# Geometry, Topology and Dynamics - Research Training Grant (RTG)

## Papers that received RTG support

2016- |
||

N. Priddis and M. Shoemaker. A landau-ginzburg/calabi-yau correspondence for the mirror quintic. Annales de l'Institut Fourier, arXiv preprint arXiv:1309.6262, to appear. | ||

N. Priddis, Y.-P. Lee, and M. Shoemaker. A proof of the landau-ginzburg/calabi-yau correspondence via the crepant transformation conjecture. Annales scientifiques de l’E ́cole nor- male sup ́erieure, arXiv preprint arXiv:1410.5503, to appear. | ||

H. Krieger and P. Reschke. Cohomological conditions on endomorphisms of projective vari- eties. Bull. Soc. Math. Fr., arXiv preprint arXiv:1505.07088, to appear. | ||

M. Jonsson and P. Reschke. On the complex dynamics of birational surface maps defined over number fields. J. reine angew. Math, arXiv preprint arXiv:1505.03559, to appear. | ||

A. Haynes, M. Kelly, and H. Koivusalo. Constructing bounded remainder sets and cut-and- project sets which are bounded distance to lattices, ii. Indagationes Mathematicae, 02 to appear, 1602.00529. | ||

R. Silversmith. Gromov-Witten theory of toroidal orbifolds and GIT wall-crossing. 03 2016, 1603.09389. | ||

R. Ramadas. Dynamical degrees of Hurwitz correspondences. 02 2016, 1602.02846. | ||

W. Mogilski and K. Schreve. Coxeter groups, ruins, and weighted l2-cohomology. 02 2016, 1602.04515. | ||

A. Lawrie, S.-J. Oh, and S. Shahshahani. Profile decompositions for wave equations on hyperbolic space with applications. Math. Ann., 365(1-2):707–803, 2016. | ||

F. G. Jacob Carruth and M. Kelly. The Beurling-Selberg box minorant problem. preprint, 2016. | ||

M. G. Durham, M. F. Hagen, and A. Sisto. Boundaries and automorphisms of hierarchically hyperbolic spaces. 04 2016, 1604.01061. | ||

M. Durham. The asymptotic geometry of the teichmüller metric: Dimension and rank: preprint, 2014, posted at. arXiv preprint arXiv:1501.00200. | ||

A. Lawrie, S.-J. Oh, and S. Shahshahani. Equivariant wave maps on the hyperbolic plane with large energy. Math. Res. Lett., (to appear). | ||

J. Behrstock and M. F. Hagen. Cubulated groups: thickness, relative hyperbolicity, and simplicial boundaries. (Groups, Geometry, and Dynamics) arXiv preprint arXiv:1212.0182, (to appear). | ||

K. Dabbs, M. Kelly, and H. Li. Effective equidistribution of translates of maximal horo- spherical measures in the space of lattices. Journal of Modern Dynamics, 10, (to appear, 2016). | ||

K. Bou-Rabee and B. Seward. Arbitrarily large residual finiteness growth. Journal für die reine und angewandte Mathematik (Crelles Journal), 2016(710):199-204, 2016. | ||

2015 |
||

R. Spatzier and D. Visscher. Equilibrium measures for certain isometric extensions of anosov systems. 10 2015, 1510.04624. | ||

P. Reschke and B. Roytman. Lower semi-continuity of entropy in a family of k3 surface automorphisms. 08 2015, 1508.04681. | ||

R. Ramadas. Hurwitz correspondences on compactifications of M0,N . 10 2015, 1510.07277. | ||

I. Polterovich, D. A. Sher, and J. A. Toth. Nodal length of steklov eigenfunctions on real-analytic riemannian surfaces. 06 2015, 1506.07600. | ||

S. Friedl, K. Schreve, and S. Tillmann. Thurston norm via fox calculus. 07 2015, 1507.05660. | ||

B. Okun and K. Schreve. The L2-(co)homology of groups with hierarchies. 07 2014, 1407.1340. | ||

E. Clader and Y. Ruan. Mirror symmetry constructions. 12 2014, 1412.1268. | ||

A. Zimmer. The structure of projective maps between real projective manifolds. arXiv preprint arXiv:1506.09136, 2015. | ||

D. Visscher. A franks' lemma for convex planar billiards. Dynamical Systems, 30(3):333-340, 2015. | ||

D. Ross and Z. Zong. Cyclic hodge integrals and loop schur functions. Advances in Mathe- matics, 285:1448-1486, 2015. | ||

