Vita Peter A. Perry Address Department of Mathematics University of Kentucky Lexington, Kentucky 40506-0027 Telephone: (859) 257-6794 Electronic Mail: [email protected] Education • A.B. (Physics), Princeton University, 1977 • M.S. (Physics), Princeton University, 1978 • Ph.D. (Physics), Princeton University, 1982 Fellowships • N.S.F. Predoctoral Fellow, 1977-1980 • N.S.F. Postdoctoral Fellow, 1981-1982 • Bantrell Fellow in Mathematical Physics, Caltech, 1982-1985 • Fulbright Lecturing and Research Fellow, University of Oslo, Fall 1993 Professional Experience • N.S.F. Postdoctoral Fellow, Courant Institute, 1981-1982 • Bantrell Research Fellow, Caltech, 1982-1985 • Assistant Professor, University of Kentucky, 1985-1988 • Associate Professor, University of Kentucky, 1988-1994 • Full Professor, University of Kentucky, 1994-present • College of Arts and Sciences Distinguished Professor, 2010-present 1

Administrative Experience • Co-Director, Research Experiences for Undergraduates Site Program, 1995-1998 • Chair, Department of Mathematics, July 1, 2000-June, 30 2004 • Director, MathExcel Program, July 1, 2007-June 30, 2011 • Director of Graduate Studies, July 1, 2011-Present Visiting Positions • I.H.E.S., Bures-sur-Yvette, France, January-June 1981 • Mittag-Leffler Institute, Djursholm, Sweden, March-April 1982 • Centre de Physique Th´eorique, C.N.R.S.-Luminy, France, June 1983 and July 1981 • Department of Mathematics, Stanford University, Summers 1983-1987 • Department of Mathematics, University of Virginia, Fall 1987 • Mathematisches Institut, Universit¨at G¨ottingen, G¨ottingen, Germany, February-June 1989 • Department of Mathematics, University of Oslo, Fall 1993 • Institute for Mathematics and its Applications, University of Minnesota, January-March 1995 • Visiting Member, Mathematical Sciences Research Institute, March and May 2001 • Mittag-Leffler Institute, Djursholm, Sweden, August 2002 • Visiting Member, Mathematical Sciences Research Institute, August 2008 • Visiting Member, Mathematical Sciences Research Institute, NovemberDecember 2010 • Visiting Member, Isaac Newton Institute, November 2011 2

Honors and Awards

• NSF Postdoctoral Fellowship, 1981-1982 • Fulbright Fellowship, Fall 1993 • University Research Professor, University of Kentucky, 1999-2000 • College of Arts and Sciences Distinguished Professor, 2010-Present

Research Support - Single Investigator Grants

• NSF Grant DMS-1208778 (three years), $191,769, June 2012 • NSF Grant DMS-0710477 (three years), $ 139,859, June 2007 • NSF Grant DMS-0408419, Supplement to support postdoctoral researcher Siu-Hung Tang, $16,816 • NSF Grant DMS-0408419 (three years), $136,500, June 2004 • NSF Grant DMS-0207125 (conference, with Carolyn Gordon), $16,048, June 2002 • NSF Grant DMS-0100829, Supplement to support postdoctoral researcher Yilong Ni for one semester, $10,000 • NSF Grant DMS-0100829, ROA (Research Opportunity Award) supplement to support Jeffrey McGowan, $13,074 • NSF Grant DMS-0100829 (three years), $90,000, June 2001 • NSF Grant DMS-9707051 (three years), $90,000, June 1997 • NSF Grant DMS-9203529 (three years), $123,000, June 1992 • NSF Grant DMS-9006092 (two years), $42,592, June 1990 • NSF Grant DMS-8802668 (two years), $35,700, June 1988 3

• NSF Grant DMS-860344 (two years), $26,000, June 1986

Research Support - Multiple Investigator Grants

• NSF Grant DMS-9508543 (SCREMS equipment grant, with Zhaojun Bai, Thomas Hayden, and Arnold Stromberg), $50,000, 1995 • NSF Grant DMS-9424012 (REU site grant, four years, with Suzanne Smith), $115,325, February 1992 • Co-PI on EPSCoR Component Project, 1992–1996 • Co-PI on EPSCoR Component Project, 1986–1991 • Co-PI on NATO Collaborative Research Grant with Peter Hislop (University of Kentucky) and Richard Froese (University of British Columbia), 1991-1992

