Deniz Bilman

Please visit my website at http://homepages.uc.edu/~bilman/ to learn more about my research.

Ph.D.: University of Illinois at Chicago, Chicago, IL USA, 2015 (Mathematics)

2015 -2019 Postdoctoral Assistant Professor, University of Michigan, Ann Arbor, MI USA

2019 - Assistant Professor, University of Cincinnati, Cincinnati, OH USA

Investigators: Deniz Bilman, 05-2020 -07-2020 Taft Research Center, Taft Faculty Summer Research Fellowship: "Rogue Waves in Various Media", Role:PI $8,000. Active Type:Fellowship

Investigators: Deniz Bilman, 07-2017 -06-2019 AMS-Simons Foundation, AMS-Simons Travel Grant, Role: PI $4,000. Completed Type:Grant

Grant: #DMS-2108029 Investigators:Bilman, Deniz 08-01-2021 -07-31-2024 National Science Foundation Applied Analysis for Emergent Nonlinear Wave Phenomena Role:PI 195997.00 Awarded Level:Federal

Peer Reviewed Publications

Deniz Bilman, Irina Nenciu (09-2016. ) On the evolution of scattering data under perturbations of the Toda lattice. Physica D, , 330 ,1–16 More Information

Deniz Bilman and Thomas Trogdon (06-2017. ) Numerical inverse scattering for the Toda lattice. Communications in Mathematical Physics, , 352 (2 ) ,805–879 More Information

Deniz Bilman and Thomas Trogdon (07-2019. ) Benchmarking numerical methods for lattice equations with the Toda lattice. Applied Numerical Mathematics, , 141 ,19–35 More Information

Deniz Bilman and Peter D. Miller (08-2019. ) A robust inverse scattering transform for the focusing nonlinear Schrödinger equation. Communications on Pure and Applied Mathematics, , 72 (8 ) ,1722–1805 More Information

Deniz Bilman and Robert Buckingham (10-2019. ) Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation. Journal of Nonlinear Science, , 29 (5 ) ,2185–2229 More Information

Deniz Bilman, Liming Ling, and Peter D. Miller (2020. ) Extreme superposition: Rogue waves of infinite order and the Painlevé-III hierarchy .Duke Mathematical Journal, ,

Deniz Bilman and Thomas Trogdon (2020. ) On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data .Nonlinearity, ,

Deniz Bilman, Robert Buckingham, and Dengshan Wang (2020. ) Large-order asymptotics for multi-pole solitons of the focusing nonlinear Schrödinger equation II: Far-field behavior .Journal of Nonlinear Science, ,

Book Chapter

Deniz Bilman and Sotiris Konstantinou-Rizos (2017 ) Discrete integrable systems, Darboux transformations, and Yang-Baxter maps, Symmetries and integrability of difference equations .(pp. 195–260). CRM Series in Mathematical Physics, Springer

Invited Presentations

(04-2012. ) 69th Midwest PDEs Conference . University of Illinois at Chicago, Chicago, IL.

(04-2012. ) Annual SIAM Chapter Meeting . University of Illinois at Chicago, Chicago, IL.

(09-2012. ) Applied Mathematics and Analysis Seminar . University of Illinois at Chicago, Chicago, IL.

(08-2013. ) Recent Advances in PDEs and Fluids Workshop . Stanford University, Palo Alto, CA.

(10-2014. ) AMS Fall Sectional Meeting . San Francisco State Univeristy, San Francisco, CA.

(10-2014. ) Partial Differential Equations Seminar . Drexel University, Philadelphia, PA.

(11-2014. ) Graduate Analysis Seminar . University of Illinois at Chicago, Chicago, IL.

(03-2015. ) AMS Spring Sectional Meeting . Michigan State University, East Lansing, MI.

(04-2015. ) Chicago Area SIAM Student Conference . Illinoist Institute of Technology, Chicago, IL.

(06-2015. ) 13th SIAM International Symposium on Orthogonal Polynomials, Special Functions and Applications . National Institute for Standards and Technology, Gaithersburg, MD.

