Presentations

  1. Explicit neural network constructions for overcoming the curse of dimensionality in the approximation of semilinear parabolic equations; Numerical Analysis Seminar; Department of Mathematics, Baylor University; Waco, Texas (July 30, 2021) (invited).

  2. Lecture Series on Pure and Applied Mathematics Lecture #2: Algebra and Applied Mathematics; Applied Mathematics Seminar; Department of Mathematical Sciences, University of Arkansas; Fayetteville, Arkansas (March 3, 2021) (invited).

  3. Lecture Series on Pure and Applied Mathematics Lecture #1: Analysis and Applied Mathematics; Applied Mathematics Seminar; Department of Mathematical Sciences, University of Arkansas; Fayetteville, Arkansas (February 3, 2021) (invited).

  4. Beating the curse of dimensionality in high-dimensional stochastic fixed-point equations; Third Annual Meeting of SIAM Texas-Louisiana Section; online (October 17, 2020) (invited).

  5. Beating the curse of dimensionality in high-dimensional partial differential equations; Applied Mathematics Seminar; Department of Mathematical Sciences, University of Arkansas; Fayetteville, Arkansas (September 20, 2020) (invited).

  6. A proof that deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations; Applied Mathematics Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (March 11, 2020) (invited).

  7. A nonlinear splitting algorithm for preserving asymptotic features of stochastic singular differential equations; Joint Mathematics Meeting, Special Session; Denver, Colorado (January 2020) (invited).

  8. Modeling physical systems with the fractional Laplace operator and its use in the Anderson localization problem; The Center for Astrophysics, Space Physics, and Engineering Research; Baylor University; Waco, Texas (November 2019) (invited).

  9. A semi-analytical approach to approximating non-local equations arising in porous media; SIAM Northern States Section; Laramie, Wyoming (September 2019) (invited).

  10. A nonlinear splitting algorithm for approximating population models with self- and cross-diffusion; Biomathematics Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (September 2019) (invited).

  11. Hopf algebraic structure of numerical integrators for integro-differential equations; Geometry, Compatibility, and Structure-Preserving Conference; Issac Newton Institute, Cambridge University; Cambridge, United Kingdom (July 2019).

  12. Semi-analytical methods for the aproximation of abstract fractional extension problems; Applied Mathematics Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (April 2019) (invited).

  13. Anderson localization in nonlocal models; Analysis Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (February 2019) (invited).

  14. Operator splitting methods for approximating singular nonlinear differential equations; Numerical Analysis Seminar; Department of Mathematical Sciences, University of Delaware; Newark, Delaware (November 2018) (invited).

  15. Operator splitting methods for approximating singular nonlinear differential equations; Department Colloquium; Department of Mathematics, Baylor University; Waco, Texas (November 2018) (invited).

  16. Numerical integration techniques on manifolds and their Hopf algebraic structure; Geometry Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (October 2018) (invited).

  17. Analysis of exponential-type integration method for nonlocal diffusion problems; SIAM Annual Meeting; Special Session; Eugene, Oregon (June 2018) (invited).

  18. Lie-Butcher series from an algebraic geometry point of view; Geometry Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (April 2018) (invited).

  19. Approximating the fractional Laplace equation via operator theoretical methods; West Texas Applied Math Symposium; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (April 2018) (invited).

  20. An introduction to geometric numerical integration; Geometry Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (March 2018) (invited).

  21. Operator splitting methods for approximating differential equations; Junior Scholar Symposium; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (February 2018) (invited).

  22. An operator theoretical approach to nonlocal differential equations; Analysis Seminar; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (November 2017) (invited).

  23. Operator splitting and Lie group methods for geometric integration; Seminar in Applied Mathematics; Department of Mathematics and Statistics, Texas Tech University; Lubbock, Texas (November 2017) (invited).

  24. An exploration of quenching-combustion via globalized fractional models; SIAM Annual Meeting, Special Session; Pittsburgh, Pennsylvania (July 2017) (invited).

  25. Solving degenerate stochastic Kawarada equations via adaptive operator splitting methods; University of Central Arkansas; Conway, Arkansas (January 2017) (invited).

  26. An approach to the numerical solution of multidimensional stochastic Kawarada equations via adaptive operator splitting; Joint Mathematics Meeting; Atlanta, Georgia (January 2017).

  27. Using Matlab to solve nonlinear PDE; AMS Student Meeting; Baylor University; Waco, Texas (October 2016).

  28. Using an adaptive Crank-Nicolson scheme to solve the degenerate stochastic Kawarada equation on nonuniform grids; SIAM Central States Section Meeting, Special Session; Little Rock, Arkansas (September 2016) (invited).

  29. Positive and monotone solutions to quenching differential equations; Differential Equations Seminar; Baylor University; Waco, Texas (April 2016, 6 lectures).

  30. A semi-adaptive LOD method for solving three-dimensional degenerate Kawarada equations; AMS Spring Southeastern Sectional Meeting; Athens, Georgia (March 2016).

  31. A novel LOD method for solving degenerate Kawarada equations; CASPER Seminar; Waco, Texas (February (2016) (invited).

  32. Numerical solutions to singular differential equations; AMS Student Meeting; Baylor University; Waco, Texas (October 2015).

  33. An exploration of exponential splitting; Joint Mathematics Meeting, Special Session; San Antonio, Texas (January 2015) (invited).