D. Ross. On the gromov-witten/donaldson-thomas correspondence and ruan's conjecture for calabi-yau 3-orbifolds. Communications in Mathematical Physics, 340(2):851-864, 2015. | ||

B. Linowitz and L. Thompson. The sign changes of fourier coe cients of eisenstein series. The Ramanujan Journal, 37(2):223-241, 2015. | ||

B. Linowitz, M. Stover, and J. Voight. Fake quadrics. arXiv preprint arXiv:1504.04642, 2015. | ||

B. Linowitz, M. Satriano, and R. Vehkalahti. A noncommutative analogue of the odlyzko bounds and bounds on performance for space-time lattice codes. Information Theory, IEEE Transactions on, 61(4):1971-1984, 2015. | ||

B. Linowitz, J. S. Meyer, and P. Pollack. The length spectra of arithmetic hyperbolic 3- manifolds and their totally geodesic surfaces. New York J. Math, 21:955-972, 2015. | ||

B. Linowitz and J. S. Meyer. On the isospectral orbifold-manifold problem for nonpositively curved locally symmetric spaces. arXiv preprint arXiv:1504.01805, 2015. | ||

B. Linowitz, D. McReynolds, P. Pollack, and L. Thompson. Systoles of arithmetic hyperbolic surfaces and 3-manifolds. arXiv preprint arXiv:1504.05257, 2015. | ||

B. Linowitz, D. McReynolds, and N. Miller. Locally equivalent correspondences. arXiv preprint arXiv:1505.04755, 2015. | ||

B. Linowitz. Selective orders in central simple algebras and isospectral families of arithmetic manifolds. Manuscripta Mathematica, 147(3-4):399-413, 2015. | ||

M. Lee. Dynamics on the PSL(2; C)-character variety of a twisted I-bundle. Groups Geom. Dyn., 9(1):187-201, 2015. | ||

A. Lawrie, S.-J. Oh, and S. Shahshahani. Gap eigenvalues and asymptotic dynamics of geometric wave equations on hyperbolic space. arXiv preprint arXiv:1502.00697, 2015. | ||

H. Krieger and P. Reschke. Cohomological conditions on endomorphisms of projective vari- eties. arXiv preprint arXiv:1505.07088, 2015. | ||

G. S. Kopp and S. J. Miller. Spherical matrix ensembles. arXiv preprint arXiv:1501.01848, 2015. | ||

M. Jonsson and P. Reschke. On the complex dynamics of birational surface maps de ned over number elds. arXiv preprint arXiv:1505.03559, 2015. | ||

P. Johnson. Double Hurwitz numbers via the in nite wedge. Trans. Amer. Math. Soc., 367(9):6415-6440, 2015. | ||

M. F. Hagen and D. T. Wise. Cubulating hyperbolic free-by-cyclic groups: the general case. Geometric and Functional Analysis, 25(1):134-179, 2015. | ||

M. F. Hagen and P. Przytycki. Cocompactly cubulated graph manifolds. Israel Journal of Mathematics, 207(1):377-394, 2015. | ||

M. F. Hagen and P. Patel. Quantifying separability in virtually special groups. arXiv preprint arXiv:1501.07001, 2015. | ||

V. Guillemin, E. Miranda, A. R. Pires, and G. Scott. Toric actions on b-symplectic manifolds. International Mathematics Research Notices, 2015(14):5818-5848, 2015. | ||

C. Guillarmou and D. A. Sher. Low energy resolvent for the hodge laplacian: applications to riesz transform, sobolev estimates, and analytic torsion. International Mathematics Research Notices, 2015(15):6136-6210, 2015. | ||

D. Grundmeier and J. Halfpap Kacmarcik. An application of macaulay's estimate to sums of squares problems in several complex variables. Proceedings of the American Mathematical Society, 143(4):1411-1422, 2015. | ||

S. Gao, S. Jackson, E. Krohne, and B. Seward. Forcing constructions and countable borel equivalence relations. arXiv preprint arXiv:1503.07822, 2015. | ||

K. Bou-Rabee and D. B. McReynolds. Extremal behavior of divisibility functions. Geom. Dedicata, 175:407-415, 2015. | ||

K. Bou-Rabee, M. F. Hagen, and P. Patel. Residual niteness growths of virtually special groups. Mathematische Zeitschrift, 279(1-2):297-310, 2015. | ||

K. Bou-Rabee, M. F. Hagen, and P. Patel. Residual niteness growths of virtually special groups. Math. Z., 279(1-2):297-310, 2015. | ||

