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.

1. Radially symmetric solutions to a Lane-Emden type system. Preprint 2024
2. The Complexity of Higher Chow Groups, Canadian Math. Bull. , 2023, DOI: 10.4153/S0008439522000509
   with James Lewis
3. The Chow motive of a Fano variety of k-planes, Communications in Algebra , 2023, DOI: 10.1080/00927872.2023.2252078
   with James Lewis
4. Lyapunov exponents for G₂ variations of Hodge structures. Preprint
5. The Hodge-D conjecture for a product of elliptic curves. Preprint
   with James Lewis, Karim Mansour and Alex Ghitza
6. On the topology of Fano smoothings Interactions with Lattice Polytopes, Springer, 2022, DOI: 978-3-030-98327-7
   with Tom Coates and Alessio Corti
7. On the monodromy of elliptic surfaces, Israel Journal of Mathematics, 2022, DOI: s11856-022-2458-4
8. Notes on the Hodge Conjecture for Fermat Varieties, Experimental Results , Volume 2 , 2021 , e22, DOI: 10.1017/exp.2021.14
9. 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
10. 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
    with Matt Kerr and Greg Pearstein

1. The classical Dirichlet problem
2. Known cases of the Hodge conjecture

• Differential Equations
• Spring 2023

• Calculus I
• Spring 2022

• Algebraic Geometry
• Spring 2019

• Manifolds
• Autumn 2017

• The Hodge Conjecture: A million dollar problem
• [slides]
• Remarks on the Hodge Conjecture for Fermat Varieties
• [slides]
• Ph.D. thesis
• [slides]
• On the arithmetic of Landau-Ginzburg model of a certain class of 3-folds (My Ph.D. major oral)
• [slides]

• Complete Intersections Hodge numbers calculator

Type the multidegree (as list of numbers):

Type the dimension (as a unique number):

Result:

With respect to the didatics (how easy it is to follow) of the author not the content of the book.

1. Riemannian Geometry, M. do Carmo
2. Differential Geometry of Curves and Surfaces, M. do Carmo
3. Introduction to Real Analysis, E. Lages Lima
4. Principles of Algebraic Geometry, P. Griffiths
5. Algebraic Geometry, R. Hartshorne
6. Fourier Analysis, E. Stein
7. Complex Analysis, L. Ahlfors
8. Partial Differential Equations, L. Evans
9. Abstract Algebra, D. Dummit