## 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, 1991-1993.
- 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 2007-Present: Professor, Department of Mathematics, University of Michigan.
- September 2006-December 2006: University Fellow, Statistical and Applied Mathematical Sciences Institute (SAMSI), and Visiting Associate Professor, Department of Mathematics, University of North Carolina, Chapel Hill.
- September 2003-August 2007: Associate Professor, Department of Mathematics, University of Michigan.
- August 2000-August 2003: Assistant Professor, Department of Mathematics, University of Michigan.
- June 1998-August 2000: Logan Fellow, Department of Mathematics and Statistics, Monash University, Clayton, Victoria, Australia.
- September 1997-June 1998: Member, School of Mathematics, Institute for Advanced Study, Princeton, New Jersey.
- January 1995-September 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. Riemann-Hilbert problems and applications to integrable systems theory, random matrix theory, orthogonal polynomials, and approximation theory. Classical and modern special functions of Painlevé type.
- Exactly solvable linear wave equations (integrable couplings). 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 DMS-1812625.
- 2015: National Science Foundation Research Grant. Funded project title: Applied Analysis for Integrable Nonlinear Waves. $380,000. Grant number DMS-1513054.
- 2014: Institute for Mathematics and its Applications (IMA) Participating Institution Conference Grant. Conference and Workshop on Scattering and Inverse Scattering in Multi-Dimensions. $4,500.
- 2014: National Science Foundation Conference Grant. Conference and Workshop on Scattering and Inverse Scattering in Multi-Dimensions, University of Kentucky, Lexington, KY, May 2014. $28,726. Grant number DMS-1408891. Co-PI's: Ken McLaughlin (Arizona) and Peter Perry (Kentucky).
- 2013: University of Sydney International Research Collaboration Award. Funded project title: Numerical Methods for Inverse-Scattering and Stability of Nonlinear Waves. Grant number 162429.
- 2013: Institute for Mathematics and its Applications (IMA) Participating Institution Conference Grant. The 71st Midwest Partial Differential Equations Seminar. $5,000.
- 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 DMS-1206131.
- 2008: National Science Foundation Research Grant. Funded project title: Asymptotic Problems in Nonlinear Waves and Beyond. $300,000. Grant number DMS-0807653.
- 2004: National Science Foundation FRG Grant. Funded project title: Asymptotic Questions in Integrable Nonlinear Wave Theory. $314,837. Grant number DMS-0354373.
- 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 DMS-0103909.
- 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. Collaboration with N. Joshi.
- 1990: National Science Foundation Graduate Fellowship.

### Important Presentations:

- Plenary Lecture, 5th International Workshop on Nonlinear and Modern Mathematical Physics, University of Hawaii at Manoa, Honolulu, HI, May 20, 2019.
- Plenary Lecture, 6th Texas Analysis and Mathematical Physics (TexAMP) Symposium, Baylor University, October 26-28, 2018.
- Plenary Lecture, XI Americas Conference on Differential Equations and Nonlinear Analysis, Edmonton, Alberta, Canada, August 15-19, 2017.
- Plenary Lecture, International Conference on Orthogonal Polynomials, Special Functions and Applications (OPSFA-14), University of Kent, Canterbury UK, July 3-7, 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 (FOCM), 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 (FOCM), 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.

### Recent Lecture Series and Short Courses:

- Short Course (5 Lectures) on Riemann-Hilbert Methods in Integrable Systems, National Sun Yat-Sen University, Kaohsiung, Taiwan. August 2019.
- Short Course (4 Lectures) on Riemann-Hilbert Methods in Integrable Systems, Fields Institute, Toronto, Canada. July-August 2017.
- Short Course (4 Lectures) on Riemann-Hilbert Methods in Integrable Systems, Waseda University, Tokyo, Japan. May 2017.
- Tutorial on Singular Limits for Integrable Equations, International Workshop on Integrable Systems, CASTS, National Taiwan University, Taipei, Taiwan. October 2015.
- Short Course (2 Lectures) on Introduction to Semiclassical Asymptotic Analysis, Fudan University, Shanghai, China. June 2014.
- Short Course (2 Lectures) on Introduction to Semiclassical Asymptotic Analysis, Workshop on Scat- tering and Inverse Scattering in Multidimensions, University of Kentucky, Lexington, Kentucky. May 2014.

### Teaching and Mentorship Experience:

#### Undergraduate Teaching:

- Special Courses: Lecturer in Undergraduate Summer School "Introduction to Mathematical Physics and Quantization", May 23-28, 2011, Notre Dame University.
- Multisection Course Coordination: University of Michigan Math 216 (Introduction to Differential Equations, several hundred students), 2004-2006.
- Undergraduate Research Mentorship: T. Blass, The sine-Gordon equation and its applications to long Josephson junctions, Research Experience for Undergraduates (REU), 2002.
- Undergraduate Course Teaching: 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), Math 316 (Differential Equations), and Math 425 (Introduction to Probability).