Recent Invited Presentations

• Invited 40 minute lecture, “Determinants and inverse scattering.” Exceptional Circle Workshop, University of Helsinki, Finland, August 2013. • “Spectral Geometry: From Selberg’s Trace Formula to Geometric Scattering Theory.”Invited plenary lecture for conference Facets of Geometry: A Conference in Honor of Torsten Ekedahl and Mikael Passare, University of Stockholm, Stockholm, Sweden, June 2013. • “KdV and NV: A Tale of two PDE’s. ”Invited plenary lecture, Midwest PDE Conference, University of Michigan, Ann Arbor, May 2013. • Invited 50 minute lecture, “Solving nonlinear dispersive equations in 2 + 1 dimensions by the method of inverse scattering,” program on Inverse Problems, Isaac Newton Institute, November 2011. 4

• Invited 50 minute lecture, “Generic lower bounds on the resonance counting function for manifolds hyperbolic near infinity,” Conference on Microlocal Methods in Spectral and Scattering Theory, Northwestern University, October 2011 • Invited 50 minute lecture “Resonances for manifolds hyperbolic at infinity,” “Spectral gap in dynamical systems, number theory and PDEs”, workshop at Peyresq, France, June 2011. • Invited 50 minute lecture, “Global well-posedness for the Davey-Stewartson II equation,”, University of Arizona, May 2011 • Invited 50 minute lecture, “Global well-posedness for the Davey-Stewartson ´ II equation,” invited lecture, Ecole Normale Sup´erieure, Paris, France, May 2011 • Invited colloquium, “Resonances in geometric scattering theory,” Temple University, March 2011 • Invited 50 minute lecture, Conference on “Waves and Spectra,” Texas A&M University, January 2011 • Invited 40 minute lecture, “Generic lower bounds on the resonance counting function for manifolds hyperbolic near infinity” Conference on Topics in Spectral and Scattering Theory, Pennsylvania State University, August 2010 • Invited 50 minute lecture, “The Miura Map on the Line”, for conference ”Spectral Theory and Geometric Analysis” in honor of Mikhail Shubin’s 65th birthday, Northeastern University, July 2009 • Invited 50 minute lecture, “Scattering Theory on Complex Manifolds” Banff International Research Station, October 2008 • Invited 50 minute lecture, “Global Existence of Solutions for mKdV with singular initial data,” MSRI, August 2008 • Invited 30 minute lecture, “The Miura map, KdV, and mKdV”, Conference on Inverse Quantum Scattering Theory, Lake Balaton, Hungary, August, 2007

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• Invited 50 minute lecture, “Scattering theory for complex manifolds and CR-invariants,” Matematisches Forschungsinstitut Oberwolfach, August 2007 • Invited 50 minute lecture, “Scattering theory for complex manifolds,” analysis seminar, University of Z¨ urich, August 2007 • Invited 40 minute special session talk, Sectional Meeting of the American Mathematical Society, Fayetteville, Arkansas, November 2006 • Invited lecture (50 minutes), Spectral Theory and Mathematical Physics: A Conference in Honor of Barry Simon’s 60th Birthday, March 27-31, 2006, California Institute of Technology • Invited lecture (50 minutes), Workshop on Conformal Invariants: Geometric and analytic aspects, National Center for Theoretical Sciences, Hsinchu, Taiwan, June 2005 • Invited lecture (50 minutes), Conference on “Recent developments in spectral geometry”, Berlin, November 1-5, 2004 • Invited lecture (45 minutes), Special Session on “Spectral Problems in Partial Differential Equations” Midwest sectional meeting of the AMS, October 2004 • Invited lecture, Workshop on Spectral Geometry, Centre de R´echerches Math´ematiques, Universit´e de Montreal, March and May 2004 • Invited Lecture Series co-delivered with Carolyn Gordon, Dartmouth College, Conference on Geometry and Analysis in Inverse Problems, Helsinki, Finland, August 2003 • Invited lecture, Conference on Scattering and Inverse Scattering, Banff International Mathematics Research Station, March 2003 • Colloquium, Purdue University, Fall 2002 • Workshop on Partial Differential Equations and Spectral Theory, MittagLeffler Institute, August 2002 • Colloquium, University of Uppsala, August 2002 6

