Genival F. F. Da Silva Jr.

Genival
da Silva.

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 truncation methods.

Research Papers

On an elliptic system with singular nonlinearity. Under peer review
An elliptic equation with power nonlinearity and degenerate coercivity. To apper in Journal of Elliptic and Parabolic Equations
An inhomogeneous p-laplacian equation with a Hardy potential. To apper in Milan journal of Mathematics
Quasilinear elliptic equations with superlinear convection. Under peer review
Radially symmetric solutions to a Lane-Emden type system. Under peer review
Continuous weak solutions to the Ideal Hall equation Preprint
The Complexity of Higher Chow Groups, Canadian Math. Bull. , 2023, DOI: 10.4153/S0008439522000509
with James Lewis
The Chow motive of a Fano variety of k-planes, Communications in Algebra , 2023, DOI: 10.1080/00927872.2023.2252078
with James Lewis
Known cases of the Hodge conjecture (expository) arXiv
On the topology of Fano smoothings Interactions with Lattice Polytopes, Springer, 2022, DOI: 978-3-030-98327-7
with Tom Coates and Alessio Corti
On the monodromy of elliptic surfaces, Israel Journal of Mathematics, 2022, DOI: s11856-022-2458-4
Notes on the Hodge Conjecture for Fermat Varieties, Experimental Results , Volume 2 , 2021 , e22, DOI: 10.1017/exp.2021.14
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
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