#### Graduate Teaching and Mentorship:

- 2008-2013: Director, graduate program in Applied and Interdisciplinary Mathematics (AIM).
- 2014-2018: PhD supervision of Bing-Ying Lu (Mathematics). Thesis title: "The Semi-Classical Sine-Gordon Equation, Universality at the Gradient Catastrophe and the Painlevé-I Equation".
- 2011-2015: PhD supervision of Alfredo Wetzel (Applied and Interdisciplinary Mathematics). Thesis title: "Three Stratified Fluid Models: Benjamin-Ono, Tidal Resonance, and Quasi-Geostrophy".
- 2007-2010: PhD supervision of Zhengjie Xu (Applied and Interdisciplinary Mathematics). Thesis title: "Asymptotic Analysis and Numerical Analysis of the Benjamin-Ono Equation".
- Dissertation committees: M. Olson (Applied and Interdisciplinary Mathematics, 2020); W. Clark (Applied and Interdisciplinary Mathematics, 2020); Q. Su (Mathematics, 2019); H. Wu (Applied and Interdisciplinary Mathematics, 2019); S. Agrawal (Mathematics, 2018); D. Wood (Mathematics, 2017); M. Jacobs (Mathematics, 2017); S. Sivamakrishnan (Electrical Engineering, 2017); W. Li (Applied and Interdisciplinary Mathematics, 2016); H. Razavi (Applied and Interdisciplinary Mathematics, 2016); Z. Liu (Mathematics, 2014); Y. Wu (Applied and Interdisciplinary Mathematics, 2014); J. Beichman (Mathematics, 2013); C. Zhang (Electrical Engineering, 2013); S. Flores (Applied and Interdisciplinary Mathematics, 2012); M. Masarik (Applied and Interdisciplinary Mathematics, 2012); D. Rooney (Applied and Interdisciplinary Mathematics, 2012); X. Ma (Electrical Engineering, 2011); N. Totz (Mathematics, 2011); B. Jennings (Applied and Interdisciplinary Mathematics, 2010); T. Ohsawa (Applied and Interdisciplinary Mathematics, 2010); T.-W. Wu (Electrical Engineering, 2010); R. Hegde (Electrical Engineering, 2008); A. Tabatabaeenejad (Electrical Engineering, 2008); R. Walker (Mathematics, 2003); E. Kirr (Mathematics, 2002); V. Perlin (Electrical Engineering, 2002).
- Textbook authorship:
*Applied Asymptotic Analysis*, Graduate Studies in Mathematics, Volume 75, AMS publications, Providence, 2006. (467 pages) - Special Graduate Courses and Summer Schools: Tutorial lecturer, Graduate Summer Workshop on Random Matrix Theory, MSRI, July 2009; Co-instrutor, graduate course in Random Matrix Theory, Statistical and Applied Mathematical Sciences Institute (SAMSI), Fall 2006.
- Graduate Course Teaching: 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 Riemann-Hilbert Problems).

#### Postdoctoral Mentorship:

- Ahmad Barhoumi (2020-present).
- Andrei Prokhorov (2019-present).
- Sitai Li (2018-present).
- Amber Music (2016-2020).
- Guilherme Silva (2016-2019), now FAPESP Young Investigator fellow at the Instituto de Ciências Matemáticas e de Computação - Universidade de São Paulo (ICMC - USP), Brazil.
- Deniz Bilman (2015-2019), now tenure-track at the University of Cincinnati.
- Thomas Bothner (2015-2018), now tenure-track at Bristol University.
- David Smith (2015-2016), now tenure-track at Yale University / National University of Singapore.
- Karl Liechty (2011-2014), now tenure-track at DePaul University.
- Robert Jenkins (2009-2012), now tenure-track at the University of Central Florida.
- Richard Kollár (2005-2009), now at Comenius University, Bratislava, Slovakia.
- Robert Buckingham (2005-2008), now associate professor at the University of Cincinnati.
- Jeffery DiFranco (2004-2007), formerly assistant professor at Seattle University, now at Liberty Mutual Insurance.
- Guadalupe Lozano Terán (2004-2007), now Director of Development and Evaluation, School of Mathematical Sciences, and Visiting Assistant Professor of Mathematics at the University of Arizona.
- Gregory Lyng (2002-2005), formerly full professor and department chair at the University of Wyoming, now at United Healthcare.

