness of unramified deformation rings," Algebra Number Theory, vol. 8, no. 9, pp. 2263{2272, 2014. P. B. Allen, \Deformations of polarized automorphic Galois representations and adjoint Selmer groups," Duke Math. J., vol. 165, no. 13, pp. 2407{2460, 2016. M. Ando (with J. P. C. Greenlees), \Circle-equivariant classifying spaces and the rational equiv- ariant sigma genus," Math. Z., vol. 269, no. 3-4, pp. 1021{1104, 2011. M. Ando (with E. Sharpe), \Two-dimensional topological field theories as taffy," Adv. Theor. Math. Phys., vol. 15, no. 1, pp. 179{244, 2011. M. Ando (with E. Sharpe), \Elliptic genera of Landau-Ginzburg models over nontrivial spaces," Adv. Theor. Math. Phys., vol. 16, no. 4, pp. 1087{1144, 2012. M. Ando (with A. J. Blumberg, D. Gepner, M. J. Hopkins, C. Rezk), \An 1-categorical approach to R-line bundles, R-module Thom spectra, and twisted R-homology," J. Topol., vol. 7, no. 3, pp. 869{893, 2014. M. Ando (with A. J. Blumberg, D. Gepner, M. J. Hopkins, C. Rezk), \Units of ring spectra, orientations and Thom spectra via rigid infinite loop space theory," J. Topol., vol. 7, no. 4, pp. 1077{1117, 2014. J. Balogh (with B. Bollob´as,M. Simonovits), \The fine structure of octahedron-free graphs," J. Combin. Theory Ser. B, vol. 101, no. 2, pp. 67{84, 2011. 2 J. Balogh (with N. Alon, B. Bollob´as,R. Morris), \The structure of almost all graphs in a hered- itary property," J. Combin. Theory Ser. B, vol. 101, no. 2, pp. 85{110, 2011. J. Balogh (with J. Butterfield), \Excluding induced subgraphs: critical graphs," Random Struc- tures Algorithms, vol. 38, no. 1-2, pp. 100{120, 2011. J. Balogh (with B. Csaba, W. Samotij), \Local resilience of almost spanning trees in random graphs," Random Structures Algorithms, vol. 38, no. 1-2, pp. 121{139, 2011. J. Balogh (with D. Mubayi), \Almost all triple systems with independent neighborhoods are semi-bipartite," J. Combin. Theory Ser. A, vol. 118, no. 4, pp. 1494{1518, 2011. J. Balogh (with W. Samotij), \The number of Ks;t-free graphs," J. Lond. Math. Soc. (2), vol. 83, no. 2, pp. 368{388, 2011. J. Balogh (with W. Samotij), \On the Chv´atal-Erd¨ostriangle game," Electron. J. Combin., vol. 18, no. 1, pp. Paper 72, 15, 2011. J. Balogh (with A. V. Kostochka), \Large minors in graphs with given independence number," Discrete Math., vol. 311, no. 20, pp. 2203{2215, 2011. J. Balogh (with B. Bollob´as, T. Krivelevich, Michael a nd M¨uller,M. Walters), \Hamilton cycles in random geometric graphs," Ann. Appl. Probab., vol. 21, no. 3, pp. 1053{1072, 2011. J. Balogh (with W. Samotij), \The number of Km;m-free graphs," Combinatorica, vol. 31, no. 2, pp. 131{150, 2011. J. Balogh (with J. Lenz, H. Wu), \Complete minors, independent sets, and chordal graphs," Discuss. Math. Graph Theory, vol. 31, no. 4, pp. 639{674, 2011. J. Balogh (with A. Pluh´ar),\The positive minimum degree game on sparse graphs," Electron. J. Combin., vol. 19, no. 1, pp. Paper 22, 7, 2012. J. Balogh (with B. Bollob´as,R. Duminil-Copin, Hugo an d Morris), \The sharp threshold for bootstrap percolation in all dimensions," Trans. Amer. Math. Soc., vol. 364, no. 5, pp. 2667{2701, 2012. J. Balogh (with C. Lee, W. Samotij), “Corr´adiand Hajnal's theorem for sparse random graphs," Combin. Probab. Comput., vol. 21, no. 1-2, pp. 23{55, 2012. J. Balogh (with B. Bollob´as,R. Morris, O. Riordan), \Linear algebra and bootstrap percolation," J. Combin. Theory Ser. A, vol. 119, no. 6, pp. 1328{1335, 2012. J. Balogh (with D. Mubayi), \Almost all triangle-free triple systems are tripartite," Combinatorica, vol. 32, no. 2, pp. 143{169, 2012. J. Balogh (with B. Bollob´as,R. Morris), \Graph bootstrap percolation," Random Structures Algorithms, vol. 41, no. 4, pp. 413{440, 2012. J. Balogh (with J. Lenz), \Some exact Ramsey-Tur´annumbers," Bull. Lond. Math. Soc., vol. 44, no. 6, pp. 1251{1258, 2012. 3 J. Balogh (with T. Bohman, B. Bollob´as,Y. Zhao), \Tur´andensities of some hypergraphs related k to Kk+1," SIAM J. Discrete Math., vol. 26, no. 4, pp. 1609{1617, 2012. n J. Balogh (with A. V. Kostochka, A. Raigorodskii), \Coloring some finite sets in R ," Discuss. Math. Graph Theory, vol. 33, no. 1, pp. 25{31, 2013. J. Balogh (with H. Gonz´alez-Aguilar,G. Salazar), \Large convex holes in random point sets," Comput. Geom., vol. 46, no. 6, pp. 725{733, 2013. J. Balogh (with A. V. Kostochka, A. Treglown), \On perfect packings in dense graphs," Electron. J. Combin., vol. 20, no. 1, pp. Paper 57, 17, 2013. J. Balogh (with J. Lenz), \On the Ramsey-Tur´annumbers of graphs and hypergraphs," Israel J. Math., vol. 194, no. 1, pp. 45{68, 2013. J. Balogh (with G. Kemkes, C. Lee, S. J. Young), \Towards a weighted version of the Hajnal- Szemer´editheorem," Combin. Probab. Comput., vol. 22, no. 3, pp. 346{350, 2013. J. Balogh (with C. Palmer), \On the tree packing conjecture," SIAM J. Discrete Math., vol. 27, no. 4, pp. 1995{2006, 2013. J. Balogh (with P. Hu, B. Lidick´y,H. Liu), \Upper bounds on the size of 4- and 6-cycle-free subgraphs of the hypercube," European J. Combin., vol. 35, pp. 75{85, 2014. J. Balogh (with N. Alon, R. Morris, W. Samotij), \A refinement of the Cameron-Erd¨osconjecture," Proc. Lond. Math. Soc. (3), vol. 108, no. 1, pp. 44{72, 2014. J. Balogh (with N. Alon, R. Morris, W. Samotij), \Counting sum-free sets in abelian groups," Israel J.
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