(06-2016. ) International Conference on Nonlinear Waves: Theory and Applications . Tsinghua University, Beijing, China.

(07-2016. ) Series of lectures at the Abecedarian of Symmetries and Integrability of Difference Equations Summer School . Université de Montréal, Montréal, Quebec CA.

(10-2016. ) AMS Fall Sectional Meeting, Special Session on Geometric Flows, Integrable Systems and Moving Frames . University of St Thomas, St Paul, MI.

(10-2016. ) Integrable Systems and Random Matrix Theory Seminar . University of Michigan, Ann Arbor, MI.

(11-2016. ) Applied and Computational Mathematics Seminar . UC Irvine, Irvine, CA.

(03-2017. ) Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena, Special Ses- sion on Asymptotics and Applied Analysis . University of Georgia, Athens, GA.

(09-2017. ) 79/80th Anniversary Midwest PDE Seminar . University of Illinois at Chicago, Chicago, IL.

(09-2017. ) Applied and Interdisciplinary Mathematics Seminar, . University of Michigan, Ann Arbor, MI.

(12-2017. ) Analysis Seminar . University of Virginia Commonwealth, Richmond, VA.

(02-2018. ) Departmental Colloquium . Wake Forest University, Winston-Salem, NC.

(03-2018. ) Departmental Colloquium . Bucknell University, Lewisburg, PA.

(03-2018. ) Departmental Colloquium . University of Wyoming, Laramie, WY.

(04-2018. ) Analysis and PDE Seminar . University of Kentucky, Lexington, KY.

(07-2018. ) The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications . National Taipei University, Taipei, Taiwan.

(11-2018. ) Applied Mathematics Seminar . University of Washington, Seattle, WA.

(11-2018. ) Integrable Systems and Random Matrix Theory Seminar . University of Michigan, Ann Arbor, Michigan.

(01-2019. ) Departmental Colloquium . University of Cincinnati, Cincinnati, OH.

(01-2019. ) Departmental Colloquium . DePaul University, Chicago, IL.

(04-2019. ) Departmental Seminar . Colorado State University, Fort Collins, CO.

(04-2019. ) 11th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena, Special Session on Nonlinear Waves . University of Georgia, Athens, GA.

(05-2019. ) Nonlinear Dispersive Partial Differential Equations and Inverse Scattering Workshop . Fields Institute, Toronto, ON Canada.

Poster Presentations

(05-2013. ) CNA Summer School: Topics in Nonlinear PDEs and Calculus of Variations, and Applications in Materials Science . Carnegie Melon University, Pittsburgh, PA. .

(08-2017. ) Focus Program on Nonlinear Dispersive Partial Differential Equations and Inverse Scattering . Fields Institute, Toronto, ON Canada. .

Lecture

(2016. ) Expository Lecture "What Are Solitons?" . University of Michigan, Ann Arbor, MI.

Event Organized

AMS Fall Sectional Meeting, Special Session "Modern Trends in Integrable Systems" 10-20-2018 10-21-2018 University of Michigan, Ann Arbor, MI

Inaugural Chicago Area SIAM Students Conference 04-2014 University of Illinois at Chicago, Chicago, IL

2019 Honored Instructor Award (by University of Michigan). Nominated and chosen by students "for having an impact on their lives and academic careers".

2017 The B. Alan Taylor Award (by Department of Mathematics, University of Michigan), "for excellence in teaching, mentoring, and research".

2015 Early Career Travel Award (by SIAM)

(Committee for Prelim Examination in PDEs ) Committee Member Type:Departmental Service 08-2019 -08-2020

Nonlinear waves, integrable systems and their perturbations, Riemann-Hilbert problems, dispersive PDEs

American Mathematical Society (AMS), Member

Society of Industrial and Applied Mathematics (SIAM), Member of the activity groups on Nonlinear Waves and Coherent Structures, Analysis of Partial Differential Equations, and Orthogonal Polynomials and Special Functions

2925CGD 524
2925 Campus Green Drive
Cincinnati  Ohio, 45221
bilman@uc.edu