### Service and Synergistic Activities:

- Elected Positions:
- Chair, SIAM Activity Group on Nonlinear Waves and Coherent Structures (2017-2018).
- Program Director, SIAM Activity Group on Nonlinear Waves and Coherent Structures (2009-2010).
- Editorial Duties:
- Associate Editor,
*Journal of Nonlinear Science*(2019-Present). - Associate Editor,
*SIGMA (Symmetry, Integrability and Geometry: Methods and Applications)*(2019-Present). - Associate Editor,
*Boletín de la Sociedad Matemática Mexicana*(2018-Present). - Associate Editor,
*Studies in Applied Mathematics*(2018-present). - Guest Editor, special volume of
*Fields Institute Communications*on Dispersive Partial Differential Equations and Inverse Scattering (2017-2018). - Guest Editor, special issue of
*SIGMA*on Painlevé Equations and Applications in Memory of Andrei Kapaev (2017-2018). - Associate Editor,
*Quarterly of Applied Mathematics*(2017-Present). - Guest Editor, special issue of
*Physica D*on Dispersive Hydrodynamics and the legacy of G. B. Whitham (2015-2016). - Associate Editor,
*Physica D*(2013-2018). - Associate Editor,
*SIAM Journal on Mathematical Analysis*(2009-Present). - Guest Editor, special issue of
*Comm. Math. Sci.*in honor of the 60th birthday of C. D. Levermore (2010-2011). - Review Panel Duties:
- National Science Foundation Review Panel service (2005, 2006, 2011, 2013, 2016, 2017).
- Academic Program Review Committee, Department of Mathematics, University of Arizona (2009).
- Rackham Graduate School Distinguished Dissertation Award Committee (2001).
- Proposal review for the US-Israel Binational Science Foundation (BSF), Research Foundation of Flanders (FWO) and the Austrian Science Fund (FWF).
- Departmental Committees:
- Admissions and Fellowships (2001-2002, 2008, 2020-Present).
- Personnel (2003-2005, 2017-2018).
- Executive (2005-2006, 2015-2016).
- Computer (2018-2019).
- Lecturer Hiring and Evaluation (2018-Present).
- Applied Analysis Qualifying Review Exam (2001-2006, 2016-Present).
- Long-Range Planning Committee (2010-2015, 2018-Present).
- Applied and Interdisciplinary Mathematics Graduate Admissions and Fellowships (chair, 2008-2013).
- Doctoral (2008-2013).
- Masters (2008-2013).
- Education (2008-2013).
- Professional Ethics Course Instruction (2014-2018).
- Conference and Seminar Organization:
- Departmental Seminars: Applied and Interdisciplinary Mathematics Seminar (co-organizer, 2001-Present); Complex Analysis Seminar (co-organizer, 2008-2009); Working Group in Integrable Systems and Asymptotics (2004-2008); Integrable Systems and Random Matrix Theory Seminar (co-organizer, 2016-Present).
- Conferences and Workshops: Michigan Center for Applied and Interdisicplinary Mathematics (MCAIM) Workshop on Painlevé Equations in the Midwest, University of Michigan, August 2019 (co-organized with G. Silva), Workshop on Nonlinear Dispersive Equations, Fields Institute, May 2019 (co-organized with P. Perry, J.-C. Saut, and C. Sulem), MCAIM Workshop on Painlevé Equations and Applications in Memory of Andrei Kapaev, University of Michigan, August 2017 (co-organized with J. Baik and T. Bothner); Fields Institute Focus Program on Nonlinear Dispersive Equations, Fields Institute, August 2017 (co-organized with P. Perry, J.-C. Saut, and C. Sulem); CMO-BIRS Workshop on Geometrical Methods, Non Self-Adjoint Spectral Problems, and Stability of Periodic Structures, Casa Matemática Oaxaca, Mexico, June 2017 (co-organized with J. Bronski and R. Plaza); Conference and Workshop on Scattering and Inverse Scattering in Multi-Dimensions, University of Kentucky, Lexington, KY, May 2014 (co-organized with K. McLaughlin and P. Perry); 71st Midwest Partial Differential Equations Seminar, Ann Arbor, MI, May 2013 (co-organized with L. Bieri); SIAM Conference on Nonlinear Waves and Coherent Structures, Philadelphia, PA, August 2010 (conference co-chair).
- Recent Special Sessions and Minisymposia: Special session on Modern Methods for Dispersive Wave Equations, 11th IMACS Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, April 2019 (co-organized with R. Buckingham); Special session on Integrable Systems and their Applications, 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan, July 2018 (co-organized with B. Feng, J.-H. Lee, and K. Maruno); 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 (co-organized with R. Buckingham); Minisymposium on Asymptotic Problems in Integrable Systems and Random Matrix Theory, Fourth International Conference: Nonlinear Waves - Theory and Applications, Beijing, China, June 2016; Special session on New Techniques and Results in Integrable and Near-Integrable Nonlinear Waves, AMS sectional meeting, Honolulu, HI, 2012 (co-organized with J. DiFranco); Special session on Asymptotics of Nonlinear Waves and Related Problems, 6th IMACS conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, March 2009 (co-organized with J. Bronski and K. McLaughlin including a tutorial lecture series); Special session on Direct and Inverse Scattering Transforms for Integrable Systems and their Semiclassical Limits, International Workshop on Operator Theory and its Applications (IWOTA), College of William and Mary, Williamsburg, VA, July 2008 (co-organized with A. Tovbis); Special session on Nonselfadjoint Spectral Problems, 5th IMACS conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, April 2007 (co-organized with R. Buckingham, J. DiFranco, and R. Kollár); Special session on New Developments and Directions in Random Matrix Theory, AMS sectional meeting, Tucson, AZ, April 2007 (co-organized with E. Basor).
- Review Work: Book proposal review for AMS, Cambridge University Press, CRC, London Mathematical Society Press, SIAM, Springer-Verlag, et al.; Published article review work for
*Mathematical Reviews*; Regular peer review for various journals in Mathematics, Applied Mathematics, Physics, and Engineering.