2014 |
||

A. M. Zimmer. Gromov hyperbolicity and the kobayashi metric on convex domains of nite type. Mathematische Annalen, pages 1-74, 2014. | ||

A. M. Zimmer. Boundaries of |
||

A. Zimmer. Gromov hyperbolicity and the kobayashi metric on convex domains of nite type. preprint, arxiv:1405.2858, 2014. | ||

D. Visscher. A new proof of franks'lemma for geodesic ows. DISCRETE AND CONTIN- UOUS DYNAMICAL SYSTEMS, 34(11):4875-4895, 2014. | ||

M. Shoemaker. Birationality of |
||

D. Ross and Y. Ruan. |
||

D. Ross. |
||

R. Ricks. Flat strips, bowen-margulis measures, and mixing of the geodesic ow for rank one cat (0) spaces. Ergodic Theory and Dynamical Systems, pages 1-32, 2014. | ||

N. Priddis, |
||

A. Pettet and J. Souto. Periodic maximal ats are not peripheral. J. Topol., 7(2):363-384, 2014. | ||

L. Louder. Simple loop conjecture for limit groups. Israel J. Math., 199(2):527-545, 2014. | ||

B. Linowitz, D. McReynolds, P. Pollack, and L. Thompson. Counting and e ective rigidity in algebra and geometry. arXiv preprint arXiv:1407.2294, 2014. | ||

B. Linowitz. Families of mutually isospectral riemannian orbifolds. Bulletin of the London Mathematical Society, page bdu096, 2014. | ||

Y.-P. Lee and M. Shoemaker. A mirror theorem for the mirror quintic. Geom. Topol., 18(3):1437-1483, 2014. | ||

A. Lawrie, |
||

A. Lawrie, |
||

H. Kang, L. Lee, and C. Zeager. Comparison of invariant metrics. Rocky Mountain J. Math., 44(1):157-177, 2014. | ||

P. Johnson. Equivariant GW theory of stacky curves. Comm. Math. Phys., 327(2):333-386, 2014. | ||

D. Grundmeier, J. Lebl, and L. Vivas. Bounding the rank of hermitian forms and rigidity for cr mappings of hyperquadrics. Mathematische Annalen, |
||

D. Grundmeier, J. Lebl, and L. Vivas. Bounding the rank of Hermitian forms and rigidity for CR mappings of hyperquadrics. Math. Ann., |
||

A. Girouard, L. Parnovski, I. Polterovich, and D. A. Sher. The steklov spectrum of surfaces: asymptotics and invariants. In Mathematical Proceedings of the Cambridge Philosophical Society, volume 157, pages 379-389. Cambridge Univ Press, 2014. | ||

W. Gignac and M. Ruggiero. Growth of attraction rates for iterates of a superattracting germ in dimension two. Indiana Univ. Math. J., 63(4):1195-1234, 2014. | ||

W. Gignac. Measures and dynamics on Noetherian spaces. J. Geom. Anal., 24(4):1770-1793, 2014. | ||

W. Gignac. Equidistribution of preimages over nonarchimedean elds for maps of good reduction. Ann. Inst. Fourier (Grenoble), 64(4):1737-1779, 2014. | ||

V. Emery and M. Stover. Covolumes of nonuniform lattices in PU(n; 1). Amer. J. Math., 136(1):143-164, 2014. | ||

M. G. Durham. Elliptic actions on teichmuller space. arXiv preprint arXiv:1412.8559, 2014. | ||

M. Duchin and C. Mooney. Fine asymptotic geometry in the Heisenberg group. Indiana Univ. Math. J., 63(3):885-916, 2014. | ||

S. Dowdall, M. Duchin, and H. Masur. Statistical hyperbolicity in Teichmüller space. Geom. Funct. Anal., 24(3):748-795, 2014. | ||

P. Comparin, C. Lyons, N. Priddis, R. Suggs, et al. The mirror symmetry of k3 surfaces with |
||

T. Clark. Regular or stochastic dynamics in families of |
||

T. Chinburg and M. Stover. Small generators for |
||

J. Brown. |
||

K. |
||

L. Bieri, S. Miao, and S. Shahshahani. Asymptotic properties of solutions of the maxwell klein gordon equation with small data. arXiv preprint arXiv:1408.2550, 2014. | ||

M. Belolipetsky and B. Linowitz. On elds of de nition of arithmetic kleinian re ection groups ii. International Mathematics Research Notices, 2014(9):2559-2571, 2014. | ||

