Curriculum Vitae
Education:
 Ph.D University of Arizona, Applied Mathematics, December 1994. Thesis Title: Macroscopic Lattice Dynamics. Thesis Committee: N. M. Ercolani, C. D. Levermore, A. C. Scott
 M.S. University of Arizona, Applied Mathematics, December 1991.
 National Science Foundation Graduate Fellow, University of Arizona, 19911993.
 B.S. (Summa Cum Laude) Southern Methodist University, Mathematical Sciences, May 1989.
 B.S. (Summa Cum Laude) Southern Methodist University, Computer Science, May 1989.
Professional History:
 September 2007Present: Professor, Department of Mathematics, University of Michigan.
 September 2006December 2006: University Fellow, Statistical and Applied Mathematical Sciences Institute (SAMSI), and Visiting Associate Professor, Department of Mathematics, University of North Carolina, Chapel Hill.
 September 2003August 2007: Associate Professor, Department of Mathematics, University of Michigan.
 August 2000August 2003: Assistant Professor, Department of Mathematics, University of Michigan.
 June 1998August 2000: Logan Fellow, Department of Mathematics and Statistics, Monash University, Clayton, Victoria, Australia.
 September 1997June 1998: Member, School of Mathematics, Institute for Advanced Study, Princeton, New Jersey.
 January 1995September 1997: Postdoctoral Fellow, Optical Sciences Centre, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, Australia.
Main Research Interests:
 Multiscale phenomena in nonlinear systems of mathematical physics, including random matrix theory and singular limits of dispersive waves. Modulation theory of nonlinear multiphase waves. Modulational and linearized stability of waves.
 Integrable nonlinear systems. Soliton theory and methods of algebraic geometry.
 Complex analysis. RiemannHilbert problems and applications to integrable systems theory, random matrix theory, and approximation theory.
 Exactly solvable linear wave equations. Applications to optical waveguide theory.
Awards and Funding Received:
 2018: National Science Foundation Research Grant. Funded project title: A Study of Wave Patterns. $390,000. Grant number DMS1812625.
 2015: National Science Foundation Research Grant. Funded project title: Applied Analysis for Integrable Nonlinear Waves. $380,000. Grant number DMS1513054.
 2014: National Science Foundation Conference Grant. Conference and Workshop on Scattering and Inverse Scattering in MultiDimensions, University of Kentucky, Lexington, KY, May 2014. $28,726. Grant number DMS1408891. CoPI's: Ken McLaughlin (Arizona) and Peter Perry (Kentucky).
 2013: University of Sydney International Research Collaboration Award. Grant number 162429.
 2013: Simons Foundation Fellowship in Mathematics. Funded prject title: Research in Asymptotic Analysis of Nonlinear Waves in New Settings. Grant number 267106.
 2012: National Science Foundation Research Grant. Funded project title: Frontiers in Asymptotic Analysis for Integrable Nonlinear Waves. $315,000. Grant number DMS1206131.
 2008: National Science Foundation Research Grant. Funded project title: Asymptotic Problems in Nonlinear Waves and Beyond. $300,000. Grant number DMS0807653.
 2004: National Science Foundation FRG Grant. Funded project title: Asymptotic Questions in Integrable Nonlinear Wave Theory. $314,837. Grant number DMS0354373.
 2002: Alfred P. Sloan Foundation Research Fellowship.
 2001: National Science Foundation Research Grant. Funded project title: The Semiclassical Limit of the Focusing Nonlinear Schrödinger Equation. $102,002. Grant number DMS0103909.
 2001: Rackham Fellowship, University of Michigan. Funded project title: The Semiclassical Limit of the Focusing Nonlinear Schrödinger Equation.
 1997: Logan Fellowship, Monash University. Funded project title: Spontaneous Oscillations in Weakly Dispersive Discrete Integrable Systems: Prediction of Onset and Characterization.
 1995: Institute of Advanced Studies/Australian Universities' Research Collaboration Scheme. Funded project title: Integrable Numerical Schemes.
 1990: National Science Foundation Graduate Fellowship.