• Invited Lecture, Texas Geometry and Topology Conference, April 2002 • Invited lecture series on scattering theory, Conference on Spectral Geometry, Dartmouth College, June 2001 • Worskhop on Geometric Scattering Theory and Elliptic Theory on noncompact spaces, Mathematical Sciences Research Institute, May 2001 • Invited lecture, Annual Meeting of the Canadian Mathematical Society, Vancouver, BC, December 2000 • Invited 20-minute talk, Southeastern Sectional Meeting of the AMS, November 2000 • Workshop on Spectral Geometry, University of Kentucky, June 2000 • Colloquium lecture, University of G¨ottingen, May 2000, in connection with Workshop on Dynamical Zeta Functions • PDE Seminar, University of Indiana, February 2000 • Workshop on Dirac Operators and Analysis on non-compact manifolds, Stefan Banach Institute, Warsaw, Poland, August 1999 • Workshop on Spectral Geometry, Technion-Israel Institute of Technology, June 1999

Meetings and Conferences Organized

• (pending funding from NSF, co-organized with Ken McLaughlin and Peter Miller) Conference and Workshop on Scattering and Inverse Scattering in Multi-Dimensions, University of Kentucky, May 16-23, 2014. • (co-organized with Robert Buckingham) Special session on dispersive nonlinear equations and completely integrable systems, AMS Sectional Meeting, Knoville, Tennessee, March 2014 • (co-organized with Tanya Christiansen, Peter Hislop) Special session on Spectral, Scattering, and Inverse Scattering Theory, AMS Sectional Meeting, Akron, Ohio, October 2012. 7

• (co-organized with Ken McLaughlin, University of Arizona), Banff International Research Station, Focussed Research Group on ∂-methods, inverse scattering, and normal matrix models, August 2012. Participants: Kari Astala, Michael Christ, Ken McLaughlin, Peter Miller, Peter Perry, Samuli Siltanen • (co-organized with Peter Hislop) Global Harmonic Analysis, NSF-CBMS Conference, University of Kentucky, July 2011 • (co-organized with Carolyn Gordon, Dartmouth College; Alejandro Uribe, University of Michigan). Conference on Inverse Spectral Theory, Dartmouth College,July 2010. • (co-organized with Peter Hislop, University of Kentucky; Rafe Mazzeo, Stanford University; Antonio Sa Barreto, Purdue University) Workshop on Geometric Scattering Theory, Banff International Research Station, March 2010 • (co-organized with Carolyn Gordon, Darmtouth College) Special Session on Inverse Problems in Geometry, AMS-SIAM-MAA Joint Meetings, San Diego, California, January 2008 • Special Session on Scattering and Spectral Problems in Geometry, AMS Sectional Meeting, Lincoln, Nebraska, October 2005 • (co-organized with Carolyn Gordon, Dartmouth College) Special Session on Inverse Spectral Geometry, AMS-MAA Joint Meeting, January 2005 • (co-organized with Carolyn Gordon, Dartmouth College) Workshop on Inverse Spectral Geometry, Dartmouth College, November 2003 • (co-organized with Carolyn Gordon, Dartmouth College) First KentuckyDartmouth Workshop on Inverse Spectral Geometry, June 2002 • Workshop on Inverse Spectral Theory, University of Kentucky, June 2000

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Graduated Masters’ and Doctoral Students • Kirk Jason Yenerall, M.A., May 1992. Masters’ Thesis: An Eigenvalue Minimization problem on S 2 . • Albert F. Schueller, Ph.D., August 1996. Ph. D. Thesis: Eigenvalue Asymptotics for Self-Adjoint, Fourth-Order, Differential Operators. • Wu Zhiqiang, Ph. D., August 1997. Ph. D. Thesis: Scattering Theory on Domains with Fractal Boundaries. • Douglas Riley, Ph. D. July 1999. Ph. D. Thesis: Global Existence for the Three-Dimensional Navier Stokes Equations in Domains with Special Geometry. Three Dimensions. • Yuho Shin, Ph. D. December 2006. Thesis: Geodesics of a two-step nilpotent Lie group. • Christopher Frayer, Ph. D., August 2008. Thesis: Scattering with singular Miura potentials on the line. • Ryan Walker, May 2013. Thesis: On a Paley-Wiener Theorem for the ZS-AKNS Scattering Transform. Postdoctoral Research Associates • Edward Taylor, NSF Postdoctoral Fellow, 1997-1998. • Albert Schueller, CCS Postdoctoral Research Associate (co-funded with my NSF grant and the Center for Computational Sciences), Fall 1998. • Ruth Gornet, NSF POWRE Postdoctoral Research Associate, January 1998-August 1999. • Jeffrey McGowan, NSF ROA Summer Fellow, Summer 2001 • Yilong Ni, Postdoctoral Research Associate (funded by my NSF grant), Spring 2003 • Siu-Hung Tang, Research Associate, 2006-2007 (co-funded by Perry’s and Hislop’s NSF grants together with departmental support)

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Reviews

• Featured review (in Mathematical Reviews) of L. Guillope, M. Zworski, Scattering asymptotics for Riemann surfaces, Ann. of Math. 145 (1997), 597–660.

