Genival Francisco Fernandes
da Silva Jr.

Assistant Professor of Mathematics
Texas A&M University - San Antonio
Department of Mathematics
Classroom Hall, Room 314 U
Email: gdasilva@tamusa.edu
I completed my PhD in Mathematics at Washington University in St. Louis under direction of Prof. Matt Kerr, after that I was a postdoc at Imperial College London under supervision of Prof. Tom Coates and Prof. Alessio Corti.
Research Interests
Analysis of PDE

I'm interested in nonlinear elliptic PDEs and elliptic systems, problems related to existence and regularity of solutions using variational and non-variational methods.

Research Papers
  1. A nonlinear problem related to optimal insulation.
    Under peer review
  2. A New proof of the p'-conjecture in the plane via a priori estimates.
    Under peer review
  3. Quasilinear Hardy-Hénon equation with power source.
    Under peer review
  4. An elliptic equation with power nonlinearity and degenerate coercivity.
    Journal of Elliptic and Parabolic Equations, 2025, DOI: 10.1007/s41808-025-00341-8
  5. An inhomogeneous p-laplacian equation with a Hardy potential.
    To apper in Milan journal of Mathematics
  6. On an elliptic system with singular nonlinearity.
    European Journal of Mathematics, 2025, DOI: 10.1007/s40879-025-00840-x
  7. Quasilinear elliptic equations with superlinear convection.
    To appear in Journal of Mathematical Analysis and Applications
  8. Radially symmetric solutions to a Lane-Emden type system.
    Under peer review
  9. Continuous weak solutions to the Ideal Hall equation
    Under peer review
  10. The Complexity of Higher Chow Groups
    Canadian Math. Bull. , 2023, DOI: 10.4153/S0008439522000509
    with James Lewis
  11. The Chow motive of a Fano variety of k-planes
    Communications in Algebra , 2023, DOI: 10.1080/00927872.2023.2252078
    with James Lewis
  12. Known cases of the Hodge conjecture (expository)
    arXiv
  13. On the topology of Fano smoothings
    Interactions with Lattice Polytopes, Springer, 2022, DOI: 978-3-030-98327-7
    with Tom Coates and Alessio Corti
  14. On the monodromy of elliptic surfaces
    Israel Journal of Mathematics, 2022, DOI: s11856-022-2458-4
  15. Notes on the Hodge Conjecture for Fermat Varieties
    Experimental Results , Volume 2 , 2021 , e22, DOI: 10.1017/exp.2021.14
  16. On the arithmetic of Landau-Ginzburg model of a certain class of threefolds
    Communications in Number Theory and Physics 13, No. 1, 2019, DOI: 10.4310/cntp.2019.v13.n1.a5
  17. Arithmetic of degenerating principal variations of Hodge structure: examples arising from mirror symmetry and middle convolution,
    Canadian Journal of Mathematics 68, 2014, DOI: 10.4153/CJM-2015-020-4
    with Matt Kerr and Greg Pearstein
Books
Teaching
Expository