Important Presentations:
 Plenary Lecture, 6th Texas Analysis and Mathematical Physics (TexAMP) Symposium, Baylor University, October 2628, 2018.
 Plenary Lecture, XI Americas Conference on Differential Equations and Nonlinear Analysis, Edmonton, Alberta, Canada, August 1519, 2017.
 Plenary Lecture, International Conference on Orthogonal Polynomials, Special Functions and Applications (OPSFA14), University of Kent, Canterbury UK, July 37, 2017.
 Public Lecture, 5th Multidisciplinary Science Forum, Japan Society for the Promotion of Science (JSPS), University of Florida, Gainesville, November 2014.
 Plenary Lecture, Foundations of Applied and Computational Mathematics, New Jersey Institute of Technology, May 2014.
 Invited Lecture, 69th Midwest Partial Differential Equations Seminar, University of Illinois, Chicago, Illinois, April 2012.
 Semiplenary Lecture, Workshop on Asymptotics and High Oscillation, Foundations of Computational Mathematics, Budapest, Hungary, July 2011.
 Invited Lecture, 61st Midwest Partial Differential Equations Seminar, The Ohio State University, Columbus, Ohio, November 2008.
 Semiplenary Lecture, Workshop on Asymptotic Analysis, Foundations of Computational Mathematics, City University of Hong Kong, Hong Kong, China, June 2008.
 Keynote Address, 4th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, Georgia, April 2005.
 Invited Lecture, 26th Midwest Probability Colloquium, Tutorial Program on Random Matrix Theory, Northwestern University, Evanston, Illinois, October 2004.
 Plenary Address, SIAM Dynamical Systems, Snowbird, Utah, May 2003.
Teaching and Mentorship Experience:
Undergraduate Teaching:
 2011: Lecturer in Undergraduate Summer School "Introduction to Mathematical Physics and Quantization", May 2328, 2011, Notre Dame University.
 20042006: Course coordinator for University of Michigan Math 216 (Introduction to Differential Equations), a large, multisection course.
 2002: Research Experience for Undergraduates (REU) mentorship. Project title (joint with T. Blass): The sineGordon equation and its applications to long Josephson junctions.
 2000Present: University of Michigan Math 185 (Honors Calculus and Analytical Geometry I), Math 216 (Introduction to Differential Equations), Math 255 (Applied Honors Calculus III: Multivariate Calculus), Math 256 (Applied Honors Calculus IV: Differential Equations), and Math 316 (Differential Equations).
 19931994: Teaching Assistant, Department of Mathematics, University of Arizona.
Graduate Teaching and Mentorship:
 20082013: Director, graduate program in Applied and Interdisciplinary Mathematics (AIM).
 20142018: PhD supervision of Bingying Lu (Mathematics). Thesis title: "The SemiClassical SineGordon Equation, Universality at the Gradient Catastrophe and the PainlevéI Equation".
 20112015: PhD supervision of Alfredo Wetzel, a student in Applied and Interdisciplinary Mathematics (AIM). Thesis title: "Three Stratified Fluid Models: BenjaminOno, Tidal Resonance, and QuasiGeostrophy".
 20072010: PhD supervision of Zhengjie Xu, a student in Applied and Interdisciplinary Mathematics (AIM). Thesis title: "Asymptotic Analysis and Numerical Analysis of the BenjaminOno Equation".
 2017: Dissertation committees of D. Wood (Mathematics), M. Jacobs (Mathematics), and S. Sivamakrishnan (Electrical Engineering). 2016: Dissertation committees of W. Li (AIM) and H. Razavi (AIM). 2014: Dissertation committee of Y. Wu (AIM). 2013: Dissertation committee of J. Beichman (Mathematics). 20122013: Dissertation committee of C. Zhang (Electrical Engineering). 20102014: Dissertation committee of Z. Liu (Mathematics). 20102012: Dissertation committee of M. Masarik (AIM). 20092012: Dissertation committee of D. Rooney (AIM) and S. Flores (AIM). 2011: Dissertation committee of N. Totz (Mathematics). 20102011: Dissertation committee of X. Ma (Electrical Engineering). 20092010: Dissertation committee of T. Wu (Electrical Engineering) and Brian Jennings (AIM). 20082010: Dissertation committee of T. Ohsawa (AIM). 2008: Dissertation committee of R. Hegde (Electrical Engineering). 20052008: Dissertation committee of A. Tabatabaeenejad (Electrical Engineering). 2003: Dissertation committee of R. Walker (Mathematics). 2002: Dissertation committee of E. Kirr (Mathematics) and V. Perlin (Electrical Engineering).