Books

1. Scattering Theory by the Enss Method. Reports in Mathematics, vol. 1, no. 1, ed. J. Dieudonne and Barry Simon. New York: Harwood Academic Publishers, 1983. 2. (co-edited with R. Brooks, C. Gordon). Geometry of the Spectrum. (Proceedings of a Conference on Spectral Geometry, Seattle, Washington, August 1993). American Mathematical Society, 1994. 3. (co-edited with F. Gesztesy, et. al.) Festschrift in Honor of Barry Simon’s Sixtieth Birthday. Contemporary Mathematics, 2007. 4. (co-edited with Alexander Barnett, Carolyn Gordon, and Alejandro Uribe) Spectral Geometry. Proceedings of Symposia in Pure Mathematics, vol. 84.

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Articles

1. Mellin transforms and scattering theory, I. Short–range potentials. Duke Math. J. 47 (1980), 187–194. 2. (with Israel Sigal and Barry Simon) Absence of singular continuous spectrum in N–body quantum systems. Bull. Amer. Math. Soc. 3 (1980), 1019–1023. 3. Propagation of states in dilation–analytic potentials and asymptotic completeness. Comm. Math. Phys. 81 (1981), 243–259. 4. (with Israel Sigal and Barry Simon) Spectral analysis of N –body Schr¨odinger operators. Ann. Math. 114 (1981), 519–567. 5. (with George Hagedorn) Asymptotic completeness for certain three– body Schr¨odinger operators. Comm. Pure Appl. Math. 36 (1983), 213–232. ´ 6. (with Arne Jensen and Eric Mourre) Multiple commutator estimates and resolvent smoothness in quantum scattering theory. Ann. Inst. H. Poincare Phys. Th´eorique 41 (1984), 207–225. 7. (with Hans Cycon) Local time–decay of high-energy scattering states for the Schr¨odinger equation. Math. Zeits. 188 (1984), 125–142. 8. Exponential bounds and semi–finiteness of point spectrum for N –body Schr¨odinger operators. Comm. Math. Phys. 92 (1984), 481–483. 9. A remark on continuum eigenfunctions of N –body Schr¨odinger operators. In Differential Equations, Proceedings of the International Conference on Differential Equations, Birmingham, Alabama, I. W. Knowles and R. T. Lewis, eds. 10. (with George Hagedorn) Asymptotic completeness for classes of three– and four-body Schr¨odinger operators. In Differential Equations, Proceedings of the International Conference on Differential Equations, Birmingham, Alabama, I. W. Knowles and R. T. Lewis, eds. North–Holland, 1984. 11

11. (with George Hagedorn) Asymptotic completeness for four–body Schr¨odinger operators. J. Funct. Anal. 65 (1986), 172–203. 12. (with Arne Jensen) Commutator methods and Besov space estimates for Schr¨odinger operators. J. Operator Theory 14 (1985), 181–188. 13. The Laplace operator on a hyperbolic manifold, I. Spectral and scattering theory. J. Funct. Anal. 75 (1987), 161–187 (1987). 14. The Laplace operator on a hyperbolic manifold, II. Eisenstein series and the scattering matrix. J. reine angew. Math. 398 (1987), 67–91. 15. Isospectral metrics on Riemannian manifolds. In Proceedings of the Nordic Summer School of Mathematics, Sonderborg, Denmark, August 1988 (Lecture Notes in Physics, No. 345). Berlin, Heidelberg, New York: Springer–Verlag, 1989. 16. (with Robert Brooks, P. Yang) Isospectral sets of conformally equivalent metrics. Duke Math. J. 58 (1989), 131–150. 17. (with R. Froese, P. Hislop) The Mourre estimate for manifolds with cusps of non–maximal rank. J. Funct. Anal. 98 (1991), 292–310. 18. The Selberg zeta function and a local trace formula for Kleinian groups. J. reine angew. Math. 410 (1990), 116–152. 19. The Selberg zeta function and scattering poles for Kleinian groups. Bull. Amer. Math. Soc. 24 (1991), 327–333. 20. (with Richard Froese and Peter Hislop) The Laplace operator on hyperbolic three–manifolds with cusps of non–maximal rank. Inventiones Math. 106 (1991), 295–333. 21. Some spectral problems in Riemannian Geometry. In Inverse Problems in Mathematical Physics: Proceedings of the Lapland Conference on Inverse Problems, Saariselka, Finland, 14–20 June 1992. Berlin, Heidelberg, New York: Springer–Verlag, 1993. 22. (with Robert Brooks and Peter Petersen V) Compactness and finiteness theorems for isospectral manifolds, J. Reine angew. Math. 426 (1992), 67–89. 12

