Vincent R Martinez

Hunter College Applied Mathematics Seminar Schedule

CUNY Graduate Center Harmonic Analysis and PDEs Seminar Schedule

CUNY Graduate Center Data Science and Applied Topology Seminar Schedule

CUNY Graduate Center Einstein Chair Mathematics Seminar Schedule

Curriculum Vitae   pdf
 

Research Statement   pdf
 

Teaching Statement   pdf

Publications and Preprints

Was beweisbar ist, soll in der Wissenschaft nicht ohne Beweis geglaubt werden. ~Dedekind

19. Dynamically learning the parameters of a chaotic system using partial observations (with Elizabeth Carlson, Joshua Hudson, Adam Larios, Eunice Ng, and Jared P. Whitehead), arXiv:2108.08354v1, pp. 1--27, August 18, 2021, (submitted) pdf .

18. Higher-order synchronization of a nudging-based algorithm for data assimilation for the 2D NSE: a refined paradigm for global interpolant observables (with Animikh Biswas and Kenneth R. Brown), arXiv:2108.05309v1, pp. 1--36, August 11, 2021, (submitted) pdf .

17. On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces (with Michael S. Jolly and Anuj Kumar), Commun. Pure Appl. Anal., pp. 1--18, (accepted August 29, 2021) pdf .

16. On the long-time statistical behavior of smooth solutions of the weakly damped, stochastically-driven KdV equation (with Nathan E. Glatt-Holtz and Geordie H. Richards), arXiv:2103.12942v1, pp. 1--70, March 24, 2021, (submitted) pdf .

15. On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces (with Michael S. Jolly and Anuj Kumar), DOI 10.1007/s00220-021-04124-9, Commun. Math. Phys., pdf .

14. A PDE model for chemotaxis with logarithmic sensitivity and logistic growth (with Padi F. Aguilera and Kyle Zhao), arXiv:2012.10521v1, pp. 1--23, December 18, 2020, (submitted) pdf .

13. Data assimilation in large-Prandtl Rayleigh-Benard convection from thermal measurements (with Aseel Farhat, Nathan E. Glatt-Holtz, Shane A. McQuarrie, and Jared P. Whitehead), SIAM J. Appl. Dyn. Syst. 19(1), 510–540 (2020) pdf .

12. Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation (with Michael S. Jolly, Eric J. Olson, and Edriss S. Titi), Chin. Ann. Math., Ser. B, 40, 721--764 (2019) pdf .

11. A determining form for the subcritical surface quasi-geostrophic equation (with Michael S. Jolly, Tural Sadigov, and Edriss S. Titi), J. Dyn. Differ. Equations, 31, 1457--1494 (2019) pdf .

10. Data assimilation using noisy time-averaged measurements (with Jordan Blocher and Eric J. Olson), Physica D, 376-377, 49--59 (2018) pdf .

9. Asymptotic expansion for solutions of the Navier-Stokes equations with non-potential body forces (with Luan T. Hoang), J. Math. Anal. Appl., 462(1), 84--113 (2018) pdf .

8. Global Cauchy problem of a system of parabolic conservation laws arising from a Keller-Segel type chemotaxis model (with Zhengrong Liu, Kyle Zhao, and Neng Zhu), SIAM J. Math. Anal. 50(5), 5380--5425 (2018) pdf .

7. Asymptotic and Viscous Stability of Large-Amplitude Solutions of a Hyperbolic System Arising from Biology (with Zhian Wang and Kyle Zhao), Indiana Univ. Math. J., 64(4), 1383--1424 (2018) pdf .

6. Asymptotic expansion in Gevrey spaces for solutions of Navier-Stokes equation (with Luan T. Hoang), Asymptotic Anal., 104, 167--190 (2017) pdf .

5. Analyticity and Dynamics of a Navier-Stokes-Keller-Segel System on Bounded Domains (with Kyle Zhao), Dyn. Partial Differ. Equ., 14(2), 125--158 (2017) pdf .

4. A data assimilation algorithm for the subcritical surface quasi-geostrophic equation (with Michael S. Jolly and Edriss S. Titi), Adv. Nonlinear Stud., 35, 167--192 (2017) pdf .

3. Higher order synchronization for a data assimilation algorithm for the 2D Navier-Stokes equations (with Animikh Biswas), Nonlinear Anal. Real World Appl., 35, 132--157 (2017) pdf .

2. On Gevrey regularity of the supercritical SQG equation in critical Besov spaces (with Animikh Biswas and Prabath Silva), J. Funct. Anal., 269(10), 3083--3119 (2015) pdf .

1. Dissipation Length Scale Estimates for Turbulent Flows: A Wiener Algebra Approach (with Animikh Biswas, Michael S. Jolly, and Edriss S. Titi), J. Nonlinear Sci., 24(3), 441--471 (2014) pdf .

---

2021 Seminars, Colloquia, and Conferences

November 15	Oregon State University Analysis Seminar (Remote)
November 5	SUNY Stony Brook Analysis Seminar Stony Brook, NY
October 25	Indiana University Bloomington PDE Seminar Bloomington, IN
October 20	SUNY New Paltz Machine Learning Seminar (Remote)
October 15	University of Cincinnati Analysis and PDE Seminar Cincinnati, OH
October 6	Texas Tech University Probability, Differential Geometry and Mathematical Physics Seminar (Remote)
July 15	Mathematical Congress of the Americas, Special Session on New Developments in Mathematical Fluid Dynamics (Remote)
June 15	University of Bremen Applied Analysis Seminar (Remote)
June 14	Università degli Studi di Pavia and Università degli Studi di Milano joint Probability seminar (Remote)
May 4	CUNY Graduate Center, Einstein Chair Seminar (Remote)
April 23	Tulane University Applied and Computational Math Seminar (Remote)
April 13	CUNY Graduate Center, Einstein Chair Seminar (Remote)
March 30	CUNY Graduate Center, Einstein Chair Seminar (Remote)
March 15	University of Illinois-Chicago, Analysis and Applied Mathematics Seminar (Remote)
February 26	Rutgers University-Newark, Physics Colloquium (Remote)
January 6-9	Joint Mathematics Meetings, AMS Special Session on Geophysical Fluid Dynamics, Turbulence, and Data Assimilation (Remote)

---

A La Recherche Du Temps Perdu...