 2006: Textbook authorship. Applied Asymptotic Analysis, Graduate Studies in Mathematics, Volume 75, AMS publications, Providence. (467 pages)
 2009: Tutorial lecturer in the Graduate Summer Workshop on Random Matrix Theory, MSRI, July 2009. 2006: Coteaching of a graduate course in Random Matrix Theory held at the Statistical and Applied Mathematical Sciences Institute (SAMSI) in Fall 2006.
 2000Present: University of Michigan Math 501 (Applied and Interdisciplinary Mathematics Student Seminar), Math 555 (Applied Complex Variables), Math 556 (Applied Functional Analysis), Math 557 (Applied Asymptotic Analysis), Math 558 (Applied Nonlinear Dynamics), Math 651 (Integrable Systems, Nonlinear Waves, and Soliton Theory), Math 756 (Integrable Systems and RiemannHilbert Problems).
Postdoctoral Mentorship:

Current faculty mentorship for postdoctoral
assistant professors
 Sitai Li (2018present).
 Deniz Bilman (2015Present).
 Amber Music (2016Present).
 Guilherme Silva (2016Present).
 Organization of a Working Group on Integrability and Asymptotics, involving several postdocs and graduate students. Joint work originating in this working group has resulted in several publications.

Former faculty mentorship for postdoctoral assistant professors
 Thomas Bothner (20152018), now tenuretrack at Kings College, London.
 David Smith (20152016), now tenuretrack at Yale University / National University of Singapore.
 Karl Liechty (20112014), now tenuretrack at DePaul University.
 Robert Jenkins (20092012), now at Colorado State University.
 Richard Kollár (20052009), now at Comenius University, Bratislava, Slovakia.
 Robert Buckingham (20052008), now associate professor at the University of Cincinnati.
 Jeffery DiFranco (20042007), formerly Assistant Professor at Seattle University, now at Liberty Mutual Insurance.
 Guadalupe Lozano Terán (20042007), now Director of Development and Evaluation, School of Mathematical Sciences, and Visiting Assistant Professor of Mathematics at the University of Arizona.
 Gregory Lyng (20022005), formerly Full Professor and Department Chair at the University of Wyoming, now at United Healthcare.
Service:
 Associate Editor, Boletín de la Sociedad Matemática Mexicana (2018Present).
 Associate Editor, Studies in Applied Mathematics (2018present).
 Guest Editor, special issue of Fields Institute Communications on Dispersive Partial Differential Equations and Inverse Scattering (20172018).
 Guest Editor, special issue of SIGMA on Painlevé Equations and Applications in Memory of Andrei Kapaev (20172018).
 Associate Editor, Quarterly of Applied Mathematics (2017Present).
 Guest Editor, special issue of Physica D on Dispersive Hydrodynamics and the legacy of G. B. Whitham (20152016).
 Associate Editor, Physica D (20132018).
 Associate Editor, SIAM Journal on Mathematical Analysis (2009Present).
 Guest Editor, special issue of Comm. Math. Sci. in honor of the 60th birthday of C. D. Levermore (20102011).
 Chair, SIAM Activity Group on Nonlinear Waves and Coherent Structures (20172018).
 Program Director, SIAM Activity Group on Nonlinear Waves and Coherent Structures (20092010).
 Academic Program Review Committee, Department of Mathematics, University of Arizona (2009).
 National Science Foundation Review Panel service (2005, 2006, 2011, 2013, 2016, 2017).
 Rackham Distinguished Dissertation Award Committee (2001).