23. (with Robert Brooks and Peter Petersen V) On Cheeger’s inequality. Comment. Math. Helv. 68 (1993), 599–621. 24. (with Robert Brooks and Peter Petersen V) Finiteness of diffeomorphism types of isospectral manifolds. In Proc. Symp. Pure Math. 54 (1993), Part 3, 89–93. 25. (with Robert Brooks and Peter Petersen V) Some examples in Lp spectral geometry. J. Geom. Anal. 3 (1993), 293–313. 26. The Selberg zeta function and scattering poles for Kleinian groups. In Mathematical Quantum Theory, I. Schr¨odinger Operators (Vancouver, B.C. 1993), 243–251. 27. Divisor of the Selberg zeta function for Kleinian groups. Journ´ees ´ ”Equations aux D´eriv´ees Partielles” (Saint-Jean-de-Monts, 1994), Exp. ´ No. VIII, 9 pp., Ecole Polytech., Palaiseau, 1994. 28. (with Robert Brooks and Peter Petersen V) Spectral geometry in dimension 3. Acta Mathematica 173 (1994), 283–305. 29. A trace–class rigidity theorem for Kleinian groups. Annales Acad. Sci. Finnicae 20 (1995), 251–257. 30. (with D. W. Evans and Heinz Siedentop) The spectrum of relativistic one–electron atoms according to Bethe and Salpeter. Comm. Math. Phys. 178 (1996), no. 3, 733–746. 31. (with Albert W. Schueller and Lester F. Caudill) Isospectral sets for fourth–order differential operators. SIAM J. Math. Analysis 29 (1998), 935–966. 32. (with Russell Brown and Zhongwei Shen). The additive turbulent decomposition for the two–dimensional incompressible Navier–Stokes equations: convergence theorems and error estimates. SIAM J. Appl. Math. 59 (1999), 139–155. 33. (with Russell Brown and Zhongwei Shen). On the dimension of the attractor for the non–homogeneous Navier–Stokes equations in nonsmooth domains. Indiana University Math. J. 49 (2000), 81–112.

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34. (with S. J. Patterson) Divisor of the Selberg Zeta Function for Kleinian groups. Appendix A by Charles Epstein. Duke Math. J. 106 (2001), no. 2, 321–390. 35. (with Robert Brooks and Ruth Gornet) Isoscattering Schottky manifolds. Geometric and Functional Analysis 10 (2000), no. 2, 307–326. 36. Spectral theory, dynamics, and Selberg’s zeta function for Kleinian groups. Dynamical, spectral, and arithmetic zeta functions (San Antonio, TX, 1999), 145–165,Contemp. Math., 290, Amer. Math. Soc., Providence, RI, 2001. 37. Asymptotics of the length spectrum for hyperbolic manifolds of infinite volume. Geom. Funct. Anal. 11 (2001), no. 1, 132–141. 38. (with Robert Brooks) Isophasal scattering manifolds in two dimensions. Comm. Math. Phys. 223 (2001), no. 3, 465–474. 39. (with David Borthwick) Scattering poles for asymptotically hyperbolic manifolds. Trans. Amer. Math. Soc. 354 (2002), no. 3, 1215–1231. 40. (with Jeffrey McGowan) Closed geodesics in homology classes for convex co–compact hyperbolic manifolds. Proceedings of the Euroconference on Partial Differential Equations and their Applications to Geometry and Physics (Castelvecchio Pascoli, 2000). Geom. Dedicata 91 (2002), 197–209. 41. (with David Borthwick and Christopher Judge) Determinants of Laplacians and isopolar metrics on surfaces of infinite area. Duke Math. J. 118 (2003), 61–102. 42. A Poisson summation formula and lower bounds for resonances in hyperbolic manifolds. Int. Math. Res. Not. 2003, no. 34, 1837–1851 43. Carnot geometry and the resolvent of the sub–Laplacian. P.D.E. 28 (2003), 745–769.

Comm.

