Biography

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. 

Personal Webpage

http://gdasilvajr.com/

Publications

• (with James Lewis) 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, Karim Mansour and Alex Ghitza) The Hodge-D conjecture for a product of elliptic curves. Preprint
• Notes on the Hodge Conjecture for Fermat Varieties, Experimental Results , Volume 2 , 2021 , e22, DOI: 10.1017/exp.2021.14
• Known cases of the Hodge conjecture. Preprint
• Lyapunov exponents for G₂ variations of Hodge structures. Preprint
• (with Tom Coates and Alessio Corti) On the topology of Fano smoothings Interactions with Lattice Polytopes, Springer, 2022, DOI: 978-3-030-98327-7
• On the monodromy of elliptic surfaces, Israel Journal of Mathematics, 2022, DOI: s11856-022-2458-4
• On the arithmetic of Landau-Ginzburg model of a certain class of threefolds, CNTP Vol. 13, No. 1, 2019, DOI: 10.4310/cntp.2019.v13.n1.a5
• (with Matt Kerr and Greg Pearstein) Arithmetic of degenerating principal variations of Hodge structure: examples arising from mirror symmetry and middle convolution, Canad. J. Math. 68, 2014, DOI: 10.4153/CJM-2015-020-4