 Departmental committees: Admissions and Fellowships (20012002, 2008), AIM Graduate / Admissions and Fellowships (chair, 20082013), Doctoral (20082013), Education (20082013), Executive (20052006, 20152016), Masters (20082013), Personnel (20032005, 20172018), Applied Analysis Qualifying Review Exam committee: (20012006, 20162018), Long Range Planning Committee (20102015).
 Peer referee for: AMS, Cambridge University, CRC, and London Mathematical Society Presses, and numerous journals, including Advances in Theoretical and Mathematical Physics, Annals of Mathematics, ANZIAM Journal of Applied Mathematics, International Mathematics Research Notices, CHAOS, Communications in Mathematical Physics, Communications on Pure and Applied Mathematics, Constructive Approximation, Electronic Transactions on Numerical Analysis, Journal of Approximation Theory, Journal of Computational Physics, Journal of the Faculty of Science, United Arab Emirates University, Journal of Mathematical Analysis and Applications, Journal of Mathematical Physics, Journal of Nonlinear Science, Mathematical Reviews, Nonlinear Differential Equations and Applications, Nonlinearity, Optics Communications, Photonics Technology Letters, Physica D, Physica Scripta, Physical Review E, Physical Review Letters, and Physics Letters A.
Synergistic Activities:
 Organization (with D. Viswanath) of departmental Applied and Interdisciplinary Mathematics Seminar (2001Present).
 Organization (with P. Duren) of departmental Complex Analysis Seminar (20082009).
 Organization of departmental Working Group in Integrable Systems and Asymptotics (2004Present).

Frequent organization of minisymposia, special sessions at large
meetings, and workshops, programs, meetings, and conferences themselves. Most recently:
 Coorganizer (with B. Feng, J.H. Lee, and K. Maruno) of a special session on Integrable Systems and their Applications, 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan, July 2018.
 Coorganizer (with J. Baik and T. Bothner), MCAIM Workshop on Painlevé Equations and Applications in Memory of Andrei Kapaev, University of Michigan, August 2017.
 Coorganizer (with P. Perry, J.C. Saut, and C. Sulem), Fields Institute Focus Program on Nonlinear Dispersive Equations, Fields Institute, August 2017.
 Coorganizer (with J. Bronski and R. Plaza), CMOBIRS Workshop on Geometrical Methods, Non SelfAdjoint Spectral Problems, and Stability of Periodic Structures, Casa Matemática Oaxaca, Mexico, June 2017.
 Organization (joint with R. Buckingham) of a special session on Asymptotics and Applied Analysis, Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, GA, March 2017.
 Organization of a Minisymposium on Asymptotic Problems in Integrable Systems and Random Matrix Theory, Fourth International Conference: Nonlinear Waves  Theory and Applications, Beijing, China, June 2016.
 Coorganizer (with K. McLaughlin and P. Perry), Conference and Workshop on Scattering and Inverse Scattering in MultiDimensions, University of Kentucky, Lexington, KY, May 2014.
 Coorganizer (with L. Bieri), 71st Midwest Partial Differential Equations Seminar, Ann Arbor, MI, May 2013.
 Cochair, SIAM Conference on Nonlinear Waves and Coherent Structures, Philadelphia, PA, August 2010.
 Organization (joint with J. Bronski and K. McLaughlin) of a special session on Asymptotics of Nonlinear Waves and Related Problems as part of the 6th IMACS conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, March 2009. Also service on the scientific program committee for this conference and organization of a Tutorial lecture series.
 Organization (joint with A. Tovbis) of a special session on Direct and Inverse Scattering Transforms for Integrable Systems and their Semiclassical Limits as part of the 2008 International Workshop on Operator Theory and its Applications (IWOTA), College of William and Mary, Williamsburg, VA, July 2008.
 Organization (joint with R. Buckingham, J. DiFranco, and R. Kollar) of a special session on Nonselfadjoint Spectral Problems as part of the 5th IMACS conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, April 2007. Also, service on the scientific program committee for this conference.
 Organization (joint with E. Basor) of a special session on New Developments and Directions in Random Matrix Theory as part of the AMS sectional meeting in Tucson, AZ, April 2007.