44. (with Floyd Williams) Selberg zeta function and trace formula for the BTZ black hole. Int. J. Pure Appl. Math. 9 (2003), no. 1, 1–21.

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45. (with David Borthwick and Christopher Judge) Selberg’s zeta function and the spectral geometry of geometrically finite hyperbolic surfaces. Commentari Math. Helv. 80 (2005), no. 3, 483–515. 46. (with Carolyn Gordon and Dorothee Schueth) Isospectral and isoscattering manifolds: a survey of techniques and examples. In Geometry, Spectral Theory, Groups, and Dynamics: Proceedings in Memory of Robert Brooks, 157–180. Israel Math. Conf. Proc. 387 (2005), Amer. Math. Soc., Providence, Rhode Island, 2005. 47. (with Thomas Kappeler, Mikhail Shubin, Peter Topalov). The Miura Map on the Line. Int. Math. Res. Not. 2005 (2005) no. 50, 30913133. 48. (with Dorothee Schueth) Continuous families of isophasal scattering manifolds which are asymptotically hyperbolic. Journal of Geometric Analysis 16 (4) (2006), 661-677. 49. (with Carolyn Gordon) Continuous families of isophasal scattering manifolds. Mathematical Research Letters 13 (4) (2006), 631-651. 50. (with Peter Hislop, Siu-Hung Tang). CR-invariants and the scattering operator for complex manifolds with CR-boundary. C. R. Acad. Sci Paris Ser. I, 342 (2006), 651-654. 51. The spectral geometry of geometrically finite hyperbolic manifolds. In Spectral theory and mathematical physics: a Festschrift in honor of Barry Simon’s 60th birthday, pp. 289–327, Proc. Sympos. Pure Math., 76, Part 1, Amer. Math. Soc., Providence, RI, 2007 52. Kappeler, T., Perry, P.; Shubin, M.; Topalov, P. Solutions of mKdV in classes of functions unbounded at infinity. J. Geom. Anal. 18 (2008), no. 2, 443–477. 53. (with Peter Hislop, Siu-Hung Tang). CR-invariants and the scattering operator for complex manifolds with CR-boundary. CR-invariants and the scattering operator for complex manifolds with boundary. Anal. PDE 1 (2008), no. 2, 197–227. 54. (with Christopher Frayer, Rostyslav Hryniv, Yaroslav Mykytyuk) Inverse scattering for Schroedinger operators with Miura potentials, I. 15

Unique Riccati representatives and ZS-AKNS systems. Inverse Problems 25 (2009), no. 11, 115007 55. (with David Borthwick) Inverse scattering results for manifolds hyperbolic near infinity. J. Geom. Anal. 21 (2011), no. 2, 305–333. 56. (with Rostyslav Hryniv, Yaroslav Mykytyuk) Inverse scattering for Schr¨odinger operators with Miura potentials, II. Differential Riccati representatives. Comm. Partial Differential Equations 36 (2011), no. 9, 1587–1623. 57. (with Rostyslav Hryniv, Yaroslav Mykytyuk). Sobolev mapping properties of the scattering transform for the Schr¨odinger equation. Spectral theory and geometric analysis, 79–93, Contemp. Math., 535, Amer. Math. Soc., Providence, RI, 2011. 58. with Jozef Dodziuk, Jeffrey McGowan Harmonic representations for cuspidal cohomology classes. In Number Theory, Analysis and Geometry: In Memory of Serge Lang, pp. 61–168. New York: Springer, 2012. 59. (with David Borthwick, Tanya Christiansen, and Peter Hislop). Resonances for manifolds hyperbolic near infinity: optimal lower bounds on order of growth. Int. Math. Res. Not. IMRN 2011, no. 19, 4431–4470. 60. Ehrenborg, Richard; Kitaev, Sergey; Perry, Peter. A spectral approach to consecutive pattern-avoiding permutations. J. Comb. 2 (2011), no. 3, 305–353. 61. Global well-posedness and large-time asymptotics for the defocussing Davey-Stewartson II equation. Submitted J. Spectral Theory, accepted subject to revisions and re-review. 62. Miura maps and inverse scattering for the Novikov-Veselov equation. To appear in Analysis and Partial Differential Equations. 63. (with M. Music, S. Siltanen). Exceptional circles of radial potentials. Inverse Problems, 29 (2013), no. 4, 045004.

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64. (with R. Croke, J. Mueller, M. Music, S. Siltanen, A. Stahel). The Novikov-Veselov equation: theory and computation. To appear in Contemp. Math..

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