J. Behrstock, M. F. Hagen, and A. Sisto. Hierarchically hyperbolic spaces i: curve complexes for cubical groups. arXiv preprint arXiv:1412.2171, 2014. | ||

P. Albin, F. Rochon, and D. Sher. Resolvent, heat kernel and torsion under degeneration tobered cusps. arXiv preprint arXiv:1410.8406, 2014. | ||

P. Albin, F. Rochon, and D. Sher. Analytic torsion and |
||

2013 |
||

A. M. Zimmer. Rigidity of complex convex divisible sets. arXiv preprint arXiv:1308.4116, 2013. | ||

A. Zimmer. Rigidity of complex convex divisible sets. preprint, arxiv:1308.4116, 2013. | ||

N. White. Spectral bounds on closed hyperbolic |
||

J. Watkins. The higher rank rigidity theorem for manifolds with no focal points. Geom. Dedicata, 164:319-349, 2013. | ||

D. M. Vavrichek. The |
||

M. Stover. On the number of ends of rank one locally symmetric spaces. Geom. Topol., 17(2):905-924, 2013. | ||

J. Souto and M. Stover. A Cantor set with hyperbolic complement. Conform. Geom. Dyn., 17:58-67, 2013. | ||

G. Scott. Torus invariant curves. arXiv preprint arXiv:1304.3822, 2013. | ||

G. Scott. The geometry of b^ k manifolds. arXiv preprint arXiv:1304.3821, 2013. | ||

N. Priddis and M. Shoemaker. A |
||

A. Pettet and J. Souto. Commuting tuples in reductive groups and their maximal compact subgroups. Geom. Topol., 17(5):2513-2593, 2013. | ||

D. B. McReynolds, A. W. Reid, and M. Stover. Collisions at in nity in hyperbolic manifolds.Math. Proc. Cambridge Philos. Soc., 155(3):459-463, 2013. | ||

L. Louder. Scott complexity and adjoining roots to nitely generated groups. Groups Geom. Dyn., 7(2):451-474, 2013. | ||

M. F. Hagen and D. T. Wise. Cubulating hyperbolic |
||

D. Grundmeier and J. Halfpap. An application of macaulay's estimate to cr geometry. arXiv preprint arXiv:1304.0237, 2013. | ||

M. G. Durham. The augmented marking complex of a surface. arXiv preprint arXiv:1309.4065, 2013. | ||

T. Clark, S. van Strien, and S. Trejo. Complex box bounds for real maps. arXiv preprint arXiv:1310.8338, 2013. | ||

E. Clader, N. Priddis, and M. Shoemaker. Geometric quantization with applications to |
||

E. Clader. Relations on mbar fg, ng via orbifold stable maps. arXiv preprint arXiv:1311.1782, 2013. | ||

A. Chiodo and E. Clader. |
||

A. Brini, R. Cavalieri, and D. Ross. Crepant resolutions and open strings. arXiv preprint arXiv:1309.4438, 2013. | ||

J. Behrstock, M. F. Hagen, A. Sisto, and |
||

2012 |
||

A. M. Zimmer. Compact asymptotically harmonic manifolds. J. Mod. Dyn., 6(3):377-403, 2012. | ||

M. Williams. Metric currents, di erentiable structures, and Carnot groups. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 11(2):259-302, 2012. | ||

M. Stover. Arithmeticity of complex hyperbolic triangle groups. Paci c J. Math., 257(1):243-256, 2012. | ||

S. Sahutoglu. Strong Stein neighbourhood bases. Complex Var. Elliptic Equ., 57(10):1073- 1085, 2012. | ||

P. Reschke. Salem numbers and automorphisms of complex surfaces. arXiv preprint arXiv:1202.5245, 2012. | ||

H. Peters and C. Zeager. Tautness and Fatou components in P^2. J. Geom. Anal., 22(4):934- 941, 2012. | ||

L. Louder. Strong accessibility for nitely presented groups. preprint, 2012. | ||

L. Louder. Nielsen equivalence of generating sets for closed surface groups. preprint, 2012. | ||

R. M. Lassonde. Splittings of non- nitely generated groups. Algebr. Geom. Topol., 12(1):511-563, 2012. | ||

J. C. Lagarias and Z. Maddock. Level sets of the Takagi function: local level sets. Monatsh. Math., 166(2):201-238, 2012. | ||

