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Gregory Sankaran


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Personal profile

Research interests

I do research in algebraic geometry and some related areas of pure mathematics. Most of my research is concerned with the geometry of moduli spaces and their compactifications. It is possible to use ideas and techniques from number theory (modular forms especially) and algebraic topology to control the geometric behaviour of moduli spaces, and I have been studying this in relation to moduli of abelian varieties, K3 surfaces and hyperkahler manifolds. The geometry associated with those varieties themselves is therefore also of interest to me.

The compactifications I work with are mostly toroidal compactifications and much of my research is directed towards finding new ways to exploit the flexibility of this construction. This leads to questions on such matters as birational geometry, Hodge theory and symmetric spaces, as well as toric geometry.

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Moduli Space Mathematics
Orthogonal Group Mathematics
Fundamental Group Mathematics
Abelian Surfaces Mathematics
Compactification Mathematics
Modulus Mathematics
Symplectic Manifold Mathematics
K3 Surfaces Mathematics

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Projects 2007 2018

Research Output 2000 2018

Fast matrix operations in computer algebra

Tonks, Z., Sankaran, G. & Davenport, J. H., 9 Nov 2018, Proceedings - 2017 19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2017. Ida, T., Jebelean, T., Petcu, D., Watt, S. M., Negru, V. & Zaharie, D. (eds.). IEEE, p. 67-70 4 p. 8531267

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Fundamental groups of toroidal compactifications

Kasparian, A. K. & Sankaran, G. K., 9 Nov 2018, In : Asian Journal of Mathematics. 22, 5, p. 941-954 13 p.

Research output: Contribution to journalArticle

Open Access
Locally Symmetric Spaces
Hermitian Symmetric Spaces
Betti numbers
Fundamental Group

Weighted Castelnuovo-Mumford Regularity and Weighted Global Generation

Malaspina, F. & Sankaran, G. K., 2 Apr 2018, In : Journal of Algebra and its Applications.

Research output: Contribution to journalArticle

Castelnuovo-Mumford Regularity
Weighted Spaces
Projective Space
3 Citations (Scopus)

Hyperelliptic genus 4 curves on abelian surfaces

Borówka, P. & Sankaran, G. K., 1 Dec 2017, In : Proceedings of the American Mathematical Society. 145, 12, p. 5023–5034

Research output: Contribution to journalArticle

Abelian Surfaces
Hyperelliptic Curves
computer scientist


Data for 'Fast Matrix Operations in Computer Algebra'

Tonks, Z. (Creator), University of Bath, 13 Dec 2017



Irreducible holomorphic symplectic manifolds and monodromy operators

Author: Onorati, C., 22 Nov 2018

Supervisor: Sankaran, G. (Supervisor)

Student thesis: Doctoral ThesisPhD


Moduli of deformation generalised Kummer manifolds

Author: Dawes, M., 2 Mar 2016

Supervisor: Sankaran, G. (Supervisor)

Student thesis: Doctoral ThesisPhD