Presentations:

with V. Golyshev, "Computing Frobenius traces in a non-hypergeometric family", in Oxford, 2010, PDF

Publications:

• Mellit A. S., "Stochastic Integral of Skorohod Type", Theory of Stochastic Processes, 2001, vol. 7 (23), issue 3-4.

• Mellit A. S., “When the sum of three partial reflections is equal to zero”, Ukrainian Math. J. 55 (2003), no. 9, 1542-1550.

• Mellit A. S., Rabanovich V. I., Samoilenko Yu. S., “When the sum of partial reflections is a multiple of the identity operator”, Funct. Anal. Appl. 38 (2004), no. 2, 157-160.

• Mellit A., “Kleinian singularities and algebras generated by elements that have given spectra and satisfy a scalar sum relation”, Algebra Discrete Math. 2004, no. 3, 89-110.

• Vlasenko M. A., Mellit A. S., Samoilenko Yu. S., “On algebras, generated by linearly connected generators with a given spectrum”, Funct. Anal. Appl. 39 (2005), no.3, 175-186.

• Mellit A. “Certain Examples of Deformed Preprojective Algebras and Geometry of Their *-Representations”, (2005) arXiv:math/0502055v1 [math.RT]

• Mellit A., Okada S. “Joyce invariants for K3 surfaces and mock theta functions”, (2008) arXiv:0802.3136v1 [math.AG]

• Mellit A. “Higher Green's functions for modular forms” (PhD thesis), (2008) arXiv:0804.3184v1 [math.NT]
• V. Golyshev, A. Mellit, "Gamma structures and Gauss's contiguity", (2009) arXiv:0902.2003v1 [math.AG]