C. Guilbault and C. Mooney. |
||

J. Gong. Rigidity of derivations in the plane and in metric measure spaces. Illinois J. Math., 56(4):1109-1147, 2012. | ||

J. M. Gomez, A. Pettet, and J. Souto. On the fundamental group of Hom(Z^k; G). Math. Z., |
||

W. Gignac. On the growth of local intersection multiplicities in holomorphic dynamics: a conjecture of arnold. arXiv preprint arXiv:1212.5272, 2012. | ||

M. Duchin, S. Lelievre, and C. Mooney. The geometry of spheres in free abelian groups. Geom. Dedicata, 161:169-187, 2012. | ||

M. Clay and A. Pettet. Relative twisting in outer space. J. Topol. Anal., 4(2):173-201, 2012. | ||

M. Clay and A. Pettet. Current twisting and nonsingular matrices. Comment. Math. Helv., 87(2):385-407, 2012. | ||

2011 |
||

D. Barrett and S. Sahutoglu. Irregularity of the Bergman projection on worm domains in C^n. Michigan Math. J., 61(1):187-198, 2012. | ||

M. Stover and T. Chinburg. Fuchsian subgroups of lattices acting on hermitian symmetric spaces. preprint, 2011. | ||

M. Stover and T. Chinburg. Fuchsian subgroups of lattices acting on hermitian symmetric spaces. preprint, 2011. | ||

K. M. Ormsby. Motivic invariants of |
||

P. Johnson, R. Pandharipande, and |
||

P. Hu, I. Kriz, and K. Ormsby. Remarks on motivic homotopy theory over algebraically closed elds. J. |
||

J. Gong. A Schoen ies extension theorem for a class of locally |
||

J. W. Fish. |
||

J. W. Fish. Estimates for |
||

F. R. Cohen, A. Heap, and A. Pettet. On the |
||

K. |
||

2010 |
||

J. W. Anderson, H. Parlier, and A. Pettet. Small lling sets of curves on a surface. Topology Appl., 158(1):84-92, 2011. | ||

K. Wildrick. Quasisymmetric structures on surfaces. Trans. Amer. Math. Soc., 362(2):623- 659, 2010. | ||

D. Viswanath and S. Sahutoglu. Complex singularities and the Lorenz attractor. SIAM Rev., 52(2):294-314, 2010. | ||

J. Sahattchieve. On the diagonal actions of Z on Z^n. preprint, 2010. | ||

A. Pettet. Finiteness properties for a subgroup of the pure symmetric automorphism group. C. R. Math. Acad. Sci. Paris, |
||

J. Mangahas. Uniform uniform exponential growth of subgroups of the mapping class group. Geom. Funct. Anal., 19(5):1468-1480, 2010. | ||

Y. Lai. An e ective compactness theorem for Coxeter groups. Geom. Dedicata, 145:195-217,2010. | ||

Z. Cuckovi and S. Sahutoglu. Compactness of products of Hankel operators on the polydisk and some product domains in C2. J. Math. Anal. Appl., 371(1):341-346, 2010. | ||

M. Clay and A. Pettet. Twisting out fully irreducible automorphisms. Geom. Funct. Anal., 20(3):657-689, 2010. | ||

R. Cavalieri, P. Johnson, and H. Markwig. Tropical Hurwitz numbers. J. Algebraic Combin., 32(2):241-265, 2010. | ||

R. Cavalieri, P. Johnson, and H. Markwig. Chamber structure for double Hurwitz numbers. In 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), Discrete Math. Theor. Comput. Sci. Proc., AN, pages 227-238. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2010. | ||

2009 |
||

F. A. Ram rez. Cocycles over |
||

A. D. Magid. Examples of relative deformation spaces that are not locally connected. Math. Ann., 344(4):877-889, 2009. | ||

D. Constantine. Compact forms of homogeneous spaces and |
||

W. Breslin. Small curvature laminations in hyperbolic |
||

-2008 |
||

K. Wildrick. Quasisymmetric parametrizations of |
||

D. M. Vavrichek. Strong accessibility for hyperbolic groups. Algebr. Geom. Topol., 8(3):1459-1479, 2008. | ||

D. Constantine. |
||

M. Durham. The asymptotic geometry of the teichmüller metric: Dimension and rank: preprint, 2014, posted at. arXiv preprint arXiv:1501.00200. | ||

P. Doyle, B. Linowitz, and J. Voight. The smallest isospectral and nonisometric orbifolds of dimension 2 and 3. preprint. |